CN111914430A - Data-based regional hydrological parameter calibration method based on clustering and particle swarm optimization - Google Patents
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Abstract
The invention discloses a method for calibrating hydrological parameters of a region with data based on clustering and particle swarm optimization, which comprises the following steps: collecting soil texture, vegetation coverage, land utilization rate, terrain data, runoff coefficient, total annual evaporation amount, slope and gradient data; dividing the calibration area into calculation units with the square kilometers below 30; determining the underlying surface of each parameter of each computing unit and weather related factors according to the physical characteristics of the parameters of the hydrological model; clustering, analyzing and dividing similar units for each underlying surface factor; calculating hydrological model parameters of all similar units by adopting a particle swarm optimization algorithm to obtain optimal parameters of similar watersheds; the method solves the technical problems that the traditional trial and error method is adopted for determining the hydrological model parameters of the watershed with the data, namely, the parameter values of the hydrological model are continuously adjusted manually to meet the requirement of simulation precision, and the method has artificial subjectivity, low work repeatability, low efficiency and high complexity, is not beneficial to application and popularization of the hydrological model and the like.
Description
Technical Field
The invention belongs to a hydrological parameter calibration technology, and particularly relates to a data regional hydrological parameter calibration method based on clustering and particle swarm optimization.
Background
The hydrological model plays an important role in hydrological law research and production practical problem solving, along with the rapid development of modern scientific technology, the information technology taking computers and communication as the core is widely applied to the fields of hydrological water resources and hydraulic engineering science, so that the research of the hydrological model is rapidly developed and is widely applied to the fields of hydrological basic law research, prevention and control of flood and drought disasters, water resource evaluation and development and utilization, water environment and ecological system protection, climate change, analysis of influences of human activities on the water resources and the water environment and the like. Therefore, the research on how to improve the prediction accuracy of the hydrological model has important scientific significance and application value.
Any model is accompanied by errors and uncertainties, and in the model modeling work, the error sources are large, and the error sources mainly have the following aspects:
(1) errors due to excluded factors
In the modeling process, each link of the whole hydrological process of precipitation-runoff production-confluence needs to be considered in the hydrological model, each link has a plurality of influence factors, and each factor cannot be introduced into the model. The selection of these influencing factors results in a certain prediction error.
(2) Error of measured historical data
The accuracy of the measured data is determined by the advancement and maturity of the measuring technology, and the fitting degree of the model simulation is influenced, so that the prediction accuracy of the model is influenced. These data include not only traditional hydrological (flow) meteorological (rainfall) data, but also factors such as geology, vegetation, soil and land utilization.
(3) Error of parameter
The distributed hydrological model parameters have relatively definite physical significance, the variation range of the parameters is easy to estimate, but the optimal values of the parameters are difficult to determine.
(4) Structural error of model
Incorrect calculation methods adopted in the model design and establishment process, improper time step, improper operation sequence, incomplete or deviated model structure and the like can cause model prediction errors.
In order to eliminate model prediction errors caused by the reasons, parameter calibration is an important link for improving the prediction accuracy of the hydrological model, most of watershed hydrological models, particularly parameters of small and medium watersheds, cannot be determined directly through observation tests, and values of the parameters have a certain relation with underlying surface characteristics of the watersheds but cannot be established with the underlying surface characteristics of the watersheds, so the parameter calibration is still a difficult problem for the watershed hydrological model.
In the prior art, when the method is specifically applied to a watershed with data, the parameter calibration of the hydrological model generally adopts a traditional trial and error method, namely, the parameter value of the hydrological model is continuously adjusted manually to meet the requirement of simulation precision.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the method is used for solving the technical problems that the traditional trial-and-error method is adopted for determining the hydrological model parameters of the watershed with the data in the prior art, namely, the parameter values of the hydrological model are adjusted manually and continuously to meet the requirement of simulation accuracy, the method has artificial subjectivity, low working repeatability, low efficiency and high complexity, the application and popularization of the hydrological model are not utilized, and the like.
The technical scheme of the invention is as follows:
a method for calibrating hydrological parameters of a region with data based on clustering and particle swarm optimization comprises the following steps:
step 1, collecting soil texture, vegetation coverage, land utilization rate, terrain data, runoff coefficient, total annual evaporation amount, slope and gradient data;
step 2, dividing the rating area into calculation units with the length of 30 square kilometers or less;
step 3, determining the underlying surface of each parameter of each computing unit and weather related factors according to the physical characteristics of the parameters of the hydrological model;
step 4, performing cluster analysis on each underlying surface factor, and taking all units with the most similar underlying surface factor area ratio as the same type of targets as similar units;
and 5, calculating hydrological model parameters of all similar units as calibrated hydrological parameters by adopting a particle swarm optimization algorithm based on clustering results.
And 3, setting each parameter underlying surface and weather related factors as follows:
step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps:
a. initializing, classifying each sample into one class, and calculating the distance between every two classes, namely the similarity between the samples;
b. finding the two closest classes among the classes, and classifying the two closest classes into one class;
c. recalculating the similarity between the newly generated class and each old class;
d. and repeating b and c until all sample points are classified into one type, and ending.
Step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps: and (3) carrying out cluster analysis on each influence factor independently, initially setting a distance step length, dividing the influence factors into N classes according to the distance step length, classifying each hydrological model calculation unit into one class according to the factor area ratio of the hydrological model calculation unit, thus obtaining a first layer, expanding the distance step length, adopting the step length x 2, reclassifying the area ratio of the underlying surface influence factor, and repeating the steps until only one class exists at the last.
Step 5, when the particle swarm optimization algorithm is adopted for calculation, the method with the priority of the parameters comprises the following steps: defining position information of particles in a particle swarm algorithm to form a one-dimensional array for all parameters needing to be optimized, determining the classification number corresponding to each parameter to obtain a total optimized parameter set PN, wherein the particles represent a feature array with a dimension of 1 and a length of N, each parameter is configured with a minimum value Pmin, a maximum value Pmax and a step length PStep, the feature array is an integer array with the length of N, Pc is a feature parameter item in the feature array, converting the feature parameter Pc item into a corresponding hydrological parameter value PVal through a decoding operation (PVal ═ Pmin + (Pmax-Pmin) × Pc × PStep), obtaining a flow process of a target node through a hydrological model calculation after the feature array is completely converted into hydrological model parameters by adopting the method, calculating a deterministic coefficient through a flow process and an actual measurement process, and setting the calculated deterministic coefficient as the fitness of the particles, and performing iterative calculation through selection and updating operations of the algorithm until the calculation is completed.
Step 5, when the particle swarm optimization algorithm is adopted for calculation, the parameter-by-parameter optimization method comprises the following steps: and generating an optimized parameter sequence in all parameter sets needing to be optimized by adopting a random method, optimizing the parameters one by one according to the sequence, calculating by adopting a particle swarm algorithm to obtain an optimal value of the parameter at the current position in the current arrangement, fixing the parameter, performing optimized calculation on the next parameter in the arrangement, and finishing the direct arrangement calculation.
The invention has the beneficial effects that:
according to the method, an optimization area is divided into a plurality of independent calculation units, the related influence factors of each unit, which influence the hydrological parameters, are subjected to clustering analysis to obtain similar units, and a clustering algorithm is adopted to realize classification of the similarity basin; and then, parameter calibration of the region with the data is realized by adopting an intelligent optimization algorithm and adopting automatic and intelligent means, and the method has certain universality and can be suitable for most mainstream hydrological models. Therefore, the problem of difficult use of the modern hydrological model due to strong specialization can be effectively solved, and a large number of complicated steps and work for adjusting and calibrating professional manual parameters can be reduced in practical application. The method solves the technical problems that the prior art adopts a traditional trial and error method aiming at the hydrological model parameter determination of the watershed with the information, namely, the parameter value of the hydrological model is continuously adjusted manually to meet the requirement of simulation precision, and the method has artificial subjectivity, low work repeatability, low efficiency and high complexity, does not utilize the application and popularization of the hydrological model and the like.
Detailed Description
A method for calibrating hydrological parameters of a region with data based on clustering and particle swarm optimization comprises the following steps:
step 1, collecting soil texture, vegetation coverage, land utilization rate, terrain data, runoff coefficient, total annual evaporation amount, slope and gradient data;
step 2, dividing the rating area into calculation units with the length of less than 30 square kilometers,
step 3, determining the underlying surface of each parameter of each computing unit and weather related factors according to the physical characteristics of the parameters of the hydrological model;
and 3, setting each parameter underlying surface and weather related factors as follows:
step 4, performing cluster analysis on each underlying surface factor, and taking all units with the most similar underlying surface factor area ratio as the same type of targets as similar units; the basic basis for cluster analysis is "the correlation parameters of computing units with similar underlying surface structures are substantially the same". Based on the idea, clustering analysis is carried out on each underlying surface factor of all the computing units of the drainage basin, and the goal that all units with similar underlying surface factor area ratios are in the same class is achieved.
Clustering, which is a process of clustering similar objects together, is an important method for analyzing and searching data rules of big data at present. Hierarchical clustering is a method for performing clustering layer by layer, and small clusters can be merged and aggregated from bottom to top, or large clusters can be segmented from top to bottom. The invention employs clustering from bottom to top.
Step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps:
a. initializing, classifying each sample into one class, and calculating the distance between every two classes, namely the similarity between the samples;
b. finding the two closest classes among the classes, and classifying the two closest classes into one class;
c. recalculating the similarity between the newly generated class and each old class;
d. and repeating b and c until all sample points are classified into one type, and ending.
Step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps: the hydrological model underlying surface factors are numerous and comprise vegetation, soil, terrain, cultivated land, runoff coefficients and the like, each influence factor is subjected to clustering analysis independently, a distance step is initially set, then the influence factors are divided into N types according to the distance step, each hydrological model calculating unit is classified into one type according to the factor area occupation ratio of the hydrological model calculating unit, the first layer is obtained in this way, the distance step is enlarged, the step size is adopted by 2, the area occupation ratios of the underlying surface influence factors are reclassified, and the rest is done until only one type exists at last.
Since each hydrological model parameter is associated with a plurality of underlying surface factors, each calculation unit forms a table below:
the number of the first action category in the table, the number of the second action category layer, and the grey part of the table body are the category numbers. And when the parameter optimization calculation is carried out, the parameters are considered to be the same when the layer number and the class number of each underlying surface factor in each unit are the same.
And 5, calculating hydrological model parameters of all similar units as calibrated hydrological parameters by adopting a particle swarm optimization algorithm based on clustering results.
The hydrological model parameter optimization calculation is based on a particle swarm optimization algorithm, and the Particle Swarm Optimization (PSO) belongs to one of swarm intelligence algorithms and is designed by simulating the predation behavior of a bird swarm. Assuming that there is only one food in the area (i.e., the optimal solution in the optimization problem in general), the task of the flock is to find this food source. In the whole searching process of the bird group, the other birds can know the position of the bird group through mutual transmission of respective information, whether the bird group finds the optimal solution or not is judged through the cooperation, meanwhile, the information of the optimal solution is transmitted to the whole bird group, and finally, the whole bird group can be gathered around a food source, namely the optimal solution is found, namely the problem convergence.
Although the traditional particle swarm algorithm has better optimizing capability when solving the optimization function; through iterative optimization calculation, an approximate solution can be quickly found; but the basic PSO tends to fall into local optima, resulting in large errors in the results. The optimization calculation partially improves the PSO, and mainly adds the following strategies:
a. perturbation strategy
The perturbation strategy is to add a certain speed value randomly to make the particles move randomly;
wherein k, l and m are three different particles, and C is a parameter
b. Jump strategy
The jump strategy is to randomly negate a certain position value to enable the particles to move randomly;
wherein P isi,minPi,maxIs the minimum and maximum values of the i characteristic component
c. Foreign policy
The external strategy is to add new random particles into the cluster according to a certain random probability;
d. dynamic policy
The conventional PSO velocity calculation formula is:
wherein w is an inertial weight parameter, C1、C2Is a constant parameter
The dynamic strategy improves the traditional formula into:
wherein
For the value of the current speed, it is,
is the speed value of the next time interval, T is the current iteration cycle, T is the maximum iteration cycle, w is the inertia weight parameter, C1、C2Is a constant parameter.
Parameter optimization concept
The position information of the particles in the particle swarm algorithm is defined as a one-dimensional array formed by all parameters to be optimized, for example, WM, FC, and F0 are set as optimized parameters for a hui-river basin, the number of classes corresponding to each parameter is [5,8,3], that is, a total optimized parameter set PN is obtained, i.e., { WM, FC, F0} (5+8+3) ═ 16 (one), and then the particles represent a feature array with a dimension of 1 and a length of 16. Each parameter is configured with a minimum value Pmin, a maximum value Pmax and a step size PStep, the characteristic array is an integer array with the length of 16, Pc is a certain characteristic parameter item in the characteristic array, the characteristic parameter Pc item can be converted into a corresponding EC parameter value PVal through a decoding operation (PVal ═ Pmin + (Pmax-Pmin) × Pc PStep), the characteristic array is completely converted into a hydrological model parameter by adopting the method, a flow process of a target node is obtained through a hydrological model calculation, and a determinacy coefficient obtained through the calculation is set as the fitness of the particle by carrying out the calculation of the determinacy coefficient on the flow process and an actual measurement process. And performing iterative calculation through selection and updating operations of the algorithm until the calculation is completed.
The above technical steps of the invention can find a global optimal solution, but the required time and the calculation capacity are larger, and in order to improve the adoption: parameter optimization thinking-parameter-by-parameter optimization
The optimal thought of parameters one by one is as follows: firstly, a random method is adopted to generate a sequence of optimized parameters in all parameter sets needing to be optimized, then the parameters are optimized one by one according to the sequence, each time one parameter is optimized, the parameter is fixed, and then the next parameter is continuously optimized until all the parameters are optimized. At this time, the position information of the particles in the particle swarm algorithm is defined as a certain parameter to be optimized, for example, regarding a hui-river basin, the parameters of the hydrological model participating in optimization include WM, FC, and F0, the number of classes corresponding to each parameter is [5,8,3], that is, the total optimized parameter set PN { WM, FC, F0} - (5+8+3) ═ 16 (one) is obtained, a parameter sequence PS is generated by a random value, PS is a random arrangement of 16 parameters, and the arrangement of the 16 parameters is sequentially calculated, wherein the particles represent an array with a dimension of 1 and a length of 1. And calculating by adopting a particle swarm algorithm to obtain the optimal value of the parameter of the current position in the current arrangement, then fixing the parameter, performing optimization calculation on the next parameter in the arrangement, and directly finishing the arrangement calculation.
The method has the advantages that the calculation workload can be controlled on the balance time and precision requirements, and a better feasible solution can be found in a shorter time.
Claims (6)
1. A method for calibrating hydrological parameters of a region with data based on clustering and particle swarm optimization comprises the following steps:
step 1, collecting soil texture, vegetation coverage, land utilization rate, terrain data, runoff coefficient, total annual evaporation amount, slope and gradient data;
step 2, dividing the rating area into calculation units with the length of 30 square kilometers or less;
step 3, determining the underlying surface of each parameter of each computing unit and weather related factors according to the physical characteristics of the parameters of the hydrological model;
step 4, performing cluster analysis on each underlying surface factor, and taking all units with the most similar underlying surface factor area ratio as the same type of targets as similar units;
and 5, calculating hydrological model parameters of the similar units by adopting a particle swarm optimization algorithm based on clustering results to obtain the optimal parameters of the similar watersheds.
2. The method for calibrating hydrological parameters of a data-bearing area based on clustering and particle swarm optimization according to claim 1, wherein: and 3, setting each parameter underlying surface and weather related factors as follows:
3. the method for calibrating hydrological parameters of a data-bearing area based on clustering and particle swarm optimization according to claim 1, wherein: step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps:
a. initializing, classifying each sample into one class, and calculating the distance between every two classes, namely the similarity between the samples;
b. finding the two closest classes among the classes, and classifying the two closest classes into one class;
c. recalculating the similarity between the newly generated class and each old class;
d. and repeating b and c until all sample points are classified into one type, and ending.
4. The method for calibrating hydrological parameters of a data-bearing area based on clustering and particle swarm optimization according to claim 1, wherein: step 4, the method for carrying out cluster analysis on each underlying surface factor comprises the following steps: and (3) carrying out cluster analysis on each influence factor independently, initially setting a distance step length, dividing the influence factors into N classes according to the distance step length, classifying each hydrological model calculation unit into one class according to the factor area ratio of the hydrological model calculation unit, thus obtaining a first layer, expanding the distance step length, adopting the step length x 2, reclassifying the area ratio of the underlying surface influence factor, and repeating the steps until only one class exists at the last.
5. The method for calibrating hydrological parameters of a data-bearing area based on clustering and particle swarm optimization according to claim 1, wherein: step 5, when the particle swarm optimization algorithm is adopted for calculation, the method with the priority of the parameters comprises the following steps: defining position information of particles in a particle swarm algorithm to form a one-dimensional array for all parameters needing to be optimized, determining the classification number corresponding to each parameter to obtain a total optimized parameter set PN, wherein the particles represent a feature array with a dimension of 1 and a length of N, each parameter is configured with a minimum value Pmin, a maximum value Pmax and a step length PStep, the feature array is an integer array with the length of N, Pc is a feature parameter item in the feature array, converting the feature parameter Pc item into a corresponding hydrological parameter value PVal through a decoding operation (PVal ═ Pmin + (Pmax-Pmin) × Pc × PStep), obtaining a flow process of a target node through a hydrological model calculation after the feature array is completely converted into hydrological model parameters by adopting the method, calculating a deterministic coefficient through a flow process and an actual measurement process, and setting the calculated deterministic coefficient as the fitness of the particles, and performing iterative calculation through selection and updating operations of the algorithm until the calculation is completed.
6. The method for calibrating hydrological parameters of a data-bearing area based on clustering and particle swarm optimization according to claim 1, wherein: step 5, when the particle swarm optimization algorithm is adopted for calculation, the parameter-by-parameter optimization method comprises the following steps: and generating an optimized parameter sequence in all parameter sets needing to be optimized by adopting a random method, optimizing the parameters one by one according to the sequence, calculating by adopting a particle swarm algorithm to obtain an optimal value of the parameter at the current position in the current arrangement, fixing the parameter, performing optimized calculation on the next parameter in the arrangement, and finishing the direct arrangement calculation.
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