Land use structure optimization based on uncertainty fractional joint probabilistic chance constraint programming

Abstract

An uncertainty fractional joint probability chance constraint programming is developed to process land use structure optimization under uncertainty. The model integrate uncertainty programming into fractional programming, and the uncertainty programming include interval programming, fuzzy programming, stochastic programming and joint probability chance constraint programming. The results of the study are a series of land use policies in multiple scenarios with interval and deterministic numbers. The advantage of the model include it can (1) effectively integrate the two objectives of economic benefit maximization and pollution minimization by the fractional programming; (2) effectively process the uncertainty by the corresponding uncertainty programming; (3) reflect the impact of uncertainty on system benefit, pollutant discharge, and land use structure policy; and (4) develop a series of possible scenarios and corresponding feasible plans. The results of the study can help planners or decision makers develop flexible land use policy to address the multi-objective problems of maximum, minimum, and uncertainty. The proposed method is universal and can be extended to other cases.

Appendix

$UB_{i}$ :

the benefit of the unit area of the $i{\text{-}}th$ land use

$x_{i}$ :

the $i{\text{-}}th$ type of land use

$TN_{i}$ :

nitrogen discharge of $i{\text{-}}th$ type of land use

$UI_{i}$ :

the invest for ${\text{i-th}}$ type of land use

$TI$ :

the total governmental invest

$UWC_{i}$ :

the water requirement for the $i{\text{-}}th$ type of land use

$AWC$ :

the water resources of the study area

$UP_{i}$ :

the population in unit area of the $i{\text{-}}th$ type of land use

$TP$ :

the total population of the study area

$UL_{i}$ :

the amount of labor for the $i{\text{-}}th$ type of land use

$AL$ :

the amount of labor in the study area

$AA$ :

the amount of available area in the study area

$MA_{i}$ :

the minimum area of the $i{\text{-}}th$ type of land use of the “planning”

$MFCR$ :

the minimum requirement of the green spaced ratio