Hans Koster The Impact of Mixed Land-Use 2 | The impact of mixed land-use 3 | The impact of mixed land-use The impact of mixed land-use A hedonic analysis of the effects of mixed land-use on housing values Hans R.A. Koster, VU University Amsterdam 4 | The impact of mixed land-use Acknowledgements A fter I obtained my bachelor degree in Economics at the Erasmus University Rotterdam I had to decide for which master course I would apply. After some considerations I decided to apply for the master Spatial, Transport & Environmental Economics at the VU University in Amsterdam. By finishing this thesis I hope to obtain the masters degree in Economics. I want to acknowledge my supervisor dr. Jan Rouwendal for his helpful comments. I also want to thank Jasper Dekkers for making the data suitable for use and the enthusiastic teaching in the GIS-course which makes me decide to use GIS in my master thesis. Furthermore, I am especially grateful to Chris Jacobs who was very helpful in teaching me some Visual Basic-stuff which was needed to do some crucial analyses. I would also like to thank Henri de Groot, who was very supportive in early stages in the realisation of this thesis. Furthermore, I thank Koos Koster, Gert-Jan Linders and Marije van Huis for comments. Finally, I also thank the teachers of the master course Spatial, Transport & Environmental Economics. They provide me some methods, techniques and ideas that where very useful in preparing this master thesis. The realisation of this thesis was impossible without data. I acknowledge the Dutch Association of Real Estate Agents (NVM) for making the data available. Furthermore, I would like to thank Wouter Jacobs and the Chamber of Commerce for making the data, which contain information about companies in the city region of Rotterdam, available. I want to express my thanks also to the Kadaster for geocoding the NVM-data. 5 | The impact of mixed land-use 6 | The impact of mixed land-use Table of contents Acknowledgements.......................................................................................... page 4 Table of contents................................................................................................page 6 Figures and tables............................................................................................. page 8 Section 1: Introduction................................................................................... page 10 Section 2: Literature review........................................................................ page 14 2.1 A definition of mixed land-use......................................................... page 14 2.1.1 History and overview...................................................................... page 14 2.1.2 A definition..........................................................................................page 16 2.2 The benefits and costs of mixed land-use................................... page 18 2.2.1 The benefits........................................................................................ page 18 2.2.2 The costs.............................................................................................. page 20 2.2.3 An efficient urban spatial structure?........................................ page 22 2.3 Measurement of benefits and costs................................................page 26 2.3.1 Methods................................................................................................ page 26 2.3.2 Revealed preference studies......................................................... page 27 2.3.3 Stated preference studies.............................................................. page 29 2.3.4 Synthesis.............................................................................................. page 30 2.4 A framework to measure the effects of mixed land-use........page 33 2.4.1 Welfare economics and land-use planning: the hedonic framework.................................................................. page 33 2.4.2 A framework to measure the impact of mixed land-use....page 35 Section 3: Datasets and measurements................................................ page 38 3.1 Datasets...................................................................................................... page 38 3.2 Measures of mixed land-uses............................................................page 39 3.3 Regional context: the city region Rotterdam............................. page 42 7 | The impact of mixed land-use Section 4: Model estimation and results.............................................. page 48 4.1 The econometric model.......................................................................page 48 4.2 Empirical results of log-linear models using OLS.................... page 51 4.3 Changing the buffer size......................................................................page 59 4.4 Other specification................................................................................ page 64 4.4.1 Linear and quadratic specifications..........................................page 64 4.4.2 Endogeneity of the regressors..................................................... page 64 4.4.3 Spatial autocorrelation..................................................................page 69 4.4.4 Box-Cox transformations...............................................................page 70 4.5 Discussion of the results..................................................................... page 76 4.6 Caveats........................................................................................................ page 81 Section 5: Conclusions.................................................................................... page 84 5.1 Summary and conclusions................................................................. page 84 5.2 Policy implications and recommendations for further research...................................................................................... page 86 References............................................................................................................. page 88 Executive summary.......................................................................................... page 96 Samenvatting (in Dutch)............................................................................... page 100 Appendices............................................................................................................ page 104 A Buffering techniques................................................................................ page 104 B Descriptives................................................................................................. page 106 8 | The impact of mixed land-use Figures and tables Figures Figure 1 - Outline of the thesis....................................................................... page 12 Figure 2 - An equilibrium if the internal structure of a circular city......................................................................................................... page 24 Figure 3 - A conceptual framework for measuring the effects of mixed land-use.................................................................................. page 36 Figure 4 - The city region of Rotterdam..................................................... page 43 Figure 5 - Population density at neighbourhood level.........................page 43 Figure 6 - Employment density at neighbourhood level.....................page 44 Figure 7 - Variety at neighbourhood level................................................. page 45 Figure 8 - Diversity at neighbourhood level............................................. page 47 Figure 9 - Job population ratio at neighbourhood level...................... page 47 Figure 10 - Relationship between willingness to accept and employment in the industrial sector.................................... page 57 Figure 11 - The willingness to accept one unit of diversity............... page 63 Figure 12 - Comparison of the log-linear and Box-Cox specification................................................................................... page 76 Figure A-1 - Buffering example...................................................................... page 105 9 | The impact of mixed land-use Tables Table 1 - Overview of different planning concepts................................page 17 Table 2 - Overview of the costs and benefits of mixed land-use......page 31 Table 3 - Results of OLS-models.....................................................................page 52 Table 4 - Marginal willingness to pay for a one unit increase in employment......................................................................................... page 57 Table 5 - Concentration per sector............................................................... page 59 Table 6 - Results log-linear OLS with different buffer sizes...............page 61 Table 7 - The willingness to pay for different characteristics...........page 62 Table 8 - IV-estimates........................................................................................ page 66 Table 9 - Marginal willingness to pay for a one unit increase in employment........................................................................................ page 69 Table 10 - Results of Box-Cox specification compared to a log-linear Specification...................................................................................... page 72 Table 11 - Marginal willingness to pay for a one unit increase in employment...................................................................................... page 74 Table B-1 – Descriptives.................................................................................... page 106 10 | The impact of mixed land-use Section 1: Introduction M any contemporary regional planning policies aim to enhance sustainability and liveability of neighbourhoods. In order to do so, it is presumed that mixing land-uses, amongst other things, will promote this sustainability. These mixed land-use policies are the backbone of holistic planning programs such as Smart Growth and New Urbanism. Since Jane Jacobs in 1961 suggested that mixed land-use is preferable over monofunctional land use, this mixing of land-uses is a subject of debate in the United States. The debate is still indecisive, mainly because it is not clear how we have to control the local urban constitution but moreover, it is not clear whether we have to control the local urban form (KOOMEN ET AL. 2008). Also in Europe as well as in the Netherlands there is a debate about how to constitute the local economy. Both in United States and continental Europe there are many voices which claim that mixing land uses yields socio-economic benefits and will stimulate sustainable urban growth. Although it is somewhat unclear what really the impact of mixed land-use on the local economy is, several municipalities adopt the so-called ‘Smart Growth’ concept. Examples of cities that adopt such strategies are Arlington, Minneapolis-St. Paul and Denver. Also in the Netherlands, the compact city concept, which aims to stimulate densities and mixed landuse, is a widely executed planning policy (KOOMEN ET AL. 2008). However, according to HOPPENBROUWER AND LOUW (2005) mixed land-use is an ambiguous concept, both in theory and in practice. In this thesis I first want to overcome some of that ambiguity by carefully defining the concept of mixed land-use. Moreover, it is examined which benefits and costs are considered as relevant when one implements mixed land-use. Furthermore, I perform a hedonic price analyses to investigate the impact of mixed land-use on house prices. 11 | The impact of mixed land-use Thus, the aim of this thesis is twofold. First, this thesis aims to integrate different views on mixed and multifunctional land use and make an assessment of the benefits and costs. The second objective of this study is to provide some evidence which confirms or negates the claim of planners that mixed land-use yields socio-economic benefits. In this study I will not discuss the institutional dimension of this topic. Clearly, the government has an important role in setting up mixed land-use projects and implementing zoning policies.1 In the context of measuring socioeconomic benefits and costs the institutional dimension is however of less importance. This thesis is structured as follows. In section 2 the literature concerning mixed land-use is briefly discussed. In this section I carefully define mixed land-use, present a typology and discuss the main effects. In section 3 the data is introduced, some measurements of mixed land-use are proposed and there is some attention paid to the regional context. Section 4 presents a number of hedonic price models in which I investigate the impact of mixed land-use on house prices. Section 5 concludes and discusses some recommendations for further research. The structure of this thesis is summarised in figure 1. 1 A government use multiple instruments to organise the local economy. For example, by providing subsidies to influence firms locational incentives. 12 | The impact of mixed land-use Figure 1: Outline of the thesis Section 1: Introduction EMPIRICAL APPLICATION THEORY Section 3: Introduction of data and measurements Section 2: Definition, typology and conceptual framework Section 4: Hedonic Price Models CONCLUSION Section 5: Section 5: Conclusions 13 | The impact of mixed land-use 14 | The impact of mixed land-use Section 2: Literature review I n this section I will introduce the concept of mixed land-use. An overview of planning concepts is given wherein mixed land-use is an important component. A definition is proposed. Using this definition, the potential costs and benefits of mixed land-use are investigated. There is also attention paid to the most efficient spatial structure. This section concludes with a discussion of some methods and a framework to systematically measure the impact of mixed land-use. 2.1 A definition of mixed land-use 2.1.1 History and overview In the old Greek and Roman cities, but also in the cities of the middle ages, living, working and shopping were all located within the city walls (WRIGHT 1967, COUPLAND 1997). People often lived very close to their work and to shops. In the early 20th century this ‘natural’ constitution of mixed land-uses comes to an end. Due to technological progress, especially in the transport sector, and changes in cultural behaviour, land uses were often separated (GRANT 2004). Moreover, many policies in sixties were promoting monofunctional areas and neighbourhoods. In 1961 the geographer Jane Jacobs was the first who argued that mixed land-use can be beneficial for the local economy. She hypothesised that a balanced mix of living and working will lead to liveable, safe and viable neighbourhoods (JACOBS 1961). After the publication of Jacobs’ The Death and Life of Great American Cities, an increasing number of urban planners embraced the idea of mixed land-use. It became widely accepted that mixed land-use was a remedy for the problems that urban sprawl cause. Although it is not clear to what extent sprawl and inefficient use of land lead to an inefficient outcome of the local economy, a number of planning concepts incorporate mixed land-use as a planning principle that overcome these potential inefficiencies (GRANT 2004). Planning concepts like New Urbanism, Smart Growth, the Compact City Concept and 15 | The impact of mixed land-use multifunctional land use (MLU)2 all aim for a more efficient use of space. Briefly, these concepts are characterised as follows: - The New Urbanism concept focuses on liveable and sustainable communities. Initiators of New Urbanism want to create such communities, among other things, by improving the quality of life, enhancing connectivity, promoting sustainability, increasing density and developing neighbourhoods which are diverse in terms of land uses, people and range of housing types. Mixed-use is promoted within neighbourhoods, blocks and within buildings (NEWURBANISM.ORG 2009). By implementing this concept, planners fight against the negative effects of urban sprawl. - The Smart Growth planning concept is much like the New Urbanism approach although there are some differences. There is more attention paid to the protection of open space (VREEKER ET AL. 2004) and more a focus on sustainable growth. Mixed land-use is one of the ten key principles and is defined as “putting uses in close proximity to one another” (SMART GROWTH NETWORK 2009). - The Compact City Concept is a European planning concept which aims to improve the environmental and economic performance of cities (VREEKER ET AL. 2004). The idea is that by increasing the urban density and by mixing uses, the distance between different activities reduces and therefore the demand for car travel declines (MAAT 2002). - The concept of multifunctional land use (MLU) is to a large extent a Dutch concept which focuses on the sustainable use of land. Thereby there is a clear focus on the creation of synergy-effects of mixing uses (VREEKER ET AL. 2004). Multifunctional land use is characterised by four components (RODENBURG 2005): 1. Intensification of land use; 2. Integration of different land use functions; 2 To this concept is sometimes referred as Multiple Land Use, or Multiple and Intensive Land Use. In this paper we will use the term Multifunctional Land Use (MLU) 16 | The impact of mixed land-use 3. Multi-stories buildings (i.e. use of third dimension); 4. Use of the same area by several functions within a certain timeframe. RODENBURG (2005, pp. 12) comes to a definition of multifunctional land use where the second, third and fourth components are included:3 “A land use pattern is said to become more multifunctional when, in the area considered, the number of functions, the degree of interweaving, or the spatial heterogeneity increases. […]” LOUW AND BRUINSMA (2006) and VREEKER (2004) argue that multifunctional land use is a successor of mixed land-use. This is not really the case since multifunctional land use is a planning concept while mixing land-uses is only part of planning concepts. Thus, mixing land-uses is an important component of MLU, but MLU is not the successor of mixed land-use.4 It is important to note that these concepts assume that by applying mixed land-use policies, an economically most preferable solution is reached. In subsection 2.3 I will look if this is really the case. 2.1.2 A definition In the preceding paragraph I discussed some planning concepts. In table 1 the main findings are summarised. We can observe that these planning concepts do have much overlap. They all focus on a sustainable use of land, a diverse neighbourhood in terms of uses and they suppose that this new configuration of the local environment is socially and economically RODENBURG (2005) argues that intensification is not part of the definition of MLU. According to RODENBURG ET AL. (2003) the main difference between mixed and multifunctional land use is that the latter focuses on the synergetic effects of different uses located nearby each other. This difference can only be important in measuring the benefits of mixed land-use. But the ‘idea’ of mixing uses remains the same: combining different socio-economic functions within an area. Thus, mixed land use is part of the MLU-concept like mixed land use is part of the planning concepts like New Urbanism and Smart Growth. That these planning concepts differ is very clear. 3 4 17 | The impact of mixed land-use preferable. It is important to note that mixed land-use is part of all the discussed planning concepts and not the planning concept itself (LOUW AND BRUINSMA 2006). A definition of mixed land-use that is compatible with all these concepts is the definition that PRIEMUS ET AL. (2000) gave: “The combination of different socio-economic functions in the same area.” Table 1: Overview different planning concepts NEW URBANISM SMART GROWTH COMPACT CITY CONCEPT MULTIUNCTIONAL LAND USE Characterisation Creating sustainable communities where people enjoy living and seeking solutions to environmental problems. A collection of land use and development principles that aim to enhance our quality of life, preserve the natural environment, and save money over time. Improve environmental and economic performance of cities. Sustainable use of land and creation of synergy effects between different uses. Definition of mixed land-use A mix of shops, offices, apartments, and homes on site. Putting different land uses in close proximity to one another. A balanced proportion of the existence of the functions: living, working, shopping and education in one single urban district. Implementing multiple functions within a given area. Geographical scale Neighbourhoods and buildings. Neighbourhood City, Urban district, Neighbourhood Neighbourhood 18 | The impact of mixed land-use I will use this definition in the remainder of the thesis. Socio-economic functions can be housing, recreation, working, shopping etc. The nice feature of this definition is that it does not prescribe which uses are good to combine or how much the proximity to uses must be. In our study I will find out which uses are positively affecting house prices and if there are external effects of mixing land-uses on house prices. 2.2 The benefits and costs of mixed land-use It is hypothesised that mixed land-use assures neighbourhood sustainability and reduces urban sprawl but in the end, as an economist, I am particularly interested if welfare is increased when such policies are implemented. In the next subsection I will discuss some potential benefits and costs that could arise when mixed land-use policies are implemented. Finally, some attention is paid to which internal structure of a city is economically efficient in theory. 2.2.1 The benefits In section 2.1 we found out that a number of planning concepts consider mixed land-use, amongst other things, as a solution to problems that urban sprawl causes: long commuting times, congestion, air pollution and segregation (SONG AND KNAAP 2004). The AMERICAN PLANNING ASSOCIATION (1998) argues that mixing of different socio-economic functions can lead to a better preservation of open space, stimulate walking, bicycling and intensified use of public transport, encourage street activity, and support local businesses. This is in line with the planning concepts like New Urbanism, Smart Growth and the Compact City Concept. The multifunctional land-use concept focuses more on the synergetic benefits that might arise when mixed land-use is implemented. VREEKER (2004) makes a distinction between environmental, social and economic benefits. He argues that environmental benefits are (1) a better preservation of open space, (2) less air pollution, since there is a reduction in mobility: due to living and working in each other’s vicinity, the 19 | The impact of mixed land-use commuting pattern can be more efficient, and (3) a reduction in building energy consumption. According to VREEKER there are also potential benefits to society. Namely, (1) an increase in the overall accessibility, (2) reduction in crime rates and (3) an increased quality of life. Eventually there are potential economic benefits in the form of (1) increased diversity leading to more economic vitality of the neighbourhood, (2) more efficient provision of infrastructure and, (3) increased productivity due to economies of scale, density and diversity. We can see VREEKER (2004) mixes up some benefits of increased density with the benefits of mixed land-use. An increased intensification of land does not necessarily imply mixed land-use. In other words, economies of density are not benefits of mixed land-use, but benefits of the intensification of land.5 Also VAN WEE (2003) discusses some benefits of mixed land-use. Mixed land-use may have impact on travel safety and overall safety, because mixed land-use probably stimulates walking and the use of the bicycle. It may also intensify street life. Furthermore, VAN WEE (2003) expects that people value the proximity to shops and urban amenities positively. RODENBURG ET AL. (2003) focuses more on the economic benefits of mixed land-use. Amongst other things, agglomeration externalities or synergetic spillovers, an increase in shopping variety and economies of density are considered as economic benefits of mixed land-use. The MLU-concept focuses on synergy effects and externalities between different uses. To analyse these externalities RODENBURG ET AL. (2003), VREEKER (2004), VREEKER ET AL. (2004) and RODENBURG (2005) links the economic theory of agglomeration externalities to mixing land-uses. A distinction is made between localisation economies and urbanisation economies (HOOVER 1936, 1948). Localisation economies occur when the average costs of production of an individual firm decreases when the total output in a sector increases. Urbanisation economies are experienced when the average costs of an individual firm decreases when the total For example, the better protection of open space is only relevant when the building intensity is higher, so that there is more space available. 5 20 | The impact of mixed land-use output in an urban area or city increases (VREEKER 2004). However, the emphasis of the theories of Marshall and Hoover is on the clustering of firms (MCCANN 2001, O’SULLIVAN 2003). Often, mixing land uses imply that housing and firms are combined in each other’s vicinity. The aforementioned authors do not pay attention to the fact that this localisation economies and urbanisation economies are more difficult to apply to a mixed urban area with both housing and employment. Are there, for example, externalities present when housing and firms are located in each other’s proximity? What are the sources of these externalities? Are there existing examples of these externalities? Thus, the theory about agglomeration economies is only applicable to the spatial setting of firms and not to the co-location of housing and firms and is therefore of limited relevance in the analysis of the benefits of mixed landuse. It is almost neglected in literature that there are also external effects of individual land-uses on other land-uses in vicinity. In our case, we take also the effects of different land-uses on property values into account. When in a given area more mixing is implemented, there will be for example more commercial land use in vicinity of a house. This commercial land can have positive effects: for example, people value shopping variety and the short travel time positively. For each different land-use there are different positive effects imaginable. 2.2.2 The costs In order to present a nice picture of the ideal neighbourhood, the aforementioned planning concepts neglect to a large extent the potential costs of mixed land-use. Also in the literature, less attention is paid to the costs of mixed land-use. But certainly there are also potential costs when one implements mixed land-use policies. VREEKER (2004) acknowledges that there can be costs involved with mixed-use. He again makes a distinction between environmental, social 21 | The impact of mixed land-use and economic effects. Environmental costs can be incurred due to the lack of access to open space or concentration of environmental problems in one location. Social costs can be imposed when there is a conflict between activities (for example, parking vs. living) or when there is a loss of privacy due to the intensification of land. CHESHIRE AND SHEPPARD (2002) argue that costs of land use policies are in general reduced availability of private land. For example, because of a Smart-Growth policy that stimulates preservation of open space, there will be less land available for private gardens, something people can dislike. Also VREEKER argues that the quality of life might also reduce in areas where mixed land-use is implemented. Economic effects comprise that there can be higher congestion costs due to a suboptimal city size, higher wages have to be paid or there is a lack of potential economic growth for rural areas. Which uses are mixed and the degree of mixing can also cause social costs: GRANT (2004) concedes that too much mixing and mixing the wrong elements may lead to an ‘unbalanced area’. We could think of more costs that are involved when mixed land-use is implemented that are not mentioned in literature. Again the external effects of individual land-uses are almost neglected: for example, when residential land is mixed with heavy industry, people who live in that mixed area will probably not appreciate that because of horizon pollution, air pollution and noise pollution. Again, each different land-use can have different adverse effects. To summarise the most important costs, there can be costs incurred because people or firms can value the new situation of mixed land-use worse than the old situation when (1) certain uses are combined that are incompatible: there are adverse effects of individual land uses, (2) the accessibility and amount of open space declines (3) there is less privacy because of the different uses that are located nearby each other or (4) the reduce in mobility results in increased travel time. Generally, we can observe that mixed land-use can both incur costs as benefits on the same issue. For example: mixed land-use can stimulate efficient commuting but perhaps mixed land-use can also cause longer commuting times because of 22 | The impact of mixed land-use an improper urban spatial structure. We have to look at some empirical evidence to find out which effect dominates for different issues. Furthermore, the forces which can lead to different spatial patterns are not yet identified. 2.2.3 An efficient urban spatial structure? A number of economists studied which constitution of a city would is an economic equilibrium and if this equilibrium is optimal. Already in 1967 MILLS studied an efficient resource allocation in a city. He found that an efficient allocation causes clustering of firms in the centre of the city, while residential land was located outside the inner ring of the city. Residential land which was located nearby business land had a higher value, because of less commuting costs. But MILLS (1967), STULL (1974) and HELPMAN AND PINES (1977) only look at the margin between residential and industrial land use, and mixed land-use could therefore not arise. Also external effects of business land on property values of houses are neglected. FUJITA AND OGAWA (1982) set up a spatial model of a closed economy in a linear city wherein there are two land-uses: residential use and business use. Production of goods or services takes place in the city because of production externalities. These externalities are benefits of one producer to another business nearby. Two types of these production externalities are localisation and urbanisation economies (MCCANN 2001). These externalities decreases in distance which make it beneficial for a business firm to locate close to another business firm. Workers want to live close to their work because of commuting costs. The reason why not everybody is locating in the city centre is the scarce availability of land. FUJITA AND OGAWA show that when the commuting costs are considerably high, the equilibrium comprise a mixed local economy where workers live next to their job, in order to minimise commuter costs. When commuting costs are lower, and the intensity of production externalities decrease not too fast in distance, firms will cluster. With moderate commuting costs and a moderate decay rate of production externalities multiple equilibria exists with multiple business centres. ANAS AND KIM (1996) define a general 23 | The impact of mixed land-use equilibrium model where retail firms and people interact. Shopping trips and commuter trips are examples of this interaction. Transportation is characterised by congestion. The city centre is the most preferable place to locate because it has the best accessibility. In absence of production externalities between firms, the urban spatial structure will be that houses and firms are mixed. However, when there are substantial production externalities while the congestion costs are not too large, firms will locate in the city centre. In contradiction with FUJITA AND OGAWA (1982), LUCAS AND ROSSI-HANSBERG (2002) and ROSSI-HANSBERG (2004) look at the internal structure of a circular city instead of a linear city. Substitution between land and labour is allowed. In figure 2 we can see a schematic map of an equilibrium which could arise when the model of LUCAS AND ROSSIHANSBERG is implemented in a circular city with two land-uses. When the commuting costs are high enough, people like to live next to their jobs: the city experiences mixed use. When commuting costs decrease, monofunctional areas will arise, sometimes next to a mixed area. When the commuting costs are very low, the benefits of production externalities will dominate the commuting costs: a so-called Mills city will arise with all the employment in the geometric centre of the city and residential use in a ring around the centre. ROSSI-HANSBERG (2004) proves that the equilibrium outcomes of LUCAS AND ROSSI-HANSBERG are oftentimes not efficient. Moreover, in his model, mixed areas are never an efficient outcome, although it can be an equilibrium outcome.6 The reason why an equilibrium outcome is not necessarily an efficient outcome is the fact that firms do not take the positive externalities into account which they imposes on other firms when they make their profit maximizing locational 6 To be more specific: he argues that there are two conditions needed in order to have mixed areas. First, the stock of workers that are homeless must be zero and the value of adding an extra worker must exactly equal the value of housing an extra resident. ROSSI-HANSBERG finds that there are no intervals on which this is the case, only at specific locational points. To use the language of ROSSI-HANSBERG: “The two values may cross but their slope with respect to distance to the city centre differs. This is called a transversal crossing.” 24 | The impact of mixed land-use decision. ROSSI-HANSBERG argues that the mixed areas we observe in real cities are evidence of the existence of production externalities. When we look at the land rents of the different spatial structures, we see in general that the land-rents are higher in business areas. These higher land-rents in business areas are explained by the fact that production externalities arise when firms locate next to each other. Furthermore, LUCAS AND ROSSI-HANSBERG show that the land rents for residential land not need to be substantially higher close to business land. However, the difference in property values nearby and further away from business areas depends largely on the height of the commuting costs. Figure 2: An equilibrium of the internal structure of a circular city SOURCE: LUCAS AND ROSSI-HANSBERG (2002) 25 | The impact of mixed land-use In the models of FUJITA AND OGAWA, ANAS AND KIM, LUCAS AND ROSSI-HANSBERG and ROSSI-HANSBERG it is assumed that firms experience perfect competition. This is not a very realistic assumption: firms produce in reality a wide variety of goods which compete with each other to some extent. When the market is characterised by firms which are competing imperfectly, FUJITA (1988) has shown that introducing a land market in a model which assumes monopolistic competition (DIXIT AND STIGLITZ 1977) will lead to multiple equilibria with either a mixed urban structure wherein firms and residential use are mixed or segregation of uses. Again, in all these models the external effects of land-uses (in these cases business land) on property values of houses are neglected. In our study we especially pay attention to these more sophisticated effects. To summarise, economic theory does not provide decisive answers about what is the most efficient urban spatial configuration.7 However, theory offers insight in which forces can cause a mixed or monofunctional urban structure. The two main forces are interaction between firms and residents, i.e. commuting costs, and production externalities between firms which will arise when these firms are located next to each other. The outcomes of these models are in general characterised by multiple equilibria, path dependence, and ‘catastrophic transitions’ (ANAS ET AL. 1998). But there is still less evidence on what is the height of commuting costs when congestion is taken into account, and the intensity and scale of production externalities. Moreover, the stylised nature of the models and the simplification of the urban economy (only two land-uses, a circular/linear city, perfect competition etc.) may reduce the applicability of such models to reality. Hence, it is still unknown what the most efficient urban spatial structure is: a mix of living and working or segregation of uses. For a more thorough review of the literature concerning the efficient urban spatial structure, see ANAS ET AL. (1998). 7 26 | The impact of mixed land-use 2.3 Measurement of benefits and costs In the preceding subsection I discussed the potential benefits and costs when different uses are mixed within an area. In the subsequent subsection I discuss some methods to measure this benefits and costs. I also discuss a number of empirical studies which I divide into results of revealed preference studies and stated preference studies. In the end the main empirical results are summarised. 2.3.1 Methods RODENBURG ET AL. (2003) and VAN WEE (2003) discuss two methods to assess the benefits and costs of mixed land-use: cost-benefit analysis (CBA) and multicriteria analysis (MCA). Cost-benefit analysis takes the consumer preferences as natural starting point (VAN WEE 2003). Furthermore, CBA tries to evaluate a project or alternative in monetary terms. MCA does not express all units in monetary values but depends more on the weights the units are given. The latter method has as main disadvantage that it mixes research and politics since the weights of each variable is subjectively defined. Therefore CBA-methods are preferred. In the coming paragraphs I will discuss evidence for some effects of mixed land-use, but I will not be able to present a complete CBA. 8 There are two methods to value the consumer preferences. Revealed preference (RP) means that the preferences of the consumers can be revealed by their economic behaviour. An assumption is that consumers maximise their utility. When using stated preference methods (SP) one confronts consumers with hypothetical choice sets. With respect to mixed land-use, there is clearly a so-called NIMBY- (not-in-mybackyard) or LULU-effect (locally-unwanted land-uses). A number of activities are impossible to mix with residential land use since people will not live near a number of activities (e.g. heavy industry, dance clubs, cafés etc). 8 27 | The impact of mixed land-use 2.3.2 Revealed preference studies SONG AND KNAAP (2004) analyse the effects of mixed land uses on the value of housing. They use regional data and data with transaction prices of houses in Washington County (OR). They define different measures of mixed land use. Their main findings are that mixing certain types of activities with the residential use of land will affect the property values positively, especially when these houses are located nearby parks. Furthermore the findings show that property values are higher in neighbourhoods where single-family units dominate. The authors come to the conclusion that it is very important how the land is mixed: there must be a careful selection of activities that will be mixed. According to the authors, more research into the configuration of the neighbourhood is needed. In their older study which is also performed in Washington County they investigate the effects of urban form, namely a new urbanistic configuration of neighbourhoods. SONG AND KNAAP (2003) found that density, commercial use, public land use and busy transportation corridors negatively affect housing prices. In the study of DE VOR AND DE GROOT (2009), the effects of industrial sites (and thus industrial land use) on housing prices are measured to check whether industrial activities cause negative effects for houses in vicinity. They found that the negative effects of industrial sites are largely localised and that the housing prices increase with distance to the nearest industrial site. However, they do not study if different compositions of industrial sites influence these results, which is probably the case. In the much older study of CAO AND CORY (1981), a hedonic price analysis is done in order to measure the impact of land-use externalities on property values. In the model it is assumed that economic activity is spread over the urban area. The study is performed in the city of Tucson, which is located in Arizona. They find that when the amount of industrial, commercial or public land increases, the property values of residential land tend also to increase, ceteris paribus. Furthermore, property-owners are more concerned with the actual land use than possible future land-use policies. Eventually, the more there are non-single family homes in the neighbourhood, the higher 28 | The impact of mixed land-use the value of property. They conclude, like SONG AND KNAAP (2004), that an optimal mix of land-uses must be sought. Monofunctional land-use or separation of the different activities must be discouraged. BURNELL (1985) concentrates on the effects of industrial land use on residential property values in Cook County, Illinois. BURNELL makes a distinction between localised and non-localised externalities. An example of a localised externality can be land use while an example of a non-localised externality is air pollution. He found that residents value the presence of industrial activity positively although property values are lower in municipalities that face severe pollution. An increase in commercial use will also lead to an increase in the property values, holding the other variables constant. Eventually he concludes that not only the presence of industrial activity is important but also the type of industrial activity. In an old study of LAFFERTY AND FRECH (1978) it is found that industrial land and institutional land affect property values of single family-dwellings positively, while commercial land have a negative impact on property values. It is hypothesised that mixed land-use will lead to more efficient commuting patterns and less transport costs since people live closer to their work and urban amenities. CERVERO (1995) investigates whether mixed land-use will optimise commuting. He uses data from the American Housing Survey (AHS). Two land-use variables from the AHS to identify the degree of mixed land-use are incorporated in the model. CERVERO found that a higher density in combination with mixed land-uses discourages car-ownership and induces shorter commutes. Increasing density does influence transport mode choices stronger than mixed landuses, except for the choice of walking or cycling. Furthermore, when activities are located within a very close distance (300 ft.), this induces people not to travel by car, while beyond this distance a mixed urban environment stimulates car commuting. To summarise, we see in general that other land-uses positively affect property values. Thus, people value other land uses in their vicinity 29 | The impact of mixed land-use positively. Furthermore, there is some evidence that mixed land-use influence commuting patterns and mode choice although the effect is not very strong. Density appears to influence this stronger. However there are a number of problems that appear in a number of studies: arbitrarily defined geographical scale, lack of robustness due to analysing only one region or city and a rough definition of mixed land-use. 2.3.3 Stated preference studies RODENBURG (2005) notices that stated preference techniques are not yet much applied in the field of urban planning and urban economics. She examines what is the willingness to pay for employees and employers for a multifunctional design of the Amsterdam South-axis (Zuidas). Furthermore, she investigates what is the willingness to accept a multifunctional urban design instead of the current living environment of the residents. It is important to note that RODENBURG compares the current urban design with a multifunctional one, i.e. she does not compare monofunctional land use with mixed land use. Contrary to other studies, RODENBURG (2005) surveyed different actors (not only residents) that are influenced by a mixed land-use project. She found that employees prefer a multifunctional design of the south-axis: they are willing to pay € 6.88 for non-shopping facilities.9 Also employers prefer a mixed land-use design. They expect that additional services, open space and shopping facilities will raise their long term profits. However only 20% of the firms located at the south-axis is willing to pay something for a mixed design. Contrary, residents do not prefer a mixed land-use design. Therefore the willingness to accept a mixed urban design is computed. The results show that when someone lives in a more expensive house, the dweller asks for more compensation. In general, we see that actors consider a mixed urban design as a positive side-effect of the living environment, but something what is not worth to pay for. Examples of non-shopping facilities are catering facilities, transport services and ‘other’ facilities (RODENBURG 2005). 9 30 | The impact of mixed land-use The disadvantages of SP are known: cognitive incongruity with actual behaviour, context effects that influence the results and systematic misrepresentations of preferences. An example of the latter is that employers and employees attach more value to the mixed land-use design than they are willing to pay. Therefore, revealed preference methods, such as hedonic pricing methods, are preferable (CHESHIRE AND VERMEULEN 2008). 2.3.4 Synthesis In this section I investigated some of the costs and benefits of mixed landuse. We also looked at some empirical evidence. We saw that the idea of mixing land-use arose in the sixties since urban sprawl and monofunctional land uses were causing problems. A number of planning concepts incorporated mixing land-uses as an important component to overcome these problems. I came to an integral definition of mixed landuse, “the combination of different socio-economic functions in the same area” (PRIEMUS ET AL. 2000), which is compatible with all important planning concepts like New Urbanism, Smart Growth and Multifunctional Land Use. I looked into literature to investigate what the potential benefits and costs of mixed land-use are. These potential benefits and costs are listed in table 2. It is also mentioned if these benefits or costs are compatible with the definition of mixed land-use which is used in the different planning concepts and if there is empirical evidence for these benefits or costs.10 VREEKER (2004) made a distinction between environmental, social and economic benefits costs. Amongst other things, less commuting time, environmental benefits due to less emissions and synergy-effects are potential benefits. That mixed land-use also can yield costs is almost neglected by urban planners. Although the evidence for the individual benefits and costs is difficult to identify we make an attempt to link the potential benefits and costs to the empirical literature. 10 COSTS PLANNING CONCEPT EVIDENCE Mobility Reduction in (car) mobility resulting in fewer emissions; Shorter commuting time and less congestion. Long travel time due to decreased mobility and inefficient provision of infrastructure. New Urbanism, Smart Growth CERVERO (1995): Mixed land-use influence transport mode choice and stimulate walking and bicycling within 300ft. Proximity of uses Synergy effects between uses and land use externalities, less transport costs. Conflicts of uses. For example the NIMBY and LULU effects; Loss of production externalities (LUCAS AND ROSSIHANSBERG 2002) Multifunctional Land Use, New Urbanism, Smart Growth, Compact City Concept. CAO AND CORY (1981), BURNELL (1985), SONG AND KNAAP (2003,2004), DE VOR AND DE GROOT (2009): some land uses are valued positively by residents when located in proximity, others negatively; RODENBURG (2005): Employees and employers value (non)-shopping variety positively. Quality of life Increased safety due to intensified street life. Loss in privacy. New Urbanism, Smart Growth, Multifunctional Land Use HOPPENBROUWER AND LOUW (2005), RODENBURG (2005): employers and employees like the mixed urbandesign while residents of the SouthAxis value a mixed land-use design negatively. 31 | The impact of mixed land-use BENEFITS Table 2: Overview of the costs and benefits of mixed land-use. ISSUE 32 | The impact of mixed land-use However, VREEKER (2004) and CHESHIRE AND SHEPPARD (2002) argue that costs can be incurred when uses are mixed wrongly or when the new situation is experienced negatively by the residents. According to RODENBURG ET AL. (2003), the effects of mixed land-use are not only economic but also do have a socio-environmental component. This makes the measurement of benefits and costs of mixed land-use more difficult. GRANT (2002) argues that “Mixed land-use has become a mantra in contemporary planning, its benefits taken for granted.” Indeed we saw there was less empirical evidence supporting the idea that mixed land-use yield social, environmental and economic benefits and reduce sprawl. KOOMEN ET AL. (2008) admit that empirical evidence still not lead to decisive answers: “The sprawl-versus-containment debate relates to many different aspects [...] and as such the answers found by research are rarely decisive.” However, there is some evidence showing us that some land use leads to higher property values although the answers on which uses affect property values positively are not decisive. CERVERO (1995) found that mixed land-use influences transport mode choice and promote bicycling and walking within 300ft., although the building density does have more effect on commuter behaviour. To what extent compact city concepts like Smart Growth and New Urbanism reduce commuter travel is still unclear (GORDON AND RICHARDSON 1990; SCHWANEN ET AL. 2004; HANDY 2005). In the end, the main difficulty is that the debate on organising the local economy is highly normative, while there is still less positive evidence for these normative assertions. 33 | The impact of mixed land-use 2.4: A framework to measure the effects of mixed land-use In the preceding subsection we saw that there is less empirical evidence showing that mixed land-use is beneficial for the local economy. In this subsection we discuss some methods to measure the economic impact of mixed land-use on housing values and we present a framework wherein we apply these methods. 2.4.1 Welfare economics and land-use planning: the hedonic framework Urban planners are not used to evaluate planning concepts in economic terms and to verify if a planning concept leads to an efficient outcome. Economists often analyse the current situation in a rational way, where planners are often judging plans to their own believes (CHESHIRE AND VERMEULEN 2008). The economic approach can therefore offer good new insights in the debate about the configuration of the local economy, because economists take the preferences of individual actors as starting point; namely, everyone is in judge of its own welfare, which is one of the basic postulates of welfare economics. It is important to note that although economics can offer important contributions to the valuation of distributional outcomes of planning policies, economists have generally little to say on how this outcomes should be; which outcome is the most desirable one (CHESHIRE AND VERMEULEN 2009). Because the hedonic price model uses the individual preferences as natural starting point, the application of hedonic price models is perfectly suitable. It is also preferable to use in this situation since this method is helpful to identify the impact of a number of externalities on property values (ROSEN 1974; DE VOR AND DE GROOT 2009). In a hedonic price analysis the price of a heterogeneous product is regressed on a vector of characteristics of this product. In our case: transaction prices are regressed on a number of characteristics of the house. In applying this method, the implicit prices of the attributes can be traced, in other words, the marginal willingness to pay for different characteristics can be computed. The stock of literature in which one applies hedonic methods is 34 | The impact of mixed land-use huge and still growing. Specific attention is paid to the effects of environmental amenities and disamenities on real estate values (c.f. KOHLHASE 1991; HITE ET AL. 2001; BONTEMPS ET AL. 2008; DEKKERS AND VAN DER STRAATEN 2008). But there are also studies done to other aspects which influence housing prices, such as the proximity to industrial sites (DE VOR AND DE GROOT 2009), the amount of open space in vicinity (KAUFMAN AND CLOUTIER 2006; ROUWENDAL AND VAN DER STRAATEN 2008), and the effects of railway stations and networks on property values (DEBREZION ET AL. 2004, 2006). Also the studies of SONG AND KNAAP (2003, 2004) use hedonic methods to measure the effects of land-use planning. I have discussed the results of the latter studies in detail in section 2.3.2. Hedonic pricing methods have also some drawbacks (FARBER 1998; KIEL ZABEL 2001). First, the strong assumption of a housing market in equilibrium is almost never fulfilled. Since a lot of hedonic analyses are done in only one year, the outcomes can differ a lot if the housing market is far from equilibrium. Therefore it is preferable to analyse housing prices over a longer period of time (DE VOR AND DE GROOT 2009). Second, it is hard to identify the real willingness to pay for housing characteristics. In reality people have a limited number of options where they can live, i.e. there is a selection problem. People can for example accept to live nearby a disamenity and property values therefore not reflect the true willingness to accept to live nearby a disamenity. Third, applying these hedonic methods to our case, we are only able to measure the net-effects of mixed land-uses on property values. Positive effects such as the appreciation of urban amenities in vicinity can be outbalanced by adverse effects such as noise pollution, but this we cannot identify in the results. In spite of these limitations I adopt this method to measure the impact of mixed land-use on real estate values. AND 35 | The impact of mixed land-use 2.4.2 A framework to measure the impact of mixed land-use The planning concepts like New Urbanism, Smart Growth and MLU state that mixed land-use yield socio-economic benefits. In our opinion it is too early to make such statements. In this research I want to measure the impact of mixed land-use on house prices to be able to verify if one of the keystones of these concepts, namely mixed-land use, contributes to a more efficient local economy. Assume that a government decides to adopt the planning principle of mixing land-uses. This decision will affect the local environment (for example, a neighbourhood). A mixed urban environment will arise with both houses and different land uses (e.g. shops, light industry, advanced producer services). These land uses will probably affect the willingness to pay for ‘house X’, land uses that are located in proximity more than land uses that are located further away. For example, when ‘land use B’ is heavy industry, the price of ‘house X’ is probably lower than when ‘land use B’ are shops. But I also expect that the local environment as such will influence the price of ‘house X’. Namely, the Smart Growth Concept and the supporters of New Urbanism assume that people will like (and prefer) a mixed urban environment (SMART GROWTH NETWORK (2009), NEWURBANISM.ORG (2009)). Thus, I expect mixed land-use will influence property values in two ways (figure 3): 1) Via the effect of individual land-uses on housing prices 2) Via the effect of the local environment as a whole on the housing prices. I will apply a hedonic framework to examine the effects of mixed-land use on property values. The different land-uses are represented by the number of employees which are working in the different sectors, i.e. employment is a proxy for the presence of different land-uses. Taking the employment into account and not only the type of use is preferable since it corrects for the intensity of presence of a land-use. 36 | The impact of mixed land-use As already mentioned we are only able to measure the net-effects and not identify the specific positive and negative effects as discussed in section 2.3 of both individual uses and the environment as a whole on property values. Furthermore, it is important to note that all the different land-uses are taken into account, except the amount of open space and infrastructural land-use in vicinity of a house since the land-uses are not represented by employment. This is clearly a drawback of this analysis since I neglect effects of open space and infrastructural quality, which most likely influence property values. Figure 3: A framework for measuring the effects of mixed land-use Land use A Land use B House X Land use C Local (mixed) environment A government implements mixed land-use policies Land use D 37 | The impact of mixed land-use 38 | The impact of mixed land-use Section 3: Datasets and measurements I n this section I will introduce our data and discuss how different aspects of mixed land-use are measured. This section is concluded by considering the regional context. I will also compute some measurements on neighbourhood level to get an idea of the local constellation of the region. 3.1 Datasets My analysis is based upon three datasets. The first dataset is from the NVM (Dutch Association of Brokers). It contains data from 10152 housing transactions in 2006 in the Rotterdam city region. These data describe the transaction price of a house and a number of structural characteristics of the house, such as size, number of rooms and type of house. This database contains very rich and precise information about structural characteristics of houses. In the NVMdatabase I delete the unrealistic values. For example I delete all the transaction prices of houses which are below € 10,000 and above € 5,000,000. After deletions the database consists of 10082 values. Furthermore, a database of the KvK (Chamber of Commerce) is used, which comprises data from all companies that are located in the Rotterdam city region in 2006. From these 43911 companies I have information about the location of each establishment (also subsidiaries) on a six digit postal code, the number of employees and the sector on SBI 5-digit level. At last, I use a database from the CBS (Central Bureau of Statistics) which contain information on neighbourhood level on the population density and the cultural composition of the neighbourhood. 39 | The impact of mixed land-use Derived from these three datasets one database has been constructed. This database contains for each house, the transaction price, a number of structural characteristics, a number of variables that indicate the presence of different land uses expressed in number of employees in each sector, a number of accessibility measures and a number of variables that describe some neighbourhood characteristics such as population density and percentage ethnic minorities. One could consider the table in appendix B to view the descriptives of each used variable.. 3.2 Measures of mixed land-use SONG AND KNAAP (2004) present five different measures of mixed land-use. Their unit of analysis are Traffic Analysis Zones (TAZs). A TAZ is a special area which is used for local transportation analysis. They argue that a TAZ is a convenient unit of analysis because the scale of a buffer is subject of debate. However, I think that the buffer is more convenient because the size of each ‘neighbourhood’ for each house is the same and is not subject to arbitrarily defined neighbourhood boundaries. In our analysis I will vary the size of the buffer to find out what the real ‘neighbourhood of interest’ is for each house. Note that I use neighbourhood-data for some mixed-use and control variables, because the data is not available on address-level. For more information about our specific buffer-technique to obtain our final database I refer to appendix A. In the paper of SONG AND KNAAP (2004) mixed land-use is measured at four different ways. First, some measures of accessibility are offered. Since one can question measures of accessibility because it does not really describe aspects of mixed land-use I only add some accessibility measures as control variables. Second, according to GEOGHEGAN ET AL. (1997), the scale of non-residential use can have a significant impact on housing transaction prices. SONG AND KNAAP use the percentage of 5 different uses to measure this scale effect. I think this is not the right way to measure the scale of non-residential use 40 | The impact of mixed land-use because especially when one uses buffers, it does not make clear how much of these uses are present in absolute terms in the surroundings of the house. Therefore I measure for each house the amount of employment in terms of employment in each sector within a certain distance (for example 0.5 kilometres). Our sectoral composition is far more detailed than any other study that aims to measure the benefits and costs of mixed land-use. Third, as presented in the framework in section 2.4 consumers may value the pattern of land-uses, in other words the constellation of the local environment. SONG AND KNAAP use some entropy measure this variation in land uses. An entropy measure is used which measures variety in employment. For example, FRENKEN ET AL. (2007) apply this entropy measure to measure the variety at a two-digit SBI-sector level. Formally, since I have information on five-digit sectors I have to sum up the fivedigit shares, pf, to derive the broad sector shares, Pg: Pg p f S g f (3.1) Where f is five-digit sector who fall under a ‘one-digit’-sector Sg, where g=1,...,G. The entropy at the ‘one-digit’ level is then given by: G g 1 V Pg log 1 P g (3.2) Another way to measure variety or diversity is to use the inverse of the Hirschmann-Herfindahl index or diversity index (DURANTON AND PUGA 2000). Formally: D 1 G (3.3) P g 1 2 g Note that I do not use relative indices such as the relative diversity index (DURANTON AND PUGA 2000) and the Krugman specialisation index (KRUGMAN 1991). The reason for this is that I am interested in absolute 41 | The impact of mixed land-use diversity in land uses and not in diversity compared to the average regional or national structure. Fourth, SONG AND KNAAP use a set of variables to describe the balance between living and working. This is computed by dividing the total number of employees by the population of a neighbourhood. I can measure the number of workers in a buffer. Unfortunately, I do not know how much people are living in a buffer around the house. Therefore, it is assumed that the population density that holds for the neighbourhood, as defined by the CBS, wherein a house is located also holds for the buffer around a certain house.11 Then I can calculate the job-population ratio W for house h as follows: Wh Eh r 2 Rh (3.4) Where h = 1,....,H, E is the total employment in the buffer around house h, r is the radius of the buffer measured in kilometres and R is the population density per km2 of house h in the neighbourhood where the house is located. To summarise, I measure the impact of mixed land-use by looking at the scale of land uses that are in vicinity of a house, the structure of the available land uses that are close by and a ratio that describes the balance between jobs and population. Using these measures I am able to trace to a large extent the impact of mixed land-uses on property values of houses. Especially when the buffer is not too large, this assumption is reasonable because population density oftentimes changes gradually between neighbourhoods that share borders. 11 42 | The impact of mixed land-use 3.3 Regional context: the city region Rotterdam As already mentioned I use data from the city region Rotterdam. This administrative region is located in the west of the Netherlands and hosts the largest and most diversified port in terms of traffic in Europe (DUCRUET ET AL. 2009). Rotterdam is by far the largest city in this city region with 584,060 inhabitants in 2006. The total population of the city region was 1,175,630 and the total number of jobs was 518,251. In figure 4 we see that the city region consists of 16 municipalities. In 2007 the municipalities of Bleiswijk, Bergschenhoek and Berkel en Rodenrijs were aggregated into one municipality Lansingerland. In our analysis I also aggregate these three municipalities into one. Looking at figure 5, we see that the highest population density is found in the city centre of Rotterdam and in the urban areas of Schiedam, Spijkenisse, Vlaardingen and some parts of Capelle a/d IJssel. Although the city region is generally urbanised a large part of the land in the city region is used by agricultural activities. For example, municipalities of Westvoorne, Brielle, Hellevoetsluis and Lansingerland experience a relatively low population density. In the port areas Maasvlakte, Europoort, Botlek and Waalhaven the population density is also low, but the land is quite intensively used by capital intensive (port-related) industrial activities. This is confirmed by figure 6. We see employment is concentrated on places where the population is concentrated: therefore figure 5 and 6 resemble an almost identical spatial pattern. It is somewhat surprising that the employment density in the port areas is also quite low. As already pointed out, there is much capitalintensive industry located in these areas, which explains the low employment density in these areas. Planning policies in the Rotterdam city region are largely in accordance with the compact city-concept which is widely applied in the Netherlands. This concept focuses on the concentration of urban growth in regional 43 | The impact of mixed land-use Figure 4: The city region of Rotterdam Figure 5: Population density at neighbourhood level 44 | The impact of mixed land-use Figure 6: Employment density at neighbourhood level centres, preservation of open space and determining so-called greenbuffers between cities. Indeed, although the city region faces a high population density the region still consists of many towns and open spaces between them (KOOMEN ET AL. 2008). Besides, the development of port industries and other industrial areas is bound to strict planning rules. With respect to the configuration of the local economy I ascertain that there are several examples of what we can characterize as an aim to stimulate mixed land-use. Especially the municipality of Rotterdam is developing special areas where residential and commercial activities are co-located. In the white paper STADSVISIE ROTTERDAM 2030 (2007) we can read the Lloyd quarter and the Wilhelminapier are examples of that mixing of uses in one area: “A particular area in Delfshaven is the Lloyd quarter, a former port area, where a mix of living and working is constituted.” And: 45 | The impact of mixed land-use “The Wilhelminapier [is] a location with a rich history, a skyline and an attractive mix of living, working, culture, hotels, restaurant and other urban amenities […]. This will be the trendy, most ‘glossy’ mixed urban area of Rotterdam.” Although there are numerous examples of actual mixed land-use, there are also a number of areas which are largely monofunctional. For example, the port area and large agricultural areas in Westvoorne, Brielle, Bernisse and Hellevoetsluis are to a large extent monofunctional. Because of the presence of mixed land-use as well as monofunctional land-use areas, the city region of Rotterdam is a suitable region to study the effects of mixed land-use.12 Figure 7: Variety at neighbourhood level Actually, we can compare the impact of having a mixed urban environment with the effects of a more monofunctional urban economy. 12 46 | The impact of mixed land-use In section 3.2 I introduced a number of measures to mix land-use. To get an idea of the structure of the local economy I compute these measures at the CBS-neighbourhood level. In figure 7 the variety within neighbourhoods is computed. We can observe that the variety is the highest in a number of neighbourhoods in the centre and the south of Rotterdam. Also the port areas of Botlek, Rozenburg and Hoogvliet-Noord experience a high variety. A little bit surprising is the high variety of neighbourhoods in highly agricultural areas like Zuidland (municipality of Bernisse), Bergschenhoek and Bleiswijk. When I verify the division of labour in these areas I encounter there is a combination of agricultural activities, activities in the construction sector, wholesale, business services and other services (sector O). Note that this measure does not correct for the size of the region, therefore it is obvious that larger regions are on average more diversified than small regions. Figure 8 resembles pretty much the same pattern as figure 7. We see again a high diversity in Zuidland, Botlek, Overschie and Charlois. Figure 9 offers us the job-population ratio. We see in a large number of areas the job-population ratio is quite high. These areas are in most cases industrial sites, i.e. there are living no people in such areas. For example, in the port areas of Botlek, Europoort and the Maasvlakte there is no residential land use. In the urban neighbourhoods in Rotterdam, Schiedam and Vlaardingen the job-population ratio is relatively low. However, we know that there is both a high job density and a high population density; hence we can expect that the intensity of mixed land-use is relatively high in these neighbourhoods. 47 | The impact of mixed land-use Figure 8: Diversity at neighbourhood level N A Legend IlO data 0.00· UlO . 2.00-400 _4.00 - 6.00 _ &.00 - 8.00 _ ~ 8.00 Figure 9: Job population ratio at neighbourhood level N A Job-population ratio ,'~ _ 6\ . 70'11. _71 -1m11 61 · ~ _ 9\_100'1/, 48 | The impact of mixed land-use Section 4: Model estimation and results T his section focuses on empirical results which verify the impact of mixed land-use. In section 4.1 an econometric model is presented, which I will make operational in the subsequent subsections. In section 4.2 a number of log-linear models is applied in which it is assumed that the effects of mixed land-use are taking place within a buffer of 500m of the house. In section 4.3 I relax this assumption and the size of the buffer is changed. Section 4.4 compares the results of the log-linear models with a more sophisticated functional form of the hedonic price function. Moreover, some alternatives to OLS are addressed. Section 4.5 summarises and discusses the main empirical results. In section 4.6 some shortcomings of the empirical analyses are mentioned. 4.1 The econometric model As discussed in section 2.4, in the hedonic framework of ROSEN (1974) a housing market is assumed which is in equilibrium. This implies that perfectly rational house owners make their utility maximizing decisions given the prices of the houses. The utility of an individual p living in a house can be defined as: u p u ( x, q ) (4.1) Where u is the utility, x are all other goods consumed and q is a vector K of characteristics k of a house (for example, the size of a house is a characteristic: we can expect people with larger houses gain utility from that). Individuals maximise their utility subject to the following budget constraint. Consumers spend their income either on housing or the other goods: y p Ph (qk ) x (4.2) From this we know that the price of a house is a function of different characteristics of a house. To be more precise, when people spend more money on housing, one can expect that the housing quality which is a 49 | The impact of mixed land-use function of the characteristics is higher than when one spends less money on housing. Therefore: Ph f (qk ) (4.3) Note that the marginal willingness to pay for a characteristic can be computed from these equations, namely: yh Ph (qk ) qk qk (4.4) We can subdivide the characteristics in structural characteristics of a house (e.g. size, number of rooms), characteristics of the neighbourhood (e.g. percentage of ethnic minorities, population density), accessibility characteristics (e.g. distance to highway entrance) and the measures of mixed land-use I defined in section 3 (e.g. employment in different sectors, variety in uses). Unfortunately, there is no prescription which functional form of the hedonic price function is appropriate. Oftentimes, a linear or log-linear specification is used because it is easy to interpret the coefficients (FREEMAN 1993; BONTEMPS ET AL. 2008; DE VOR AND DE GROOT 2009): in a linear specification the coefficients are equal to the (constant) marginal prices while in a log-linear specification the coefficients denote (constant) elasticities. However, some studies use a less restrictive functional form because it is argued that the relation between housing values and the related attributes is complex and non-linear (EKELAND ET AL. 2004). For example CHESHIRE AND SHEPPARD (2002) apply Box-Cox transformations to the hedonic price functions in their analysis of the costs and benefits of land use planning. Furthermore, PARMETER ET AL. (2007) proposes a nonparametric estimation of a hedonic price function. Also BONTEMPS ET AL. (2008) use other specifications of the hedonic price function, where the structural characteristics are linearly related to the price while the variables of interest are non-linearly related to the property value. They compare four different specifications, respectively a non-parametric 50 | The impact of mixed land-use model, an additive specification, a single-index specification and a fully parametric model. They found that the variables of interest have a strong non-linear impact on housing values. In my case, I cannot apply the nonparametric or semi-parametric methods of BONTEMPS ET AL., because I have a large number of variables of interest (think of all the sector-variables). Then the so-called ‘curse of multidimensionality’ will arise: the quality of non-parametric estimates will deteriorate quickly when the number of characteristics increases (BONTEMPS ET AL. 2008). Therefore I will start with a well-known log-linear specification of the hedonic price function: ln Ph i qi j ln q j iD (4.5) jN Where α and the β’s are the coefficients to be estimated and ε is the error term. qi, qj are the characteristics. D is the set of indices and dichotomous variables i.13 N is the set of continuous variables j. Equation (4.5) can easily be estimated using Ordinary Least Squares. Later on I will relax this functional form by applying Box-Cox transformations. In the first models it is assumed that the impact of mixed land-use is restricted to a buffer of 500 meter around each house. I expect that the effects of mixed land-use are largely localised. In a number of studies the results indicate that effects of the environment of a house on the value of a house have oftentimes a localised nature. For example, DE VOR AND DE GROOT (2009) found that the negative effects of industrial sites on house prices were largely localised. Also ROUWENDAL AND VAN DER STRAATEN (2008) found that the effects of open space are localised (within 500m of each house). In addition, PALMQUIST (1992) and KIEL AND ZABEL (2001) find that a number of environmental effects are have a localised impact on housing values. In section 4.3 I will change the size of the buffer to check whether this assumption is appropriate. 13 To check which variables are transformed logarithmically, I refer to appendix B. 51 | The impact of mixed land-use 4.2 Empirical results of log-linear models using OLS Four models are carried out in this subsection. In all models robust standard errors are used, which allow for heteroskedasticity and/or autocorrelated error terms. Furthermore, I check if multicollinearity exists. Higher correlation between the explanatory variables influences the standard errors of the coefficients. Moreover, multicollinearity cause difficulties in assessing the individual importance of a predictor, it limits the size of the R2 and it causes unstable predictor equations (FIELD 2005). An example of correlation between predictors can be that population density is causing variety of uses because when the density of people is higher it can be profitable for companies to locate nearby concentrations of people which automatically imply a more diverse regional economy. A way to check for this multicollinearity is to check the variation inflation factors. It is argued that when these values exceed 10 there is reason for concern (MYERS 1990). But also lower values are proposed (BOWERMAN AND O’CONNELL 1990; MENARD 1995; KUTNER ET AL. (2004); FIELD 2005). In the models I executed the VIF values never exceed 5, therefore I expect that there is no severe multicollinearity in my models. The results of the four models which I executed are presented in table 3. The first model contains the variety measure (equation 3.2), the second the diversity measure (equation 3.3) and in the third model I add the variable which contains the job-population ratio (equation 3.4).14 In the fourth model I split up the wholesale and retail sector for reasons I will discuss later. We see that in all models the coefficients of the control variables are almost the same. The structural variables have in general plausible signs. When a house is larger in terms of lot size or volume the Obviously we cannot include all three measures in one model, since the variables all measure the impact of a mixed environment (cf. section 2.4). Including these variables in one model would lead to multicollinearity. 14 MODEL (3) - OLS 9.12044 (0.3045) MODEL (4) - OLS 9.1808 (0.3094) 0.0097 (0.0014) 0.7449 (0.0557) -0.0068 (0.0149) 0.0818 (0.0182) 0.3751 (0.0354) 0.0157 (0.0081) 0.0498 (0.0148) 0.0181 (0.0067) -0.2503 (0.0435) 0.0706 (0.0080) -0.1066 (0.0103) 0.1155 (0.0408) -0.0041 (0.0074) 0.0096 (0.0087) 0.0381 (0.0074) 0.1850 (0.0096) 0.2419 (0.0140) 0.0096 (0.0014) 0.7454 (0.0558) -0.0061 (0.0150) 0.0828 (0.0182) 0.3767 (0.0354) 0.0157 (0.0081) 0.0498 (0.0148) 0.0181 (0.0068) -0.2494 (0.0436) 0.0701 (0.0080) -0.1070 (0.0103) 0.1127 (0.0406) -0.0020 (0.0074) 0.0117 (0.0088) 0.0411 (0.0075) 0.1874 (0.0097) 0.2436 (0.0140) 0.0098 (0.0014) 0.7447 (0.0558) -0.0072 (0.0149) 0.0812 (0.0182) 0.3755 (0.0354) 0.0157 (0.0081) 0.0502 (0.0148) 0.0183 (0.0068) -0.3205 (0.0441) -0.0711 (0.0080) -0.1065 (0.0103) 0.1147 (0.0409) -0.0047 (0.0075) 0.0096 (0.0087) 0.0379 (0.0074) 0.1850 (0.0096) 0.2414 (0.0140) -0.0766 (0.0048) 0.0043 (0.0036) -0.0167 (0.0030) -0.0768 (0.0049) 0.0044 (0.0036) -0.0181 (0.0030) -0.0769 (0.0048) 0.0055 (0.0036) -0.0178 (0.0030) -0.0503 (0.0037) -0.0049 (0.0002) -0.0517 (0.0042) -0.0049 (0.0002) -0.0494 (0.0037) -0.0049 (0.0002) 52 | The impact of mixed land-use MODEL (2) - OLS 9.1232 (0.3011) Table 3: Results of OLS-models VARIABLE MODEL (1) - OLS Constant 9.1092 (0.3010) SRUCTURAL CHARACTERISTICS Lot size 0.0096 (0.0014) Volume 0.7452 (0.0558) Terraced -0.0065 (0.0149) 0.0823 (0.0182) Semi-detached 0.3761 (0.0354) Detached 0.0158 (0.0082) Rooms 0.0498 (0.0148) Garage 0.0181 (0.0068) Garden -0.2502 (0.0435) Maintenance good 0.0701 (0.0080) Maintenance average -0.1069 (0.0104) No central heating 0.1127 (0.0406) Monument -0.0027 (0.0074) Construction year 1961-1970 0.0107 (0.0087) Construction year 1971-1980 0.0398 (0.0074) Construction year 1981-1990 0.1867 (0.0096) Construction year 1991-2000 0.2431 (0.0140) Construction year > 2001 ACCESSIBILITY CHARACTERISTICS -0.0761 (0.0048) Distance to centre Rotterdam 0.0043 (0.0036) Distance to highway ramp -0.0173 (0.0030) Distance to railway station NEIGHBOURHOOD CHARACTERISTICS -0.0505 (0.0037) Population density -0.0049 (0.0002) Percentage ethnic minorities -0.0067 (0.0017) 0.0020 (0.0017) -0.0063 (0.0018) -0.0039 (0.0026) -0.0173 (0.0024) -0.0140 (0.0027) 0.0022 (0.0024) 0.0001 (0.0019) 0.0140 (0.0020) 0.0154 (0.0024) -0.0043 (0.0012) -0.0010 (0.0017) -0.0018 (0.0019) 0.0116 (0.0031) -0.0023 (0.0040) 0.0016 (0.0016) -0.0068 (0.0018) -0.0039 (0.0027) -0.0197 (0.0023) -0.0132 (0.0027) 0.0025 (0.0024) -0.0005 (0.0019) 0.0136 (0.0020) 0.0163 (0.0024) -0.0044 (0.0012) -0.0020 (0.0017) 0.0004 (0.0018) 0.0088 (0.0030) -0.0068 (0.0017) 0.0019 (0.0017) -0.0064 (0.0019) -0.0042 (0.0026) -0.0183 (0.0024) -0.0024 (0.0023) -0.0100 (0.0021) 0.0026 (0.0024) -0.0003 (0.0019) 0.0142 (0.0020) 0.0137 (0.0024) -0.0041 (0.0012) -0.0007 (0.0018) -0.0015 (0.0019) 0.0116 (0.0031) 10081 10081 10081 10081 N 0.8077 0.8080 0.8077 0.8080 R2 Root-MSE 0.2135 0.2134 0.2135 0.2134 The robust standard errors are given between parentheses; the bold coefficients are significant on at least a 5% level. 53 | The impact of mixed land-use MIXED LAND-USE CHARACTERISTICS Variety -0.0203 (0.0156) Diversity Job-population ratio A_B_C Agricultural activities 0.0018 (0.0017) -0.0067 (0.0018) D Industry -0.0040 (0.0026) E Production electricity, water -0.0190 (0.0024) F Construction -0.0129 (0.0027) G Wholesale and retail G_1 Wholesale G_2 Retail 0.0024 (0.0024) H Hotel, restaurants and cafés -0.0004 (0.0019) I Transport and communication 0.0136 (0.0020) J Financial services 0.0162 (0.0024) K Business services -0.0045 (0.0012) L Public services -0.0016 (0.0018) M Education -0.0003 (0.0018) N Healthcare 0.0096 (0.0031) O Other services 54 | The impact of mixed land-use price is higher. Furthermore, more privacy (detached vs. apartment), a garage, a garden, a central heating and being a monument contribute also to higher housing values. Unfortunately there are also some implausible signs. The sign of “maintenance good” is negative, meaning that when a house has a good state of maintenance the price will be lower compared to a house that is maintained badly, which is counterintuitive. Looking at the accessibility measures, the results are in line with our expectations. An increase of 1% in the distance to the city centre leads to a ~0.08% decrease in the house price, ceteris paribus. Also living near a railway station leads to a higher value of the house, probably because of positive externalities, such as shorter commuting times. Living nearby a highway ramp has not a significant effect, probably because the negative effects of living nearby highways (noise and air pollution) and the positive effects (better accessibility) are balanced. The neighbourhood variables are both very significant. A higher population density leads to lower house prices. Also a higher percentage of ethnic minorities leads to lower house prices since concentrations of ethnic minorities are oftentimes associated with higher crime rates and other negative effects. However, compared to the study of WADDELL ET AL. (1993) this effect is quite small: 1% increase in the share of ethnic minorities will only lead to a 0.005% decrease in housing prices while WADDELL ET AL. found differences in house prices of 20% when the share of Hispanics and blacks in neighbourhoods was substantial. I now turn to the variables in which I am particularly interested. The measure of how people value the mixed environment is only significant in model (2), where I use the diversity index. The variety index and the jobpopulation ratio do not influence housing prices significantly. The main similarity between these measures is the sign of the coefficients. In all three cases this sign is negative, indicating that people do not value a mixed local environment positively. 55 | The impact of mixed land-use When I consider the effects of individual uses I see that not all land-uses are having a significant effect. A higher employment in the agricultural sector, production of electricity and water, hotel and catering sector, transport and communication sector, educational sector and healthcare sector will not lead to significantly higher or lower housing prices. There can be multiple reasons for this insignificance. First, the size of the sector can be exceptionally small. There are for example very few companies in the sector ‘production of electricity and water’ that are located in the city region of Rotterdam. Second, the positive externalities and the negative externalities can be balanced. For example, living near a school yields on the one hand positive effects (e.g. less travel time) but on the other hand it also yields negative effects (e.g. yelling children, more crime). Third, there are no clear effects of land-uses on the environment. One can imagine that having some types of employment in vicinity does not yield any benefits or costs. As expected, there are also a number of land-uses that significantly influence property values. When the employment in the industrial sector increases with 1% in the vicinity of a house, the housing price decreases with 0.0065%. For the construction sector and wholesale and retail sector the effect is more negative. The negative coefficient of the wholesale and retail sector is somewhat surprising: I expected people like to have shops in vicinity. However, wholesale-companies are oftentimes located in unattractive buildings on even more unattractive industrial sites. Therefore it might be that the positive effects of retail-companies are exceeded by negative effects of wholesale-companies. I test this hypothesis in model (4) by decomposing the wholesale and retail sector in two subsectors. The results do not support the aforementioned proposition. We see retail has the highest negative impact on housing values and not wholesale. Furthermore, we see that public services in vicinity yield a small negative effect on property values. Having more employment in the business, financial and other services sector will lead to higher housing prices. 56 | The impact of mixed land-use To get a better idea of the magnitude of the effects of different uses on property values we compute the marginal willingness to pay for a one unit increase in employment for the land uses which have a significant effect on housing values. The interpretation of this willingness to pay for an additional employee in a sector is that an employee reflects the degree of presence of a particular land-use in vicinity. In a very capital-intensive sector we can expect that one employee has a larger effect than an employee in a sector which is very labour-intensive.15 We compute the marginal willingness to pay as follows: Ph (qi , q j ) j e q j i qi j q j iD jN qj j Ph qj (4.7) We can see the marginal willingness to pay or accept is dependent on the price and type of house. Therefore we calculate the marginal WTP for the sample averages of both the transaction price and the sectoral employment information. It is found that the average price of a house is € 217738. I use the coefficients that are presented in table 3 and in table 4 we can check the results. We see the marginal willingness to pay is the highest for an additional employee in the financial services sector, followed by someone who works in de business service sector. The willingness to pay an additional employee is the most negative in the construction sector followed by someone who works in de industrial sector. 15 To be more explicit, consider the industrial sector which is a very capitalintensive sector where only a few employees could represent a large industrial firm. Therefore, this few employees are accountable for all the effects industrial land use has on property values (for example, air pollution). On the other hand, the retail sector is very labour-intensive. Many employees are responsible for the probably smaller effect of retail on housing values. 57 | The impact of mixed land-use Because of the choice for a logarithmic functional form there is a strong log-linear relationship between the willingness to pay and the employment in a sector. We see in figure 10 an example of the relationship between employment in the business services sector and the willingness to pay an additional employee in the business services sector. We see that when there are already many services located the willingness to pay for additional employee is much lower than when there are no employees in Table 4: Marginal willingness to pay for a one unit increase in employment SECTOR MODEL (1) D Industry F Construction G Wholesale and retail J Financial services K Business services L Public services O Other services MODEL (2) - €30.50 - €72.16 - €9.81 €28.84 €11.36 - €7.69 €23.63 - €28.54 - €65.55 - €10.64 €29.82 €10.76 - €7.32 €28.41 MODEL (3) - €31.13 - €74.63 - €10.02 €28.96 €11.41 - €7.51 €21.55 Figure 10: Relationship between willingness to accept and employment in the industrial sector Marginal Willingness to Pay in € 100000 10000 1000 100 10 1 1 10 100 1000 Employment in sector K Business Services 10000 58 | The impact of mixed land-use this sector located in vicinity of the house. Consequently, it would be reasonable to cluster employment which affects house prices negatively, since the extra employee in such a sector will have a relatively small effect on the house price. The sectors that influence housing values positively should be mixed with residential use since the additional employee has a larger effect when there are relatively less employees of these sectors in vicinity. I realise that this result is partly caused by the adaption of a loglinear functional form. In section 4.4 we will verify if this choice is appropriate. We can check if sectors that positively affect housing values are less concentrated. Sectors which are more concentrated are probably also more mixed with residential use. On the other hand we can check if sectors which cause negative externalities are clustered. We can use the Ginicoefficient to measure concentration of a sector (FOWLER 2006). Formally: N Gs 0.5 X s ,n Yn n 1 (4.8) Where G is the Gini-coefficient of sector s, where s=1,...,13. X is the share of employment in sector s in six-digit postal code n in the total employment in sector s. n=1,...,N. Y is the share of employment in a postal code in the total employment in the city region. The Gini ranges from 0 to 1, where 0 represents an equally distributed system and 1 represents a complete concentration of a sector in one postal code (FOWLER 2006). In table 5 we can see the results for each sector. However, there is no correlation between the concentration of a sector and the (sign of the) willingness to pay coefficient.16 16 When we delete the outlier “sector E production of electricity and water”, there is absence of any significant correlation, also if we correct for the size for a sector in terms of employment (smaller sectors are probably less concentrated than larger sectors). 59 | The impact of mixed land-use Table 5: Concentration per sector SECTOR GINICOEFFICIENT 0.910 EFFECT ON HOUSE PRICES +/– D Industry 0.780 – E Electricity & water 0.978 +/– F Construction 0.773 – G Wholesale & retail 0.616 – H Hotels, restaurants, cafés 0.793 +/– I Transport & communication 0.737 – J Financial services 0.843 + K Business services 0.590 + L Public services 0.898 – M Education 0.864 +/– N Health care 0.764 – O Environmental and other services 0.804 + A_B_C Agricultural 4.3 Changing the buffer size Until now it is assumed that the effects of mixed land-use were largely localised. Now I will vary the size of the buffer. I choose only to apply model (2) for these different buffer sizes and compare the coefficients and WTP for different buffer sizes, because model (2) had the best fit (R2) and was the only model where the mixed land-use variable (the diversity measure) was significant. Moreover, I think diversity describes the diversity of uses in the best way.17 I range the buffer sizes from 250m to 2500m with intervals of 250m. In table 6 the results of four of the models with different buffer sizes, respectively 250m, 1000m, 1750m and 2500m, I made some figures of both the indices (variety and diversity measure). The spread of the estimations of the diversity measure was better than the variety measure. Therefore, the diversity measure describes in a better way the differences in diversity in the local economy between buffers than the variety measure. 17 60 | The impact of mixed land-use are presented. Since I am particularly interested in the variables that measure mixed land-use, only the coefficients of these variables are presented. Full results of all variables and all buffer sizes are available upon request. Looking at table 6, we do not observe very clear patterns. Also when considering large buffers, nearly all land-uses significantly influence housing values. Probably, because in large buffers also the employment in vicinity is taken into account what can explain the significance of the coefficients. We see nearly all land-uses are not significant in all ten models. An exception is the construction sector which has always a significant negative impact on housing prices ranging from 0.014% to 0.033% when the employment in this sector vicinity of a house increases with 1%. Another exception is the financial services sector. This sector influences property values positively, ranging from a 0.009% to 0.033% increase in housing prices when the employment increases with 1%. Other sectors that show significant results in at least eight out of ten models are the electricity and water sector, the wholesale and retail sector, the hotel, restaurants and cafés sector, the public services sector, the educational sector and finally, the environmental and other services sector. We again compute the willingness to pay for different characteristics to reveal the magnitude of the different land-uses. The willingness to pay or accept is computed for the sample averages of the land-use variables (table 7). When the buffer size increases the sample averages of different land-uses generally increases, since there is more employment in vicinity of the house. Therefore, we expected that in general the willingness to pay for an additional employee will converge to zero. This is confirmed by the estimates which show a convergence of the WTP-coefficients to zero, when the buffer size increases. MODEL (6) – OLS Buffer 1000m MODEL (7) – OLS Buffer 1250m MODEL (8) – OLS Buffer 1500m Diversity A_B_C Agricultural activities D Industry E Production electricity, water F Construction G Wholesale and retail H Hotel, restaurants and cafés I Transport and communication J Financial services K Business services L Public services M Education N Healthcare O Other services -0.0061 (0.0017) -0.0075 (0.0025) -0.0016 (0.0021) -0.0053 (0.0046) -0.0162 (0.0019) -0.0100 (0.0020) -0.0005 (0.0028) 0.0016 (0.0021) 0.0108 (0.0023) 0.0162 (0.0019) -0.0016 (0.0016) -0.0026 (0.0012) -0.0025 (0.0014) 0.0047 (0.0026) -0.0022 (0.0020) 0.0033 (0.0018) 0.0044 (0.0021) -0.0066 (0.0016) -0.0311 (0.0035) -0.0198 (0.0043) 0.0074 (0.0034) -0.0062 (0.0024) 0.0091 (0.0022) 0.0130 (0.0036) -0.0020 (0.0011) 0.0250 (0.0042) 0.0010 (0.0031) -0.0026 (0.0056) -0.0037 (0.0027) -0.0008 (0.0023) 0.0118 (0.0034) -0.0115 (0.0013) -0.0149 (0.0045) -0.0248 (0.0063) 0.0326 (0.0055) -0.0198 (0.0039) 0.0209 (0.0028) 0.0036 (0.0052) 0.0028 (0.0017) 0.0354 (0.0057) -0.0176 (0.0038) -0.0279 (0.0064) -0.0180 (0.0040) 0.0074 (0.0028) 0.0027 (0.0040) -0.0158 (0.0012) -0.0194 (0.0061) -0.0110 (0.0108) 0.0321 (0.0075) 0.0033 (0.0050) 0.0334 (0.0036) -0.0179 (0.0091) 0.0111 (0.0025) 0.0698 (0.0076) -0.0561 (0.0055) -0.0543 (0.0087) N 10081 10081 10081 10081 R2 0.8072 0.8085 0.8106 0.8132 0.2138 0.2131 0.212 0.2105 Root-MSE The robust standard errors are given between parentheses; the bold coefficients are significant on at least a 5% level. 61 | The impact of mixed land-use MODEL (5) – OLS Buffer 250m Table 6: Results log-linear OLS with different buffer sizes VARIABLE 500m 750m 1000m 1250m 1500m 1750m 2000m 2250m 2500m A_B_C Agricultural -€ 515 € 19 € 17 €8 €4 €4 -€ 1 €1 €6 €3 D Industry €1 €2 €2 -€ 34 -€ 28 -€ 2 €4 €3 €3 €0 -€ 33 -€ 16 E Electricity & water -€ 936 -€ 136 -€ 101 -€ 53 -€ 37 -€ 25 -€ 19 -€ 16 -€ 278 -€ 65 -€ 36 -€ 11 -€ 3 F Construction -€ 25 -€ 6 -€ 4 -€ 5 -€ 5 -€ 30 -€ 11 -€ 1 €0 -€ 7 G Wholesale & retail -€ 4 -€ 1 -€ 2 -€ 2 -€ 1 -€ 6 €7 € 13 €5 € 10 H Hotels, restaurants €6 € 14 €9 €7 €6 -€ 3 €0 €0 € 12 €0 -€ 4 -€ 3 I Transport -€ 3 -€ 3 -€ 2 € 132 € 30 €8 €4 €3 €5 J Financial services €4 €4 €3 €3 €0 €0 €0 €0 €0 € 47 € 10 €4 -€ 1 K Business services €2 -€ 13 -€ 1 -€ 1 €1 €1 €0 -€ 7 -€ 3 €1 L Public services -€ 1 -€ 16 -€ 1 €4 €6 €5 €5 €5 €7 €5 M Education € 10 -€ 7 €0 €0 €0 -€ 1 -€ 1 -€ 1 -€ 1 -€ 2 -€ 2 N Health care € 29 € 16 -€ 8 € 46 -€ 2 -€ 6 -€ 9 -€ 5 -€ 7 -€ 7 O Other services The robust standard errors are given between parentheses; the bold coefficients are significant on at least a 5% level. 62 | The impact of mixed land-use 250m Table 7: The willingness to pay for different characteristics BUFFER SIZE 63 | The impact of mixed land-use The willingness to pay for a mixed-environment is also investigated. In table 6 we see that the coefficient of the diversity-measure is negative in all models. Since we do not transform the diversity measure logarithmically, the willingness to pay is constant for all values of the diversity variable. Figure 11 presents the willingness to accept a one unit increase in the diversity index. The coefficients of diversity are not significant on a 5% level in the models where the buffer size is 1000m, 1250m, 1500m and 1750m. Until 750m people value a mixed local environment negatively, while when the buffer is larger, the coefficients become insignificant. In a buffer larger than 2000m the willingness to accept increases quickly. This figure might indicate that the very local neighbourhood is approximately 750m: people do significantly dislike a mixed local environment which is the area where people walk, live and participate in street life. The area of buffers with a radius larger then 2000m is approximately as large as urban districts (for example, Delfshaven, Rotterdam-Noord are urban districts). On this geographical level people again dislike a diversified local economy. The main message is that diversity is generally not appreciated, which is in contradiction with results from SONG AND KNAAP (2003, 2004) who found a positive sign for the index which captures the diversity of land-uses. Figure 11: The willingness to pay for one unit of diversity Willingness to Pay for Diversity in € 1000 0 -1000 250 500 750 1000 1250 1500 1750 2000 2250 2500 -2000 -3000 -4000 -5000 Buffer size 64 | The impact of mixed land-use 4.4 Other specifications As already discussed in section 4.1 the functional form of the hedonic price function is arbitrarily chosen. Therefore alternatives of this specification are discussed. In the first subsection linear and quadratic specifications are discussed. However, for several reasons, OLS may lead to biased, inconsistent and/or inefficient estimates. In subsections 4.4.2 and 4.4.3 some of these issues are addressed. In the last subsection, by applying Box-Cox transformations, a less restrictive functional form is chosen. 4.4.1 Linear and quadratic specifications Instead of the log-linear functional form one can also apply a linear specification (VISSER AND VAN DAM 2006). However, executing a linear specification and also a quadratic specification for our data is not appropriate since one will face severe multicollinearity; it appears that the VIF-values are substantially higher than 10. There is in particular multicollinearity between the land-use variables, which makes the use of a linear and quadratic specification inappropriate. 4.4.2 Endogeneity of the regressors OLS-estimates which are used to estimate the linear and log-linear can be biased and inconsistent for various reasons. SONG AND KNAAP (2004) argue that there is an identification problem with the variables that measure the scale of mixed land-use, in our case the employment of different sectors within a certain proximity to each house. Ordinary Least Squares-methods are not able to include the possibility that land-uses are endogenously determined. In other words, the assumption of the zero conditional mean may be violated: E[ | qi ; q j ] 0 (4.6) In our case, the identification problem will arise when the employment of different sectors is (also) determined by the prices of houses and are consequently correlated with the error term. 65 | The impact of mixed land-use However, in the Netherlands the planning policies are very strict. For example, with respect to hotels, restaurants and cafés-sector we can read in a white paper the following: “Most municipalities execute a policy wherein hotels, restaurants and cafés are concentrated in central areas. [...] [N]ew hotels, restaurants and cafés are not permitted outside these areas.” (KVK, 2009) For other uses than the wholesale and retail sector such planning policies are even stricter. Consequently, companies cannot liberally choose where to locate, but this is to a large extent determined by the government (and therefore not by housing values). Thus, because of strict planning policies, this identification problem will not arise in our case and no instrumental variables are needed to overcome this potential endogeneity. An exception is the wholesale and retail sector: the policies are less strict and we saw in table 5 that the concentration of this sector is almost the lowest which confirms more liberal locational policies. Therefore we adopt an instrumental variables approach wherein the employment in the wholesale & retail sector is treated as endogenous. I seek instruments which are correlated with the employment in wholesale & retail sector but uncorrelated with the error term. In this respect, SONG AND KNAAP (2004) propose two instruments: first, the parcel’s distance to central general commercial use. We also calculate for each buffer the average distance from each 6-digit postal code where employment of the wholesale & retail sector is located to major shopping-centres.18 In the study of SONG AND KNAAP a second instrument is used which denote the perimeter of a parcel which is adjacent to a main road. This second instrument is not computable for our data. Therefore the only instrument we use is the distance to central commercial use. 18 I collect data about shopping-centres from www.allewinkelcentra.nl. MODEL (9) – IV-REGRESSION 9.5432 (0.3329) 0.0097 (0.0014) 0.7449 (0.0557) -0.0068 (0.0149) 0.0818 (0.0182) 0.3751 (0.0354) 0.0157 (0.0081) 0.0498 (0.0148) 0.0181 (0.0067) -0.2503 (0.0435) 0.0706 (0.0080) -0.1066 (0.0103) 0.1155 (0.0408) -0.0041 (0.0074) 0.0096 (0.0087) 0.0381 (0.0074) 0.1850 (0.0096) 0.2419 (0.0140) 0.0086 (0.0017) 0.758 (0.0584) -0.0118 (0.0166) 0.0725 (0.0202) 0.4034 (0.0395) 0.0144 (0.0087) 0.085 (0.0194) 0.0098 (0.0085) -0.3384 (0.0436) -0.0834 (0.0105) -0.1107 (0.0121) 0.1992 (0.0550) -0.0163 (0.0094) 0.0023 (0.0106) 0.0609 (0.0099) 0.1892 (0.0114) 0.2344 (0.0176) -0.0766 (0.0048) 0.0043 (0.0036) -0.0167 (0.0030) -0.1537 (0.0120) 0.0197 (0.0051) -0.0208 (0.0038) -0.0503 (0.0037) -0.0049 (0.0002) -0.0502 (0.0048) -0.0046 (0.0002) 66 | The impact of mixed land-use MODEL (2) – OLS 9.1232 (0.3011) Table 8: IV-estimates VARIABLE Constant STRUCTURAL CHARACTERISTICS Lot size Volume Terraced Semi-detached Detached Rooms Garage Garden Maintenance good Maintenance average No central heating Monument Construction year 1961-1970 Construction year 1971-1980 Construction year 1981-1990 Construction year 1991-2000 Construction year > 2001 ACCESSIBILITY CHARACTERISTICS Distance to centre Rotterdam Distance to highway ramp Distance to railway station NEIGBOURHOOD CHARACTERISTICS Population density Percentage ethnic minorities N R2 Wald-χ2 Root-MSE -0.0067 (0.0017) 0.0020 (0.0017) -0.0063 (0.0018) -0.0039 (0.0026) -0.0173 (0.0024) -0.0140 (0.0027) 0.0022 (0.0024) 0.0001 (0.0019) 0.0140 (0.0020) 0.0154 (0.0024) -0.0043 (0.0012) -0.0010 (0.0017) -0.0018 (0.0019) 0.0116 (0.0031) 0.0043 (0.0026) -0.0172 (0.0033) -0.0131 (0.0024) -0.0044 (0.0034) -0.0536 (0.0057) 0.2037 (0.0283) -0.0454 (0.0066) -0.0257 (0.0042) 0.0070 (0.0027) -0.0257 (0.0060) 0.0020 (0.0017) -0.0155 (0.0031) -0.0135 (0.0030) -0.0578 (0.010) 10081 0.8080 0.2134 10081 0.6801 20155.9 0.2749 The robust standard errors are given between parentheses; the bold coefficients are significant on at least a 5% level. 67 | The impact of mixed land-use MIXED LAND-USE CHARACTERISTICS Diversity A_B_C Agricultural activities D Industry E Production electricity, water F Construction G Wholesale and retail H Hotel, restaurants and cafés I Transport and communication J Financial services K Business services L Public services M Education N Healthcare O Other services 68 | The impact of mixed land-use To estimate our new model which contains the endogenous regressor, we use a two stage least squares approach. In the first stage, the employment in the wholesale and retail sector is a function of all the characteristics and the instrument. We test for instrument relevance and it appears that the average distance to general commercial use is a strong instrument.19 In the second stage the price of a house is a function of its characteristics and the predicted value of wholesale and retail employment. In table 8 we can see the results. A Durbin-Wu-Hausman test is done to verify if the instrumented regressor is endogenous. The χ2-value of this test is 101.13 which is enough evidence to assume endogeneity of the employment in the wholesale and retail sector. Looking at the coefficients we see that the coefficients of the structural characteristics, accessibility measures and neighbourhood features of the OLS and IV estimates are very similar. But when one concentrates on the variables which measure the effects of mixed land-use, considerable differences are observable. First, the coefficient of wholesale and retail is positive now and relatively large compared to the other mixed land-use coefficients: a 1% increase in employment of this sector in vicinity of the house leads to a 0.2% increase in housing values. Second, we see diversity no longer significantly affects property values. Furthermore, the sign of the hotels and restaurants, the transport and communication sector, business services sector and other services sector is changed. In table 9 the willingness to pay is computed. Again, there are substantial differences. One is now on average willing to pay € 154 for a one unit increase in the employment of wholesale and retail in vicinity. The high negative willingness to pay for hotels, restaurants and cafés is also somewhat surprising. A common rule of thumb is that the F-test value must be larger than 10. In our case the F-test value is 119.59. 19 69 | The impact of mixed land-use Table 9: Marginal willingness to pay for a one unit increase in employment SECTOR MODEL (9) - IV MODEL (2) – OLS A_B_C Agricultural -€ 176.12 D Industry -€ 59.46 E Electricity & water -€ 159.59 F Construction -€ 202.98 G Wholesale & retail € 154.51 H Hotels, restaurants and cafés -€ 141.36 I Transport & communication -€ 57.46 J Financial services € 14.81 K Business services -€ 18.01 L Public services € 3.35 M Education -€ 23.03 N Health care -€ 9.34 O Environmental and other services -€ 141.73 The bold coefficients are significant on at least a 5% level. € 21.01 - € 28.54 - € 142.26 - € 65.55 - € 10.64 € 6.99 € 0.22 € 29.82 € 10.76 - € 7.32 - €1.53 - € 1.23 € 28.41 For three reasons we have to take these results and computations with caution. First, one could question the validity of the instrument that is chosen. It may be that this instrument is not exogenous. People might willing to pay to live close to shopping centres, although some of this effect is take into account in the representation of employment of shops in vicinity. When this instrument is not exogenous, the results are biased and inconsistent. Second, one could question if the other land-uses are strictly exogenous. In table 5 the concentration of sectors such as business services and hotels, restaurants and cafés is also relatively low. This may suggest that planning policies are not that strict in reality. Third, according to HECKMAN (1997) it is assumed that the treatment of the instrument is the same for every house owner, which is a strong behavioural assumption. When the effect of the treatment differs over the individuals, the instrumental variables approach will breakdown. Therefore, more research is needed to verify the magnitude of different land-uses on housing values. 4.4.3 Spatial Autocorrelation ANSELIN (1988) argues that spatial data is characterised by spatial dependencies and spatial heterogeneity. Especially when data is spatially 70 | The impact of mixed land-use autocorrelated, using OLS will lead to biased and inefficient estimates. To overcome these problems one can estimate a so-called spatial lag model or a spatial error model. In the case of the spatial lag model, the dependent variable is amongst other things dependent on the values of the dependent variables in vicinity. For example, the price of a house is dependent on prices of houses in close proximity. In the spatial error model it is assumed that the error terms are spatially correlated. However, I renounce from estimating these models for two reasons:20 First, there is oftentimes a qualitatively and quantitatively small difference between the estimates of hedonic models which corrects for spatial autocorrelation and estimates which do not correct for spatial autocorrelation (LEGGET AND BOCKSTAEL 2000; IHLANFELDT AND TAYLOR 2004; DEATON AND HOEHN 2004; ROUWENDAL AND VAN DER STRAATEN 2008; NEUPANE AND GUSTAVSON 2008). Second, because the large number of observations computational problems arise. For example, to apply a spatial lag model the computation of a so-called weight-matrix is required. This matrix has the size of n rows and n columns, where n is the number of observations. I do not have software that is able to do such computations (c.f. DE VOR AND DE GROOT 2009). 4.4.4 Box-Cox Transformations In literature, Box-Cox transformations are oftentimes applied to hedonic price functions. For example CHESHIRE AND SHEPPARD (1995, 1998, 2002) apply Box-Cox transformations. In (log-)linear regression models it is assumed that the observations y1, y2, ..., yn are independently normally distributed and that the dependent variable is linearly related to the independent variables (BOX AND COX 1964). The Box-Cox hedonic price function allows for different marginal prices of characteristics and can overcome the identification problem as described by BROWN AND ROSEN (1982). According to CROPPER ET AL. (1988), Box-Cox estimates produce the DE VOR AND DE GROOT (2009) relinquish also from estimating these spatial models because of the same reasons. 20 71 | The impact of mixed land-use lowest mean percentage errors compared to log-linear and linear specification, when utility functions and observed attributes were known. By applying some power transformations to the dependent and independent variables the aforementioned assumptions of normality and the linear relationship are appropriate. With help of maximum likelihood methods the coefficients and transformation variables are estimated. I specify the Box-Cox hedonic price function as follows: q j 1 Ph 1 i qi j iD jN (4.9) Where α, β, φ, λ are the parameters to be estimated. When φ, λ are close to 1, a linear specification is appropriate. When φ, λ are close to 0, a loglinear specification is suitable. In table 10 the results of a Box-Cox hedonic price model for a buffer of 500 meter are presented. The size and sign of the coefficients of the untransformed variables are largely in line with the coefficients of the loglinear specification. Also the signs of the transformed variables are the same as in the log-linear case. Looking at the transformation coefficient, we notice that the transformation coefficient of the dependent variable φ is very close to zero, which makes a logarithmic transformation of the transaction price a convenient choice. The transformation coefficient of the continuous independent variables λ is in between 1 and 0, so both a logarithmic transformation and a linear specification are not appropriate. MODEL (10) – BOX-COX 12.0533 (…) 0.0097 (0.0014) 0.7449 (0.0557) -0.0068 (0.0149) 0.0818 (0.0182) 0.3751 (0.0354) 0.0157 (0.0081) 0.0498 (0.0148) 0.0181 (0.0067) -0.2503 (0.0435) 0.0706 (0.0080) -0.1066 (0.0103) 0.1155 (0.0408) -0.0041 (0.0074) 0.0096 (0.0087) 0.0381 (0.0074) 0.1850 (0.0096) 0.2419 (0.0140) 0.0038* (82.44) 0.1546* (5243.22) -0.0125 (1.38) 0.0856 (48.78) 0.3754 (343.02) 0.0049 (2.35) 0.0324 (5.87) 0.0282 (12.82) -0.4000 (109.95) -0.0805 (80.91) -0.1429 (193.20) 0.1044 (6.13) -0.0088 (0.90) 0.0229 (5.65) 0.0589 (41.78) 0.2402 (676.56) 0.3093 (563.19) -0.0766 (0.0048) 0.0043 (0.0036) -0.0167 (0.0030) -0.0045* (156.07) 0.0006* (2.19) -0.0023* (43.24) -0.0503 (0.0037) -0.0049 (0.0002) -0.0055* (324.47) -0.0558* (487.68) 72 | The impact of mixed land-use MODEL (2) – OLS 9.1232 (0.3011) Table 11: Results of Box-Cox specification compared to log-linear specification VARIABLE Constant STRUCTURAL CHARACTERISTICS Lot size Volume Terraced Semi-detached Detached Rooms Garage Garden Maintenance good Maintenance average No central heating Monument Construction year 1961-1970 Construction year 1971-1980 Construction year 1981-1990 Construction year 1991-2000 Construction year > 2001 ACCESSIBILITY CHARACTERISTICS Distance to centre Rotterdam Distance to highway ramp Distance to railway station NEIGBOURHOOD CHARACTERISTICS Population density Percentage ethnic minorities -0.0067 (0.0017) 0.0020 (0.0017) -0.0063 (0.0018) -0.0039 (0.0026) -0.0173 (0.0024) -0.0140 (0.0027) 0.0022 (0.0024) 0.0001 (0.0019) 0.0140 (0.0020) 0.0154 (0.0024) -0.0043 (0.0012) -0.0010 (0.0017) -0.0018 (0.0019) 0.0116 (0.0031) -0.0245* (21.30) 0.0005* (0.37) -0.0022* (9.13) -0.0022* (4.50) -0.0042* (26.29) -0.0029* (19.18) 0.0020* (3.76) 0.0003* (0.32) 0.0039* (30.04) 0.0023* (13.77) -0.0008* (3.91) 0.0012* (3.10) -0.0016* (11.17) 0.0044* (15.61) φ λ - 0.0203 (0.0147) 0.3284 (0.0092) N R2 10081 - 10081 -121064 The chi2-values (coefficients Box-Cox) or standard errors (OLS, transformation coefficients) are between parentheses; the bold coefficients are significant on at least a 5% level. The transformed variables are indicated with an asterisk. 73 | The impact of mixed land-use MIXED LAND-USE CHARACTERISTICS Diversity A_B_C Agricultural activities D Industry E Production electricity, water F Construction G Wholesale and retail H Hotel, restaurants and cafés I Transport and communication J Financial services K Business services L Public services M Education N Healthcare O Other services 74 | The impact of mixed land-use The interpretability of the Box-Cox coefficients is somewhat difficult. Therefore we have to calculate the willingness to pay or accept for the different variables. From (4.8) we can compute the marginal willingness to pay. The price of a house is determined as follows: q 1 Ph i qi j 1 iD jN j 1 (4.10) From this we can take the derivative to characteristic qj to obtain the marginal willingness to pay: q 1 Ph 1 i qi j 1 q j iD jN j 1 1 j q j 1 Simplifying the equation above leads to the following formula of the marginal price of characteristic qj: Ph Ph1 j q j 1 q j (4.12) In table 11 we can observe that the magnitude of the willingness to pay coefficients is in general the same for both models although there are some noticeable differences. Especially the marginal willingness to pay an additional employee in the production of electricity and water sector and the construction differ a lot. 75 | The impact of mixed land-use Table 11: Marginal willingness to pay for a one unit increase in employment SECTOR MODEL (10) - BOX-COX MODEL (2) – OLS A_B_C Agricultural €10.11 D Industry -€27.51 E Electricity & water -€113.51 F Construction -€47.26 G Wholesale & retail -€11.00 H Hotels, restaurants and cafés €19.86 I Transport & communication €2.59 J Financial services €29.70 K Business services €8.39 L Public services -€5.48 M Education €6.93 N Health care -€5.56 O Environmental and other services €36.64 The bold coefficients are significant on at least a 5% level. € 21.01 - € 28.54 - € 142.26 - € 65.55 - € 10.64 € 6.99 € 0.22 € 29.82 € 10.76 - € 7.32 - €1.53 - € 1.23 € 28.41 We again look at the relationship between the willingness to pay and the employment in the business sector in vicinity of the house. We fit a trendline through the observations of both the log-linear specification model (2), and the Box-Cox specification which we applied in model (9). The R2’s of the trendlines are respectively 0.913 and 0.838 which is convenient. We see in figure 12 that the trendline of the Box-Cox specification is somewhat flatter. The reason for this is that the transformation variable of the Box-Cox specification is not zero (as in the log-linear case) but 0.33. From this section we can conclude that the use of a Box-Cox specification is more appropriate than the use of a log-linear specification since it is less restrictive and it allows for more flexibility. Although the Box-Cox is preferable we saw that the differences in willingness to pay were not that large. Therefore the results of the antecedent subsections are still valid. 76 | The impact of mixed land-use Figure 12: Comparison of the log-linear and Box-Cox specification Marginal Willingness to Pay in € 100000 (2) Log-linear specification 10000 (10) Box-Cox specification 1000 100 10 1 1 10 100 1000 10000 Employment in sector K Business Services 4.5 Discussion of the results Mixed land-use is the backbone of a number of planning concepts like Smart Growth and Multifunctional Land Use. In the previous subsections I examined the impact of mixed land-use in various ways by applying a number of models and by computing the willingness to pay for different aspects of mixed land-use. Although mixed land-use is not always a dominant objective of municipal planning policies, many neighbourhoods in the city region of Rotterdam are experiencing mixed-use to some extent. With respect to this spatial configuration of the local environment SONG AND KNAAP (2003) argue that neither a totally mixed-use nor a monofunctional neighbourhood is preferable: the ideal neighbourhood fall probably on the spectrum of these two extremes. The impact of mixed-use is measured in two different ways which complement each other. First, I measured the effect of the local environment as a whole. The local environment can be diversified in terms of uses or one may experience a high job-population ratio, which also 77 | The impact of mixed land-use describes the intensity of mixing. It is found that only the diversity measure was significant in a large number of models, although all measures had negative signs. Probably because of the high population density, people in the Randstad like privacy and a gentle local environment (JANSEN 2002, KORSTEN 2002). Therefore dynamic multi-use neighbourhoods are generally not appreciated. This result is in line with the study of RODENBURG (2005) who also found a negative effect of a diverse local environment on housing owners. She found that the willingness to accept a mixed urban environment increases in housing values, which is also confirmed by my results. The negative willingness to pay for a diverse neighbourhood differs with respect to buffer size, in other words if the size of the neighbourhood considered is changed, the willingness to pay for a diverse neighbourhood first slightly increases but then decreases substantially. Although a diverse local environment affects housing values negatively, some individual land-uses which are located in vicinity contribute to higher property values. Therefore it can be beneficial for the local economy to locate land uses, which affect property values positively, in vicinity of houses. At least until the positive effects of these land-uses are larger than the negative effects of diversity, mixed land-use will at least not negatively influence housing prices. This outcome is in line with allegations of GRANT (2004) and SONG AND KNAAP (2003), who state that too much mixing could be harmful for the local economy, and consequently, there must be sought to an optimal degree of mixing. When one zooms in on which uses significantly affect property values, I first notice that the definition of ‘a neighbourhood’ is important. Because for each house the relevant neighbourhood is determined by establishing a buffer around each house, the results are not biased by arbitrarily defined neighbourhood boundaries. In general, the willingness to pay or accept converges to zero when the buffer size is bigger. This is in line with our expectations: because there are more employees in vicinity, the willingness to pay will be lower (c.f. equation 4.7). The effects of individual uses are discussed in more detail: 78 | The impact of mixed land-use - - Agricultural use only affects property values in a buffer of 250m negatively. Because of adverse effects (for example, the undesirable smell of fertilizer), living very close to a farm is not preferred. Beyond 250m, these negative effects are compensated: the willingness to pay to live close to agricultural use is insignificant or very close to zero in the remaining models. Besides, the generally small positive effect of agricultural use is in line with the result of ROUWENDAL AND VAN DER STRAATEN (2008) who found also a positive coefficient with respect to agricultural use. Industrial use is negatively affecting housing prices with a buffer size of 1000 meters or smaller. This difference probably explains why a number of studies found different effects of industrial use in proximity. For example, LAFFERTY AND FRECH (1978) found no significant effects, ROUWENDAL AND VAN DER STRAATEN (2008) a negative effect, while CAO AND CORY (1981) and BURNELL (1985) found a positive effect. BURNELL corrects for non-localised effects, which can be pollution. Probably, because of these non-localised effects that affect property values in the whole city region with more or less the same amount, the willingness to pay to live close to industrial use is not negative beyond a buffer of 1000m. The definition of industrial use is also very important. One could sector E, F and I (respectively ‘production of electricity and water’, ‘construction’ and ‘transport and communication’) also identify as industrial use. We see that these sectors, irrespective of the buffer size, are significantly negatively influencing housing values. Negative externalities of these sectors are easy to sum up: we could think of visual, noise and air pollution and less access to open space. Positive effects of industrial use in vicinity could be the availability of employment and the appreciation of an industrial environment. Furthermore, industrial land is in general well accessible (think of industrial sites which are oftentimes located near highway ramps), which makes a house which is located nearby industrial land better accessible. This could be also a benefit of having industrial land in close proximity. 79 | The impact of mixed land-use - - - The negative effect of wholesale and retail is somewhat counterintuitive. Although the willingness to pay an employee in the wholesale and retail sector is very close to zero when the buffer is larger than 1250 meters, the sign of the coefficient is still negative for all buffers. GRANT (2004) argues that the current shopping behaviour is changed because of the increased car mobility (GLAESER AND KAHN 2003): people travel to large shopping malls which are located on unattractive industrial areas instead of shopping in local shops. Therefore, having a shop in the vicinity does not yield any benefits anymore, only costs (noise, lack of parking space etc.). However, the estimates of the instrumental variables approach, where the wholesale and retail variable is treated as endogenous, suggests a positive effect on housing values. This is also in line with SONG AND KNAAP (2004): they recommend mixing of small commercial development with residential use. Hotels, restaurants and cafés generally affect house prices positively. This can be explained by the fact that at least restaurants and cafés encourage active street life which is generally appreciated. This result is in line with research of GLAESER ET AL. (2001) who found a positive relation between the number of restaurants and hotels and the growth of cities: people like to live where these urban amenities are present. Private services influence housing values in general positively. I notice that the willingness to pay for an employee in the financial services sector is more than two times as large as the WTP in the business services sector. Possibly living close to work can be important in valuing these uses positively. Especially young urban professionals value reduced commuter travel time higher than other people. This can explain to some extent the high values of apartments in the city centre of Rotterdam, where many financial services firms are located. This outcome is in line with one of the conclusions of SONG AND KNAAP (2004) who state that new businesses in mixed areas should be service-oriented. Also CAO AND CORY (1981) and ROUWENDAL 80 | The impact of mixed land-use VAN DER STRAATEN (2008) found a positive relationship between the amount of services in vicinity and the value of a house. Educational employment in close vicinity has a negative impact on property values while when the buffer increases the willingness to pay for education becomes positive. Apparently, people dislike a school in direct vicinity (250-500m). Reasons can be noise pollution and higher crime rates. However, people like to have a school not too far away: travel times of bringing and picking up children would increase otherwise. Nevertheless, positive effects exceed the negative effects of local externalities when the neighbourhood considered is large enough. Thus, the effect of education on property values is more subtle than results of other studies suggest (e.g. DUBIN AND GOODMAN 1982). Finally, public services and healthcare negatively influence property values. ‘Other services’ first positively affect housing values, while when the buffer is larger than 750 meters (or in the IV-estimates, 500m), negative effects dominate. The interpretation is somewhat difficult because of the unclear composition of this sector. To summarise, uses which are generally compatible with residential use are private services, education, hotels, restaurants and cafés. Contrary, industrial use (using the broad definition of industrial use), public services and healthcare influence house prices negatively. Again, mixed land-use will be beneficial for the economy up to the point where the benefits of compatible uses in vicinity are exceeded by the costs of a diverse local economy. Moreover, it would be sensible to cluster employment in sectors which negatively affects housing values and spread employment which positively affect housing values, because the willingness to pay or accept an additional employee in a sector converges to zero when employment in this sector increases. On the one hand, this concentration and segregation of uses which are not compatible with residential use already takes place: a lot of hazardous manufacturing and unattractive low-grade activities are located on industrial sites (DE VOR AND DE GROOT 2009). In case of the city region of Rotterdam already 20% of the employment is concentrated on AND 81 | The impact of mixed land-use industrial sites. We can also observe spreading of uses which positively affect housing values: we can find business services nearly everywhere. Also education is found in nearly all neighbourhoods. On the other hand, our Gini-estimates show no relationship between concentration and the impact of a land-use on property values. Therefore, a more advanced policy is needed which takes the magnitude and sign of effects of different sectors explicitly into account. In our empirical results it is reflected that I focus only on mixed-uses. This is in contrast to other papers that I know of which evaluate a holistic planning policy as a whole, which consists of different components (e.g. SONG AND KNAAP 2003; SONG 2005). Therefore I leave, for example, pedestrian walkability, accessibility by light rail, connectivity and street design out of the analysis. I only add some measures of accessibility and density as control variables to our models. We saw density had a negative impact on values of houses, which is in line with findings of SONG AND KNAAP (2003) and the idea that Dutch people like to have some privacy. This demand for privacy is in line with the signs of the housing type coefficients: nearly all housing types are preferred over an apartment. The accessibility measures were significant and contribute to higher values of houses. In general we can conclude that even other aspects of planning policies, which might reimburse the potential adverse effects of mixed use, are in some cases not contributing to higher housing values (e.g. density). 82 | The impact of mixed land-use 4.6 Caveats It is necessary to mention some inadequacies of our study. First, the conclusions are to some extent not very general. The analysis is executed in one area of The Netherlands in one year. One can think of multiple reasons why results will differ when the analysis was executed in other regions or in other years. Second, although I evaluate every housing type (and not only single-family units) I only focus on the impact of mixed landuse on home owners. There are many more actors involved in the local economy which also value different aspects of mixed-use development. Third, the effects of mixed land-uses which are represented by employment are only taken into account. Therefore the effects of open space and infrastructural use are neglected. However, according to other studies (c.f. ROUWENDAL AND VAN DER STRAATEN 2008), open space positively affects housing values. Our conclusions are applicable in this respect: it is better to spread parks and open space since the willingness to pay per square meter open space will probably decrease when the amount of open space in vicinity increases. Other shortcomings are more methodological. Although a Box-Cox specification is more general than a (log)linear specification, it still assumes a specific version of a single index model (BONTEMPS ET AL. 2008). Moreover, for various reasons the coefficients and standard errors can be flawed because of spatial autocorrelation and endogeneity of the mixed-use variables. We saw the estimates of the instrumental variables approach substantially differ from the OLSestimates although one could question the quality of the instrument that is used. Therefore, we have to carefully consider the magnitude of willingness to pay outcomes. More research is needed to really capture the effects of different uses on housing values. The size and magnitude of the willingness to pay estimates is also very dependent on the functional form one chooses, although the log-linear and Box-Cox estimates resemble largely the same results. Finally, it is also important to notice that these results may be in contradiction with an efficient urban spatial configuration. Namely, ROSSI-HANSBERG (2004) has shown that an equilibrium outcome is not always the most efficient one. In our results we 83 | The impact of mixed land-use neglect the benefits of production externalities and we do not know if consumers value the commuting costs in a proper way. Therefore, mixing sectors with residential use can lead to a substantial loss in production externalities, which may exceed the benefits of higher housing values. More research is needed to the scale and intensity of these production externalities to verify if this is the case. 84 | The impact of mixed land-use Section 5: Conclusions 5.1 Summary and conclusions S ince Jane Jacobs in 1961 argued that mixed land-use could be a solution to many urban problems, such as urban sprawl, mixed-use is the backbone of a number of well-known planning policies. Renowned American planning programs like Smart Growth and New Urbanism incorporated mixed land-use as one of their key principles. Also European and Dutch policies are generally aiming for a mixed urban environment. Although there is some agreement among planners that mixed-use is a solution to urban sprawl, the socio-economic benefits and especially the costs are rarely measured in literature. An economic approach to measure these socio-economic effects contributes to a better understanding of the effects of planning policies which comprehend mixed-uses. However, it appears that the concept is seldom carefully defined. I came to a definition which Hugo Priemus already employs, namely, the combination of different socio-economic functions in a given area. This definition is compatible with all different planning policies. Furthermore, it covers a large number of different dimensions of mixed-use but not prescribes how land must be mixed and which uses are good to combine. There is some qualitatively oriented literature about what the effects of mixed land-use could be. It is recognised that mixed-use can lead to a better valuation and preservation of open space, optimised mobility, since people might live next to their work, synergy effects between uses and an increase in the quality of life due to intensified street life. It is also argued that there can be adverse effects of mixing uses. Examples are a loss of mobility due to an inefficient provision of infrastructure, conflicts of uses, loss in production externalities between firms and a loss of privacy. We saw economic theory does not provide decisive answers with respect to the most efficient urban structure although the most important forces, 85 | The impact of mixed land-use which are causing monofunctional or mixed land use, are identified: the production externalities between firms and the costs of interaction between firms and residents, i.e. commuter costs. It is also argued that an equilibrium in the urban economy is not always the most efficient outcome, since firms do not take the positive externalities into account which they impose on other firms. In my measurement of the impact of mixed land-use there is a focus on home owners and what the effects are on housing values. Thereby, I neglect the effects of open space and infrastructural land use because there is no data available about the amount of open space and infrastructural land use. I divide the impact of a diversified urban environment in two main effects: the effect of the environment as a whole and the effects of individual land-uses. A hedonic approach to evaluate these effects is adopted. It is found that house owners generally dislike a diversified urban environment while individual land-uses can contribute to either higher or lower property values. Industrial activities, public services and healthcare have generally a negative impact on property values, while advanced producer services, education, hotels, restaurants and cafés positively affect housing values. Agricultural activities and other services do not have a straightforward effect. Also the effect of wholesale and retail on housing values is a unclear, since OLS and IV resemble different outcomes. The willingness to pay for an additional employee in a sector ranges from minus € 936 to € 132. However, in these estimates the average employment in a sector in vicinity of a house is taken into account. When there is less employment in a sector in vicinity of the house, the willingness to pay for an additional employee is substantially larger. Note that these are the effects of one employee. In the case of firms, this amount should approximately be multiplied by the size of a firm in terms of employment. Until the positive effects of individual uses exceed the negative effects of a diverse environment and the adverse effects of other individual uses, mixed land-use will have at least not a negative effect on 86 | The impact of mixed land-use housing values compared to the situation where there is monofunctional use. I found also a negative relationship between the willingness to pay an additional employee in a particular sector and the employment of that sector in vicinity of the house. To be more specific, when there is already much employment in immediate surroundings of the house, the owner of the house will value the extra employee less. As a result, sectors which negatively affect housing values should be clustered while sectors which positively affect prices of houses should be spread over the region. To conclude, the impact of mixed land-use is multidimensional and complex to comprehend. Oftentimes, negative externalities and positive externalities of mixed land-uses are balanced which makes it difficult to identify specific effects of both individual uses and the effects of the environment as a whole. Although this identification of effects is difficult I present a framework wherein the overall effects of both land-uses and the local urban environment on housing values are evaluated. We saw mixeduse can be beneficial when compatible uses are mixed with residential uses up to the point where the costs of diversity exceed the benefits of having individual uses in proximity. 5.2 Policy implications and recommendations for further research In the previous subsection the main conclusions are formulated: mixed land-use could be beneficial for the local economy. But very well-defined planning policies are needed in order to gain benefits from mixed-use. Policy makers should take into account the following contentions: Not every land-use can be mixed with residential use. We saw industrial activities, public services and healthcare have generally a negative impact on property values, while advanced producer services, education, hotels, restaurants and cafés positively affect 87 | The impact of mixed land-use - - housing values. Agricultural activities, other services and wholesale and retail do not have a straightforward effect. Planning policies should both promote mixed and monofunctional land use. Land uses which negatively affect housing values should be clustered, for example on industrial sites. Land uses which have a positive effect on property values should be spread over the city. However, when land-uses are mixed with residential land-use, the loss of positive production externalities must be taken into account. Policy makers should take into consideration that people generally dislike a diversified urban environment. The benefits of uses which positively affect property values should exceed the adverse effects of a diversified urban environment. Because of a number of limitations of our empirical analysis there are numerous possibilities for further research in this topic. First, I only take into account home owners to validate the impact and effectiveness of mixed land-use. Further research can also take preferences of the other actors into account and check, for example, whether mixed land-use will lead to better performance of individual companies. Second, I only analyse one region, namely the city region of Rotterdam in the Netherlands. For a variety of reasons this region is not comparable to other regions, which might lead to different conclusions when this analysis was executed in other regions. Therefore further research can focus on comparing different regions instead of analysing only one region. 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Looking into economic literature, we observe there are no decisive answers which urban spatial structure is the most efficient: a mixed structure, a monofunctional configuration or something in between. Furthermore, from the literature it becomes clear that there is less evidence that support the belief of planners that mixed land-use yields socio-economic benefits and is a solution to problems urban sprawl causes. In the remainder of the thesis I confront these lacunae head on by analysing the impact of mixed land-use on house prices. To structure the effects of mixed land-use it is argued that there are two main effects on house prices: (1) the effect of proximity to different uses on the house prices and (2) the external effect of mixed land-use. The effects of open space and infrastructural land which are not expressed in terms of employment in vicinity are neglected. The analysis is based upon three datasets. First, a database of the chamber of commerce which consist of all the companies located in the Rotterdam city region in 2006. Second, a database of the NvM with all housing transaction prices in 2006 in the Rotterdam city region. Finally, a database of the CBS with detailed information (e.g. population density, percentage immigrants) on neighbourhood level is used. I construct a database, using GIS-software, where for every dwelling the structural characteristics are combined with information about the neighbourhood and, more important, information about employment in different sectors in proximity and variables that measure to what extent the land-uses are mixed. 97 | The impact of mixed land-use Using this newly constructed database, a number of hedonic price models are applied to measure the aforementioned effects. The results show that house owners generally dislike a diversified urban environment while individual land-uses can contribute to either higher or lower property values. Industrial activities, public services and healthcare have generally a negative impact on property values, while advanced producer services, education, hotels, restaurants and cafés positively affect housing values. Agricultural activities and other services do not have a straightforward effect. Also the effect of wholesale and retail on housing values is unclear, since OLS and IV resemble different outcomes. The willingness to pay for an additional employee in a sector ranges from minus € 936 to € 132. Note that these are the effects of a marginal employee. In the case of firms, this amount should approximately be multiplied by the size of a firm in terms of employment. Until the positive effects of individual uses exceed the negative effects of a diverse environment and the adverse effects of other individual uses, mixed land-use will have at least not a negative effect on housing values compared to the situation where there is monofunctional use. I find also a negative relationship between the willingness to pay or accept an additional employee in a particular sector and the employment of that sector in vicinity of the house. To be more specific, when there is already much employment in immediate surroundings of the house, the owner of the house will value the extra employee less. As a result, sectors which negatively affect housing values should be clustered while sectors which positively affect prices of houses should be spread over the region. However, when sectors are mixed one has to take into account the loss of production externalities between firms. Eventually, the shortcomings and recommendations for further research are discussed. A main shortcoming of this study is that it is not very general. The analysis is performed in one year, only in one area (respectively 2006 and the city region Rotterdam). To be able to come to general conclusions it would be better to apply this methodology to more regions. Furthermore, it only focuses on house owners. There are probably 98 | The impact of mixed land-use also important effects of mixed land-use which influence the performance of firms, for example the loss of production externalities. There are also some methodological deficiencies, i.e. the choice of functional form and potential endogeneity of the regressors. To conclude, the impact of mixed land-use is multidimensional and complex to comprehend. Oftentimes, negative externalities and positive externalities of mixed land-uses are balanced which makes the identification of specific effects of both individual uses and the effects of the environment difficult. Although this identification of effects is difficult I present a framework wherein the overall effects of both land-uses and the local urban environment on housing values are evaluated. We saw mixeduse can be beneficial when compatible uses are mixed with residential uses up to the point where the costs of diversity exceed the benefits of having individual uses in proximity. 99 | The impact of mixed land-use 100 | The impact of mixed land-use Samenvatting (Nederlands) In de wetenschappelijke literatuur omtrent het plannen en indelen van de wijk en/of buurt is het mixen van diverse functies (wonen, werken, recreatie) een onderwerp van veel debat. Zo is het mixen van diverse socio-economische functies in een bepaald gebied (vaak een buurt of wijk) een belangrijke component in Europese en Amerikaanse planningconcepten. Deze masterthesis gaat eerst in op de huidige literatuur omtrent deze functiemenging. Door deze literatuuranalyse worden een aantal mogelijke kosten en baten van het implementeren van mixed landuse geïnventariseerd. In economische literatuur blijkt er ook onderzoek gedaan te zijn welke stedelijke structuur het meest efficient is. Het blijkt dat het laatste woord hier nog niet over gesproken is: de resultaten van de modellen of een gemixte stedelijke omgeving, een monofunctionele indeling of iets er tussenin tot optimale uitkomsten leidt is door de sterk gesimplificeerde modellen vaak moeilijk toe te passen op de realiteit. Uit de stedelijke literatuur blijkt verder dat er nog weinig empirisch bewijs is dat functiemenging leidt tot socio-economische baten, ondanks dat planners hier heilig in geloven. In de rest van the thesis concentreer ik me of het vergaren van meer empirisch bewijs óf functiemenging leidt tot baten voor huiseigenaren. Om de effecten te structuren beargumenteer ik dat er twee belangrijke soorten effecten zijn op huizenprijzen, namelijk (1) het effect van de nabijheid van verschillende socio-economische functies in nabijheid van woningen en (2) het effect van de omgeving als geheel. Ik negeer de effecten van parken e.d. en infrastructurele effecten omdat deze niet zijn uit te drukken in werkgelegenheid, wat bij andere effecten wel het geval is. Om de impact van functiemenging te meten gebruik ik drie databases. Als eerste gebruik ik een database van de Kamer van Koophandel. Deze database bevat gegevens over alle in de Rotterdamse stadsregio aanwezige bedrijven op 6-digit postcode niveau. Als tweede gebruik ik een database van de NvM die alle transacties en gedetailleerde gegevens 101 | The impact of mixed land-use omtrent verkochte huizen bevat. Als derde gebruik ik data van de CBS met gedetailleerde informatie op buurtniveau. Ik construeer een database, met behulp van GIS-software, die voor elk huis, behalve de structurele eigenschappen, ook informatie bevat over werkgelegenheid in de omgeving en buurtdata. Deze nieuwe database gebruik ik om een aantal hedonische prijsanalyses uit te voeren. De resultaten laten zien dat huiseigenaren over het algemeen een diverse lokale omgeving niet waarderen. Desondanks kunnen individuele functies wel leiden tot hogere huizenprijzen. Er zijn ook bepaalde sectoren die een negatieve invloed uitoefenen op de huizenprijs. Industriële activiteiten, publieke diensten en gezondheidszorg zijn voorbeelden van sectoren die huizenprijzen negatief beïnvloedden. Hoogwaardige dienstverleners, educatie, en horeca-activiteiten hebben een gunstige invloed op de waarde van een huis. Agriculturele activeiten en overige diensten hebben geen structureel effect. Het effect van grooten detailhandel op huizenprijzen is nog onduidelijk. De uitkomsten van diverse econometrische modellen spreken elkaar namelijk tegen. De betalingsbereidheid (willigness to pay) voor een marginale werknemer in een sector ligt tussen de min € 936 en de € 132. Om de betalingsbereidheid voor een heel bedrijf te achterhalen, zal dit bedrag ruwweg moeten worden vermenigvuldigt met het aantal werknemers die actief zijn in dit bedrijf. Functiemenging zal positieve invloed hebben op huizenprijzen zolang de positieve effecten van individuele functies de kosten van een diverse omgeving overschrijden. Verder is een belangrijk resultaat dat de betalingsbereidheid afneemt naarmate de werkgelegenheid in een bepaalde sector in de omgeving van een huis toeneemt. Daarom zullen sectoren die een negatieve invloed op huizenprijzen hebben moeten worden geclusterd: immers, de extra werknemer heeft niet zo’n groot effect meer als wanneer de extra werknemer zou gaan werken op een plaats waar nog geen werkgelegenheid in deze sector aanwezig is. Sectoren die een gunstige invloed uitoefenen op de waardes van huizen zullen juist moeten worden 102 | The impact of mixed land-use verspreidt zodat de betalingsbereidwilligheid voor dergelijke werknemers overal zo hoog mogelijk is. Toch zal men rekening moeten houden met het verlies van zogenaamde productie-externaliteiten tussen bedrijven wanneer gemixt wordt met woningen. Er wordt namelijk vanuit gegaan dat deze productie-externaliteiten hoger zijn wanneer bedrijven zich in elkaars nabijheid bevinden. Natuurlijk zijn er ook een aantal zwakke punten in mijn analyse te ontdekken. Allereerst is de vraag of de conclusies ook gelden voor andere gebieden en andere jaren: ik analyseer alleen de Rotterdamse stadsregio in het jaar 2006. Waarschijnlijk is het verstandig om de gebruikte methodologie ook toe te passen op andere regio’s om zo te kijken of de gevonden conclusies ook in andere regio’s standhouden. Voorts, ik analyseer alleen de effecten van functiemenging op huiseigenaren en besteed daarbij geen aandacht aan andere actoren die actief zijn in de lokale omgeving. Hierbij kan men denken aan de overheid en de aanwezige bedrijven. Ook zijn er wat mogelijke methodologische problemen, bijvoorbeeld door de specificatiekeuze en endogeniteit. Tenslotte, the impact van het mixen van diverse socio-economische functies in één gebied is multidimensionaal en moeilijk om compleet in beeld te krijgen. We zagen dat negatieve en positieve effecten vaak tegen elkaar worden weggestreept wat de identificatie van individuele kosten en baten van functiemenging moeilijk maakt. Ondanks deze moeilijkheid hebben we de totale netto effecten kunnen achterhalen van zowel individuele functies als het effect van de omgeving an sich. We zagen dat functiemenging voordelig kan zijn voor de huiseigenaar zolang de baten van bepaalde sectoren de negatieve effecten overschrijden. 103 | The impact of mixed land-use 104 | The impact of mixed land-use Appendix A: Buffering techniques In order to obtain our final database with the structural variables, the accessibility variables, the neighbourhood variables, and most important, the mixed-land use variables I have to use Geographic Information Systems (GIS) to be able to generate the dataset. I use the software of ESRI, namely ArcInfo. The first step is geocoding both the NVM databases with the houses and their structural information. Also the database with the 6-digit postal code information with for each sector the employment I have to geocode. In figure A-1 we see an imaginary example of projected houses and 6-digit employment information. The second step is only possible by using the Visual Basic plug-in which is available in ArcInfo.21 I let the computer generate a buffer of size X (measured in meters) for each house and check which postal codes fall in these buffers. We see for example, the house in the middle have two postal codes which are reachable within X meter distance. The last step is to integrate the data. I sum up the employment over different sectors in the PC-6 locations that are within the buffer of a house. For example, the house in the middle sums up the employment of two PC-6 locations while the other houses only can reach one PC-6 locations. I end up with a database where there are 13 columns added with information about the employment in the 13 different sectors for each dwelling. The accessibility measures are easily computed by using the functionality “near” which is available in ArcInfo. The neighbourhood information of CBS is joined with the NVM database by using the functionality “spatial join” which is also available in ArcInfo. 21 The programmed code is available upon request. 105 | The impact of mixed land-use Figure A-1: Buffering example • • STEP 1 . • •+ • Hou " • • + • + • ' ''''0< 000' 0( _' Bull.. .. "",," .""h''''''''' 0( , ,,,, L., • -- ., STEP 2 •+ • ",,-,, >< • + •• . • , ,,,,,,,," " PC_6 " "uH. - ,,,,,,,Ki """h huo"" of , ,,,, ,. , El ....... ~ "' ''''· M ....... ~ , " , " "" STEP 3 . .. ~ .~ + - ........ . ,, ,. ,.",. '" , " "" • ,., "" " 106 | The impact of mixed land-use Appendix B: Descriptives Table B-1: Descriptives VARIABLE DESCRIPTION STRUCTURAL CHARACTERISTICS Transaction price Transaction price of a house in euros in the year [ln]25 2006. Lot size [ln] Size of the lot in m2. Volume [ln] Volume of the house in m3. Apartment Dummy variable indicating if a house is an apartment (=1). This is the reference category. Terraced Dummy variable indicating if a house is an terraced house (=1). Semi-detached Dummy variable indicating if a house is an semi-detached house (=1). Detached Dummy variable indicating if a house is an detached (free-standing) house (=1). Rooms Variable that describes the number of rooms of a house. Garage Dummy variable indicating if a house has a garage. SRCE22 MEAN23 ST.DEV.24 NVM 217738.1 142035.53 NVM NVM NVM 193.74 317.33 0.49 896.05 145.96 0.50 NVM 0.31 0.46 NVM 0.17 0.37 NVM 0.04 0.19 NVM 4.05 1.32 NVM 0.05 0.21 NVM = Dutch association of brokers; KvK = Chamber of commerce; NS = Dutch railways; CBS = Central Bureau of Statistics. 23 For the mixed land-use characteristics: a buffer of 500 meter around is house is taken. Obviously, this value will change when the buffer size is changed. 24 For the mixed land-use characteristics: a buffer of 500 meter around is house is taken. 22 25 [ln] indicated which variables are transformed logarithmically 107 | The impact of mixed land-use Garden Maintenance good Maintenance average Maintenance bad No central heating Monument Construction year < 1960 Construction year 1961-1970 Construction year 1971-1980 Construction year 1981-1990 Dummy variable indicating if a house has a garden. Dummy variable indicating if a house has a good maintenance quality (=1). Dummy variable indicating if a house has an average maintenance quality (=1). Dummy variable indicating if a house has a bad maintenance quality (=1). This is the reference category. Dummy variable indicating if a house has no central heating (=1). Dummy variable indicating if a house is a monument (=1). Dummy variable indicating if a house has been built before 1960 (reference category). Dummy variable indicating if a house has been built between 1961 and 1970. Dummy variable indicating if a house has been built between 1971 and 1980. Dummy variable indicating if a house has been built between 1981 and 1990. NVM 0.48 0.50 NVM 0.01 0.07 NVM 0.88 0.32 NVM 0.11 0.32 NVM 0.08 0.27 NVM 0.00 0.06 NVM 0.33 0.47 NVM 0.14 0.35 NVM 0.14 0.35 NVM 0.15 0.36 108 | The impact of mixed land-use Construction year 1991-2000 Dummy variable indicating if a house has been built between 1991 and 2000. Construction year > Dummy variable 2001 indicating if a house has been built after 2001. ACCESSIBILITY CHARACTERISTICS Distance to city Variable indicating the centre [ln] distance (in meters) to the Rotterdam city centre. The ‘Beurstraverse’ is taken as centre. Distance to highway Variable indicating the ramp [ln] distance in meters to the nearest highway ramp. Distance to railway Variable indicating the station [ln] distance in meters to the nearest NS-railway station. NEIGHBOURHOOD CHARACTERISTICS Population density The population density [ln] measured in number of people per km2 in the neighbourhood where the house is located. Percentage ethnic The percentage of ethnic minorities minorities in the neighbourhood where the house is located. MIXED LAND-USE CHARACHERISTICS Variety Variable which describes the variety of uses in vicinity of the house. (Cf. equation 3.2) Diversity Variable which describes the diversity of uses in vicinity of the house. (Cf. equation 3.3) NVM 0.17 0.37 NVM 0.07 0.25 KvK 8203.07 6001.92 CBS 2275.48 1643.20 NS 2880.24 2887.04 CBS 7438.39 4316.96 CBS 28.88 17.09 KvK 0.74 0.17 KvK 4.55 1.55 109 | The impact of mixed land-use Job-population ratio A_B_C Agricultural activities [ln] D Industry [ln] E Production electricity, water [ln] F Construction [ln] G Wholesale and retail [ln] H Hotel, restaurants and cafés [ln] I Transport and communication [ln] J Financial services [ln] K Business services [ln] Variable which describes the job-population ratio in vicinity of the house. (Cf. equation 3.4) Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. KvK 0.38 0.89 KvK 21.23 117.70 KvK 47.80 116.05 KvK 6.04 45.63 KvK 57.46 135.26 KvK 287.05 413.57 KvK 69.91 142.50 KvK 97.33 291.63 KvK 102.50 498.12 KvK 310.76 629.60 110 | The impact of mixed land-use L Public services [ln] M Education [ln] N Healthcare [ln] O Other services [ln] Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. Describes the employment in this sector within a given distance of the house. KvK 128.69 439.61 KvK 146.24 223.50 KvK 315.62 583.12 KvK 88.83 198.14 111 | The impact of mixed land-use
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