International Forestry Review Vol.11(3), 2009 375 Utilizing geographic information system (GIS) to determine optimum forest cover for minimizing runoff in a degraded watershed in Jamaica1 O. B. EVELYN Forestry Department, 173 Constant Spring Road, Kingston 8, Jamaica Email: [email protected] SUMMARY Optimum forest cover is not a new concept. It was part of the suggested policies to achieve sustainable forest management at a 1996 meeting of the UN/FAO Intergovernmental Panel on Forests. It has not been actively pursued by many countries however, but since deforestation is being singled out as one of the major contributing factors to degrading global climatic conditions, this concept may take on new meaning. This research devised a methodology for determining the optimum forest cover for a degraded watershed in south-central Jamaica. The model suggested a spatial pattern in the upper portions of the watershed which increased the forest cover from 16.76 % to 37.47 %. This significantly reduced runoff where the forest cover was optimized and simulated in a hydrological model. This technique will give direction to forest management and conservation in Jamaica and will form part of the decision support system for the country’s planners. Keywords: optimum forest cover, watershed rehabilitation, run-off Utilisation du Système d’information géographique (GIS) pour déterminer le couvert forestier optimal afin de minimiser l’écoulement dans un bassin versant dégradé en Jamaique. O. B. Evelyn Le couvert forestier optimal n’est pas un nouveau concept. Il faisait partie de politiques suggérées pour parvenir à une gestion forestière durable lors d’une réunion du corps intergouvernemental de l’ONU/FAO pour les forêts en 1996. Peu de pays les ont toutefois poursuivies, mais, comme la déforestation est à présent présentée comme l’un des facteurs majeurs contribuant aux conditions climatiques globales en dégradation, il se peut que le concept prenne une nouvelle signification. Cette recherche a développé une méthodologie pour déterminer le couvert forestier optimal dans un bassin versant dégradé dans la Jamaique centrale du sud. Le modèle suggérait une organisation spatiale dans les portions du haut du bassin versant qui étendait le couvert forestier de 16.76% à 37.47%. Cela réduisait sensiblement l’écoulement quand le couvert forestier était optimisé et simulé dans un modèle hydrologique. Cette technique va donner une direction à la gestion et à la conservation forestière en Jamaique et va tenir un rôle dans le système d’aide aux prises de décisions pour les planificateurs du pays. Utilización del sistema de información geográfica (GIS) en aras de determinar la cobertura forestal ideal para minimizar la escorrentía de superficie en una línea divisoria de aguas degradada en Jamaica. O. B. EVELYN El concepto de la cobertura forestal ideal no es nada nuevo, ya que formó parte de las políticas propuestas para lograr la gestión forestal sostenible en una reunión del Panel Intergubernamental sobre los Bosques de la ONU/FAO en 1996. Pocos países han proseguido esta política, sin embargo, pero el concepto puede adquirir un mayor significado ahora que la deforestación ha sido señalada como uno de los factores que más contribuyen a la degradación de las condiciones climáticas mundiales. Esta investigación concibió una metodología para determinar la cobertura forestal ideal para una línea divisoria de aguas degradada en la zona sudcentral de Jamaica, proponiendo un modelo espacial en las zonas superiores de la línea divisoria de aguas que aumentó la cobertura forestal desde un 16.76 % hasta un 37.47 %, lo cual redujo la escorrentía de superficie de forma significativa cuando la cobertura forestal fue optimizada y simulada en un modelo hidrológico. Esta técnica proporcionará pautas para la gestión forestal y la conservación en Jamaica, y formará parte del sistema de apoyo para la toma de decisiones en la planificación nacional. 1 This article is a condensed version of the research project from the unpublished thesis submitted by the author in partial fulfilment of the requirements for the degree of Master of Science in Geographic Information, City University, London, UK, (2007). 376 O.B. Evelyn INTRODUCTION Watershed degradation is one of the most complex environmental problems facing nations globally. It threatens the livelihood of millions of people, especially in Third World countries. Watershed degradation can be viewed as a loss of value over time. Human decision-making processes, influenced by bio-physical and socio-economic factors have been identified as the main drivers. Some of these anthropogenic activities have resulted in the loss of habitats for important flora and fauna, increased local flooding which sometimes results in the loss of human life and property, reduced water quantity and quality in rivers and streams, and destructive climate change. Equally, watershed rehabilitation is a complex and challenging problem (Ziemer 1981, Shaojun et al. 2004). Rehabilitation usually requires changes in human habits and customs which take time and are sometimes resisted. Oftentimes, compromises are necessary in order to obtain a near optimal solution (Wang et al. 2004). Sometimes conditions are so critical that countries are forced to implement rehabilitation strategies through government policies and legislation. This project used existing land use optimization and hydrological models coupled with Geographic Information System (GIS) to optimize forest cover on a degraded watershed in Jamaica. Figure 1 shows the modelling process flow. FIGURE 1 Model process flow The objectives are summarized as follows: • to devise a methodology to determine the optimum forest cover for a degraded watershed using GIS software, • to identify and use existing land use optimization techniques in the development of the methodology, • to reduce soil loss by erosion, • to evaluate the spatial impacts of the derived forest land use pattern on runoff, • to identify and use existing GIS-based distributed hydrological model in determining the effects on runoff, • to identify and prioritise target areas for reforestation and conservation, and • to produce guidelines for forest conservation and planning. During the 1980s and the 1990s the extent to which deforestation was taking place in Jamaica became quite acute. The country was experiencing several environmental disasters and deforestation was blamed for some of these events. One such event occurred in 1985 when it was reported that “rains associated with hurricane Kate caused flooding in the central parishes of St Ann, Clarendon, Manchester and St Elizabeth. Five persons lost their lives, and some 60,000 farming families in southern Clarendon were affected” (IDB 2006). This precipitated calls for policies and measures to combat deforestation (Eyre 1986, Eyre 1987). The country had lost 25% of its forests between the years 1491 and 2000 (Evelyn and Camirand 2003) and a National Forest Management and Conservation Plan (NFMCP) was one of the measures being put in place to address this problem. During the preparation of the NFMCP the question was raised as to what should be the optimum forest cover for the island. The answer was critical to the determination of a forest cover target and the restoration and conservation strategies necessary to achieve this. This question was never answered because no research had been done in Jamaica on this subject. Optimum forest cover was strongly suggested as part of the policies necessary for sustainable forest management in many countries at a UN/FAO forum on The Underlying Causes of Deforestation and Forest Degradation in 1996 (FAO 1996a). Delegates at the forum argued that “not all changes in forest cover are necessarily harmful, (but) it is only possible to decide what changes are or are not harmful against a background of national policies that make a best judgement of optimum forest cover”. The forum concluded with a call to the delegates to include “in (their) national forest and land-use plans... targets on the optimum forest cover and utilization”. Yeo et al. (2003) define optimization as “a procedure for finding the best or optimal solution of a problem that can be formulated mathematically with decision variables, an objective function and constraints.” Forest optimization could therefore be defined as finding the most desirable forest distribution pattern for a region while taking into consideration, among other things, the physical, Utilizing GIS for minimizing runoff in a watershed in Jamaica environmental, social and economic constraints. Several land use optimization models are in use and are classified according to the methodologies used for simulating land use allocation (Briassoulis 1999, Agarwal et al. 2001, Parker et al. 2002, Verburg et al. 2004). This project sought to determine optimal forest land use patterns, therefore only one set of models was considered – the optimization models. Briassoulis (1999) stated that these models are making significant contribution to land use analysis and planning and have helped to solve many issues relating to sustainable development worldwide. She identified five principal categories according to the particular mathematical techniques which they employed. These categories are: a. linear programming (LP) models b. dynamic programming (DP) models c. goal programming, hierarchical programming, linear and quadratic assignment, and nonlinear programming (GP/HP/LQA/NLP) models d. utility maximization (UM) models e. Multi-Objective/Multi-Criteria Decision Making (MODM/MCDM) models Successful application of some of these models include Shukla et al. (2001), who demonstrated the integration of LP modelling techniques with GIS to solve a complex land transformation problem, Hopkins et al. (1978 cited in Briassoulis, 1999) and Okumu et al. (1999) who applied DP techniques in making a sequence of interrelated land use decisions, Shaikh et al. (2003) who used “an empirical random utility maximization model to examine factors affecting farmers’ decisions to accept a tree-planting program on their marginal land and Wang et al. (2004) who successfully employed the MODM/MCDM model to allocate future land uses in Lake Erhai basin, China. Briassoulis (1999) observed that MODM/MCDM optimization modelling “involves the combination of optimization techniques with elaborate, multidimensional techniques of land use assessment/evaluation in a spatially explicit modelling environment”. Grabaum and Meyer (1998) in applying this model took the approach of imposing constraints on a single objective function using goals derived from a GIS landscape analysis and general aims. Generally, there are two classes of hydrological models. These are the lumped and the distributed models (Ward and Robinson 2000). The former represents the collective effects of land use changes in a watershed and is not spatially explicit while the latter represents the spatial variability of factors that control runoff, thus improving the predictability of hydrologic processes. Hydrologic responses to forest cover changes in a watershed have been studied by several researchers. Burt and Swank (2002), for example, reported that in a paired basin experiment at the Coweeta Hydrologic Laboratory in North Carolina, stream flow increased significantly (40%) after the forest in one of the watersheds was cleared and then decreased steadily during regrowth. Similar results have also been found elsewhere by other researchers (e.g. Jones and Post 2004). Two other studies of interest are Yeo et al. (2003), who 377 integrated a GIS-based distributed hydrological model and a GIS-based land-use model to demonstrate that by optimizing land use patterns in a watershed, a reduction (15-20%) in peak runoff rates could be achieved with a consequential decrease in nonpoint source pollution. Shrestha (2003), in a different approach applied a semi-distributed hydrologic model to evaluate runoff changes caused by land use patterns in a watershed in the Kathmandu Valley basin in Nepal. INTRODUCTION TO THE STUDY AREA For management purposes, Jamaica is divided into twenty six (26) Watershed Management Units (WMUs). Each WMU is based on the drainage system of the major river or stream in the area and is named according to either the former or the latter. The Rio Minho River is the major river in the Rio Minho Watershed Management Unit and it drains to the sea. For this study, the Rio Minho Watershed is the drainage system of the Rio Minho River within the Rio Minho WMU (Figure 2). This system has an area of 522.3 km2. The Rio Minho River has three major tributaries: the Thomas, Pindars and Rock Rivers. These tributaries have steep gradients hence run-off is of short duration and during the dry season, flow is significantly reduced. The upper north-eastern portions of the watershed consist of Basal FIGURE 2 The Rio Minho Watershed 378 O.B. Evelyn Aquiclude while the middle is mostly Limestone Aquifer. The southern portions are mainly Alluvium Aquifer. The average annual rainfall is 1 530mm , with a high of more than 1 780mm occurring in the mountainous areas and the limestone plateau in the North and a low of 1 000mm on the low alluvial plains. Soils in the mountainous areas consist manly of shales, conglomerates and igneous rocks. These soils usually occur on steep slopes, are lithosolic, well drained, shallow and easily eroded. Soils on the limestone plateau have slow internal drainage while soils on the alluvial plains are very fertile and capable of intensive use. The watershed falls within the parish of Clarendon, one of the 14 parishes in Jamaica. Clarendon is one of the largest parishes with an area of 1 196.3 km2 and had a population of 236 995 in 2001. It is estimated that the population is growing at a rate of 1.2% per annum. In 1997, the Natural Resources Conservation Authority (NRCA) in its Jamaica: State of the Environment Report (NRCA 1997) considered most of the upper portions of the Rio Minho WMU to be moderately to severely degraded (Figure 3). This was attributed to the intense hillside agricultural practices taking place there. FOREST OPTIMIZATION METHODOLOGY The technique of Grabaum and Meyer (1998) was modified and adopted for the land use optimization modelling. The techniques consists of two major parts: Use of GIS software to assess the data for the land-use alternatives then using the results from this process as input to an optimization model to solve for the optimal forest land-use pattern as measured by the objective function, subject to the necessary constraints. Multi-Objective/Multi-Criteria Decision Making optimization technique was used. This was chosen because FAO pointed out that “the specification of a single objective function does not adequately reflect the preferences of decision-makers, which are of a multi-objective nature in many practical problems of land resources optimization” (FAO 1996b). The technique of Shukla et al. (2001) was adopted to set up the optimisation model. The software chosen was Microsoft Excel Solver (Solver) add-in. The structure of the optimization model is outlined in Table 1. Present Land use Assessments The Jamaican Forestry Department developed a standard broad classification system for land use/cover for the Island when satellite imagery was used (Table 2). These were further broken down into finer details when aerial photographs were used (Camirand and Evelyn 2003). Using IKONOS imagery, it was determined that in 2001 16.76% of the Rio Minho watershed was in Forest, 35.28% in Mixed Forest and 47.96% was Non-Forest (Figure 4 and Table 3). One of the goals of this project was to identify and target areas for forests conservation. The land use assessment therefore suggested the conservation of all areas that are presently classified as Forest (8 753.7 ha). The Mixed and Non Forest areas that were degraded will be the only areas to be analysed through the assessments outlines below with a view to convert them to Forest. However, residential areas and water bodies would remain unchanged. The Plantations (PC) areas in the lowlands are export crops such as sugar cane and banana. These fertile lands are FIGURE 3 Conditions of the Watershed Management Units in the 1990s Utilizing GIS for minimizing runoff in a watershed in Jamaica TABLE 1 Structure of the Optimization Model Maximize forest cover Objectives Minimize - soil loss (erosion) - runoff -ground water loss -agricultural production loss Constrains - land availability - land capability - urban/industria - slope - soil type/depth - ecological reserved by the government of Jamaican for economic reasons and would not normally be allowed to be converted to forest. The suitability of lands for conversion will therefore depend on the sociological, economical or biophysical interests. Assessment of Potential Forest Land Use Land capability classification is the first step towards proper land use (UNDP/FAO 1973). Slope is considered the most important factor in determining land capability classification because severe erosion from cultivated slopes is a major watershed problem. Camirand and Evelyn (2003) in a review of the land classification systems that have been 379 developed in Jamaica since 1954 recommended a scheme which used slope and soil depth as the two most important variables for the classification of suitable lands for forest development, conservation and management. Guidelines for the development of the system are outlined in Table 4. To create a spatial GIS layer following the guidelines outlined in Table 4, the required datasets are a digital elevation model (DEM) and a soil layer. The process flow is outlined in Figure 5. This analysis was done using ArcGISTM and an area distribution by land use classes was calculated (Figure 6 and Table 5). The analysis identified several areas which could potentially be converted to Forest. These areas would mainly consist of those areas classified as protective forest for watershed management – Class 7 (FP) that are not already under Forest cover (or residential). The analysis showed that 3,128.40 hectares from the Mixed and Non-Forest areas had potential for conversion. Assessment of Potential Soil Erosion Several methods are available for assessing erosion due to water (FAO 1985). The main purpose of these soil-loss equations is to guide decision makers in soil conservation TABLE 2 Broad land use/cover types for the island. Type (Code) Definition Forest ( > 75 %, Minimum unit: 25 ha ) Closed primary forest with broadleaf trees at least 5 m tall and crowns interlocking, with Closed Broadleaf (PF) minimal human disturbance Disturbed broadleaf forest with broadleaf trees at least 5 m tall and species-indicators of Disturbed Broadleaf (SF) disturbance such as Cecropia peltata (trumpet tree) Bamboo (BB) Bambusa vulgaris (bamboo brakes) on the lower shale hills (disturbed forest) Open natural woodland or forest with trees at least 5 m tall and crowns not in contact, in drier Tall Open Dry (WL) part of Jamaica with species-indicators such as Bursera simaruba (red birch) Open scrub, shrub, bush or brushland with trees or shrubs 1-5 m tall and crowns not in Short Open Dry (SL) contact, in drier part of Jamaica with species-indicators such as Prosopis juliflora (cashaw) or Stenocereus hystrix (columnar cactus) Edaphic forest (areas with brackish water) composed of trees with stilt roots or pneumatophores, Mangrove (MG) species-indicators such as Rhizophora mangle (red mangrove) Mixed Forest Disturbed Broadleaf Forest and >50% Disturbed Broadleaf forest; >25% fields Fields (SC) Bamboo and Disturbed Broadleaf >50% bamboo; >25% Disturbed Broadleaf forest Forest (BF) Bamboo and Fields (BC) >50% bamboo; >25% fields Fields and Disturbed Broadleaf >50% fields; >25% Disturbed Broadleaf forest Forest (CS) Bauxite Extraction and Disturbed >50% bauxite extraction; >25% Disturbed Broadleaf forest Broadleaf Forest (BS) Non Forest Plantations (PC) Tree crops, shrub crops like sugar cane, bananas, citrus and coconuts Fields (FC) Herbaceous crops, fallow, cultivated grass/legumes Water Bodies (WA) Lakes, rivers Buildings and Other Infrastructure Buildings and other constructed features such as airstrips, quarries, etc. (BA) 380 O.B. Evelyn FIGURE 4 2001 land use map of Rio Minho Watershed Four primary GIS data layers are required to develop the RUSLE factors. These are a rainfall, a soil type coverage, a DEM and a land use layer, (Figure 7). Each factor in the RUSLE is derived as follows: R-Factor The R factor is a summation of the various properties of rainfall including intensity, duration and amount. It is computed using rainfall energy and the maximum 30 minute intensity. The equation for R can be written as follows (Camirand 2005): R= ∑EI30 /100. Where, EI is “the erosion index for a given storm (and) is a product of the kinetic energy of the falling raindrops and its maximum 30 minute intensity. The sum of these EI values over a year divided by 100 gives the annual R factor”3. Camirand (2005), after reviewing past calculations of R-Factors for several locations in Jamaica, plotted these factors against mean annual rainfall which resulted in a high correlation (R2 = 0.8113). However, when compared against similar work done in the United States, Australia and Puerto Rico, he concluded that his calculations were too high. He attributed the higher values to too few years of measurements. The Puerto Rican model was therefore adopted for Jamaica and used to successfully calculate the R-Factor for the Buff Bay/Pencar Watershed Management Unit in Jamaica. The Puerto Rican equation is given as (Del Mar López et al. 1998): planning. For this assessment, the Revised Universal Soil Loss Equation (RUSLE) was used (Van Remortel et al. 2001). The equation incorporates six factors which influence soil erosion as outlined by Wischmeier and Smith (1978 cited in RUSLEFAC 1997); A = R x K x L x S x C x P, where, A = average annual soil loss rate (in tonnes per hectare per year); R = rainfall erosivity factor (MJ-mm/ha-h-y); K = soil erodibility factor (t-ha-h/ha-MJ-mm); L and S = the slope length and gradient factors, (dimensionless); C = crop management factor or vegetative cover (dimensionless) and P = erosion control practice factor (dimensionless). The revision replaces two factors: the vegetative cover (C) and control practice (P), with a vegetation management factor (VM) which is defined as the “…ratio of soil loss from land managed under specific conditions to that from the fallow condition on which the factor K is evaluated”2. 2 3 R = -11.06 + 0.2629 * P (R2 = 0.9511) Where, P = mean annual precipitation in mm K-Factor The K-Factor is “the rate of soil loss per unit area as measured on a 3.7m x 22m plot. ‘K’ is a quantitative measure of a soil’s inherent susceptibility/resistance to erosion and the soil’s influence on runoff amount and rate” (RUSLEFAC, 1997). The K value can be calculated for a specific soil, using the following equation (Wischmeier et al. (1969 cited in Camirand, 2005)): 100 K= 2.1 M1.14 (10-4) (12 - a) + 3.25(b - 2) + 2.5(c - 3) where: M = (silt (%) + very fine sand (%)) x (100 - percent clay) a = percent organic matter b = the soil structure code used in soil classification c = profile permeability class. Wischmeier et al. (1971) cautioned however that the formula http://www.fao.org/docrep/006/T0099E/T0099e01.htm (7 January 2007). http://pasture.ecn.purdue.edu/~sedspec/sedspec/doc/usleapp.doc (7 January 2007). Utilizing GIS for minimizing runoff in a watershed in Jamaica 381 TABLE 3 Area of land use types in the Rio Minho Watershed (2001) Type (Code) Forest ( > 75 %, Minimum unit: 25 ha ) Closed Broadleaf (PF) Disturbed Broadleaf (SF) Bamboo (BB) Tall Open Dry (WL) Short Open Dry (SL) Mangrove (MG) Total (Ha) % Sub-total 26.0 5999.8 146.8 1912.8 584.2 84.1 8753.7 0.05 11.49 0.28 3.66 1.12 0.16 16.76 Sub-total 9741.7 1146.1 53.4 7306.5 177.8 18425.6 18.65 2.19 0.10 13.99 0.34 35.28 Sub-total TOTAL 6546.9 14686.0 121.7 2978.3 614.5 25047.3 52226.6 12.54 28.12 0.42 5.70 1.18 47.96 100.00 Mixed Forest Disturbed Broadleaf Forest and Fields (SC) Bamboo and Disturbed Broadleaf Forest (BF) Bamboo and Fields (BC) Fields and Disturbed Broadleaf Forest (CS) Bauxite Extraction and Disturbed Broadleaf Forest (BS) Non Forest Plantations (PC) Fields (FC) Water Bodies (WA) Buildings and Other Infrastructure (BA) Residential - High Density (BH) Residential - Low Density (BL) TABLE 4 Guidelines for assessing potential forest land SOIL DEPTH Gently to Moderately Sloping <15° (<27%) SLOPE Strongly Sloping to Moderately Steep 15º - 30º (27% - 58%) Steep to Very Steep >30º (>58%) Deep (D) 1 ( FI/P, C ) (>100cm) 6 ( FS, FP, AF ) Moderately Deep (MD) 2 ( FI/P, AF, C ) (50-100cm) Shallow(S) 3 ( FI, AF, C ) 4 ( FI, AF, PA ) 20-50cm) 7 ( FP ) Very Shallow(S) 5 ( FS, AF, PA 6 ( FS, FP, AF ) (<20 cm) Potential Land Use: FI/P - Forest for industrial production, including intensive site preparation and plantation establishment; possible mechanisation Forest for industrial production (e.g. selective cutting, enrichment planting, seeding and coppicing); possible mechanisation, FI but normally excluding intensive site preparation and plantation preparation and plantation establishment. Selection forest for environmental protection and limited wood extraction: selective logging only, no clear-cutting, no road FS construction, no mechanised site preparation, no mechanised ground skidding Protection forest for watershed management, ecosystem protection, and/or recreation: no road construction, no timber FP extraction. Agroforestry: trees or shrubs grown in association with herbaceous plants under an approved system involving soil AF conservation measures or PA - Pastures. C - Cultivable land. Source: Modified from Camirand and Evelyn (2003) and Forestry Department (2001) the formula is not valid for soil with sand > 65% or clay > 35% and this would apply to several of the soils in the The K-Factor is “the rate of soil loss per unit area as measured Rio Minho watershed. An alternative to the equation is a on a 3.7m x 22m plot. ‘K’ is a quantitative measure of a nomogram based on soil texture, organic matter content, soil soil’s inherent susceptibility/resistance to erosion and the structure and soil permeability (Foster et al. 1981). Using 382 O.B. Evelyn soil’s influence on runoff amount and rate” (RUSLEFAC, this nomogram, K-Factors were calculated for the forty-four (44) soils types found in the Rio Minho watershed. “is calculated as the product of the slope length and FIGURE 5 Process flow for creating potential land use L and S-Factors steepness constituents converging onto a point of interest”. RUSLEFAC (1997) also stated that “the LS factor represents van et under al. (2001) stated that the LSoffactor a ratioRemortel of soil loss the given conditions to that a site “is as the of of the9%slope lengthlength and withcalculated the ‘standard’ slopeproduct steepness and slope steepness constituents converging onto a point of interest”. of 22.13 m”. RUSLEFAC stated that “the LS factor represents Without (1997) doing also field measurements, a GIS-based aapplication ratio of soilwas lossproduced under thetogiven conditions thatSoffactors a site generate the Ltoand from a DEM. This application is available as an ArcGIS extension4. TABLE useland by present land use in the Rio Minho Watershed FIGURE56Potential Potentialland forest use – Rio Minho Watershed K-Factor Land use Code 1 2 Forest ( > 75 %, Minimum unit: 25 ha ) PF 26,0 SF 1613,9 181,8 BB 28,2 6,5 WL 235,9 SL 297,2 0,3 MG 84,1 Mixed Forest SC 2001,2 383,7 BF 293,7 70,4 BC 0,6 CS 1518,0 157,4 BS 34,6 8,3 Non Forest PC 5739,3 29,7 FC 7183,4 376,0 WA 221,7 BH 1550,7 7,4 BL 300,9 12,2 TOTAL (HA) 21129,3 1233,9 3 1033,4 25,2 7,1 3,3 2488,5 394,7 2,5 1484,1 44,3 420,3 2180,4 401,3 173,8 8658,9 Modified from Morgan, (2005) is not valid for soil with sand > 65% or clay > 35% and this would apply to several of the soils in the Rio Minho watershed. An alternative to the equation is a nomogram based on soil texture, organic matter content, soil structure and soil permeability (Foster et al. 1981). Using this nomogram, K-Factors were calculated for the forty-four (44) soils types found in the Rio Minho watershed. C and PLand Factors Potential use 4 5 6 7 TOTAL The C and P factors were replaced with a vegetation management factor (VM). Camirand (2005) observed that 26,0of the “originally the VM-factor was determined on the basis 1338,7 645,1 512,0 674,9 5999,9 product of three forest effects on erosion, namely vegetative 62,5 24,0 canopy, ground cover and0,3 roots and residues”. The146,8 VM was expanded 1611,9 later to include 9 other factors. Adopting some 50,7 7,3 1912,8 of the values derived by Camirand (2005), the VM-Factor 276,7 6,8 584,3 values were calculated for the land use types found in the 84,1 Rio Minho watersh A qualitative ranking system according to soil loss was 2818,1 551,7 442,1 Morgan1056,5 adopted and modified from (2005) to fit9741,7 the soil erosion classes in the RUSLE for applications in Canada 306,9 11,0 69,3 1146,1 (RUSLEFAC 1997). This system places greater emphasis 30,6 0,6 19,2 53,4 on the relative implications of soil loss (e.g. severe vs. 2333,2 664,3 323,1 826,2 7306,5 negligible impact) and less on the actual calculated soil loss 77,7 8,4are defined177,8 rate. Five erosion classes 4,5 were used and in Table 6 (Morgan 2005). 206,1 The areas 114,5 22,3 classes 14,9 6547,0 by soil erosion and land use (Figure 8 and Table 7) were calculated using GIS according to the 2650,0 766,9 395,3 1133,9 14685,9 processes outlined above. 221,7 Most of the forested areas (Table 7) have low to very low 4,3 1006,4 8,2 2978,2 erosion potential. However, a significant area in the mixed 30,3 79,1 14,8 3,2 614,4 soil forest and non forest areas have moderate to severe 9858,3 5716,6 1791,7 3837,8 52226,6 erosion potential. The RUSLEFAC (1997) stated that “… tolerable soil loss is the maximum annual amount of soil which can be removed before the long-term natural soil productivity of a hillslope is adversely affected”. Camirand (2005) determined that a tolerable soil loss figure for Jamaica is 10 tonnes per hectares per year. It is also stated that “vegetation is the ultimate, long-term erosion control”5. Thus the goal from the above analysis was to convert to Forest, most of the Mixed Forest and Non Forest areas which have high and severe soil erosion potential. Table 7 shows that a total of 6 425.8 ha and 13 620.7 ha, respectively for each type had potential for conversion. Assessment of Ground Water Regeneration L and S-Factors Van Remortel et al. (2001) stated that the LS factor 4 5 There was a water shortage of 58.3 106 m3/a in the year 2000 and it is projected to increase to 161.0 106 m3/a by the year http://www.yogibob.com/slope/slope.html (31 July 2006). http://www.ceres.ca.gov/foreststeward/html/unneeded.html (7 January 2000) Utilizing GIS for minimizing runoff in a watershed in Jamaica 383 TABLE 5 Potential land use by present land use in the Rio Minho Watershed Land use Code 1 2 Forest ( > 75 %. Minimum unit: 25 ha ) PF 26.0 SF 1613.9 181.8 BB 28.2 6.5 WL 235.9 SL 297.2 0.3 MG 84.1 Mixed Forest SC 2001.2 383.7 BF 293.7 70.4 BC 0.6 CS 1518.0 157.4 BS 34.6 8.3 Non Forest PC 5739.3 29.7 FC 7183.4 376.0 WA 221.7 BH 1550.7 7.4 BL 300.9 12.2 100 100 TOTAL (HA) 21129.3 1233.9 3 Potential Land use 4 5 7 512.0 0.3 50.7 6.8 674.9 24.0 7.3 442.1 11.0 0.6 323.1 4.5 1056.5 69.3 19.2 826.2 8.4 9741.7 1146.1 53.4 7306.5 177.8 6547.0 14685.9 221.7 2978.2 614.4 52226.6 1033.4 25.2 7.1 3.3 1338.7 62.5 2488.5 394.7 2.5 1484.1 44.3 2818.1 306.9 30.6 2333.2 77.7 551.7 420.3 2180.4 206.1 2650.0 114.5 766.9 22.3 395.3 14.9 1133.9 401.3 173.8 8658.9 4.3 30.3 9858.3 1006.4 79.1 5716.6 8.2 14.8 1791.7 3.2 3837.8 FIGURE FIGURE77Process Processflow flowfor fordetermining determiningpotential potentialsoil soilloss loss 645.1 6 1611.9 276.7 664.3 26.0 5999.9 146.8 1912.8 584.3 84.1 TABLE TABLE66 Potential Potentialsoil soilerosion erosionclasses classes Soil SoilErosion ErosionClass Class 11very verylow low(i.e. (i.e.tolerable) tolerable) 22Low Low 33Moderate Moderate 44High High 55Severe Severe 2015 (Table 8) in theslope Rio Minho Watershed Unit with steepness of and with the the ‘standard’ ‘standard’ slope steepness of 9% 9%Management and slope slope length length (WMU). This indicates that the demand is increasing and the of 22.13 m”. of 22.13 m”. greater need is for ground water. Maintaining ground water Without doing field measurements, a GIS-based Without doing field measurements, a GIS-based isapplication therefore was critical in the Unit and it could argued that application to the and SS factors was produced produced to generate generate the LLbe and factors the water balance needs to be tipped more to ground water from a DEM. This application is available as an ArcGIS from a DEM. This application is available as an ArcGIS regeneration extension extension44 through the reduction of runoff. This indicates some sort of vegetative cover but evapotranspiration is quite large which suggests that more tree cover would C PPFactors Cand and(68%) Factors negate any increase in ground water (WRA 1990). This is a dilemma and P could be anwere area for furtherwith research. The replaced The CC and and P factors factors were replaced with aa vegetation vegetation management factor (VM). Camirand (2005) management factor (VM). Camirand (2005) observed observed that that “originally “originallythe thevM-factor vM-factorwas wasdetermined determinedon onthe thebasis basisof ofthe the product productof ofthree threeforest foresteffects effectson onerosion, erosion,namely namelyvegetative vegetative canopy, canopy,ground groundcover coverand androots rootsand andresidues”. residues”.The ThevM vMwas was expanded later to include 9 other factors. Adopting expanded later to include 9 other factors. Adopting some some TOTAL Potential PotentialSoil SoilLoss Loss (tonnes/hectare/year) (tonnes/hectare/year) <<22 22--55 55--10 10 10 10--50 50 >>50 50 Grabaun and Meyer (1998) indicated that productivity to maintain removed before the natural removed before the long-term long-term natural soil soil productivity ground water regeneration at a quantitatively high level, of a hillslope is adversely affected”. Camirand of a hillslope is adversely affected”. Camirand (2005) (2005) lands with soils which are permeable and are in agricultural determined that a tolerable soil loss figure for Jamaica determined that a tolerable soil loss figure for Jamaicaisis10 10 use should not be converted determine the areas tonnes per per ItItforest. isisalso stated that tonnes perhectares hectares peryear. year.to alsoTo stated that“vegetation “vegetation 55 which meet these criteria, erosion the soilscontrol” of the Rio Minho .. Thus the goal is long-term Thus thewere goal is the the ultimate, ultimate, long-term erosion control” classified according to the USDA Soil Survey Hydrologic from the above analysis was to convert to Forest, most from the above analysis was to convert to Forest, most of of Groups (USDA-SCS The soils and the land layers the Forest Non areas which have high and theMixed Mixed Forestand and1972). NonForest Forest areas which haveuse high and TM were then using ArvGIS determine areas severe soil erosion Table shows that total of severe soilintersected erosion potential. potential. Table 77to shows that aathe total of should be left unconverted. The USDA classes were 6which 425.8 ha and 13 620.7 ha, respectively for each type had 6 425.8 ha and 13 620.7 ha, respectively for each type had converted to aconversion. more meaningful grade as follows: A – High, B potential potentialfor for conversion. – Medium, C – Low and D – Very Low (Figure 9 and Table 9). The results suggest Water that an area greater than 5 700 Assessment of Regeneration Assessment ofGround Ground Water Regeneration hectare (CS) in the Mixed Forest and an area greater than 66 33Forest should not 8There 900 was hectare (PCshortage and FC)of the10 Non There aawater 58.3 m was water shortage ofin 58.3 10 m /a/ain inthe theyear year2000 2000 66some 33 measure of be converted to forest. These figures put and it is projected to increase to 161.0 10 m /a by and it is projected to increase to 161.0 10 m /a by the the year year constraint on8) areas for conversion to forest in 2015 in Rio Minho Management Unit 2015(Table (Table 8)the inthe the Rioavailable MinhoWatershed Watershed Management Unit these classes suggested by the previous assessments. (WMU). This indicates that the demand is increasing and the (WMU). This indicates that the demand is increasing and the greater greater need need isis for for ground ground water. water. Maintaining Maintaining ground ground water water isis therefore critical in the Unit and it could be therefore critical in the Unit and it could be argued argued that that the the water water balance balance needs needs to to be be tipped tipped more more to to ground ground water water regeneration regeneration through through the the reduction reduction of of runoff. runoff.This This indicates indicates some sort of vegetative cover but evapotranspiration some sort of vegetative cover but evapotranspirationisisquite quite large large (68%) (68%) which which suggests suggests that that more more tree tree cover cover would would 384 O.B. Evelyn 101 FIGURE 8 Potential soil erosion FIGURE 8 Potential soil erosion Non Forest (NF) were used in the model to simplify the process. In setting up their formulation, Shukla et al. (2001) gave the following guidance: Each constraint (should be) formulated as a linear equation, whose right hand side constant represents the limit of the available resources ….the objective functions and all the constraints must be strictly linear over the domain of each activity ….each linear variable can assume any real value including both real and integers and fractions. All right hand side values are assumed to be known constant. All (values) must be at least equal to zero that is negative assignment should not be included in the model. They also used, “coefficients of the objective functions” which are “secondary objectives (which) act as a set of constraints in limiting the value of the objective function” (ibid). No coefficients were used in this analysis. The problem was therefore formulated as follows: Objective Function: Max {(F to F) + (M to F) + (NF to F)} Subject to the following constraints: Objective function ≥ 0 Conservation forest: F to F ≤ 8 606.90 ha. Protective forest to minimize erosion: M to F ≤ 6 425.80 ha. NF to F ≤ 4 537.40 ha. F to M ≥ 146.80 ha. M to M ≥ 11 999.80 ha. F to NF ≥ 0 Assessment of Domestic Food Crop Production For this assessment, only the domestic food crop production will be assessed. The Ministry of Agriculture does annual assessments of the domestic food crop production by parishes. In the 2003 report, the parish of Clarendon produced 45 543 tonnes of food crops on a total area of 2 876 ha. This amounts to 9% of the Island’s domestic food crop production. This area should be retained but not on steep degraded lands. The high erosion figures stated above could account for this low production. Ground water regeneration and crop production: M to NF ≥ 0 NF to NF ≤ 10 361.38 ha. NF to M ≤ 10 148.52 ha. Forest: (F to F) + (F to M) + (F to NF) ≤ 8 753.7 ha. Mixed: (M to F) + (M to M) + (M to NF) ≤ 18 425.60 ha. Non-Forest: (NF to F) + (NF to M) + (NF to NF) ≤ 25 047.30 ha. Forest Optimization Multi-Objective/Multi-Criteria Decision Making optimization modelling techniques which involve some amount of linear programming methodologies was used to determine the forest optimization. In a linear programming problem, an objective function and the decision variables are first defined. The problem is then formulated so that the objective function can be either maximized or minimized while satisfying a set of constraints. The GIS assessments suggest the possible conversion matrix (Table 10). This matrix was used as the decision variables in the linear programming optimisation. The broad land use groups Forest (F), Mixed Forest (M) and The problem was set up in an Excel 2000 spreadsheet (Figure 10) and the Excel Solver was used to calculate the optimized forest cover value. Results After several iterations, the Solver reported that it found the globally optimal solution, i.e. there was no other solution satisfying the constraints which has a better value for the Utilizing GIS for minimizing runoff in a watershed in Jamaica 102 385 TABLE 7 Potential soil loss area by erosion classes and land use Potrntial Soil Eroion Classes (tonnes/hectares/year) Very Low Low Moderate High Land Use Code <2 2-5 5 - 10 10 - 50 Forest ( > 75 %, Minimum unit: 25 ha ) PF 25.9 0.0 0.0 0.0 SF 4168.9 1112.3 588.3 96.7 BB 0.6 0.3 64.0 0.6 WL 1911.0 1.1 0.1 0.6 SL 583.1 0.2 0.3 0.4 MG 84.1 0.0 0.0 0.0 Mixed Forest SC 9704.3 1.9 10.5 6.6 BF 1142.6 0.1 0.9 0.7 BC 53.0 0.1 0.1 0.1 CS 271.3 3.6 605.8 1782.3 BS 176.7 0.1 0.3 0.2 Non Forest PC 537.4 112.3 1359.8 4179.1 FC 399.5 710.8 4492.4 3393.4 WA 221.0 0.0 0.0 0.7 BH 2883.8 75.8 13.4 4.1 BL 483.4 78.6 42.9 6.6 TOTAL (HA) 22646.8 2096.9 7178.7 9472.1 Severe >50 Total (HA) 0.0 33.6 81.3 0.0 0.2 0.0 26.0 5999.8 146.8 1912.8 584.2 84.1 18.5 1.8 0.1 4643.5 0.5 9741.7 1146.1 53.4 7306.5 177.8 358.3 5689.9 0.0 1.3 2.9 10832.0 6546.9 14685.9 221.7 2978.3 614.4 52226.6 TABLE 8 Annual water resource and demand 2000 – Rio Minho WMU Annual Water Resources and Demand - Rio Minho WMU (106 m3/a ) Rainfall 2420.0 Evapotranspiration 1641.0 Water Resources Surface Water 225.0 Ground Water 554.0 Exploitable Water Total 779.0 Surface Water 32.0 Ground Water 439.0 Water Demand - 2000 (Mcm/yr) Total Irrigation Industrial Domeatic Total 471.0 486.0 19.0 24.3 529.3 Source: WRA Water Resources Development Master Plan for Jamaica. 1990 Assessment of Domestic Food Crop Production objective (Target Cell)6. reports were Answer, Sensitivity and For Three this assessment. onlyproduced: the domestic food crop production Limits. Answer (Table 11) shows does the optimal will be The assessed. TheReport Ministry of Agriculture annual value of the objective function food and the decision variables assessments of the domestic crop production by and how theInconstraints optimalofvalues. The parishes. the 2003 affected report. these the parish Clarendon solution suggested that of thefood optimal that area couldofbe produced 45 543 tonnes cropsvalue on a total 2 achieved wasamounts 19 570.10 hectares Target Cell, Final 876 ha. This to 9% of the (see Island’s domestic food Value). This increases forests from 16.76 crop production. This the areapercentage should beofretained but not on % to 37.47 %. Theaccount Adjustable section of the Answer Report could for thisCells low production. showed the derived land use allocations. For example, the Non-Forest area has been significantly reduced by 56.91 Forest Optimization % from 25 047.3 hectares (Table 3) to 10 361.38 hectares (Adjustable Cells, Cell $D$48, FinalDecision Value, Table 11). Multi-Objective/Multi-Criteria Making optimization modelling techniques which involve some amount of linear programming methodologies was used to determine the forest optimization. In a linear programming 6 http://www.solver.com/suppstdmsgresult2.htm (8 January 2007). problem. an objective function and the decision variables The Sensitivity Report (Tables 12) provided useful information for interpreting the results and indicated how objective function can be either maximized or minimized changing the constraints or the objective function would while satisfying a set of constraints. change the results. This suggest report the provided twoconversion types of The GIS assessments possible information: sensitivity of the solution the decision decision matrix (Tablethe 10). This matrix was used asto the andthe thelinear sensitivity of the solution to the constraints. variables in programming optimisation. The broad For example, the report onlyForest very small land use groups Forestshows (F). that Mixed (M) decreases and Non were allowed in the value of model F to F,toM-to-F andtheNF-to-F Forest (NF) were used in the simplify process.if the In current to remain Shukla optimal.et al. (2001) gave settingsolution up theirwas formulation. The Limitsguidance: Report (Tables 13) indicates how changing the following the valueEach of aconstraint decision (should variable be) impacts the solution. The formulated as a linear Lower equation. Limit column the smallest valuerepresents that the whose gave right hand side constant decisionthe variable be without changing other limit ofcould the available resources ….theany objective decisionfunctions variables and or violating any constraints. Upper all the constraints must The be strictly linear over the domain of each activity ….each linear variable can assume any real value including both real and integers and fractions. All right hand 386 O.B. Evelyn 103 FIGURE 9 Ground watter regeneration FIGURE 9 Ground water regeneration Limit showed the largest value that the decision variable could be without changing any other decision variables or violating any constraints, while the Target Result column showed what the objective value would be if this decision variable took on a limiting value and the other decision variables retained the values they had at the optimal solution. The solution is very tight with most of the adjustable cells fixed at their target values. The values from the analysis in Tables 11 - 13 were used to reconstruct an optimized land use distribution pattern for the watershed. The GIS assessments layers were overlayed and intersected to derive the disaggregated land use classes that are shown in a visual form (Figure 11). These optimized classes along with the original 2001 classes were used in the hydrological modelling exercise. HYDROLOGICAL METHODOLOGY MODELLING AND TESTING For the hydrological simulation, the semi-distributed hydrologic model Soil and Water Assessment Tool (SWAT) was used. The main reasons this software was chosen was that the data required to run it was available, it is designed to simulate ungaged basins (a common situation in Jamaica) and therefore “does not require calibration” (Arnold et al. 1998) and it was freeware. SWAT is integrated with several readily available Geographic Information Systems such as ArcViewTM 3.X and GRASS. The version of SWAT that was used in this project is the SWAT2005 with its ArcViewTM interface AVSWAT–X (Di Luzio et al. 2005). AVSWAT-X takes advantage of some of ArcViewTM extensions and computation capabilities and its Windows-based user interface. This includes the creation of river networks, catchments and sub-basins using Spatial Analysis. The model utilizes a ‘daily time step’ and is developed to simulation processes over long time periods (Arnold et al. 1998). The basic data inputs required for AVSWAT-X to perform the hydrological modelling was a DEM to delineate the watershed boundary, a stream network layer to help define the streams, a digital soil layer, a land use layer to define the Hydrologic Response Units (HRUs), and empirical rainfall and weather data to predict precipitation. Weather data, weather stations location and daily rainfall, obtained from the Meteorological Office in Jamaica were imported to the model. The format and assembly of these data are described in the SWAT user manual (Neitsch et al. 2002). For the project area, ten sub-basins were delineated by AVSWAT-X (Figure 12). On completion, a Watershed View was created and the following themes were added to it: Subbasins, Streams and Outletst. A Topographic Report containing a detailed summary by sub-basin of distinct locations in the watershed was also added to the current ArcViewTM project. Each sub-basin in the Sub-basins theme was numbered. The names and areas of the ten sub-basins that were created in the delineation process are outlined in Table 14. Of the 10 sub basins, runoff analysis was carried out on numbers 1, 2, 3, 4 and 10 because the forest optimization process resulted in changes in these basins. After the land use and soils theme databases were loaded, “Reclassified” and overlayed, the HRUs were determined by AVSWAT-X in order to capture differences in variations within the spatial units. This way the runoff can be spatially determined and summed for the entire watershed to give a more accurate picture of the hydrological processes that are taking place (Stahr and Gaiser, 2004). Neitsch et al. (2001) indicates that “HRUs are intended to be summed areas of similar land use/land cover and soils within a subbasin” . On completion of the HRU distribution process, a SWAT View (Figure 13) was automatically generated and the option to input the weather data activated. The sole purpose of the hydrological simulation in this project was to test for significant differences between the runoff from the two land uses: the 2001 land use and the derived optimized land use. Therefore it was not necessary to calibrate the model since only a comparison between the two sets of runoff was required. Results After all the required data was entered into SWAT and validated by the software, the simulation option was activated. Utilizing GIS for minimizing runoff in a watershed in Jamaica 104 387 TABLE 9 Ground water regeneration Land Use Code HIGH Forest ( > 75 %, Minimum unit: 25 ha ) PF 0.0 SF 4089.5 BB 110.3 WL 1767.0 SL 337.0 MG 76.0 Mixed Forest SC 7341.2 BF 781.0 BC 52.3 CS 5798.4 BS 129.8 Non Forest PC 1992.3 FC 6999.3 WA 0.0 BH 1122.1 BL 279.0 TOTAL (HA) 30875.4 Ground Water Regeneration MEDIUM LOW VERY LOW 0.0 659.6 17.9 0.0 1.0 0.0 17.0 982.4 7.5 60.3 26.3 3.8 8.9 268.2 11.1 85.4 219.9 4.4 26.0 5999.7 146.8 1912.8 584.2 84.1 1208.0 247.0 0.0 649.2 19.6 795.5 104.9 1.1 362.7 0.2 397.0 13.3 0.0 496.2 28.2 9741.7 1146.1 53.4 7306.5 177.8 176.2 1977.7 0.0 111.8 134.1 5201.9 1708.1 1934.7 33.1 24.3 107.2 6169.2 2670.3 3774.4 188.7 1720.0 94.1 9980.1 6546.9 14686.1 221.7 2978.3 614.4 52226.6 105 values are assumed be known to constant. TABLE side 10 Suitable areas (ha) fortoconversion forest All (values) must be at least equal to zero that is negative assignment should not be included in the model. FROM/TO FOREST (F) FOREST (F) 8753.70 MIXED (M) 6425.80 which are “secondary objectives (which) act as a set of NON-FOREST (NF) 4537.40 constraints in limiting the value of the objective function” (ibid FIGURE 10 therefore Solver in the Excel 2000 problem was formulated as follows: Daily simulation wassetup run for period May 1, 2002 to May 31, 2002. SWAT is designed to run for a longer period but Objective continuous data forFunction: the watershed was limited. For surface {(F rain/CN/Daily” to F) + (M to F)option + (NFwas to F)} runoff theMax “Daily selected for the Subject the following constraints: precipitation timetostep, runoff calculation method and routing time step.Objective function ≥ 0 A series of reports were produced in dbase table format after Conservation forest: the simulation was run successfully. A display of the simulated F to F ≤ 8 606.90 ha. can be easily modified. The runoff was then presented which before and after runoff for all the sub-basins are also present in forest14). to minimize erosion: histogramProtective format (Figure M to F ≤ 6 425.80 ha. to whole numbers) runoff The percentage (rounded NF to F ≤ 4 537.40 ha. by the optimized land use reductions that were achieved F to M ≥ 146.80 ha. was calculated and presented by sub-basins and showed in Table 15.M to M ≥ 11 999.80 ha. F to NF number ≥0 A significant of the days in the sub-basins where Ground water regeneration and crop production: the treatment was applied have reduced runoff above 10%. M to NF ≥ 0 Some experienced runoff reductions of 100% on some days. NF to NF ≤ 10 361.38 ha. is missing 76 TOTAL (HA) http://www.solver.com/suppstdmsgresult2.htm January 2007) http://faculty.vassar.edu/lowry/wilcoxon.html (6 (8 September 2006). NF to M ≤ 10 148.52 ha. Forest: (M) MIXED NON-FOREST (NF) (F to- F) + (F to M) + (F to NF) ≤ 8 753.7 ha. Mixed: 11999.8 (M to F) + (M to M) + (M to NF) ≤ 18 425.60 ha. 20509.90 Non-Forest: (NF to F) + (NF to M) + (NF to NF) ≤ 25 047.30 ha. It should be noted however, that some of the values which are problem was setin up in anwhen Excel 0% The showed an increase runoff the2000 runoffspreadsheet values are (Figure 10) than and the ExcelofSolver wasAlso, usedjust to calculate the set to more 4 places decimal. as there was optimized coverflow, value. a decrease forest in surface there was also an increase in base flow. SWAT produced a report for this but further analysis was Results not done by the researcher because it was beyond the scope of this research. After several iterations. Solver reported found the The next step was tothe establish whether that theseit reductions globally optimal solution. i.e. there was no other solution were statistically significant. A two sample test was therefore satisfying the constraints which has a better value the conducted on the two sets of runoff data. A Wilcoxon for signed6 . objective (Target Cell) rank test was chosen instead of a two-sample t-test or a MannThreeUreports were produced: Answer. Whitney Test because the runoff data from Sensitivity the two setsand of Limits. The Answer Report (Table 11) shows the present). optimal data did not have a normal distribution (outliers were value the values objective function and the decision variables Theofmean and the p-values (Table 16) were calculated and how the constraints affected these optimal values. The after submitting the two runoff datasets produced by SWAT suggested that the optimal value that could be solution to the Wilcoxon signed-rank test at the 95% confidence level ® achieved was 19 570.10 hectares (see Target Cell. Final using the Analyse-it statistical software add-in for Microsoft® 7 Value). This increases of forests from 16.76 Excel® for Windows andthe thepercentage on-line VassarStats software . % to 37.47 %. 388 O.B. Evelyn FIGURE 10 Solver setup in Excel 2000 ACKNOWLEDGEMENT Special thanks to by friends and colleagues, who are too numerous to mention, for their valuable advise and support. I am truly grateful. REFERENCES For all of the basins, the P values for both the 1–tail and 2–tail tests are smaller than the significance level (p<0.05). The null hypothesis that there is no significant difference between the runoffs from the two sets of land uses was therefore rejected. CONCLUSION The land use optimization model suggested a spatial pattern in the upper watershed which had the following features: 1) retain as conservation forests, forested areas on steep slopes and shallow soils, 2) convert to forest, areas being used for agriculture on steep slopes and shallow soils and areas with high to severe erosion problems, 3) preserve areas with high agricultural production and high ground water regeneration potential. Features 1 and 2, if implemented, would help to solve some of the problems being faced in the watershed. While the problem of determining the optimum forest cover and the desired spatial distribution to minimize runoff was solved by this study, implementation of the conservation and reforestation measures may prove to be a challenge since it would require some amount of dislocation. Currently, land use practices on the upper slopes of the watershed are mainly agricultural crop production and are done mostly on small holdings by subsistent farmers. The results of the hydrological modelling point to significant reductions in runoffs in the upper watersheds where forest cover is restored and the NRCA indicated that there were medium to severe degradation problems. AGARWAL, C., GREEN, G. M., GROVE, J. M., EVANS, T. P. and SCHWEIK, C. M. 2001. A Review and Assessment of Land-Use Change Models: Dynamics of Space, Time, and Human Choice. Bloomington and South Burlington, Center for the Study of Institutions, Population, and Environmental Change, Indiana University and USDA Forest Service. CIPEC Collaborative Report Series 1. ARNOLD, J. G., SRINIVASAN, R., MUTTIAH, R. S. and WILLIAMS, J. R. 1998. Large Area Hydrologic Modeling and Assessment: Part I. Model Development. Journal of the American Water Resources Association. 34(1): 73-89. BRIASSOULIS, H. 1999. Analysis of Land Use Change: Theoretical and Modeling Approaches. Regional Research Institute, West Virginia University. BURT, T. and SWANK, W. 2002. Forests or Floods? Geography Review. 15(5): 37-41. CAMIRAND, R. and EVELYN, O.B. 2003. Ecological land classification for forest management and conservation in Jamaica. Jamaica-Canada Trees for Tomorrow Project Phase II, Forestry Department and Tecsult International, Kingston, Jamaica. 40 p. CAMIRAND, R. 2005. Water and Soil Conservation Plan for Buff Bay Pencar Watershed Management Unit, Jamaica. Draft Report Prepared for the Forestry Department, Ministry of Agriculture Kingston, Jamaica. Wood and Forest Sciences Department Laval University, Québec, Canada December 2005 DEL MAR LÓPEZ, T., MITCHELL AIDE, T. and SCATENA, F.N. 1998. The effect of land use on soil erosion in the Guadiana watershed in Puerto Rico. Caribbean Journal of Science 34(3-4): 298-307. DI LUZIO, M., MITCHELL, G. and SAMMONS, N. 2005 AVSWAT-X short tutorial. Third Conference on Watershed Management to Meet Water Quality Standards and Emerging TMDL, March 5 - 9, 2005. Sheraton Atlanta, Georgia, USA. EVELYN, O. and CAMIRAND, R. 2003. Forest cover and deforestation in Jamaica: An analysis of forest cover estimates over time. International Forestry Review 5(4) 354-363. EYRE, L. A. 1986. Deforestation in Jamaica: its rate and implications. Department of Geology, University of the West Indies, Kingston, 29 pp EYRE, L.A. 1987. Jamaica: a test case for tropical deforestation. Ambio. 16(6) 336-343. FAO. 1985. Guidelines: land evaluation for irrigated Utilizing GIS for minimizing runoff in a watershed in Jamaica 389 TABLE 11 Excel Solver Answer Report Target Cell (Max) Cell $B$49 Adjustable Cells Cell $B$46 $C$46 $D$46 $B$47 $C$47 $D$47 $B$48 $C$48 $D$48 Constraints Cell $B$49 $B$46 $B$46 $C$46 $D$46 $B$47 $B$47 $C$47 $D$47 $B$48 $B$48 $C$48 $D$48 $C$46 $C$47 $C$48 $D$46 $D$47 $D$48 Name TOTAL FOREST Original Value 28800.20 Final Value 19570.10 Name FOREST FOREST FOREST MIXED FOREST NON-FOREST MIXED FOREST MIXED MIXED MIXED NON-FOREST NON-FOREST FOREST NON-FOREST MIXED NON-FOREST NON-FOREST Original Value 8753.70 0.00 0.00 6425.80 11999.80 0.00 13620.70 0.00 11426.60 Final Value 8606.90 146.80 0.00 6425.80 11999.80 0.00 4537.40 10148.52 10361.38 Name TOTAL FOREST FOREST FOREST FOREST FOREST FOREST MIXED FOREST NON-FOREST MIXED FOREST MIXED FOREST MIXED MIXED MIXED NON-FOREST NON-FOREST FOREST NON-FOREST FOREST NON-FOREST MIXED NON-FOREST NON-FOREST FOREST MIXED MIXED MIXED NON-FOREST MIXED FOREST NON-FOREST MIXED NON-FOREST NON-FOREST NON-FOREST Cell Value 19570.10 8606.90 8606.90 146.80 0.00 6425.80 6425.80 11999.80 0.00 4537.40 4537.40 10148.52 10361.38 146.80 11999.80 10148.52 0.00 0.00 10361.38 Formula $B$49>=$B$67 $B$46<=$B$58 $B$46<=$B$68 $C$46<=$B$68 $D$46<=$B$68 $B$47<=$B$59 $B$47<=$B$69 $C$47<=$B$69 $D$47<=$B$69 $B$48<=$B$60 $B$48<=$B$70 $C$48<=$B$70 $D$48<=$B$70 $C$46>=$B$61 $C$47>=$B$62 $C$48>=$B$63 $D$46>=$B$64 $D$47>=$B$65 $D$48<=$B$66 agriculture. Soil resources development and conservation service, FAO Land and Water Development Division, FAO Soils Bulletin 55, FAO, Rome. FAO. 1996a. Agro-ecological zoning Guidelines. FAO Soils Bulletin 73, FAO, Rome FAO. 1996b. E/CN.17/IPF/1996/2 - Report of the Secretary, General Commission On Sustainable Development, Ad Hoc Intergovernmental Panel on Forests, Second session: 11-22 March 1996. FORESTRY DEPARTMENT. 2001. National forest management and conservation plan. Ministry of Agriculture, Kingston, Jamaica. 100 p. and appendices. Status Not Binding Binding Binding Not Binding Not Binding Binding Binding Not Binding Not Binding Binding Binding Not Binding Binding Binding Binding Binding Binding Binding Binding Slack 19570.10 0 0 8606.9 8753.7 0 0 6425.8 18425.6 0 0 14898.78 0 0.00 0.00 0.00 0.00 0.00 0 FOSTER, G.R., Mc. COOL, D. K., RENARD, K.G. and Moldenhauer, W.C. 1981. Conversion of the universal soil loss equation to SI metric units, Journal of Soil and Water Conservation 36(6): 355-359. GRABAUM, R. and MEYER, B. C. 1998. Multicriteria optimization of landscapes using GIS-based functional assessments, Journal: Landscape and Urban Planning, 43(1): 21-34. IDB. 2006. Information on disaster risk management case study of five countries - Case study Jamaica. InterAmerican Development Bank & Economic Commission for Latin America and the Caribbean, 2006. 390 O.B. Evelyn TABLE 12 Excel Solver Sensitivity Report Adjustable Cells Cell Name Final Value $B$46 $C$46 $D$46 $B$47 $C$47 $D$47 $B$48 $C$48 $D$48 Constraints FOREST FOREST FOREST MIXED FOREST NON-FOREST MIXED FOREST MIXED MIXED MIXED NON-FOREST NON-FOREST FOREST NON-FOREST MIXED NON-FOREST NON-FOREST Cell Name Final Value $B$49 TOTAL FOREST 19Ê570.10 8606.90 146.80 0.00 6425.80 11999.80 0.00 4537.40 10148.52 10361.38 Reduced Cost 1.00 0.00 0.00 1.00 0.00 0.00 1.00 0.00 0.00 Objective Coefficient 1 0 0 1 0 0 1 0 0 Allowable Increase 1.00E+030 0 0 1.00E+030 0 0 1.00E+030 0 1.00E+030 Allowable Decrease 1 1.00E+030 1.00E+030 1 1.00E+030 1.00E+030 1 1.00E+030 0 Shadow Price - Constraint R.H. Side 0 Allowable Increase 19570.1 Allowable Decrease 1.00E+030 Lower Limit -10963.20 146.80 0.00 -13144.30 11999.80 0.00 -15032.70 10148.52 #N/A! Target Result 0.00 19570.10 19570.10 0.00 19570.10 19570.10 0.00 19570.10 #N/A! Upper Limit 8606.90 8753.70 8753.70 6425.80 18425.60 18425.60 4537.40 25047.30 10361.38 Target Result 19570.10 19570.10 19570.10 19570.10 19570.10 19570.10 19570.10 19570.10 19570.10 TABLE 13 Excel Solver Limits Report Cell $B$49 Target Name TOTAL FOREST Value 19570.10 Cell Adjustable Name Value $B$46 $C$46 $D$46 $B$47 $C$47 $D$47 $B$48 $C$48 $D$48 FOREST FOREST FOREST MIXED FOREST NON-FOREST MIXED FOREST MIXED MIXED MIXED NON-FOREST NON-FOREST FOREST NON-FOREST MIXED NON-FOREST NON-FOREST 8606.90 146.80 0.00 6425.80 11999.80 0.00 4537.40 10148.52 10361.38 JONES, J. A. and POST, D. A. 2004. Seasonal and successional streamflow response to forest cutting and regrowth in the northwest and eastern United States, Water Resources Research, 40. MORGAN, R.P.C. 2005. Soil erosion and Conservation. Third edition, Blackwell Publishing, Oxford, UK.304p NEITSCH, S.L., ARNOLD, J. G., KINIRY, J. R., SRINIVASAN, R. and WILLIAMS, J. R. 2002. Soil and Water Assessment Tool User’s Manual, Version 2000. TWRI Report TR-192. Texas Water Resources Institute, College Station, TX. NEITSCH, S.L., ARNOLD, J.G., KINIRY, J.R., WILLIAMS, J.R. and KING K.W. 2001. Soil and Water Assessment Tool Theoretical Documentation, Version 2000. Grassland, Soil & Water Research Laboratory, Temple, Texas GSWRL Report 02-01 and Blackland Research and Extension Center, Temple, Texas BRC Report 02-05, pp506. NRCA. 1997, State of the Environment 1997 Report, Government of Jamaica OKUMU, B.N., JABBAR, M.A., COLMAN, D. and RUSSELL N. 1999. Bio-Economic Modelling of Watershed Resources in Ethiopia. Paper presented at the Annual Meeting of the American Agricultural Economics Association, Nashville, Tennessee, USA, 8-11 August 1999. PARKER, D.C., MANSON, S.M., JANSSEN, M.A., HOFFMAN, M. and DEADMAN, P. 2002. Multi-Agent Systems for the Simulation of Land-Use and LandCover Change: A Review. Annals of the Association of American Geographers, 93(2): 314–337. RUSLEFAC. 1997. Revised Universal Soil Loss Equation for Application in Canada. A Handbook for Estimating Soil Loss from Water Erosion in Canada. (Final version; based on 1997 draft). SHAOJUN, C., YUE, W. and YIJIE, W. 2004. The Loess Plateau Watershed Rehabilitation Project, A case study from Reducing Poverty, Sustaining Growth. What Utilizing GIS for minimizing runoff in a watershed in Jamaica FIGURE 11 Optimized land use classes of Rio Minho Watershed FIGURE 11 Optimized land use classes of Rio Minho Watershed 391 TABLE 14 Sub-basins created by SWAT in the delineation process 107 Sub-basin # Name Area (Ha.) 1 Thomas River 7967.8 2 Pindars River 9883.8 3 Suttons 3224.3 109 4 May Pen 4444.8 indicates that “HRUs are intended to be summed areas of TABLE 14 Sub-basins created by SWAT in the delineation land use/land cover and soils within a subbasin” . process 5 Panassus similar 4657.8 On completion of the HRU distribution process, a SWAT Sub-basin # Name Area (Ha.) View (Figure 13) was automatically generated and the option 1 Thomas River 7967,8 to input the weather data activated. 6 Webbers Gully 1801.9 2 Pindars River 9883,8 The sole purpose of the hydrological simulation in this project was to test for significant differences between the 3 Suttons 3224,3 7 New Yarmoth runoff from the two land uses: 2492.5 the 2001 land use and the 4 May Pen 4444,8 derived optimized land use. Therefore it was not necessary 5 Panassus 4657,8 to calibrate the model since only a2781 comparison between the 8 Hayes 6 Webbers Gully 1801,9 two sets of runoff was required. 7 New Yarmoth 2492,5 9Hayes Brokenbank 1924 Results 8 2781 9 Brokenbank 1924 After all the required data was entered into SWAT and 10 Upper Rio Minho 13048.5 10 Upper Rio Minho 13048,5 by AvSWAT-X in order to capture differences in variations within the spatial units. This way the runoff can be spatially determined and summed for the entire watershed to give a more accurate picture of the hydrological processes that are taking place (Stahr and Gaiser, 2004). Neitsch et al. (2001) validated by the software, the simulation option was activated. Daily simulation was run for the period May 1, 2002 to May 31, 2002. SWAT is designed to run for a longer period but continuous data for the watershed was limited. For surface runoff the “Daily rain/CN/Daily” option was selected for the precipitation time step, runoff calculation method and routing time step. A series of reports were produced in dbase table format by AVSWAT-X in order to capture differences in variations FIGURE Watershed Viewway withthe sub-basins delineated within the13 spatial units. This runoff can be spatially FIGURE 13 SWAT View determined and summed for the entire watershed to give a more accurate picture of the hydrological processes that are taking place (Stahr and Gaiser. 2004). Neitsch et al. (2001) 108 HYDROLOGICAL METHODOLOGY FIGURE 13 SWAT View MODELLING AND TESTING For the hydrological simulation, the semi-distributed hydrologic model Soil and Water Assessment Tool (SWAT) was used. The main reasons this software was chosen was that the data required to run it was available, it is designed to simulate ungaged basins (a common situation in Jamaica) and therefore “does not require calibration” (Arnold et al. 1998) and it was freeware. SWAT is integrated with several readily available Geographic Information Systems such as ArcviewTM 3.X and GRASS. The version of SWAT that was used in this project is the SWAT2005 with its ArcviewTM interface AvSWAT–X (Di Luzio et al. 2005). AvSWAT-X takes advantage of some of ArcviewTM extensions and computation capabilities and its Windows-based user interface. This includes the creation of river networks, catchments and sub-basins using Spatial Analysis. The model utilizes a ‘daily time step’ and is developed to simulation processes over long time periods (Arnold et al. 1998). The basic data inputs required for AvSWAT-X to perform the hydrological modelling was a DEM to delineate the watershed boundary, a stream network layer to help define the streams, a digital soil layer, a land use layer to define the Hydrologic Response Units (HRUs), and empirical rainfall and weather data to predict precipitation. Weather data, weather stations location and daily rainfall, obtained from the Meteorological Office in Jamaica were imported to the model. The format and assembly of these data are described in the SWAT user manual (Neitsch et al. 2002). For the project area, ten sub-basins were delineated by AvSWAT-X (Figure 12). On completion, a Watershed View was created and the following themes were added to it: Sub-basins, Streams and Outletst. A Topographic Report containing a detailed summary by sub-basin of distinct locations in the watershed was also added to the current ArcviewTM project. Each sub-basin in the Sub-basins theme was numbered. The names and areas of the ten sub-basins that were created in the delineation process are outlined in Table 14. Of the 10 sub basins, runoff analysis was carried out on numbers 1, 2, 3, 4 and 10 because the forest optimization process resulted in changes in these basins. After the land use and soils theme databases were loaded, “Reclassified” and overlayed, the HRUs were determined FIGURE 12 Watershed View with sub-basins delineated FIGURE 12 Watershed View with sub-basins delineated 110 after the simulation was run successfully. A display of the simulated runoff was then presented which can be easily modified. The before and after runoff for all the sub-basins are also present in histogram format (Figure 14). The percentage (rounded to whole numbers) runoff reductions that were achieved by the optimized land use was calculated and presented by sub-basins and showed in Table 15. A significant number of the days in the sub-basins where the treatment was applied have reduced runoff above 10%. Some experienced runoff reductions of 100% on some days. It should be noted however, that some of the values which are 0% showed an increase in runoff when the runoff values are set to more than 4 places of decimal. Also, just as there was a decrease in surface flow, there was also an increase in base flow. SWAT produced a report for this but further analysis was not done by the researcher because it was beyond the scope of this research. FIGURE 13 SWAT Reports FIGURE 14 SWAT Reports 7 http://faculty.vassar.edu/lowry/wilcoxon.html (6 September 2006)) The next step was to establish whether these reductions were statistically significant. A two sample test was therefore conducted on the two sets of runoff data. A Wilcoxon signed-rank test was chosen instead of a two-sample t-test or a Mann-Whitney U Test because the runoff data from the two sets of data did not have a normal distribution (outliers were present). The mean values and the p-values (Table 16) were calculated after submitting the two runoff datasets produced by SWAT to the Wilcoxon signed-rank test at the 95% confidence level using the Analyse-it® statistical software add-in for Microsoft® Excel® for Windows and the on-line vassarStats software7. For all of the basins, the P values for both the 1–tail and 2–tail tests are smaller than the significance level (p<0.05). The null hypothesis that there is no significant difference between the runoffs from the two sets of land uses was therefore rejected. indic simil O View to inp T runof deriv to ca two s Resu After valid activa 2002 perio For s selec meth A 392 O.B. Evelyn 111 TABLE 15 Percentage runoff reductions by sub-basins DATE 01/05/2002 02/05/2002 03/05/2002 04/05/2002 05/05/2002 06/05/2002 07/05/2002 08/05/2002 09/05/2002 10/05/2002 11/05/2002 12/05/2002 13/05/2002 14/05/2002 15/05/2002 16/05/2002 17/05/2002 18/05/2002 19/05/2002 20/05/2002 21/05/2002 22/05/2002 23/05/2002 24/05/2002 25/05/2002 26/05/2002 27/05/2002 28/05/2002 29/05/2002 30/05/2002 31/05/2002 1 0% 12% 77% 14% 23% 100% 0% 11% 14% 10% 15% 15% 0% 0% 6% 6% 61% 41% 0% 0% 6% 2% 1% 2% 2% 1% 1% 2% 2% 2% 3% ≤ 10% SUB BASINS 2 3 4 0% 0% 0% 0% 9% 0% 27% 27% 30% 83% 12% 0% 0% 23% 0% 0% 0% 0% 26% 24% 30% 83% 11% 0% 100% 15% 0% 18% 12% 23% 0% 36% 0% 0% 33% 0% 0% 16% 0% 0% 2% 0% 0% 7% 0% 0% 67% 0% 0% 0% 0% 33% 29% 35% 89% 50% 0% 100% 24% 0% 18% 13% 23% 0% 3% 0% 5% 5% 6% 3% 4% 2% 2% 2% 1% 1% 2% 1% 4% 10% 0% 3% 2% 2% 3% 2% 2% 3% 2% 3% 0% 3% 0% 11 50 % 10 0% 9% 100% 11% 22% 100% 0% 11% 15% 9% 50% 65% 100% 0% 7% 60% 40% 100% 0% 0% 8% 3% 4% 7% 2% 2% 9% 2% 2% 3% 3% 51 100% TABLE 16 Results of Wilcoxon signed-ranks test StaBASINS tis1 2 3 tics Me0.29 0.430 2.000 dian w 349 256 427 ns/r 26 24 29 z 4.43 3.65 4.61 p(1<0.0001 0.000 <0.0001 tail) p(2<0.0001 0.000 <0.0001 tail) ns/r = number of signed ranks 4 10 0.199 0.954 106 16 2.73 351 26 4.45 0.003 <0.0001 0.006 <0.0001 Works, What Doesn’t, and Why - A Global Exchange CONCLUSION for Scaling Up Success Scaling Up Poverty Reduction: Global Learning Process Conference Shanghai, TheAland use optimization modeland suggested a spatial pattern May 25.27, 2004. which had the following features: 1) in the upper watershed SHAIKH, S. L., SUCHÁNEK, P., SUN,areas L. and retain as conservation forests. forested on CORNELIS steep slopes KOOTEN, 2003. Does Inclusion Landowners’ andVAN shallow soils. 2)G.convert to forest. areasofbeing used for Non-Market Values Lower Costs ofsoils Creating Carbon agriculture on steep slopes and shallow and areas with Sinks. highForest to severe erosion problems. 3) preserve areas with high SHRESTHA, M.N. and 2003. Spatially Distributed agricultural production high ground water regeneration Hydrological Land-use potential. FeaturesModelling 1 and 2. considering if implemented. wouldchanges help to using Remote GIS. Map Conference solve some of the Sensing problemsand being faced in Asia the watershed. 2003, Resources. While Water the problem of determining the optimum forest SHUKLA, S.,desired YADAV, P. D.distribution and GOEL to R.minimize K. 2001.runoff Land cover and the spatial Planning and Linear Programming. Map wasUse solved by thisUsing study.GIS implementation of the conservation 2001 - measures Conference Environmental andIndia reforestation mayProceedings, prove to be a challenge since Planning. it would require some amount of dislocation. Currently. STAHR, K. and GAISER, T. 2004. Estimation of impactare of land use practices on the upper slopes of the watershed landagricultural use changescrop on catchment andmostly sediment mainly productionhydrology and are done on load in southern Benin, farmers. A thesis submitted in partial small holdings by subsistent fulfillment of Science inAgricultural The results ofof the theMaster hydrological modelling point to Science, Food Security andNatural Resource Management. where forest cover is restored and the NRCA indicated that UNDP/FAO. 1973.to Watershed Management and Soil there were medium severe degradation problems. Conservation Activities in Jamaica: An Evaluation Report. FO:SF/JAMN 5 Technical Report 9. 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