A water resource allocation method and system based on cooperative game under a hierarchical water network

Abstract

The application discloses a water resource allocation method and system based on cooperative game under a hierarchical water network, belongs to the technical field of water resource allocation, and can solve the problem of low allocation efficiency. The method comprises the following steps: constructing a hierarchical water network structure; constructing a water resource allocation model for water supply of a current level water network to multiple current level administrative regions according to multiple water use types of each current level administrative region; performing water resource joint allocation on the multiple current level administrative regions by using the water resource allocation model to obtain multiple allocation schemes, and determining cooperative economic benefits of each current level administrative region in each allocation scheme; performing water resource individual allocation on each current level administrative region by using the water resource allocation model to obtain independent economic benefits of each current level administrative region; determining compensation interests of each current level administrative region in each allocation scheme according to the cooperative economic benefits and the independent economic benefits, and determining an optimal scheme according to the compensation interests. The application is used for water resource allocation.

Description

Technical Field

[0001] This invention relates to a water resource allocation method and system based on cooperative game theory under a hierarchical water network, belonging to the field of water resource allocation technology. Background Technology

[0002] The rational allocation of water resources is crucial for ensuring the water needs of surrounding areas. Water demand in different areas around a river basin exists in a competitive game, but existing water resource allocation methods often treat the river basin as a single entity or simply aggregate the water demands of different areas, neglecting the competitive dynamics between them and the complex interactions between different water use types. This makes it difficult for existing water resource allocation methods to coordinate and balance the water demands of various regions, resulting in low overall water resource utilization efficiency. Summary of the Invention

[0003] This invention provides a water resource allocation method and system based on cooperative game theory under a hierarchical water network, which can solve the problem of low water resource utilization efficiency in existing technologies.

[0004] On the one hand, the present invention provides a water resource allocation method based on cooperative game theory under a hierarchical water network, the method comprising:

[0005] S1. Construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin, wherein the levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions; each level of the water network is used to supply water to the corresponding level of the administrative region.

[0006] S2. Based on the multiple water use types of each current-level administrative region, construct a water resource allocation model for water supply from the current-level water network to the multiple current-level administrative regions. The water resource allocation model is used to maximize the total economic benefits generated by the use of water resources in the multiple current-level administrative regions.

[0007] S3. Using the water resource allocation model, water resources are jointly allocated to the multiple current-level administrative regions to obtain multiple allocation schemes, and the cooperative economic benefits of each current-level administrative region in each allocation scheme are determined based on the Shapley value method.

[0008] S4. Using the water resource allocation model, water resources are allocated separately for each current level of administrative region to obtain the independent economic benefits of each current level of administrative region.

[0009] S5. Determine the compensation benefit for each current level administrative region in each configuration scheme based on the cooperative economic benefits and the independent economic benefits, and determine the optimal scheme from the multiple configuration schemes based on the compensation benefits and multiple evaluation indicators;

[0010] S6. Take the multiple lower-level administrative regions contained in each current level administrative region as new multiple current level administrative regions, and repeat steps S2 to S5 until the optimal solution for each level administrative region is obtained. Perform joint allocation of water resources for the corresponding level administrative regions according to the optimal solution for each level administrative region.

[0011] Optionally, the various water use types include agricultural water use, industrial water use, and domestic water use; S2 specifically includes:

[0012] S21. Determine the agricultural water revenue, industrial water revenue, and domestic water revenue for each current level of administrative region based on the water usage parameters corresponding to the agricultural water use, industrial water use, and domestic water use for each current level of administrative region.

[0013] S22. Construct the water resource allocation model based on the agricultural water use revenue, industrial water use revenue, and domestic water use revenue of each current level of administrative region.

[0014] Optionally, in S21, the agricultural water revenue of each current-level administrative region is determined based on the water use parameters corresponding to the agricultural water use of each current-level administrative region, specifically including:

[0015] Based on the agricultural water use parameters corresponding to each current level of administrative region, the yield per unit area of ​​farmland in each current level of administrative region is determined based on the crop water production function;

[0016] The yield per unit area of ​​farmland is adjusted based on the agricultural water demand of each current-level administrative region during the preset critical irrigation period, and the agricultural water revenue of each current-level administrative region is determined based on the adjusted yield per unit area of ​​farmland.

[0017] Optionally, the yield per unit area of ​​farmland can be adjusted based on the agricultural water demand of each current-level administrative region during a preset critical irrigation period, specifically including:

[0018] The agricultural water supply guarantee rate for the preset irrigation critical period is determined based on the agricultural water demand of each current level administrative region during the preset irrigation critical period.

[0019] An adjustment coefficient is determined based on the agricultural water use guarantee rate, and the yield per unit area of ​​farmland is adjusted based on the adjustment coefficient.

[0020] Optionally, S22 specifically includes:

[0021] An objective function is constructed based on the agricultural water use revenue, industrial water use revenue, and domestic water use revenue of each current level administrative region. The objective function is used to maximize the total economic benefits generated by the use of water resources in the multiple current level administrative regions.

[0022] Constraints are constructed based on the ecological water demand of each current level administrative region and the lower limit of the water demand for agricultural water, industrial water and domestic water corresponding to each current level administrative region;

[0023] The water resource allocation model is constructed based on the objective function and the constraints.

[0024] Optionally, S3 determines the cooperative economic benefits of each current-level administrative region in each configuration scheme based on the Shapley value method, specifically including:

[0025] Determine the total economic benefits of the multiple current-level administrative regions corresponding to each configuration scheme;

[0026] Based on the total economic benefit corresponding to each configuration scheme, the cooperative economic benefit of each current-level administrative region in each configuration scheme is determined using the Shapley value method.

[0027] Optionally, in S5, the compensation benefit for each current-level administrative region in each configuration scheme is determined based on the cooperative economic benefits and the independent economic benefits, specifically including:

[0028] The difference between the independent economic benefits of each current-level administrative region and the cooperative economic benefits of each current-level administrative region in each allocation scheme is determined as the compensation benefit of each current-level administrative region in the corresponding allocation scheme.

[0029] Optionally, the evaluation indicators include the average ecological satisfaction of the multiple current-level administrative regions.

[0030] Optionally, before determining the optimal solution from the plurality of configuration options based on the compensation benefits and multiple evaluation indicators, the method further includes:

[0031] The ecological water use guarantee rate for each current-level administrative region is determined based on the water inflow of the basins where the multiple current-level administrative regions are located.

[0032] Based on the ecological water use guarantee rate and ecological water demand of each current-level administrative region, and the ecological water supply of each configuration scheme to each current-level administrative region, the average ecological satisfaction of the multiple current-level administrative regions corresponding to each configuration scheme is determined.

[0033] On the other hand, the present invention provides a water resource allocation system based on cooperative game theory under a hierarchical water network, the system comprising:

[0034] The hierarchical water network construction module is used to construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin. The levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions; each level of the water network is used to supply water to the corresponding level of administrative region.

[0035] The model building module is used to construct a water resource allocation model for water supply from the current level water network to multiple current level administrative regions based on the various water use types of each current level administrative region. The water resource allocation model is used to maximize the total economic benefits generated by the use of water resources in multiple current level administrative regions.

[0036] The joint allocation module is used to jointly allocate water resources for multiple current-level administrative regions using a water resource allocation model, resulting in multiple allocation schemes, and determining the cooperative economic benefits of each current-level administrative region in each allocation scheme based on the Shapley value method.

[0037] A separate configuration module is used to allocate water resources separately for each current level of administrative region using the water resource allocation model, so as to obtain the independent economic benefits of each current level of administrative region.

[0038] The scheme determination module is used to determine the compensation benefits of each current level of administrative region based on cooperative economic benefits and independent economic benefits, and to determine the optimal scheme from multiple configuration schemes based on the compensation benefits and multiple evaluation indicators;

[0039] The hierarchical configuration module is used to treat multiple lower-level administrative regions contained in each current-level administrative region as new multiple current-level administrative regions, determine the optimal solution for the current-level administrative region, and so on until the optimal solution for each level of administrative region is obtained. Water resources are then jointly allocated to the corresponding level of administrative region according to the optimal solution for each level of administrative region.

[0040] The beneficial effects that this invention can produce include:

[0041] This invention constructs a water resource allocation model based on multiple water use types and uses this model to jointly allocate water resources for all current-level administrative regions, resulting in multiple allocation schemes and the cooperative economic benefits for each current-level administrative region within each scheme. Then, each current-level administrative region is individually allocated, yielding its independent economic benefits. Subsequently, the compensation benefit for each current-level administrative region within each allocation scheme is determined based on the cooperative and independent economic benefits. Finally, the optimal scheme is determined from the multiple allocation schemes based on the compensation benefit and multiple evaluation indicators. This achieves joint water resource allocation for multiple current-level administrative regions and clarifies the impact of each allocation scheme on the interests of each current-level administrative region, thus providing a scientific reference for the selection and implementation of allocation schemes. Based on this, this invention can allocate water resources level by level from high to low until the optimal scheme for each level is obtained, thereby improving the overall water resource utilization efficiency and allocation efficiency of all administrative regions within the basin. Furthermore, this invention can simulate the joint water resource allocation process under different inflow scenarios and different water transfer scenarios, demonstrating broad applicability. Attached Figure Description

[0042] Figure 1 A flowchart of a water resource allocation method based on cooperative game theory under a hierarchical water network provided in an embodiment of the present invention;

[0043] Figure 2 A flowchart illustrating the process of allocating administrative regions at each level from highest to lowest administrative rank;

[0044] Figure 3 This is a schematic diagram illustrating the results of joint water resource allocation for two administrative regions at the same level under a dry season scenario, as provided in an embodiment of the present invention. Detailed Implementation

[0045] The present invention will now be described in detail with reference to the embodiments, but the present invention is not limited to these embodiments.

[0046] This invention provides a water resource allocation method based on cooperative game theory under a hierarchical water network, such as... Figure 1 As shown, the method includes:

[0047] S1. Construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin. The levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions. Each level of the water network is used to supply water to the corresponding level of the administrative region.

[0048] Specifically, this embodiment, based on the water network engineering layout and administrative divisions of the basin, abstracts the backbone water diversion projects, local water sources, and administrative regions at all levels within the basin as nodes; it abstracts the hydraulic connections between backbone water diversion projects, the hydraulic connections between backbone water diversion projects and local water sources, and administrative levels as edges, establishing a topological relationship diagram of backbone water diversion projects, local water sources, and administrative regions at all levels. Simultaneously, it clarifies the characteristic parameters of each node in the topological relationship diagram, including the water diversion capacity of the backbone water diversion projects, the water storage characteristics of administrative regions at all levels, and the water efficiency coefficients for various water use types. Then, based on the topological relationship diagram, a hierarchical water network structure matching the administrative levels is constructed, ensuring a one-to-one correspondence between the levels of the hierarchical water network structure and the levels of the administrative divisions. Each level of the hierarchical water network structure is used to supply water to the corresponding level of the administrative region.

[0049] S2. Based on the multiple water use types of each current-level administrative region, construct a water resource allocation model for the current-level water network to supply water to multiple current-level administrative regions.

[0050] In this embodiment, the various water use types include agricultural water use, industrial water use, and domestic water use.

[0051] S2 specifically includes:

[0052] S21. Based on the water use parameters for agricultural, industrial, and domestic water use corresponding to each current administrative level, determine the agricultural water use revenue, industrial water use revenue, and domestic water use revenue for each current administrative level, specifically including:

[0053] 1. Determine the agricultural water revenue for each current level of administrative region based on the corresponding agricultural water use parameters.

[0054] Specifically, the water use parameters for agricultural water use include the water consumption per unit area of ​​farmland in each current level of administrative region.

[0055] In this embodiment, the process for determining agricultural water use revenue is as follows:

[0056] 1) Based on the agricultural water use parameters corresponding to each current level of administrative region, determine the yield per unit area of ​​farmland in each current level of administrative region based on the crop water production function.

[0057] The crop water production function is a mathematical model that describes the quantitative relationship between crop yield and water input or consumption. It is primarily used for optimizing irrigation regimes, water resource allocation, and decisions regarding insufficient irrigation. The mathematical model for the crop water production function can be the Blank model, Stewart model, Hiller model, Jensen model, Minhas model, or Rao model. This embodiment uses the Jensen model as an example, and the formula for calculating the yield per unit area of ​​farmland for each current administrative level is derived based on the Jensen model:

[0058] (1)

[0059] In formula (1), For the current level of administrative region Yield per unit area of ​​farmland (kg / mu); For the current level of administrative region Water consumption per unit area of ​​farmland (m²) 3 / mu); The parameters for the Jensen model can be determined based on the current administrative level. The planting conditions and crops were determined.

[0060] 2) Determine the agricultural water supply guarantee rate for the preset irrigation critical period based on the agricultural water demand of each current administrative level during the preset critical irrigation period:

[0061] (2)

[0062] In formula (2), For the current level of administrative region Agricultural water supply guarantee rate during the preset critical irrigation period, which corresponds to the stage with the greatest water demand during plant growth; In order to allocate water resources within the basin, the basin is located at the current administrative level. The pre-set critical irrigation period supplies the current level of administrative region Agricultural water supply (100 million m³) 3 ); For the current level of administrative region Agricultural water demand during the pre-set critical irrigation period (100 million m³) 3 ).

[0063] 3) Determine the adjustment coefficient based on the agricultural water use guarantee rate:

[0064] (3)

[0065] In formula (3), For the current level of administrative region Adjustment coefficient; For the current level of administrative region Agricultural water supply guarantee rate during the pre-set critical irrigation period.

[0066] 4) Adjust the yield per unit area of ​​farmland according to the adjustment coefficient:

[0067] (4)

[0068] In formula (4), For the adjusted current level of administrative region Yield per unit area of ​​farmland (kg / mu); For the current level of administrative region Yield per unit area of ​​farmland (kg / mu); For the current level of administrative region Adjustment coefficient.

[0069] 5) Determine the agricultural water revenue for each current administrative level based on the adjusted yield per unit area of ​​farmland:

[0070] (5)

[0071] In formula (5), For the current level of administrative region Agricultural water use revenue (ten thousand yuan). For the adjusted current level of administrative region Yield per unit area of ​​farmland (kg / mu); For the current level of administrative region farmland area (mu); For the current level of administrative region The market price of the planted crops (yuan / kg).

[0072] 2. Determine the industrial water revenue for each current administrative level based on the water usage parameters corresponding to industrial water use in each current administrative level.

[0073] Specifically, the water use parameters for industrial water use include the industrial water use efficiency coefficient for each current administrative level, and the formula for calculating industrial water use revenue is as follows:

[0074] (6)

[0075] In formula (6), For the current level of administrative region Industrial water use revenue (ten thousand yuan). For the current level of administrative region Industrial water use efficiency coefficient (yuan / m³) 3 ); In order to allocate water resources within the basin and supply water to the current level of administrative regions Industrial water supply (100 million m³) 3 ).

[0076] 3. Determine the domestic water revenue for each current level of administrative region based on the corresponding domestic water consumption parameters.

[0077] Specifically, the water use parameters for domestic water use include the domestic water use efficiency coefficient for each current administrative level, and the formula for calculating domestic water use revenue is as follows:

[0078] (7)

[0079] In formula (7), For the current level of administrative region Revenue from domestic water use (ten thousand yuan); For the current level of administrative region Water efficiency coefficient for domestic water use (yuan / m³) 3 ); In order to allocate water resources within the basin and supply water to the current level of administrative regions Domestic water supply (100 million m³) 3 ).

[0080] S22. Construct a water resource allocation model for supplying water from the current level water network to multiple current level administrative regions based on the agricultural water revenue, industrial water revenue, and domestic water revenue of each current level administrative region.

[0081] Specifically, the water resource allocation model is used to optimize water resources to maximize the total economic benefits generated by the use of water resources in multiple administrative regions at the current level. The water resource allocation model includes an objective function and constraints. The objective function is used to optimize the use of water resources to maximize the total economic benefits generated by the use of water resources in multiple administrative regions at the current level, and the constraints are used to constrain the water resource allocation process in each administrative region at the current level.

[0082] In this embodiment, the water resource allocation model is constructed as follows:

[0083] 1. Determine the economic revenue of each current-level administrative region based on its agricultural water use revenue, industrial water use revenue, and domestic water use revenue:

[0084] (8)

[0085] In formula (8), For the current level of administrative region Economic benefits (ten thousand yuan); For the current level of administrative region Agricultural water use revenue (ten thousand yuan). For the current level of administrative region Industrial water use revenue (ten thousand yuan). For the current level of administrative region Revenue from domestic water use (ten thousand yuan).

[0086] 2. Construct an objective function based on the economic benefits of each current administrative level:

[0087] (9)

[0088] In formula (9), The total economic benefits (in ten thousand yuan) generated by the use of water resources in all administrative regions at the current level. For the current level of administrative region Economic benefits (ten thousand yuan); This represents the total number of administrative regions at the current level.

[0089] 3. Construct constraints based on the ecological water demand of each current administrative level, and the lower limits of the corresponding agricultural, industrial, and domestic water demand for each current administrative level. The constraints include:

[0090] 1) Ecological water supply constraints:

[0091] (10)

[0092] In formula (10), In order to allocate water resources within the basin and supply water to the current level of administrative regions Ecological water supply (100 million m³) 3 ); For the current level of administrative region Ecological water use guarantee rate; For the current level of administrative region Ecological water demand (100 million m³) 3 ).

[0093] Among them, the current level of administrative region Ecological water use guarantee rate Based on the current level of administrative region The inflow of water is dynamically adjusted. The less water there is, the lower the ecological water use guarantee rate. For example, the ecological water use guarantee rate during the dry season is lower than that during the wet season.

[0094] 2) Total water balance constraint:

[0095] (11)

[0096] In formula (11), To supply the current level of administrative regions in the basin Water usage type Water supply (100 million m³) 3 ), ; The total available water volume of the basin (100 million m³) 3 ); This represents the total number of administrative regions at the current level.

[0097] 3) Minimum demand constraint:

[0098] (12)

[0099] In formula (12), To supply the current level of administrative regions in the basin Water usage type Water supply (100 million m³) 3 ), ; For the current level of administrative region Water usage type Lower limit of water demand (100 million m³) 3 ).

[0100] S3. Use the water resource allocation model to jointly allocate water resources for multiple current-level administrative regions, obtain multiple allocation schemes, and determine the cooperative economic benefits of each current-level administrative region in each allocation scheme based on the Shapley value method.

[0101] In this embodiment, joint water resource allocation refers to considering the relationships and competition among multiple administrative regions at the same level and among various water use types. The water resource allocation model is used to simulate the joint water resource allocation process among multiple administrative regions at the same level and among various water use types under a cooperative game strategy. The optimization is performed to maximize the total economic benefits generated by the use of water resources by multiple administrative regions at the current level, thereby obtaining the allocation scheme.

[0102] Before the simulation, water usage priorities for various water types can be set according to actual needs. For example, water usage priorities can be set from high to low in the order of domestic water use, ecological water use, agricultural water use, and industrial water use. This embodiment can obtain multiple configuration schemes through a preset number of iterative simulations and calculations.

[0103] Each configuration scheme includes the water supply volume of the basin to each current-level administrative region for each type of water use, as well as the total economic benefits of all current-level administrative regions under the cooperative game strategy.

[0104] Specifically, this embodiment determines the cooperative economic benefit of each current-level administrative region in each configuration scheme based on the total economic benefit corresponding to each configuration scheme and the economic benefit of each current-level administrative region, using the Shapley value method:

[0105] (13)

[0106] In formula (13), For the current level of administrative region The cooperative economic benefit (in ten thousand yuan), that is, the current level of administrative region under the cooperative game strategy. The contribution to the total economic revenue of all administrative regions at the current level; Not including the current level of administrative regions Sub-alliances composed of other current-level administrative regions; For the Alliance Total economic benefits (ten thousand yuan); It is the set of all administrative regions at the current level; This represents the total number of administrative regions at the current level.

[0107] For each configuration scheme, formula (13) calculates the administrative region at the current level. Join the sub-alliance The marginal contribution to total economic returns is then used to determine the current administrative level in the corresponding allocation scheme. The economic benefits of cooperation.

[0108] It is worth noting that under the cooperative game strategy, although the economic benefits of each current-level administrative region can be directly obtained through the water resource allocation model, these economic benefits are based on the objective of maximizing the total economic benefits of all current-level administrative regions. They do not directly reflect the actual contribution of each current-level administrative region to the total economic benefits in the cooperative game; that is, these economic benefits cannot represent the cooperative economic benefits of each current-level administrative region. In subsequent steps, this embodiment will calculate compensation benefits. If these economic benefits are used as the basis for calculating compensation benefits, the compensation mechanism will lack fairness because they do not take into account the actual contribution of each current-level administrative region. Therefore, it is necessary to calculate cooperative economic benefits to provide a more accurate basis for calculating compensation benefits.

[0109] To calculate the economic benefits of cooperation, this embodiment introduces the Shapley value method, which calculates the economic benefits of each current-level administrative region across all possible cooperative sub-alliances from a cooperative game perspective. The marginal contribution of each party is used to determine their fair share of the benefits they deserve in the cooperation, i.e., the economic benefits of the cooperation. This effectively avoids unfair distribution of benefits due to factors such as geographical advantages and water efficiency, and provides a scientific and reasonable basis for the compensation of interests among administrative regions at the current level in subsequent steps.

[0110] S4. Use the water resource allocation model to allocate water resources separately for each current level of administrative region, and obtain the independent economic benefits for each current level of administrative region.

[0111] In this embodiment, water resource allocation by individual means that the relationships and competition between multiple administrative regions at the same level and between multiple water use types are not considered. Instead, the priority and demand of water use for multiple water use types in each current level administrative region are considered in isolation. The water resource allocation model is used to simulate the water resource allocation process under the individual allocation strategy, and the total economic benefits generated by the use of water resources by multiple current level administrative regions are maximized to obtain the independent economic benefits of each current level administrative region.

[0112] S5. Determine the compensation benefit for each current-level administrative region in each allocation scheme based on cooperative and independent economic benefits. Based on the compensation benefit and multiple evaluation indicators, determine the optimal scheme from multiple allocation schemes, specifically including:

[0113] 1. Determine the compensation benefits for each current-level administrative region in each configuration scheme.

[0114] In this embodiment, the difference between the independent economic benefit of each current-level administrative region and the cooperative economic benefit of each current-level administrative region in each configuration scheme is determined as the compensation benefit of each current-level administrative region in the corresponding configuration scheme:

[0115] (14)

[0116] In formula (14), For the current level of administrative region Compensation benefits (ten thousand yuan); For the current level of administrative region The cooperative economic benefits (ten thousand yuan). For the current level of administrative region The independent economic benefit (in ten thousand yuan), i.e., the current level of administrative region under the separate allocation strategy. The economic benefits.

[0117] like That is, the current level of administrative region The economic benefits of cooperation are greater than those of independent economic cooperation, indicating that the joint allocation of water resources under a cooperative game strategy makes the current level of administrative regions more efficient. If there is a benefit, then the interests of other administrative regions at the same level will inevitably be harmed. Therefore, the interests of administrative regions at the current level... Reasonable compensation should be provided to the current level of administrative region that has suffered losses, i.e., the current level of administrative region Compensation should be paid.

[0118] Conversely, if That is, the current level of administrative region The economic benefits of cooperation are less than those of independent economic benefits, indicating that the joint allocation of water resources under a cooperative game strategy results in lower economic benefits for the current administrative region. If the interests of one administrative region are harmed, then other administrative regions at the same level must benefit. Therefore, the benefiting administrative regions at the same level should compensate the other administrative regions at the same level. Provide certain compensation benefits to ensure that the current level of administrative region Receive compensation.

[0119] like That is, the current level of administrative region The economic benefits of cooperation are equal to the economic benefits of independence, at the current administrative level. No compensation is required, nor is any compensation received.

[0120] By calculating the compensation benefits of each current-level administrative region in each configuration scheme, the impact of each configuration scheme on the economic benefits of each current-level administrative region can be clarified. This allows for the assessment of the interest coordination effect of each configuration scheme, enabling decision-makers to comprehensively select the optimal scheme based on factors such as the benefits and losses of each current-level administrative region, and whether the benefiting current-level administrative region can provide compensation benefits.

[0121] In practice, the specific form of compensation can be flexibly chosen by decision-makers based on the resource conditions of each current level of administrative region. For example, compensation can include jobs, cash subsidies, etc. For instance, a benefiting current level of administrative region can provide more jobs to a disadvantaged current level of administrative region, thus compensating the disadvantaged current level of administrative region in the employment field.

[0122] 2. Determine multiple evaluation indicators:

[0123] 1) Total economic benefits generated from water resource utilization by all administrative regions at the current level:

[0124] (15)

[0125] In formula (15), The total economic benefits (in RMB 100 million) generated by all current-level administrative regions using water resources under the cooperative game strategy. For the current level of administrative region The cooperative economic benefits (ten thousand yuan). This represents the total number of administrative regions at the current level.

[0126] 2) Total crop yield of all administrative regions at the current level:

[0127] (16)

[0128] In formula (16), Total crop yield (in ten thousand tons) for all administrative regions at the current level. For the adjusted current level of administrative region Yield per unit area of ​​farmland (kg / mu); For the current level of administrative region farmland area (mu); This represents the total number of administrative regions at the current level.

[0129] 3) Average ecological satisfaction across all administrative regions at the current level:

[0130] (17)

[0131] In formula (17), The average ecological satisfaction rate across all administrative regions at the current level; For the current level of administrative region Ecological satisfaction; This represents the total number of administrative regions at the current level.

[0132] Among them, the current level of administrative region Ecological satisfaction The calculation formula is:

[0133] (18)

[0134] (19)

[0135] In formulas (18) and (19), For the current level of administrative region Ecological satisfaction; For the current level of administrative region The relative satisfaction rate of ecological water use; As a correction factor, when hour, ,otherwise ; In order to allocate water resources within the basin and supply water to the current level of administrative regions Ecological water supply (100 million m³) 3 ); For the current level of administrative region Ecological water demand (100 million m³) 3 ); For the current level of administrative region The ecological water use guarantee rate can be determined based on the current administrative level. The water inflow is dynamically adjusted; the less water inflow, the lower the ecological water use guarantee rate.

[0136] 4) Average agricultural water supply guarantee rate for all current-level administrative regions during the preset critical irrigation period:

[0137] (20)

[0138] In formula (20), The average agricultural water supply guarantee rate for all current-level administrative regions during the preset critical irrigation period; For the current level of administrative region Agricultural water supply guarantee rate during the pre-set critical irrigation period; This represents the total number of administrative regions at the current level.

[0139] 5) Residual profits from the collaboration:

[0140] (twenty one)

[0141] In formula (21), The remaining revenue from cooperation for all current-level administrative regions; The total economic benefits (in RMB 100 million) generated by all current-level administrative regions using water resources under the cooperative game strategy. This represents the total economic benefits (in billions of yuan) generated by water resources in all current-level administrative regions under a single configuration strategy.

[0142] 3. Determine the optimal solution from multiple configuration options based on compensation benefits and multiple evaluation indicators.

[0143] In practice, decision-makers can determine the optimal solution from multiple configuration options based on compensation benefits and multiple evaluation indicators, combined with the actual situation and configuration objectives.

[0144] S6. Take the multiple lower-level administrative regions contained in each current level administrative region as new multiple current level administrative regions, and repeat steps S2 to S5 until the optimal solution for each level administrative region is obtained. Perform joint allocation of water resources for the corresponding level administrative regions according to the optimal solution for each level administrative region.

[0145] Specifically, this embodiment obtains the total water supply of the current-level water network to each current-level administrative region from the optimal solution corresponding to the current-level administrative region. Then, each next-level administrative region contained in each current-level administrative region is taken as a new current-level administrative region, and steps S2 to S5 are repeated for multiple new current-level administrative regions, so that multiple current-level administrative regions can jointly allocate water resources based on the total water supply of their common corresponding upper-level administrative region, thereby obtaining the optimal solution for the current-level administrative region. In this way, administrative regions at all levels are allocated step by step according to the administrative level from high to low until the optimal solution for each level of administrative region is obtained, thereby improving the overall water resource utilization efficiency of all administrative regions in the basin.

[0146] For example, such as Figure 2As shown, the administrative divisions of a certain river basin include two levels: prefecture-level cities and counties. Its corresponding hierarchical water network structure includes two levels: a backbone network and a city-county network. The backbone network supplies water to multiple prefecture-level cities, while the city-county network supplies water to the multiple counties within each prefecture-level city. First, based on the available water volume of the backbone network, a water resource allocation model is used to jointly allocate water resources across multiple prefecture-level cities, obtaining the optimal scheme for the backbone network to supply water to all prefecture-level cities and the water supply share for each prefecture-level city. Then, based on the water supply shares of each prefecture-level city, a water resource allocation model is used to jointly allocate water resources to the multiple counties within each prefecture-level city, obtaining the optimal scheme for the city-county network to supply water to all counties and the water supply share for each county, ultimately yielding the allocation scheme for each level of administrative division.

[0147] It is worth noting that this embodiment can simulate the joint allocation process of water resources under different water inflow scenarios, such as normal water inflow scenarios, low water inflow scenarios, and high water inflow scenarios, as well as the joint allocation process of water resources under different water transfer scenarios, such as scenarios with external water transfer and scenarios without external water transfer, thus having wide applicability. For example, this embodiment simulates the joint allocation of water resources between two administrative regions at the same level under a low water inflow scenario in a certain river basin, obtaining the following results: Figure 3 The combined configuration results are shown. From Figure 3 As can be seen from (a) in the context of a dry season, after joint allocation of water resources, the crop yields in administrative regions A and B decreased, indicating a reduction in agricultural water supply in both regions. This prevents excessive encroachment of agricultural water supply on ecological and other water use types during a dry season. Figure 3 As can be seen from (b) and (c) in the text, after joint allocation of water resources in the dry season, the proportion of agricultural water use in administrative regions A and B decreases, while the proportion of ecological water use increases. This ensures the supply of water for ecological water use and other water use types, thereby coordinating water demand among multiple administrative regions at the same level and among different water use types, and maximizing the total economic benefits of all administrative regions at the same level.

[0148] Another embodiment of the present invention provides a water resource allocation system based on cooperative game theory under a hierarchical water network, the system comprising:

[0149] The hierarchical water network construction module is used to construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin. The levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions; each level of the water network is used to supply water to the corresponding level of administrative region.

[0150] The model building module is used to construct a water resource allocation model for water supply from the current level water network to multiple current level administrative regions based on the various water use types of each current level administrative region. The water resource allocation model is used to maximize the total economic benefits generated by water supply and utilization in multiple current level administrative regions.

[0151] The joint configuration module is used to jointly configure water resources for multiple current-level administrative regions using a water resource allocation model, resulting in multiple configuration schemes, and determining the cooperative economic benefits of water supply for each current-level administrative region in each configuration scheme based on the Shapley value method.

[0152] A separate configuration module is used to allocate water resources separately for each current level of administrative region using the water resource allocation model, so as to obtain the independent economic benefits of water supply for each current level of administrative region.

[0153] The scheme determination module is used to determine the compensation benefits for water supply in each current level of administrative region based on cooperative economic benefits and independent economic benefits, and to determine the optimal scheme from multiple configuration schemes based on the compensation benefits and multiple evaluation indicators.

[0154] The hierarchical configuration module is used to treat multiple lower-level administrative regions contained in each current-level administrative region as new multiple current-level administrative regions, determine the optimal solution for the current-level administrative region, and so on until the optimal solution for each level of administrative region is obtained. Water resources are then jointly allocated to the corresponding level of administrative region according to the optimal solution for each level of administrative region.

[0155] This invention constructs a water resource allocation model based on multiple water use types and uses this model to jointly allocate water resources for all current-level administrative regions, resulting in multiple allocation schemes and the cooperative economic benefits for each current-level administrative region within each scheme. Then, each current-level administrative region is individually allocated, yielding its independent economic benefits. Subsequently, the compensation benefit for each current-level administrative region within each allocation scheme is determined based on the cooperative and independent economic benefits. Finally, the optimal scheme is determined from the multiple allocation schemes based on the compensation benefit and multiple evaluation indicators. This achieves joint water resource allocation for multiple current-level administrative regions and clarifies the impact of each allocation scheme on the interests of each current-level administrative region, thus providing a scientific reference for the selection and implementation of allocation schemes. Based on this, this invention can allocate water resources level by level from high to low until the optimal scheme for each level is obtained, thereby improving the overall water resource utilization efficiency and allocation efficiency of all administrative regions within the basin. Furthermore, this invention can simulate the joint water resource allocation process under different inflow scenarios and different water transfer scenarios, demonstrating broad applicability.

[0156] The above description is merely a few embodiments of this application and is not intended to limit this application in any way. Although this application discloses preferred embodiments as described above, it is not intended to limit this application. Any changes or modifications made by those skilled in the art without departing from the scope of the technical solution of this application using the disclosed technical content are equivalent to equivalent implementation cases and all fall within the scope of the technical solution.

Claims

1. A water resources allocation method based on cooperative game under a hierarchical water network, characterized in that, The method includes: S1. Construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin, wherein the levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions; each level of the water network is used to supply water to the corresponding level of the administrative region. S2. Based on the multiple water use types of each current-level administrative region, construct a water resource allocation model for water supply from the current-level water network to the multiple current-level administrative regions. The water resource allocation model is used to maximize the total economic benefits generated by the use of water resources in the multiple current-level administrative regions. S3. Using the water resource allocation model, water resources are jointly allocated to the multiple current-level administrative regions to obtain multiple allocation schemes, and the cooperative economic benefits of each current-level administrative region in each allocation scheme are determined based on the Shapley value method. S4. Using the water resource allocation model, water resources are allocated separately for each current level of administrative region to obtain the independent economic benefits of each current level of administrative region. S5. Determine the compensation benefit for each current level administrative region in each configuration scheme based on the cooperative economic benefits and the independent economic benefits, and determine the optimal scheme from the multiple configuration schemes based on the compensation benefits and multiple evaluation indicators; S6. Take the multiple lower-level administrative regions contained in each current level administrative region as new multiple current level administrative regions, and repeat steps S2 to S5 until the optimal solution for each level administrative region is obtained. Perform joint allocation of water resources for the corresponding level administrative regions according to the optimal solution for each level administrative region. The multiple evaluation indicators include the average ecological satisfaction of the multiple current-level administrative regions.

2. The method according to claim 1, characterized in that, The various water use types include agricultural water use, industrial water use, and domestic water use; S2 specifically includes: S21. Determine the agricultural water revenue, industrial water revenue, and domestic water revenue for each current level of administrative region based on the water usage parameters corresponding to the agricultural water use, industrial water use, and domestic water use for each current level of administrative region. S22. Construct the water resource allocation model based on the agricultural water use revenue, industrial water use revenue, and domestic water use revenue of each current level of administrative region.

3. The method according to claim 2, characterized in that, S21 determines the agricultural water revenue for each current-level administrative region based on the water use parameters corresponding to the agricultural water use, specifically including: Based on the agricultural water use parameters corresponding to each current level of administrative region, the yield per unit area of ​​farmland in each current level of administrative region is determined based on the crop water production function; The yield per unit area of ​​farmland is adjusted based on the agricultural water demand of each current-level administrative region during the preset critical irrigation period, and the agricultural water revenue of each current-level administrative region is determined based on the adjusted yield per unit area of ​​farmland.

4. The method according to claim 3, characterized in that, The yield per unit area of ​​farmland is adjusted based on the agricultural water demand of each current administrative level during the preset critical irrigation period, specifically including: The agricultural water supply guarantee rate for the preset irrigation critical period is determined based on the agricultural water demand of each current level administrative region during the preset irrigation critical period. An adjustment coefficient is determined based on the agricultural water use guarantee rate, and the yield per unit area of ​​farmland is adjusted based on the adjustment coefficient.

5. The method according to claim 2, characterized in that, S22 specifically includes: An objective function is constructed based on the agricultural water use revenue, industrial water use revenue, and domestic water use revenue of each current level administrative region. The objective function is used to maximize the total economic benefits generated by the use of water resources in the multiple current level administrative regions. Constraints are constructed based on the ecological water demand of each current level administrative region and the lower limit of the water demand for agricultural water, industrial water and domestic water corresponding to each current level administrative region; The water resource allocation model is constructed based on the objective function and the constraints.

6. The method according to claim 1, characterized in that, In S3, the cooperative economic benefits of each current-level administrative region in each configuration scheme are determined based on the Shapley value method, specifically including: Determine the total economic benefits of the multiple current-level administrative regions corresponding to each configuration scheme; Based on the total economic benefit corresponding to each configuration scheme, the cooperative economic benefit of each current-level administrative region in each configuration scheme is determined using the Shapley value method.

7. The method according to claim 1, characterized in that, In S5, the compensation benefits for each current-level administrative region in each configuration scheme are determined based on the cooperative economic benefits and the independent economic benefits, specifically including: The difference between the independent economic benefits of each current-level administrative region and the cooperative economic benefits of each current-level administrative region in each allocation scheme is determined as the compensation benefit of each current-level administrative region in the corresponding allocation scheme.

8. The method according to claim 1, characterized in that, Before determining the optimal solution from the plurality of configuration options based on the compensation benefits and multiple evaluation indicators, the method further includes: The ecological water use guarantee rate for each current-level administrative region is determined based on the water inflow of the basins where the multiple current-level administrative regions are located. Based on the ecological water use guarantee rate and ecological water demand of each current-level administrative region, and the ecological water supply of each configuration scheme to each current-level administrative region, the average ecological satisfaction of the multiple current-level administrative regions corresponding to each configuration scheme is determined.

9. A water resource allocation system based on cooperative game theory under a hierarchical water network, characterized in that, The system includes: The hierarchical water network construction module is used to construct a hierarchical water network structure based on the water network engineering layout and administrative divisions of the basin. The levels of the hierarchical water network structure correspond one-to-one with the levels of the administrative divisions; each level of the water network is used to supply water to the corresponding level of administrative region. The model building module is used to construct a water resource allocation model for water supply from the current level water network to multiple current level administrative regions based on the various water use types of each current level administrative region. The water resource allocation model is used to maximize the total economic benefits generated by the use of water resources in multiple current level administrative regions. The joint allocation module is used to jointly allocate water resources for multiple current-level administrative regions using a water resource allocation model, resulting in multiple allocation schemes, and determining the cooperative economic benefits of each current-level administrative region in each allocation scheme based on the Shapley value method. A separate configuration module is used to allocate water resources separately for each current level of administrative region using the water resource allocation model, so as to obtain the independent economic benefits of each current level of administrative region. The scheme determination module is used to determine the compensation benefits of each current level administrative region based on cooperative economic benefits and independent economic benefits, and to determine the optimal scheme from multiple configuration schemes based on the compensation benefits and multiple evaluation indicators, wherein the multiple evaluation indicators include the average ecological satisfaction of the multiple current level administrative regions; The hierarchical configuration module is used to treat multiple lower-level administrative regions contained in each current-level administrative region as new multiple current-level administrative regions, determine the optimal solution for the current-level administrative region, and so on until the optimal solution for each level of administrative region is obtained. Water resources are then jointly allocated to the corresponding level of administrative region according to the optimal solution for each level of administrative region.

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