Method for evaluating toughness of drainage basin water resource system

Abstract

The invention is suitable for the technical field of water resource management and evaluation, and provides a method for evaluating the toughness of a drainage basin water resource system, which comprises the following steps: analyzing the current situations of drainage basin water resources, social economy and ecological environment, and constructing an evaluation index system from three stages of resistance, restorability and adaptability of the toughness of the drainage basin water resource system; performing standardization processing on the index system by using a maximum and minimum value method; a projection pursuit model based on a sparrow search algorithm is adopted to calculate toughness indexes of each stage and the whole water resource system, and multi-dimensional data is converted into a one-dimensional projection value; constructing a projection index function to solve an optimal projection vector value; and a projection objective function is determined by adopting a projection pursuit model based on a sparrow pursuit algorithm, an optimal projection vector is found finally, and a comprehensive evaluation index of the toughness of the water resource system is calculated. According to the method, the authenticity of original data can be reserved to the maximum extent, the water resource system toughness is defined, and targeted measures are provided for improving the watershed water resource system toughness.

Description

Technical Field

[0001] The present invention belongs to the technical field of water resource management and assessment, and in particular relates to a method for assessing the resilience of a water resource system in a river basin. Background Art

[0002] As a complex system with multiple attributes, the water resources system consists of subsystems such as water resources, social economy, and ecological environment. Under the dual influence of climate change and human activities, its security and stability are seriously threatened. Problems such as water resource shortage, water ecological damage, water environmental pollution, flood disasters, and imbalance between supply and demand occur frequently and are intertwined. In order to cope with related risks, resilience thinking has gradually formed and received attention. That is, when the water resources system is impacted, it is necessary to take rapid response measures to reduce the impact of the impact, restore or basically restore to the original structure and function, and form the ability to resist risks. The resilience of the water resources system refers to the ability of the regional water resources system to resist damage or quickly resume normal operation by relying on self-stabilization and repair after encountering interference from uncertain factors such as natural disasters and economic crises.

[0003] There are currently three main methods for measuring the resilience of water resource systems. The first is the indicator system method, which first establishes an evaluation indicator system, and then uses quantitative methods such as entropy weight method, variable fuzzy set, and intelligent algorithm to assess the resilience level. The second is the model simulation method, which uses mathematical models to simulate the resilience level of water resource systems under different scenarios. The third is the comprehensive evaluation method, which combines the advantages of the indicator system method and the model simulation method to comprehensively assess the resilience of water resource systems. The resilience level is mostly determined by calculating a comprehensive index, which cannot maximize the authenticity of the original data. Combining the sparrow search algorithm and the projection pursuit model to assess the resilience level of the water resource system can fully retain the information in the time dimension contained in the indicator to maximize the authenticity of the original data. Summary of the invention

[0004] The purpose of the present invention is to provide a method for evaluating the resilience of a watershed water resources system, aiming to solve the problems raised in the above-mentioned background technology.

[0005] To achieve the above object, the present invention provides the following technical solutions:

[0006] A method for assessing the resilience of a watershed water resource system includes the following steps:

[0007] Step 1: Analyze the current status of water resources, social economy, and ecological environment in the basin, and construct an evaluation index system for the resilience of the three-order water resources system: resistance, recovery, and adaptability;

[0008] Step 2: Standardize the index system using the maximum and minimum value method;

[0009] Step 3: Use the projection pursuit model based on the sparrow search algorithm to calculate the resilience index of the water resource system at each stage and the overall system, and convert the multidimensional data into a one-dimensional projection value;

[0010] Step 4: construct a projection index function to find the optimal projection vector value;

[0011] Step 5: Use the projection pursuit model based on the sparrow-leaning algorithm to determine the projection objective function, finally find the optimal projection vector, and calculate the comprehensive evaluation index of water resource system resilience.

[0012] Furthermore, in step 2, for the positive indicator, the standardized formula is:

[0013]

[0014] For negative indicators, the standardized formula is:

[0015]

[0016] in, is the normalized value of the original indicator; C ij is the original index value; C max and C min are the maximum and minimum values ​​of the original indicator respectively.

[0017] Furthermore, the specific operations of step 3 are:

[0018] The m-dimensional data is represented by a=(a1,a2,...,a m ) is the projection direction converted into a one-dimensional projection value Z i , the calculation formula is:

[0019]

[0020] in, is the standardized value of the jth original indicator in the i-th group; a is a unit length vector; i is the region, j is the indicator corresponding to each region, m is the total number of indicators, and a j is the jth projection vector.

[0021] Furthermore, the specific operations of step 4 are:

[0022] According to Z i The value of determines the level of resilience of the water resources system, where a is a unit length vector. To determine the optimal value of a, a projection index function Q(a) is constructed, which is expressed as:

[0023] Q(a)=S z D z

[0024] Among them, S Z is the projection value Z i The standard deviation of D Z is the projection value Z i The local density of:

[0025]

[0026] Where E(Z) is the sequence Z i The average value; R is the window radius of the local density, which is (r max +p / 2)≤R≤2p; r(i,j) is the distance between samples, r(i,j)=|Z(i)-Z(j) | ; o(Rr(i,j)) is a unit step function. When R≥r(i,j), the result is 1, and when R<r(i,j), the result is 0; n is the total number of evaluation samples.

[0027] Furthermore, in step 5, the projection objective function is:

[0028]

[0029] Substitute the optimal projection direction value calculated by the projection objective function into the one-dimensional projection value Z i The calculation formula is the comprehensive evaluation index of water resource system resilience.

[0030] Compared with the prior art, the present invention has the following beneficial effects:

[0031] The projection pursuit model based on the sparrow search algorithm in the present invention can fully retain the information of the time dimension contained in the indicator, thereby retaining the authenticity of the original data to the maximum extent. The present invention defines the resilience of the water resource system based on the multiple attributes of the water resource system in the basin, considering the close connection between the water resource system and many systems such as natural resources, social economy, and ecological environment, and combining the uncertainty of risks and disasters. In order to fully retain the original information of the data, a relatively accurate water resource system resilience assessment method is proposed, and targeted measures are proposed to improve the resilience of the water resource system in the basin. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Figure 1 It is a flow chart of the present invention.

[0033] Figure 2 It is a schematic diagram of the method for constructing a watershed water resources system resilience evaluation index system in the present invention. DETAILED DESCRIPTION

[0034] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention.

[0035] The specific implementation of the present invention is described in detail below in conjunction with specific embodiments.

[0036] like Figure 1 and Figure 2 As shown, a method for evaluating the resilience of a watershed water resources system provided by an embodiment of the present invention includes the following steps:

[0037] Step 1: Analyze the current status of water resources, social economy, and ecological environment in the basin, and build an evaluation index system from the three stages of resistance, recovery, and adaptability of the resilience of the basin water resources system based on the theory of sustainable development, the theory of harmony between man and water, and the theory of complex giant systems;

[0038] Step 2: Standardize the index system using the maximum and minimum value method;

[0039] Step 3: Use the projection pursuit model based on the sparrow search algorithm to calculate the resilience index of the water resource system at each stage and the overall system, and convert the multidimensional data into a one-dimensional projection value;

[0040] Step 4: construct a projection index function to find the optimal projection vector value;

[0041] Step 5: Use the projection pursuit model based on the sparrow-sowing algorithm to determine the projection objective function, and finally find the optimal projection vector to calculate the comprehensive evaluation index of water resource system resilience;

[0042] As a preferred embodiment of the present invention, in step 1, taking the Yellow River Basin as an example, data on water resources, social economy, ecological environment, etc. in the Yellow River Basin from 2010 to 2022 are collected to construct an evaluation index system for the resilience of the water resources system in the Yellow River Basin, as shown in Table 1:

[0043] Table 1 Evaluation index system of resilience of water resources system in the Yellow River Basin

[0044]

[0045]

[0046] As a preferred embodiment of the present invention, in step 2, for the positive indicator, that is, the bigger the better type indicator, its standardized formula is:

[0047]

[0048] For negative indicators, that is, the smaller the better indicators, the standardized formula is:

[0049]

[0050] in, is the normalized value of the original indicator; C ij is the original index value; C max and C min are the maximum and minimum values ​​of the original indicator respectively.

[0051] In an embodiment of the present invention, data of the water resource system resilience evaluation index system from 2010 to 2022 are selected, and the collected data are substituted into the above formula to perform standardization on each indicator.

[0052] As a preferred embodiment of the present invention, the specific operation of step 3 is:

[0053] The m-dimensional data is represented by a=(a1,a2,...,a m ) is the projection direction converted into a one-dimensional projection value Z i , the calculation formula is:

[0054]

[0055] in, is the standardized value of the jth original indicator in the i-th group; a is a unit length vector; i is the region, j is the indicator corresponding to each region, m is the total number of indicators, and a j is the jth projection vector.

[0056] As a preferred embodiment of the present invention, the specific operation of step 4 is:

[0057] According to Z i The value of determines the level of resilience of the water resources system, where a is a unit length vector. In order to determine the optimal value of a, a projection index function Q(a) is constructed, which is expressed as:

[0058] Q(a)=S z D z

[0059] Among them, S Z is the projection value Z i The standard deviation of D Z is the projection value Z i The local density of:

[0060]

[0061] Where E(Z) is the sequence Z i The average value; R is the window radius of the local density, which is (rmax +p / 2)≤R≤2p; r(i,j) is the distance between samples, r(i,j)=|Z(i)-Z(j)|; o(Rr(i,j)) is the unit step function, when R≥r(i,j), the result is 1, when R<r(i,j), the result is 0; n is the total number of evaluation samples.

[0062] As a preferred embodiment of the present invention, in step 5, the projection objective function is:

[0063]

[0064] Substitute the optimal projection direction value calculated by the projection objective function into the one-dimensional projection value Z i The calculation formula is the comprehensive evaluation index of water resource system resilience.

[0065] In the embodiment of the present invention, the water resource system resilience values ​​of the nine provinces and regions in the Yellow River Basin are calculated as shown in Table 2:

[0066] Table 2 Water resource system resilience values ​​of provinces and regions in the Yellow River Basin

[0067]

[0068] The calculated resilience values ​​of the resistance dimension of the nine provinces and regions in the Yellow River Basin are shown in Table 3:

[0069] Table 3 Resilience values ​​of resistance dimension in various provinces and regions in the Yellow River Basin

[0070]

[0071] The calculated resilience values ​​of the nine provinces and regions in the Yellow River Basin are shown in Table 4:

[0072] Table 4 Resilience values ​​of the recovery dimension of each province in the Yellow River Basin

[0073]

[0074] The calculated resilience values ​​of the adaptability dimension of the nine provinces and regions in the Yellow River Basin are shown in Table 5:

[0075] Table 5 Resilience values ​​of adaptability dimensions in the Yellow River Basin provinces and regions

[0076]

[0077] In summary, the method for evaluating the resilience of a water resources system in a river basin proposed in the present invention can help decision makers understand the current status of the resilience level of the water resources system in the river basin. This method combines the sparrow search algorithm and the projection pursuit model to evaluate the resilience level of the water resources system, and can fully retain the information of the time dimension contained in the indicator to maximize the authenticity of the original data. The present invention targets the multiple attributes of the water resources system in the river basin, considers the close connection between the water resources system and many systems such as natural resources, social economy, and ecological environment, and combines the uncertainty of risks and disasters to define the resilience of the water resources system. In addition, in order to fully retain the original information of the data, a method for evaluating the resilience of a water resources system with relatively accurate measurement is proposed, which can propose targeted measures to improve the resilience of the water resources system in the river basin.

[0078] The above are only preferred embodiments of the present invention. It should be pointed out that, for those skilled in the art, several modifications and improvements can be made without departing from the concept of the present invention. These should also be regarded as the protection scope of the present invention. These will not affect the effect of the implementation of the present invention and the practicality of the patent.

Claims

1. A method for assessing the resilience of a river basin water resources system, characterized in that: The following steps are involved: Step 1: Analyze the current status of water resources, social economy, and ecological environment in the basin, and construct an evaluation index system for the resilience of the three-order water resources system: resistance, recovery, and adaptability; Step 2: Standardize the index system using the maximum and minimum value method; Step 3: Use the projection pursuit model based on the sparrow search algorithm to calculate the resilience index of the water resource system at each stage and the overall system, and convert the multidimensional data into a one-dimensional projection value; Step 4: construct a projection index function to find the optimal projection vector value; Step 5: Use the projection pursuit model based on the sparrow-leaning algorithm to determine the projection objective function, finally find the optimal projection vector, and calculate the comprehensive evaluation index of water resource system resilience.

2. The method for assessing the resilience of a watershed water resources system according to claim 1, characterized in that: In step 2, for the positive indicator, the standardized formula is: For negative indicators, the standardized formula is: in, is the normalized value of the original indicator; C ij is the original index value; C max and C min are the maximum and minimum values ​​of the original indicator respectively.

3. The method for assessing the resilience of a watershed water resources system according to claim 1, characterized in that: The specific operations of step 3 are: The m-dimensional data is represented by a=(a1,a2,...,a m ) is the projection direction converted into a one-dimensional projection value Z i , the calculation formula is: in, is the standardized value of the jth original indicator in the i-th group; a is a unit length vector; i is the region, j is the indicator corresponding to each region, m is the total number of indicators, and a j is the jth projection vector.

4. The method for assessing the resilience of a watershed water resources system according to claim 1, characterized in that: The specific operations of step 4 are: According to Z i The value of determines the level of resilience of the water resources system, where a is a unit length vector. To determine the optimal value of a, a projection index function Q(a) is constructed, which is expressed as: Q(a)=S z D z Among them, S Z is the projection value Z i The standard deviation of D Z is the projection value Z i The local density of: Where E(Z) is the sequence Z i The average value; R is the window radius of the local density, which is (r max +p / 2)≤R≤2p; r(i,j) is the distance between samples, r(i,j)=|Z(i)-Z(j)|; o(Rr(i,j)) is the unit step function, when R≥r(i,j), the result is 1, when R<r(i,j), the result is 0; n is the total number of evaluation samples.

5. The method for assessing the resilience of a watershed water resources system according to claim 1, characterized in that: In step 5, the projection objective function is: Substitute the optimal projection direction value calculated by the projection objective function into the one-dimensional projection value Z i The calculation formula is the comprehensive evaluation index of water resource system resilience.

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