Cooperation control strategies for China’s cross-region pollution in a lake basin based on green reduction cost

Figures & data

Table 1. Variable definitions.

Variable	Definition
	The production of a pollutant for region i, where .
	The reduction quantity of a pollutant for region i, pollution resource j, where . represent the reduction quantity of a pollutant produced by industry and livelihood, respectively.
	The initial quantities of pollution permits for region i, where .
	The actual quantity of pollution permit requirements for region i, where .
	The price of a unit pollution permit.
	The treatment cost function of a pollutant for region , pollution resource j, where . and represent the treatment costs of a pollutant produced by industry and livelihood, respectively.

Table 2. Cost functions of the three regions.

Region	Treatment Cost of COD Produced by Industry	Treatment Cost of COD Produced by Livelihood	Quadratic Coefficient of Environmental Damage Cost	Monomial Coefficient of Environmental Damage Cost	Constant of Environmental Damage Cost
Shanghai			55979	710041	2267462
Jiangsu			27059	1418603	18679926
Zhejiang			7254	229526	1920568

Table 3. Comparison results of process costs.

Parameter		Shanghai	Jiangsu	Zhejiang
Current COD reduction Quantity (kiloton)	Industrial	260.2	1274.5	1495.1
	Household	633.8	883.6	1018.3
Initial pollution permits (kiloton)		252.1	688.1	479.8
Current treatment cost (million dollars)		8600.8	12177.9	3645.5
Optimal reduction quantity (kiloton)	Industrial	153.3	1120.3	779.8
	Household	275.5	1725.2	1511.5
Optimal pollution permitsrequirement (kiloton)		717.6	0.0	70.3
Optimal treatment cost (million dollars)		8560.7	12161.6	3635.4
Cost reduction percentage		0.47%	0.13%	0.28%