Optimization methodology for land use patterns using spatially explicit landscape models

Spatially explicit ecosystem models allow the calculation of water and matter dynamics in a landscape as functions of spatial localization of habitat structures and matter input. For a mainly agricultural region we studied the nutrient balance as a function of different management schemes. For this purpose we formulated optimization tasks. This required the definition of performance criteria, which compare economic aspects, such like farmer's income from harvest, with ecologic aspects, such like nutrient loss out of the watershed. The task was to calculate optimum land use maps and fertilizer application maps maximizing the performance criterion. We developed a framework of procedures for numerical optimization in spatially explicit dynamic ecosystem simulation models. The results were tested using Monte-Carlo's simulation, which based on different stochastic generators for the independent control variables. Gradient free optimization procedures (Genetic Algorithms) were used to verify the simplifying assumptions. Parts of the framework offer tools for optimization with the computation effort independent of the size of the study area. As a result, important areas with high retention capabilities were identified and fertilizer maps were set up depending on soil properties. This shows that optimization methods even in complex simulation models can be a useful tool for a systematic analysis of management strategies of ecosystem use.

[1]  S. E. Joergensen State-of-the-art in ecological modelling. , 1979 .

[2]  Craig Loehle,et al.  Optimal control of spatially distributed process models , 2000 .

[3]  F. Sklar,et al.  Modeling Coastal Landscape Dynamics , 1990 .

[4]  Ralf Seppelt,et al.  Regionalised optimum control problems for agroecosystem management , 2000 .

[5]  Bernard A. Engel,et al.  MULTIPLE CRITERIA DYNAMIC SPATIAL OPTIMIZATION TO MANAGE WATER QUALITY ON A WATERSHED SCALE , 2000 .

[6]  Thomas W. Gardner,et al.  WATERSHED CONFIGURATION AND GEOGRAPHIC INFORMATION SYSTEM PARAMETERIZATION FOR SPUR MODEL HYDROLOGIC SIMULATIONS , 1991 .

[7]  Jennifer L. Dungan,et al.  Forest ecosystem processes at the watershed scale: basis for distributed simulation , 1991 .

[8]  Robert Costanza,et al.  Dynamic spatial simulation modeling of coastal wetland habitat succession , 1985 .

[9]  Eligius M. T. Hendrix,et al.  A framework to study nearly optimal solutions of linear programming models developed for agricultural land use exploration , 2000 .

[10]  Michael E. Wall,et al.  Galib: a c++ library of genetic algorithm components , 1996 .

[11]  Michael F. Goodchild,et al.  A spatial decision support system for modeling and managing agricultural non-point-source pollution. , 1993 .

[12]  C. A. Jones,et al.  Epic - a Model for Assessing the Effects of Erosion on Soil Productivity1 , 1983 .

[14]  Felix Müller,et al.  Gradients in ecological systems , 1998 .

[15]  R. Bulirsch Optimal control : calculus of variations, optimal control theory and numerical methods , 1993 .

[16]  Adolfo Cazorla,et al.  Optimization of spatial allocation of agricultural activities , 1998 .

[17]  Daniel W. Uresk,et al.  Spatial Optimization of Prairie Dog Colonies for Black-Footed Ferret Recovery , 1997, Oper. Res..

[18]  M. Goodchild,et al.  Environmental Modeling with GIS , 1994 .

[19]  Amnon Nevo,et al.  Spatial optimization of wildlife habitat , 1996 .

[20]  F. Helles,et al.  Spatial optimization by simulated annealing and linear programming , 1997 .

[21]  Elinor Ostrom,et al.  Institutions, ecosystems, and sustainability , 2000 .

[22]  Thomas Maxwell,et al.  Distributed modular spatial ecosystem modeling , 1995, Int. J. Comput. Simul..

[23]  Alexey A. Voinov,et al.  Modular ecosystem modeling , 2004, Environ. Model. Softw..

[24]  K. Beven,et al.  A physically based, variable contributing area model of basin hydrology , 1979 .

[25]  Ralf Seppelt,et al.  Applications of optimum control theory to agroecosystem modelling , 1999 .

[26]  Valentina Krysanova,et al.  Simulation modelling of the coastal waters pollution from agricultural watershed , 1989 .

[27]  Thomas Maxwell,et al.  Patuxent landscape model: integrated ecological economic modeling of a wathershed , 1999, Environ. Model. Softw..

[28]  J. Hof,et al.  Spatial and temporal optimization in habitat placement for a threatened plant: the case of the western prairie fringed orchid , 1999 .