efficiency evaluation of lp-mola, flp-mola and gp-mola mathematical-spatial optimization models in environmental planning

in recent years, due to absence of integrated watershed management in most regions, natural resources have witnessed numerous damages with severe floods as one of its consequences which further leads to economic, social and environmental damages. presently, there is no optimal utilization of land in most watersheds hence no optimal model matching with facilities and objectives is used in the watersheds. thus, management and planning are essential for the proper utilization, protection and revival of these resources. this study aims to develop some mathematical-spatial optimum utilization environmental plans in watershed using lp, flp and gp mathematical optimization approaches including environmental and economic objectives while considering social issues. about the lp model the results showed that the proposed model can decrease the amount of soil erosion to 9 percent and can increase benefit to 96% respectively. about the flp model the results showed that this proposed model can decrease the amount of soil erosion to 12 percent and can increase benefit to 200% respectively. about the gp model the results showed that the land use optimization can increase benefit to 97% and decrease erosion to 12%, respectively. furthermore the result of performing spatial optimization indicated that people are still making use of land that does not follow the optimized procedure in the current condition. it is obvious land use structure indicate some displacement of land uses because of optimal spatial allocation of them on the basis of fao measurements. in addition to, the results demonstrated the efficiency of the proposed models.