RESEARCH AND ANALYSIS Long-term Coordination of Timber Production and Consumption Using a Dynamic Material and Energy Flow Analysis Daniel B. Müller, Hans-Peter Bader, and Peter Baccini Keywords dynamic modeling forest products industry integrated chain management materials flow analysis (MFA) resource efficiency vintage effects Address correspondence to: Daniel B. Müller Yale School of Forestry & Environmental Studies 205 Prospect Street New Haven, CT 06511-2189 USA [email protected] Summary A dynamic model for wood and energy flows is used to analyze regional timber management. The model combines a sitequality-dependent forest-growth module with modules for the timber industry, timber products use, waste management, and energy supply. The model is calibrated with data of a Swiss lowland region for the period of 1900–1997. Scenarios are developed for the period until 2100 in order to discuss possible future roles of domestic timber. Model simulations show that, with present strategies, timber overproduction will further increase in the twenty-first century because of an increase in forest site quality in the second half of the twentieth century, among other reasons. The increase in building gross floor area of the region by a factor of 5 during the twentieth century coincides with a reduction of timber use in building construction by a factor of 4.5, from 90 kg/m2 to 20 kg/m2. Increasing timber density in buildings could address overproduction; however, a strategy of timber construction could not be accomplished with domestic timber alone. A balance of production and consumption on the present level could also be achieved in a scenario in which the present building stock is gradually exchanged during the twenty-first century with buildings that exclusively use a combination of solar panels on roofs and domestic firewood and used wood as heat-energy sources. These replacement buildings would have density typical of late twentieth-century buildings, and they would need to perform on a low-energy standard of not more than 130 MJ/m2/yr. 䉷 2004 by the Massachusetts Institute of Technology and Yale University Volume 8, Number 3 http://mitpress.mit.edu/jie Journal of Industrial Ecology 65 RESEARCH AND ANALYSIS Introduction Challenges of Long-term Timber Management Not much more than a tree lifetime ago, timber was a scarce resource in many European regions. Concerns about the long-term timber supply led to a variety of measures, such as promotion of a reduction of wood consumption, improvement of growth by silvicultural methods, and reforestation of bare land, for which often nonindigenous coniferous species were favored because they were easy to establish and manage and generated expectations of high volume growth. In the short run, the wood shortage could be alleviated with these measures, mainly as a result of substitution of wood by other resources, such as fossil fuels as the main energy source and concrete and steel as dominant construction materials, and as a result of decreasing transportation costs for the shipment of timber over long distances. Today, the situation seems to be the reverse: Many of the coniferous stands planted a century ago cannot be rejuvenated because timber consumption did not follow the increased production and timber imports increased. This unused production potential of the coniferous stands has several undesirable side effects, such as a loss of biodiversity, a shift to non-site-adapted tree species, and a reduced resistance to damage from storms, snow, ice, droughts, insects, and fungi (Spiecker 2003). From a forest management point of view, long periods of both forest overuse and underuse are undesirable. For timber, the time distribution of the timber harvest has a greater effect on the ecological damage to the ecosystem as compared to the time distribution of the production of other resources such as minerals. That is, evenly spreading the harvest of a fixed amount of wood tends to cause significantly less damage than harvesting it all at the beginning or end of an extended time period. By comparison, it makes much less difference to the overall damage whether a fixed quantity of a mineral is mined all at once or evenly distributed over the years. Compared to other resources such as minerals, high fluctuations of timber use are particularly problematic for the ecosystem. 66 Journal of Industrial Ecology The present situation of a large unused production potential gives rise to the question of what roles timber could play in the future, as a construction material, as a raw material for paper and paperboard production, and as a fuel. If future fluctuations of timber use are to be avoided, this question needs to be answered in the context of a coordination between production and consumption. A precondition for any coordination of production and consumption is a quantification of the timber flows along the entire life cycle, and an understanding of how these flows are influenced by different environmental, political, and economic factors. In this article we introduce a generic model for long-term timber management. The use of the model is illustrated with a case study of a Swiss lowland region. The historic timber flow in this region is analyzed for the twentieth century. The model is further used to analyze scenarios for the future production and consumption of timber in the twenty-first century. Previous Research A better understanding of the interactions between production and consumption of timber requires extended information about the distribution of timber in space and time. A variety of different approaches have been developed to investigate timber management in different sectors, such as forestry (Agren and Axelsson 1980; Mc Murtrie and Wolf 1983; Mäkelä and Hari 1986; Mohren 1987; Valentine 1990; Sievänen 1992; Bossel 1994; Pretzsch 1997), industry (BfS and BUWAL 1996, Planconsult 1998), construction inventories and waste management (Mantel and Schneider 1967; Kroth et al. 1991; Wüest and Partner 1995; Tolstoy et al. 1998; Kohler et al. 1999; Steadman 1997; Steadman and Bruhns 2000; Steadman et al. 2000; Johnstone 2001a, 2001b). These models cover different parts of the timber chain, which is helpful for understanding a subsystem, such as assuring sustainable forest management. The models are very limited, however, with respect to supporting a better understanding of the entire timber chain because they neglect important relationships among the sectors. RESEARCH AND ANALYSIS In response to these shortcomings, several research groups have attempted to develop forest sector models (Randers and Lönnestedt 1979; Adams and Haynes 1980, 1986; Adams 1985; Gilles and Buongiorno 1987; Kallio et al. 1986, 1987; Hofstad 1990; Schwarzbauer 1992; Boungiorno et al. 1994; Brooks et al. 1995). Kallio and colleagues (1987) distinguish four components of a forest sector model: timber production, timber processing, demand for timber products, and trade with other regions. Economic forest sector models are usually based on econometrics, linear programming or system dynamics, or combinations of these tools (Buongiorno 1996). Although forest sector models combine forestry and the timber industry, they neglect the influence of the construction inventory, waste management, and recycling on timber demand and supply. Economic forest sector models are therefore not mass-balance consistent, which limits their accuracy and their capacity to explain the relationship between production and consumption. A more comprehensive approach was applied by researchers who analyzed the carbon sequestration capacity of the forest sector. Dewar (1991) compared carbon storage in old-growth and managed forests, which imply a carbon stock in wood products. This study was based on a theoretical analysis. Karjalainen and colleagues (1995) analyzed the carbon balance for the Finnish forest sector. They compared the carbon sequestration potential of forest management and timber product utilization alternatives. The carbon stock in the products was estimated using a simple model. Pingoud and colleagues (2001) quantified the carbon stock of wood products, using data of the Finnish building inventory. They distinguish different building types and age classes. This model, however, neither considers the forest inventory nor is designed to discuss restructuring scenarios for the building stock and their effects on the timber demand and generation of waste wood, which is essential for a model aiming at coordinating production and consumption. Integrating the Partial Models Using a Dynamic Materials Flow Analysis (MFA) One could argue that the timber chain could be described by simply linking different partial models. But such an attempt would face severe difficulties because it would require a large amount of data, implying a long calculation time. More importantly, it would create serious problems at the interfaces between the partial models. Different measures for timber—for example, solid volume with/without bark, round wood equivalents, stacked volume, wet weight, dry weight, monetary units—and different modeling approaches—for example, simple mass balances, process-based dynamic models, (partial) equilibrium models, linear optimization, simulation models—are used for the different partial models. The main shortcoming of such an approach of accumulating partial models, however, would be the fact that it could not take into account the relationships among the different parts of the system, such as feedback and delay.1 We therefore apply a material flow analysis (MFA) approach (Baccini and Brunner 1991; Baccini and Bader 1996), which provides a basis for integrating the physical aspects of the different partial models. It further enables us to describe systems with dynamic or time-dependent models. A dynamic approach is needed to capture delays caused by the long residence time of timber in forests and buildings. With the use of MFA to combine the sector models, it becomes necessary to translate the partial models, or aspects of them, into MFA language. Purpose The purpose of this article is to answer the following questions: 1. What are the most important factors determining regional timber management? 2. What are the possible future roles of timber as a construction material, as a raw material for paper production, and as a fuel? 3. What are the benefits and limits of the MFA approach? This article includes a description of an MFA model called XYLOIKOS, and an application in a Swiss lowland region called “Kreuzung Schweizer Mittelland” (KSM).2 The application of the model in KSM is relatively brief in this context, however. The focus lies in a methodological contribution to modeling the timber cycle. The KSM case study is used here to enhance the un- Müller et al., Long-term Timber Management Using MFA 67 RESEARCH AND ANALYSIS derstanding of the model and the system behavior. With this case study, we are therefore neither attempting to show the full range of application of the model nor providing an extensive analysis of the region. The XYLOIKOS Model System Definition Figure 1 shows the XYLOIKOS system, which describes regional management using 10 main processes (indicated with boxes) and 27 main goods or flows (indicated with arrows). The system includes timber flows (straight lines) and timber-management-related energy flows (dotted lines), which include wood as well as other fuels, for example, fossil fuels and solar energy panels on roofs of houses. The main timber stocks, the inventories of the forests (process 1), and the buildings (processes 4 and 5), are divided into subprocesses of birth cohorts (stands of trees grouped by the years when they began to grow). Increases in the quantity of wood in the forests (“wood increments”) I1 is a (net) input into the system to the process “forests” (process 1). The increment includes stem wood and does not include biomass in roots, trunks, branches, and leaves. The increment varies in time for each birth cohort because trees grow differently in different growth stages. Accordingly, increment and harvest are regarded individually for each birth cohort k. The process “forestry” (process 2) distributes the harvested wood into roundwood (A2 3) and firewood (A2 10). The timber industry (process 3) includes the processing and trade of domestic roundwood, net imports of wood (I3), and recycling wood (A9 3). The trade involves roundwood, semi-finished goods, and finished goods. The timber industry produces four product types: carpentry and joinery products (A3 4 and A3 5), other wood products (A3 6), pulpwood (A3 7), and wood residues (A3 10). Carpentry and joinery products are used in buildings. As with the forests, the buildings are divided into birth cohorts l, representing the different periods of con- Figure 1 System of the XYLOIKOS model. Boxes represent processes, arrows indicate flows, and dotted arrows indicate energy flows. Processes with gray boxes (processes 1, 4, 5, and 6) consist of a significant stock that is considered in the model. Processes with subdivided gray boxes (processes 1, 4, and 5) are inventories modeled using subprocesses of birth cohorts (vintage structure). 68 Journal of Industrial Ecology RESEARCH AND ANALYSIS struction. This allows us to characterize buildings constructed in different periods as varying in their timber density. The category “other wood products” accounts for all wood products that are not used in buildings, such as packaging, bridges, fences, and so forth. Pulpwood is used, in combination with recycling paper (A8 7) for the production of paper and paperboard (A7 8) and the by-product lignin (A7 10). After consumption, paper (including paperboard) is recycled (A8 7), used for energy production (A8 10), or discarded as waste paper (O8). These three options for cascading use of paper apply in principle for timber products also. In some cases, used wood is recycled (A9 3); however, more often it is used for heat recovery as fuel wood (A9 10) or discarded as wood waste (O9). Energy is used in forestry (A10 2), in the timber industry (A10 3), in the paper industry (A10 7), and in the buildings (A10 4 and I4). The building energy includes heat energy used for warm water and room heating, but does not consider the use of electricity. Energy from the process “energy supply” involves wood, natural gas, and oil in different combinations. Energy from solar panels is produced on the roofs of the buildings in different birth cohorts. This allows us to develop scenarios for a combined energy supply of solar panels and wood. The process “forests” consists of f forest birth cohorts of 20 years. A simulation from 1900 to 2100 therefore requires f ⳱ 10 birth cohorts. In order to account for the age structure of the forest already present at the year 1900, the number of birth cohorts is extended to f ⳱ 15. In the birthcohort approach, the forest stands (management units) are grouped according to their year of establishment, for example, all forest stands established between 1900 and 1919, between 1920 and 1939, and so on. Thus, a forest stand remains in the same subprocess for its entire rotation period. Most traditional forest models use age cohorts or developmental stages instead of birth cohorts. In these approaches, a forest stand passes through all the subprocesses during a rotation period. In the birth-cohort approach, the forestry subprocesses are treated as geographically clearly defined and invariant balance volumes. This allows us to give different geographically related attributes to the different birth cohorts, for ex- ample, site quality or tree species composition. It further provides a simple way to integrate stand simulation models into regional forest inventories. In a similar way, the buildings are grouped into g ⳱ 15 birth cohorts of 20 years. The buildings are sorted into building classes according to their year of construction. A building remains in the same birth cohort for its entire lifetime. A distinction is made between the stocks of joinery and carpentry wood. Carpentry products, used for building structures, usually have a longer residence time in buildings than do joinery products, such as furniture, kitchens, and windows. This distinction allows us to investigate the differences in the dynamics of carpentry and joinery product use. The entire system counts a total of 7 Ⳮ f Ⳮ 2g processes and 19 Ⳮ 2f Ⳮ 6g flows. The flows are divided into 15 Ⳮ 2f Ⳮ 4g material flows and 4 Ⳮ 2g energy flows. Principles of the Mathematical Description The stock and flows are represented mathematically using system variables: M(t) for stock, A(t) for internal flows, I(t) for input flows, and O(t) for output flows. The model calculates all stocks and flows in the system, which counts 26 Ⳮ 3f Ⳮ 8g system variables. The system is therefore determined completely using 26 Ⳮ 3f Ⳮ 8g independent system equations. Two types of equations are used: • 7 Ⳮ f Ⳮ 2g balance equations • 19 Ⳮ 2f Ⳮ 6g modeling approach equations For processes 1 to 9, the balance equation is formulated in terms of matter. The balance equation for process 10 (energy supply) is calculated in terms of energy equivalents. This allows us to substitute wood for other fuels. The formulation of the balance equation for each process is straightforward and therefore omitted. Modeling Approach The modeling approach represents the “specific system properties” in mathematical form. Müller et al., Long-term Timber Management Using MFA 69 RESEARCH AND ANALYSIS The key characteristics of the system are denoted by parameter functions. Forests The process “forests” represents the relationship between net annual increment (in figure 1 noted as “increment”), inventory (stock), and harvest (including intermediate and final cutting). The model simulates forests that consist of stands with even-aged single-species structures, such as most high forest or irregular shelter-wood systems. These forest-management systems can be described using relatively simple models. The forest submodel could easily be exchanged with a model for uneven-aged and mixed-species stands; however, this would significantly increase the complexity and data requirements. Most forestry textbooks show that moderate intermediate cutting has no significant influence on the overall increment of a forest stand (Assmann 1961; Kramer et al. 1988; Wenk et al. 1990). After moderate cutting activities, the same increment is distributed among a smaller number of trees that grow all the more. This observation allows us, in the absence of extreme interventions, to describe increment and harvest as independent functions. The net annual increment for all birth cohorts follows the following formula: cal law of growth might exist. Thomasius (1965) has shown that the parameters of the Backmann function have no biological interpretation. He argues that the Backmann function is a pure empirical function that often shows a good agreement for growth of even-aged single-species stands. A model validation in the KSM region of Switzerland showed, however, that the Backmann function correlated very well with data of the local yield tables, but not with field data. The reason for this difference in increment lies, as XYLOIKOS simulations suggested, in a remarkable increase of the site quality3 since the 1950s. As a consequence, the Backmann function was extended with the site-quality index b (Müller 1998): d(b,t) ⳱ dmax(b)•exp[(ⳮK(b))log2(t/tdmax(b))] The three site-quality dependent parameters can, according to the local yield tables—speciesspecific representations of the amount of useable wood a forest can be expected to produce during a single rotation based on site index—be well represented using linear functions of b (Müller 1998). dmax (b) ⳱ d0 Ⳮ a1 • b(t) K(b) ⳱ K0 Ⳮ a2 • b(t) tdmax(b ⳱ t0 Ⳮ a3 • b(t) f I1(t) ⳱ 兺D (t)•d(k)(t)•qwood (k) for k ⳱1 (1) k ⳱ 1, . . . , f (index of birth cohort) where D(k) for (t) is the forest area of forest birth cohort k at time t, d(k)(t) represents the net annual volume increment per area of forest birth cohort k at time t, and qwood stands for the density of wood. The volume increment d(k)(t) is modeled using the Backmann function (Backmann 1942). d(t) ⳱ dmax•exp[(ⳮK)log2(t/tdmax)] (1a) The Backmann function describes volume increment using only three parameters. dmax (for reasons of simplicity the index k is omitted) is the maximal volume increment, which is reached at time tdmax. K is a constant. The accurate, elegant simplicity of the Backmann function led scholars to speculate that a mathemati- 70 Journal of Industrial Ecology (1b) (1c) (1d) (1e) Harvest involves intermediate and final cutting, represented by the two terms in the parentheses of the following equation: A1 2(t) 兺 冢c f ⳱ k ⳱1 (t) Ⳮ (k) 冣 D(k) for, clear(t) • M(1.k)(t) (k) Dfor (t) (2) k ⳱ 1, . . . , f where c(k)(t) is the volume cutting percentage of forest cohort k, and D(k) for,clear(t) is the cleared forest area of forest cohort k. The yearly rejuvenated or planted forest area D(k) for,new(t), the yearly cleared or harvested area D(k) for,clear(t), and the area stock for each birth cohort D(k) for (t) are determined by the total forest area Dfor(t) and the length of the rotation period per forest cohort r(k): (k) (k) D(k) for,clear(t) ⳱ Dfor,new(t ⳮ r ) (2a) RESEARCH AND ANALYSIS D(k) for (t) (2b) t 冮(D ⳱ D0(k) Ⳮ (k) for,new (k) (t) ⳮ Dfor,clear (t))dt 0 Forestry The process “forestry” involves harvesting activities and the distribution of the harvest to firewood and roundwood (including saw logs and pulpwood). The amount of firewood is a timedependent proportion of the harvest: A2 10 (t) ⳱ k2 10(t) • A1 2(t) (3) where k2 10(t) is the transfer coefficient of firewood production. As a distribution process, forestry itself has no significant timber stock change: Ṁ(2)(t) ⳱ 0 (4) Timber Industry The process “timber industry” includes all processing steps from the acquisition of timberbased raw materials to the production of intermediate and final products and trade with these goods. Net import is assumed to be the dependent variable: Differences between domestic production and domestic consumption are balanced with imports and exports. Stock change within the timber industry is regarded as negligible: Ṁ(3)(t) ⳱ 0 (5) 10 (t) ⳱ k3 10 ⳱ 兺D (l) (t) • mcar l ⳱ 1, . . . , g (l) bui,dem l⳱1 t 冮 (l) (l) Dbui,dem (t) ⳱ k4.l 9(t,t⬘) • Dbui,new (t⬘)dt⬘ (9a) 0 (l) Dbui (t) (9b) t 冮 (l) ⳱ D0(l)(t) Ⳮ (Dbui,new (t) ⳮ D(l) bui,dem(t))dt 0 (t) • [A2 3(t) Ⳮ I3(t) Ⳮ A9 3(t)] (6) g ˙ (l) (t) • m(l) l ⳱ 1, . . . , g Ṁ (t) ⳱ 兺D bui car (7) 兺D˙ bui(l) (t) • m(l)joi l ⳱ 1, . . . , g (8) (4) 兺D (t) (9c) (l) bui l⳱1 Building Inventory Changes in timber stock of carpentry and joinery products held in the building inventory are calculated as follows: l ⳱1 g l ⳱1 (9) g Dbui(t) ⳱ where k3 10(t) represents the transfer coefficient of wood-residues generation. Ṁ(5)(t) ⳱ A4 9(t) g The wood residues are A3 ˙ (l) (t) is the change of the total gross floor area D bui (l) of building cohort l, and m(l) car and mjoi are the average densities of carpentry and joinery wood in building cohort l. The assumption is that the wood densities vary between different building cohorts but remain constant during the lifetime of the buildings. Waste wood generation from carpentry products in a birth cohort is assumed to be proportional to the yearly demolished gross floor area in building cohort l, D(l) bui,dem(t). Analogous to the forest area (equations 2, 2a, and 2b), the yearly new built gross floor area D(l) bui,new(t), the yearly demolished gross floor area D(l) bui,dem(t), and the gross floor area stock of building cohort l, D(l) bui(t) are determined by the entire gross floor area Dbui(t) and the lifetime distribution of the buildings k4.l 9(t,t⬘), which is identical with the lifetime distribution of the carpentry products. The transfer function uses t⬘ as input time. This function is discussed in more detail by Baccini and Bader (1996), Zeltner et al. (1999), and Binder et al. (2001). We assume a normally distributed lifetime for the buildings and carpentry products: k4.l 9(t,t⬘) 1 (tⳮt⬘ⳮs0)2 ⳱ • exp ⳮ , N0 2r02 (9d) with N0 ⳱ 冮 exp ⳮ 0 (tⳮs0(t⬘))2 2(r0(t⬘))2 Müller et al., Long-term Timber Management Using MFA 71 RESEARCH AND ANALYSIS where N0 is a normalization factor, s0 is the average lifetime, and r0 is the variance of the lifetime. Joinery products have a shorter average lifetime than buildings, and thus are often replaced in buildings. As a result, waste wood generation from joinery products consists of two components, demolition products A5.l 9,dem(t) and replacement products A5.l 9,ren(t) produced by renovations. A5 9(t) ⳱ A5.l l ⳱ 1, . . . , g (t) Ⳮ A5.l 9,dem 9,ren (t), (10) The demolition term is similar to the term describing clear cutting in forests. The renovation term is described with a transfer function. A5.l A5.l (l) (t) ⳱ D(l) bui,dem(t) • mjoi(t) 9,ren(t) 9,dem (10a) A3 6(t) ⳱ P(t) • sowp(t) Waste generation from other wood products assumes a certain delay between input (sales) and output (waste). This delay corresponds to the lifetime distribution of the wood products. t A6 9(t) ⳱ 冮 6 9 (t,t⬘)A3 6(t⬘)dt⬘ k5.l 9(t,t⬘) • A3 5.l(t⬘)dt⬘ (10b) The renovation term can be interpreted as follows: All inputs to birth cohort l of times t⬘ < t contribute to the renovation term by a relative amount of k5. 9(t,t⬘), where k5.l 9(t,t⬘) is a transfer function and tR stands for the birth year of the oldest not yet demolished building. The transfer function is also assumed to be normally distributed and is identical with equation (9d). tR can be calculated from the following differential equation: dt(l) R (t) dt A5.l ⳱ 冤 A3 5.l(t(l) 1ⳮ R (t)) 9,dem t (t) 冮k 冥 (t⬘,t(l) R (t))dt⬘ 5.l 9 tR(t) (10c) The denominator describes the amount of wood that is left from input A3 5.l(t) at time t. Equation (10c) assumes that only the oldest available buildings in a cohort are demolished. Consumption of Other Wood Products Sales of other wood products are dependent on the population P(t) and the average per capita sales of other wood products sowp(t): Journal of Industrial Ecology (12) The transfer function k6 9 is also described using a normal distribution of the lifetime, as described in equation (9d). Used Wood Management Used-wood management accounts for negligible stock of timber. Ṁ(9)(t) ⳱ 0 (l)(t) tR 72 冮k 0 t ⳱ (11) (13) Material and energy reuse of used wood are time-dependent fractions of the total used-wood generation: 冢 A9 3(t) ⳱ k9 3(t) • A4 9(t) 冣 (14) 冣 (15) Ⳮ A5 9(t) Ⳮ A6 9(t) A9 10 冢 (t) ⳱ k9 10(t) A4 9(t) Ⳮ A5 9(t) Ⳮ A6 9(t) where k9 3(t) and k9 10(t) are transfer coefficients. Paper The stock of paper held by the paper industry and by paper consumers is assumed to be constant. Ṁ(7)(t) ⳱ 0 Ṁ(8)(t) ⳱ 0 (16) (17) Paper sales are dependent on the population P(t) and average per capita paper sales sp(t): A7 8(t) ⳱ P(t) • sp(t) (18) Recycling paper depends on the used paper flow and the recycling rate k8 7 (t): A8 7(t) ⳱ k8 7(t) • A7 8(t) (19) RESEARCH AND ANALYSIS Lignin production is assumed to be proportional to the processed pulpwood. Used paper combusted to produce energy is also calculated with respective ratios: A7 10 (t) ⳱ k7 10(t) • A3 7(t) (20) A8 10 (t) ⳱ k8 10(t) • A7 8(t) (21) where k7 10(t) is the transfer coefficient for lignin production, and k8 10(t) is the transfer coefficient for energy production from used paper. Energy The timber stock held by the energy industry is assumed to be negligible. Ṁ(10)(t) ⳱ 0 A10 2(t) ⳱ efor(t) • A1 2(t) A10 3(t) ⳱ eti(t) • [A2 3(t) Ⳮ I3(t) Ⳮ A9 3(t)] (23) (24) Energy supply for heating buildings is modeled in XYLOIKOS with fuels (solid, liquid, or gas) plus solar panels. As the heated area of buildings equals in first approximation the gross floor area (Wüest and Gabathuler 1989), the total heat energy consumption of a building cohort can be calculated with the gross floor area D(l) bui(t) and the average heat energy index in building cohort l e(l) bui(t). A10 4(t) Ⳮ I4(t) (25) g 兺e (t) • D(l) l ⳱ 1, . . . , g bui (l) bui l⳱1 Energy supply from solar panels for each building birth cohort is calculated with the average global radiation in investigation region G(t), the efficiency factor of solar panels per building cohort g(l) sp , and the proportion of solar panel area and gross floor area per building cohort easp/D (t): (l) bui I4.l(t) g ⳱ 兺(D (l) bui l⳱1 (l) (t) • easp/D • G(t) • gSP ) l ⳱ 1, . . . , g (l) bui A10 7(t) ⳱ erp(t) • A8 7(t) Ⳮ enf(t) • A3 7(t) (27) Numerical Simulations Equations (1)–(27) must be solved numerically. All calculations were done using the simulation program SIMBOX (Baccini and Bader 1996). (22) Fuel energy consumption for the forestry and the timber industry are proportional to the amount of processed timber and their specific energy consumptions, efor(t) and eti(t). ⳱ Energy demand for the paper industry is dependent on the amount of paper recycled and new fibers processed, and on the energy indexes of paper recycling and new fiber-based paper production erp(t) and enf(t). (26) Data and Calibration Calibration means finding appropriate parameter functions to describe in an accurate way the historical development of timber use. The XYLOIKOS model was calibrated with data of the Swiss lowland region Kreuzung Schweizer Mittelland (KSM). This region was chosen for a case study in the research project SYNOIKOS,4 which was aimed at developing transdisciplinary methods for the design and planning process of densely populated areas (Baccini and Oswald 1998). The XYLOIKOS model was used in this project to evaluate different long-term scenarios for the restructuring of the forests and the buildings (Müller et al. 1998). The model was calibrated using data from 1900 to about 1997. Data for the period 1997 to 2100 were based on assumptions for scenarios. All timber flows were converted into dry matter equivalents. The model parameters were determined with linear and nonlinear regression of data sets. The primary data were obtained from literature or estimated, for example, using data drawn from similar regions. The most important primary data sources were • Forestry: National area statistics; historic forest-management plans with data about age structure, standing volume, and cuttings; local yield tables for spruce; historic data of age distribution in years 1888, 1920, and 1965 Müller et al., Long-term Timber Management Using MFA 73 RESEARCH AND ANALYSIS Figure 2a Calibration of parameter functions related to forestry and timber industry. The x-axis represents calendar years. The circles indicate measuring points between the years 1900 and 2000 used for the curve fitting. The values between the years 2000 and 2100 are the assumptions used for the standard scenario. Note: [inh] ⳱ inhabitants; [ ] ⳱ a unitless value; [ha] ⳱ hectare • Industry and waste management: National studies of industrial timber flows, including wood residues for recycling and thermal use; studies about cantonal and national used wood generation, recycling, and thermal use; a German study about specific energy consumption in the timber industry • Buildings: National population census reports (specified for communities) with data about population, number of households or apartments, floor area per apartment; studies of timber content in different buildings in a Swiss canton; three diploma theses involving field study of timber density in different building elements of demolition objects and new constructed buildings of different building types; national statistics for the lifetime of different building ele74 Journal of Industrial Ecology ments; a study of energy consumption of different building types • Paper: Statistics from the Swiss Paper and Cardboard Industry Association about national paper consumption, paper and lignin production, and use of used paper for recycling; a study of specific energy consumption at Swiss cellulose and paper manufactories The parameter functions are presented in figures 2a, 2b, and 2c. The circles indicate measuring points used for the calibration. This allows the reader to comprehend the differences in the availability of data and the need to use estimation. In general, the forest data were relatively comprehensive and had an error factor of 10% to 30%, whereas the data for the building stock RESEARCH AND ANALYSIS Figure 2b Calibration of parameter functions related to use and waste management. The x-axis represents calendar years, or, in the case of the plots in the third row, numbers of years. The circles indicate measuring points between the years 1900 and 2000 used for the curve fitting. The values between the years 2000 and 2100 are the assumptions used for the standard scenario. Note: [inh] ⳱ inhabitants; [ ] ⳱ a unitless value. were comparatively poor with a larger error factor of 20% to 40%. Validation and Sensitivity Analysis Where data were sufficient, the calculated values were compared with measured data. Such validation was used to understand the quality of the data and to adjust the parameter functions. All parameter functions were also varied individually in order to test their influence on all system variables. In this article, we illustrate the validation and sensitivity analysis with two examples. Validation of Wood Increment Increments for all forest birth cohorts were initially calculated with a constant site-quality Müller et al., Long-term Timber Management Using MFA 75 RESEARCH AND ANALYSIS Figure 2c Calibration of parameter functions related to energy. The x-axis represents calendar years. The circles indicate measuring points between the years 1900 and 2000 used for the curve fitting. The values between the years 2000 and 2100 are the assumptions used for the standard scenario. Note: [inh] ⳱ inhabitants; [ ] ⳱ a unitless value. index b ⳱ 22. The simulation results for the average overall increment showed a slightly decreasing increment during the twentieth century (figure 3). This can be explained by the extension of the rotation period from 80 to 120 years, because the increment is declining with increasing forest stand age. The calculated decrease contradicts data of the forest-management plans (circles in figure 3) that show an increase in volume increment. The difference between calculated and measured data can occur for different reasons: • Measuring errors in forestry are usually around 20% to 30% and are therefore unlikely to explain this difference. • Tree species are slightly changing from spruce to beech, which are not considered in the model. As beech has a lower volume 76 Journal of Industrial Ecology increment than spruce, we would expect to observe a decrease in increment, but not an increase. • An increase in site quality due to changing nitrogen emissions and increasing average temperature could have caused an increase in increment. The local yield tables, which were used as a basis for the simulation, do not reflect changing site qualities. Changing site qualities have been observed for different locations (Spiecker et al. 1996). The cause for divergence between measured and calculated data cannot be determined definitively. An increase in site quality seemed to be the most plausible reason. Therefore, the model was recalibrated with a time-dependent sitequality index. Nonlinear regression was used to calibrate the site-quality index in such a way that RESEARCH AND ANALYSIS Figure 3 Validation of the increment using data from local forest-management plans. The forest-management plans report an increase in increment, whereas calculations with a constant site quality lead to a decrease in increment. A time-dependent site quality was assumed to fit the reported increment data. calculated increments fit with the recorded increment data (figure 3). The calculated parameter function for the site-quality index b is shown in figure 2a. This simulation shows that forest site quality can be an important factor in timber production, which can be more significant than forestry internal management methods to increase productivity. The model does not give any explanation for the site-quality increase, however, because it uses an empirical function to characterize that quality. Sensitivity of Carpentry and Joinery Products Consumption Timber demand for carpentry and joinery products is calculated with the model equations of section 3, which use as input parameters the population (P(t)), the per capita gross floor area (Dbui(t)), the timber densities for carpentry and (l) joinery products (m(l) car(t), mjoi (t)), and the lifetime distributions for carpentry and joinery products (k4.l 9(t,t⬘), k5.l 9(t,t⬘)). The influence of timber density in buildings on timber demand is tested for three variants, distinguishing carpentry and joinery products (figure 4). All other parameters are kept the same as in figures 2a, 2b, and 2c. As carpentry and joinery products have different lifetimes (here assumed to be 100 Ⳳ 20 and 30 Ⳳ 10 yr, respectively), this example serves as well to test the influence of the lifetime on timber demand. The three variants are chosen according to the following concept: 1. Standard: This variant uses available data of timber density in buildings in the KSM region in the twentieth century. Although timber density was relatively high at the beginning of the twentieth century for both carpentry and joinery products (40 and 50 kg/m2, respectively), these densities have now both reached a value of about 10 kg/m 2 . The timber density in the twenty-first century is assumed to stay at the same level as at the end of the twentieth century. 2. Timber construction: Timber content in buildings is assumed constant over the whole simulation period. The values (40 and 60 kg/m2) are based on modern timber construction, which is comparable to classical Scandinavian building types. 3. Stone construction: Timber content is also kept constant over the entire simulation period, and represents typical stone constructions such as Mediterranean buildings, with a timber density of 5 and 5 kg/m2. The simulation of these three variants (figure 5) revealed three interesting phenomena: 1. The standard variant shows a relatively constant timber demand for carpentry and joinery products which can be verified using data for timber end use. Although the building inventory has increased by a factor of 5 in the last 100 years, carpentry and joinery timber sales are still in the same order of magnitude as a century ago. Decreasing timber densities in buildings have compensated for this development. The smooth development of the timber demand for building construction conceals Müller et al., Long-term Timber Management Using MFA 77 RESEARCH AND ANALYSIS (l) Figure 4 Calibration of parameters m(l)car (t) and mjoi (t) for the three variants. All other parameters are identical to the standard scenario as defined in figures 2a, 2b, and 2c. these significant underlying changes. Assuming similar changes of these factors for the future could lead to significant changes in timber demand, especially if the different factors are not offsetting one another. 2. As the timber content in buildings is low compared to the overall use of construction materials, relatively small changes in the building composition can have a significant impact on timber demand. A consequent realization of a green building policy, as can be deduced from LCA studies of construction materials,5 using timber instead of concrete or steel would lead to a sixfold increase in timber demand. Such a policy could only be accomplished on the basis of significant timber imports. We calculated that the degree of self-sufficiency in the KSM region would decrease from 80% to 12%. 3. The timber and stone construction variants show very different behaviors of carpentry and joinery timber demands, even 78 Journal of Industrial Ecology though timber density is kept constant for both products. Whereas joinery wood demand stabilizes quickly at a high level, the demand for carpentry wood shows a strong oscillation. This effect can be explained with the assumed stabilization of the building stock and the different product lifetimes. This effect could not yet be verified with KSM data because the transition from growth to stabilization is still in its initial phase. An important consideration is that the data available to determine the average timber content are poor. The accuracy of the calculated timber demand is therefore limited. The poor data do not affect the general principles of mass conservation leading to the phenomena described above, however. This parameter variation shows the importance of a better understanding of the timber content and the lifetime of products, and how they are influenced by different economic, social, and political factors. RESEARCH AND ANALYSIS Figure 5 Calculated wood demand for carpentry and joinery products (A3 4 (t) and A3 5 (t)) for standard scenario as defined in figures 2a, 2b, and 2c with varying parameters of wood density in buildings as defined in figure 4. Transition Scenarios for a Solar Energy Supply Motivation In this section, we explore the potential and limits of the KSM region to use domestic timber as a source for timber construction, paper and cardboard production, and energy supply. These future roles of timber are discussed under the premise that during the twenty-first century, the present fossil fuels-based energy supply is transformed into an energy supply that is based on renewable energy, for example, from solar panels, or photovoltaic or biomass energy sources. At present, the dominant energy sources for building heating are fossil fuels, mainly heating oil and natural gas. Firewood contributes about 5% to building heating in Switzerland (BfE 2002). The potential of firewood to substitute for heating oil and natural gas is limited by the high energy consumption of the present building stock. If all buildings constructed in the future follow a low-energy (high-efficiency) standard, however, this substitution potential could gradually increase as the present building stock is exchanged. Such an option in turn could lead to a trade-off between the use of wood as a construction material and as a fuel. But it would also open new options for timber down-cycling, for example, if used wood from demolition is used for energy production. A scenario technique was used to characterize a building type for the twenty-first century which would allow the region to balance timber production and consumption in a transition to a building energy supply that is based exclusively on domestic renewable sources of wood and solar panels. Choice of Indicators The model calculates all system variables for each scenario. Discussing all system variables Müller et al., Long-term Timber Management Using MFA 79 RESEARCH AND ANALYSIS would not only exceed the scope of a journal article, but would also provide information that is not specific enough to interpret the results. For this reason, we defined four groups of indicators that condense this information according to the purpose of the chosen scenarios. The modeling results are discussed with four groups of indicators that help us to interpret the modeling results. All indicators are calculated by the system variables. 1. Degree of self-sufficiency (DSS) with timber and energy: A DSS less than 1 means net imports, indicating possible shortages. A DSS greater than 1 means net exports, indicating possible surpluses.6 2. Building energy: Energy consumption for building heating, divided into fossil fuels, firewood, and solar panels. Other energy sources such as wind or geothermal energy are not included in the present version of XYLOIKOS. 3. Timber stocks per person in forests and buildings: Indicate resource stocks for future use. 4. Use of construction wood, interior wood, and total logwood in the region: Data are quoted as total flows per region, to serve as indicators for the local industry. Standard Scenario The standard scenario assumes a continuation of the present strategies (according to figures 2a, 2b, and 2c). The increase in site quality is assumed to stabilize in the twenty-first century. The building lifetime is 100 Ⳳ 20 years for all birth cohorts. All buildings constructed after 2000 perform at an average heat energy consumption standard of 300 MJ/m2/yr, which is the present standard for new buildings. The simulation results of the standard scenario are illustrated in figure 6. The degree of net self-sufficiency (DSS) for timber decreases during the period of 1900–1980 from about 1.2 to 0.7. This decrease is mainly because of an increase in imports of pulp for paper production. After 1980, the DSS for timber increases once again during the entire twenty-first century. This means that a continuation of the present strategy would lead 80 Journal of Industrial Ecology to increasing overproduction in the future, even though all parameters are stabilized in the twenty-first century. The increase in DSS can be explained by the decreasing use of timber as a consequence of the assumed replacement of buildings with high timber densities by buildings with lower timber densities (from 90 kg/m2 to 20 kg/m2, respectively). Also, the increase in site quality in the second half of the twentieth century leads to a delayed increase in harvest, which will become evident in the twenty-first century. This delay is determined by the lifetime of the trees. The DSS for energy also decreases until 1980 and reincreases slightly in the twenty-first century. These changes are mainly due to the dynamics of the building stock. After a strong increase in fossil fuel use in the second half of the twentieth century, a maximum is achieved around 2000, and it decreases by 50% in the twenty-first century without specific measures being taken (figure 6). This reduction in fossil fuel use is a vintage effect and can be traced to the replacement of the existing building inventory by buildings of the type found in 1995. Nondependency on fossil fuels in the twenty-first century is not possible in such a scenario. Timber stocks per inhabitant, in forest and building inventories, are almost constant over the whole period under investigation (figure 6). Population growth is compensated for by an increase in standing timber stock per area as a consequence of the extension of the rotation period. The increasing building stock per person is compensated for by a reduction in the average building timber content. Logwood (roundwood) sales increase in the second half of the twentieth century, gradually decreasing toward the end of the century (figure 6). Lower sales of logwood in the first half of the twentieth century are a result of an extension of the rotation period from 80 years to 120 years. The increase seen during the second half of the twentieth century onward is mainly caused by an increase in site quality. The sales of pulpwood peak in the second half of the twentieth century, and then stabilize at a lower level. This reduction is due to increased paper recycling. Sales of construction wood in the carpentry sector and interior wood in the joinery sector are increasing in the growing phase for the building stock, even RESEARCH AND ANALYSIS Figure 6 Standard scenario. Forest policy and building policy do not change. All future buildings perform at the standard of 1995 (300 MJ/m2/yr). though average timber content in buildings is decreasing. Whereas the use of construction wood falls as soon as the building stock stabilizes, the use of interior wood stabilizes at a high level. This can be explained by the difference in lifetimes of joinery and carpentry wood products. Restructuring Scenario This scenario aims at restructuring the timber-management system in such a way that the heating energy consumption of buildings can be accomplished exclusively with renewable domestic resources, while striving for a balance of production and consumption. The scenario assumes that the present building stock is exchanged between 2000 and 2050 with a highly energy-efficient building stock. The new buildings use as heating energy sources a combination of wood and solar panels on the available roof area. Given the regional climatic conditions and realistic energy standards, these solar panels provide sufficient hot water and room heat from about April to September, but current technology does not permit storage of the summer surplus for use in winter. For this reason, firewood is used in combination with solar panels in this scenario. We further assume that energetic use of used wood as fuelwood is increasing from 15% to 50%. This would involve appropriate incineration technology to prevent air pollution, as it is achieved with some waste incineration plants in Switzerland, which are combined with a heat distribution system. The restructuring scenario is calculated for building types with different timber densities and energy performances, in order to identify combinations that are balancing domestic timber production and consumption. This restructuring scenario assumes a timber density of the new buildings equal to the buildings constructed at present. Assuming this timber density in buildings, the threshold for the average building energy performance in this region is identified to be 130 MJ/m2/yr. The level of this heat energy index is less than half of the present business Müller et al., Long-term Timber Management Using MFA 81 RESEARCH AND ANALYSIS standard, but this level can be achieved with building technology currently available. Insulation measures to lower energy consumption are not sufficient to reach this level and are not considered in the model. The specific parameters of this scenario are defined in figure 7. All other parameters are identical with the standard scenario (figures 2a, 2b, and 2c). In the restructuring scenario (figure 8), DSS for timber levels off at about the present level. The overproduction of the standard scenario could be avoided, but hinterland use could not be reduced in this scenario where hinterland denotes all nondomestic areas/functions required to sustain the metabolism of a certain region. The DSS for energy would increase from about 5% to about 70%. The use of fossil fuels to heat buildings is constantly being reduced in the first half of the twenty-first century (figure 8). Complete nondependency on fossil fuels is achieved in the middle of the twenty-first century, when firewood (two-thirds) and solar panels (one-third) have entirely substituted for fuel oil in building heating. The per capita timber stock in forest and building inventory are not influenced signifi- cantly (figure 8). The potential for future resource use are not diminished in such a restructuring scenario. The sales of construction wood in the carpentry sector during the restructuring phase would be stabilized at about the present level, compared to the decrease in the standard scenario (figure 8). The influence on the sales of joinery wood is smaller because of the shorter product lifetime. Discussion and Conclusions MFA models can be used to describe timber production and consumption in physical terms, and to develop scenarios for their coordination. Both production of timber and generation of used wood as a potential secondary resource are characterized by delays of several decades, whereas consumption is determined largely by a choice of building technology with immediate effects. A coordination of production and consumption therefore needs to integrate long- and short-term strategies. Offsetting and Accumulating Effects Although timber production and consumption have been coordinated very little in the Figure 7 Standard scenario. Forest policy and building policy do not change. All future buildings perform at the standard of 1995 (300 MJ/m2/yr). 82 Journal of Industrial Ecology RESEARCH AND ANALYSIS Figure 8 Restructuring scenario. Between 2000 and 2050, all buildings are replaced by new buildings that perform at a low energy standard of 130 MJ/m2/yr. KSM region, consumption seems to have adapted to production to some extent. Model simulations showed that the DSS for timber decreased in the period of 1900–1980 from 1.2 to 0.7, mainly as a result of increased imports of pulp. Since 1980, the DSS has been increasing again. The changes in DSS are relatively smooth compared to the significant changes of external factors. This relative balance of production and consumption is achieved because many of these external factors compensated for one another. Wood increment slightly increased during the twentieth century, even though the rotation period was extended in this period from 80 to 120 years, which has a decreasing effect on the forest growth. According to modeling simulations, increment would have increased by 60% to 70% if no rotation-period extension took place. The data available suggest that this increase in increment is caused by an increase in site quality. A site-quality increase could have been caused by environmental changes such as nitrogen emissions or increase in average temperature. If the available data are accurate, environmental changes had a significantly stronger impact on quantitative timber production than did forestry internal measures. In order to coordinate production and consumption, it is therefore important to understand in more detail the extent and causes of site-quality changes for different locations and tree species. Compared to the forests, changes in the building stock were more distinct. The total gross floor area of the KSM building stock increased in the twentieth century by a factor of 5. This growth, however, coincided with a decrease in average timber content in the buildings by a factor of 4.5. Because of the coincidence of these two factors and their opposing effect on timber use, carpentry and joinery timber consumption were relatively constant. The influence of the building inventory’s stock dynamics has not yet become evident. Müller et al., Long-term Timber Management Using MFA 83 RESEARCH AND ANALYSIS Future Roles of Timber Model simulations further showed that a continuation of the present strategies would lead to further increases in DSS, which means increasing overproduction. An effective measure to avoid overproduction would be to increase the timber density in new buildings. A scenario of timber construction, as suggested on the basis of lifecycle assessment, could not be accomplished with domestic timber and would cause a significant use of hinterland. This is even true for a scenario in which the entire building stock is gradually coming to a steady state, because an increasing number of old buildings will need to be replaced. Another possibility to balance production and consumption is to gradually exchange the present building stock in the twenty-first century with new buildings that use exclusively domestic wood and solar panels on the roofs for heating energy. Calculations showed that the DSS could be stabilized on the present level if the new buildings have a timber density similar to present new buildings, but have an energy consumption per gross floor area that does not exceed 130 MJ/ m2/yr. Modern energy-saving buildings achieve this value with presently available technology. The role of wood as a fuel has its largest potential in the combustion of used wood. The availability of this source fluctuates with changes in the building inventory, however. Coordinating Production and Consumption A coordination of timber production and consumption can only be achieved on the basis of information about the entire timber chain. This study revealed that the long-term timber supply is mainly influenced by the dynamics of the timber stocks in forests and buildings. Although changes in production are relatively smooth and occur with a long and predictable delay, changes in consumption may occur to a greater extent, more abruptly, and with less predictability. Forests have an unused capacity to absorb smaller fluctuations in timber demand. Their potential to react to larger fluctuations is limited, however, because of the long production 84 Journal of Industrial Ecology time. The most effective measure to avoid large fluctuations is to adapt the timber density in new buildings. This is especially true in regions with a large building stock and a low percentage of timber in construction. Buildings can therefore be regarded as the motor of the timber cycle. They have a potential to cause the most significant fluctuations in timber demand and in used-wood generation. At the same time, they are the weakest link in the timber chain regarding data availability and understanding of the dynamics. The accuracy of the timber chain model is limited mainly by the poor information about the timber inventory. Method The dynamics of the stocks are usually neglected in conventional economic studies as well as in life-cycle-oriented studies. The MFA methodology allowed us to model the timber chain and its stocks in forests and buildings with the same concepts. The strength of the model lies in its explanatory power, because it is mass-balance consistent and considers all relevant processes of the timber chain. The model is therefore suited for long-term historical and long-term scenario analyses. Its accuracy, especially for short-term changes, is limited, however, because data availability is limited and because the model does not consider price mechanisms. Further research is required to explore possibilities to combine the strengths of economic and material flow-based approaches. Acknowledgments We wish to thank to Prof. Dr. Hans Rudolf Heinimann from ETH Zurich for providing access to relevant forestry-related resources, Prof. Dr. Margot Weijnen from TU Delft for her support of this publication within the frame of the Delft Interfaculty Research Program, “Design and Management of Infrastructures,” and Miranda Aldham-Breary for language editing support. Notes 1. Editor’s note: For a discussion of the strengths and weaknesses of approaches to enlarging the scope RESEARCH AND ANALYSIS 2. 3. 4. 5. 6. of LCA models, see the Journal of Industrial Ecology article by Udo de Haes and colleagues (2004). “Kreuzung Schweizer Mittelland” is the German expression for “Crossing Swiss Lowlands.” As the name indicates, this region is located in the intersection of the national highways N1 (eastwest) and N2 (north-south) between Olten, Oensingen, and Zofingen. Side quality is the yield potential maximum quantity of material of a given species that an area is capable of producing under normal conditions, so long as the factors of the locality remain unchanged. SYNOIKOS was a 3-year project carried out by architects, urban planners, scientists, engineers, and economists, aimed at developing new methods for the long-term restructuring of urban regions, including buildings, road networks, agricultural areas and forests, among others. The application of XYLOIKOS as a support tool for urban design is described by Müller and colleagues (1998). LCA studies show that the environmental impacts of wood are lower compared with other construction materials such as concrete or steel (Schari-Rod and Welling 2002). The KSM region is for many reasons too small to claim self-sufficiency. Although construction timber is often used in the production region, fibers and paper products are often shipped over long distances. It is therefore not possible to find one scale for self-sufficiency of all products. An answer to the scale question would imply a multiscale analysis, similar to the multiscale analysis of copper by Graedel and colleagues (2003). The units of such a multiscale system would be regions with imports and exports, as reflected with the DSS in this model. The basic principles and mechanisms of coordinating production and consumption remain the same for different scales. References Adams, D. M. 1985. 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Müller is a postdoctoral fellow at the School of Forestry & Environmental Studies at Yale University in New Haven, Connecticut, USA. HansPeter Bader is a senior research scientist at the Swiss Federal Institute for Environmental Science and Technology (EAWAG) in Dübendorf, Switzerland. Peter Baccini is the Chair of Resource and Waste Management at the Swiss Federal Institute of Technology (ETH) in Zurich, Switzerland. Müller et al., Long-term Timber Management Using MFA 87
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