The Model Of Cooperation And Compensation For Dealing With River Network Pollutants Based On The Cost Function

The river basin is a spatial integrity and strengthened region. Not only the contact of the various physical features is extremely closely, but also the restriction and the influence among the upper, middle and lower basin, between the mainstream and tributaries is remarkable. If various areas carry out the regional protectionism, the upstream and downstream will have the water pollution dispute. The problem of river basin water pollution is serious nowadays. In the absence of external pollution and the situation of pollution freely,the upstream which creates to the pollution of downstream doesn't need to compensate, the upstream which pays for the cost of protecting water doesn't receive any compensate, so that they trigger serious water pollution dispute, which have impeded the development of economy and the stability of the society. Hence, how to solve the problem is urgent.At present the domestic and foreign related literatures about regarding the wa-ter pollution main focus on the the problem of water pollution among the upper, middle and lower of a single river. In order to solve the water pollution dispute among the upper, middle and lower, researchers have established systematical mod-els of cooperation and compensation.The result have a certain practical significance for the government of the water pollution. But such a model for the river network have not been established yet.This article draws on the methods that dealing with the problem of water pollution of single river and consider the features of river networks, then establish the model of cooperation and compensation for dealing with river network pollutants. This article includes five chapters.In chapter one, this article mainly introduces a new principle-allocation based on even pollution contribution per flow-as a new principle for allocation of waste water pollutants of river networks, and then establish the fair allocation model for water waste pollutants of river network. a new method-Correlation Matrix that can describe relationship between the various physical features of upper, middle, lower is also introduced. Based on these, Multiple allocations model is established. Comparing with previous allocations models, multiple allocations model distributes water waste pollutants based on the principle more than once.In chapter two, this article establish the model for the allocation of the amount of reduced pollutants discharge, which solve the problem that how to allocate the amount of reduced pollutants once the environmental capacity of pollutants changes.In chapter three, this article induce the cost function of waste water treatment based on both the nature that the function has and the process of waste water treatment. After discussing, we finally come to the following result:the cost of waste water treatment for per unit waste water will convergent to a constant when the amount of the waste water tends to infinity. The total cost of waste water treatment was positively related with disposal rate,initial concentration and the amount of waste water, negatively related with residual concentration.In chapter four, this article establishes the cooperation model aiming to seek the minimal total cost of waste water treatment based on the cost function. This article also establishes the compensation model using the equitable interval method, then calculate the cost of waste water treatment and the compensation in condition of fair allocation,local optima allocation and global optima allocation.In chapter five, we pay attention to a special kind of river network-the river network contains only two tributaries and find that the model established in this article can stimulate the participants in the river network to improve their technology and change their cost function in order to benefit more in the cooperationThe model of cooperation and compensation mentioned in this article has essen-tial practical significance which can avoid our country taking the old way polluting first and then government, reduce the the load of the river, improve the ecological environment quality of the river, solve the dispute, enhance the river's economic potentiality, promote the development of the basin circulation economy.