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MAgPIE
MAgPIE〔(【引用サイトリンク】title=MAgPIE Mathematical Description )〕 is a non-linear, recursive, dynamic-optimization, global land and water-use model with a cost-minimization objective function. MAgPIE was developed and is employed by the land-use group working at the Potsdam Institute for Climate Impact Research (PIK). It links regional economic information with grid-based biophysical constraints simulated by the dynamic vegetation and hydrology model LPJmL. MAgPIE considers spatially-explicit patterns of production, land use change and water constraints in different world regions, consistently linking economic development with food and energy demand. ==The Model== The model is based on static yield functions in order to model potential crop productivity and its related water use.〔 For the biophysical supply simulation, spatially explicit 0.5° data is aggregated to a consistent number of clusters. Ten world regions represent the demand side of the model. Required calories for the demand categories (food and non-food energy intake) are determined by a cross-sectional country regression based on population and income projections. In order to fulfill the demand, the model allocates 19 cropping and 5 livestock activities to the spatially-explicit land and water resources, subject to resource, management and cost constraints. From 1995 MAgPIE simulates time-steps of 10 years. For each period the optimal land use pattern from the previous period is used as a starting point.〔
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