Pareto Optimal Land-use Patterns with Three Conflicting Benefits in an Area to the South of Liupan Mountain
Qin Xiangdong1,2,Min Qingwen1,Li Wenhua1,Geng Yanhui1(1.Institute of Geographic Sciences and Natural Resources Research,CAS,Beijing 100101,China;2.Graduate University of Chinese Academy of Sciences,Beijing 100049,China)
Optimal spatial patterns of land use and the associated optimal benefits are one of the key topics in land resources utilization,landscape ecology and sustainability science.However,research on this topic hasn't made significant progress for many years in its optimization methodology,especially in multi-objective land-use optimization intending to systematically obtain all Pareto optimal solutions.This paper carried out an exploratory research on this frontier topic by optimizing a land-use pattern located in the south to Liupan Mountain in Jinghe watershed,China,with a total area of 300 km2,dominated by woodland,grassland and cultivated land.The research tried to maximize three objective functions of conflicting benefits(the average land productive potential of six crops,the total quantity of soil conservation,and sustainable habitat area for small woodland birds),by spatially reallocating woodland,grassland and cultivated land.Based on the grid data,the paper presented a strict mathematical formulation of land-use patch and pattern,simplified constraint of land suitability,land-use pattern optimization,and general conception of multi-objective optimization of land-use pattern.Spatial pattern of land-use was defined as an unknown function,with location and land-use type as its independent variable and dependent variable,respectively.Consequently,objective benefit subjected to optimization was defined as a function of this unknown pattern function,i.e.benefit functional.According to this mathematical representation,calculation approaches and calculation results of three sub-objectives for land-use were presented,including sustainable habitat area for small woodland birds on the basis of habitat network and ESLI(Ecologically Scaled Landscape Indices).Solution space of this three-objective optimization is a Pareto optimal front surface,which was demonstrated intuitively through its perspective drawing in 3-dimensional space,including some associated Pareto optimal land-use patterns.These optimization results(solution space) of the study area were analyzed through a general mode of "seven-section analysis" proposed,to get information about distribution and structure of the solution space relative to function values of original pattern,including the equilibrium optimal section and an equilibrium optimal pattern(with objective values all greater than those of original pattern) on it.The analysis conclusion of the equilibrium optimal section and pattern revealed to agree with qualitative analysis obtained from the original pattern map,land suitability map,and other parameter maps for calculation.This indicated that the model and the algorithm for the multi-objective optimization of land-use pattern are relatively reasonable.
【Fund】： National Basic Research Program of China(973 Program)(No.973-2002CB111506)
【CateGory Index】： F301
【CateGory Index】： F301