Generating crop sequences in land-use models using maximum entropy and Markov chains
Farm management models often produce average crop shares over a number of years, whereas models from the natural sciences often require inputs of sequences of crops grown on a specific field over several years. In interdisciplinary modelling, this difference can be a relevant obstacle. To bridge this gap, an approach is presented that allows disaggregating results from farm management models to the level required by many natural science models. The approach presented includes two methodological innovations: first, minimum cross entropy is used to ensure a unique solution when modelling a linear programming model at the field level, even when objective and constraint coefficients are identical for different fields. Second, the use of a calibrated Markov chain approach allows the creation of land-use sequences that are closer to the linear programming model's results than an unconditional stochastic simulation would be. The calibrated Markov chain makes use of a prior matrix of transition probabilities that can be empirically derived. Both simulations and analytical calculations with case study data show that the variances of the Markov chain approach are systematically lower than those yielded by a simple stochastic simulation approach. The approach introduced in this paper can improve the coupling of farm-level economic models with natural science models at the field level.
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- Martin Schönhart & Erwin Schmid & Uwe A. Schneider, 2009. "CropRota – A Model to Generate Optimal Crop Rotations from Observed Land Use," Working Papers 452009, Institute for Sustainable Economic Development, Department of Economics and Social Sciences, University of Natural Resources and Life Sciences, Vienna.
- Oglethorpe, David R. & Sanderson, Roy A., 1999. "An ecological-economic model for agri-environmental policy analysis," Ecological Economics, Elsevier, vol. 28(2), pages 245-266, February.
- Lant, Christopher L. & Kraft, Steven E. & Beaulieu, Jeffrey & Bennett, David & Loftus, Timothy & Nicklow, John, 2005. "Using GIS-based ecological-economic modeling to evaluate policies affecting agricultural watersheds," Ecological Economics, Elsevier, vol. 55(4), pages 467-484, December.
- Schreinemachers, Pepijn & Berger, Thomas & Aune, Jens B., 2007. "Simulating soil fertility and poverty dynamics in Uganda: A bio-economic multi-agent systems approach," Ecological Economics, Elsevier, vol. 64(2), pages 387-401, December.
- Detlefsen, Nina K. & Jensen, Allan Leck, 2007. "Modelling optimal crop sequences using network flows," Agricultural Systems, Elsevier, vol. 94(2), pages 566-572, May.
- Raja Chakir, 2009. "Spatial Downscaling of Agricultural Land-Use Data: An Econometric Approach Using Cross Entropy," Land Economics, University of Wisconsin Press, vol. 85(2), pages 238-251.
- van Wenum, J. H. & Wossink, G. A. A. & Renkema, J. A., 2004.
"Location-specific modeling for optimizing wildlife management on crop farms,"
Elsevier, vol. 48(4), pages 395-407, April.
- van Wenum, Jaap & Wossink, Ada & Renkema, Jan, 2002. "Location-Specific Modeling For Optimizing Wildlife Management On Crop Farms," 2002 Annual meeting, July 28-31, Long Beach, CA 19705, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- Berger, Thomas, 2001. "Agent-based spatial models applied to agriculture: a simulation tool for technology diffusion, resource use changes and policy analysis," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 25(2-3), September.
- Castellazzi, M.S. & Wood, G.A. & Burgess, P.J. & Morris, J. & Conrad, K.F. & Perry, J.N., 2008. "A systematic representation of crop rotations," Agricultural Systems, Elsevier, vol. 97(1-2), pages 26-33, April.
- You, Liangzhi & Wood, Stanley, 2006. "An entropy approach to spatial disaggregation of agricultural production," Agricultural Systems, Elsevier, vol. 90(1-3), pages 329-347, October.
- Zander, P. & Kachele, H., 1999. "Modelling multiple objectives of land use for sustainable development," Agricultural Systems, Elsevier, vol. 59(3), pages 311-325, March.
- Haneveld, W. K. Klein & Stegeman, A. W., 2005. "Crop succession requirements in agricultural production planning," European Journal of Operational Research, Elsevier, vol. 166(2), pages 406-429, October.
- Richard Howitt & Arnaud Reynaud, 2003. "Spatial disaggregation of agricultural production data using maximum entropy," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 30(3), pages 359-387, September.
- Zeyuan Qiu, 2005. "Using Multi-Criteria Decision Models to Assess the Economic and Environmental Impacts of Farming Decisions in an Agricultural Watershed," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 27(2), pages 229-244.
- Meyer-Aurich, Andreas, 2005. "Economic and environmental analysis of sustainable farming practices - a Bavarian case study," Agricultural Systems, Elsevier, vol. 86(2), pages 190-206, November.
- Sorel, Luc & Viaud, Valérie & Durand, Patrick & Walter, Christian, 2010. "Modeling spatio-temporal crop allocation patterns by a stochastic decision tree method, considering agronomic driving factors," Agricultural Systems, Elsevier, vol. 103(9), pages 647-655, November.
- Vermaat, Jan E. & Eppink, Florian & van den Bergh, Jeroen C.J.M. & Barendregt, Aat & van Belle, Jasper, 2005. "Aggregation and the matching of scales in spatial economics and landscape ecology: empirical evidence and prospects for integration," Ecological Economics, Elsevier, vol. 52(2), pages 229-237, January.
- You, Liangzhi & Wood, Stanley & Wood-Sichra, Ulrike, 2009. "Generating plausible crop distribution maps for Sub-Saharan Africa using a spatially disaggregated data fusion and optimization approach," Agricultural Systems, Elsevier, vol. 99(2-3), pages 126-140, February.
- Berger, Thomas, 2001. "Agent-based spatial models applied to agriculture: a simulation tool for technology diffusion, resource use changes and policy analysis," Agricultural Economics, Blackwell, vol. 25(2-3), pages 245-260, September.
- Kachele, H. & Dabbert, S., 2002. "An economic approach for a better understanding of conflicts between farmers and nature conservationists--an application of the decision support system MODAM to the Lower Odra Valley National Park," Agricultural Systems, Elsevier, vol. 74(2), pages 241-255, November.
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