CN113379110B - Medium-and-long-term runoff forecast result trend testing method - Google Patents
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Abstract
Description
技术领域technical field
本发明申请为申请日2017年11月21日,申请号为:201711163861.1,名称为“一种自 适应的流域中长期径流预报模型架构方法”的发明专利申请的分案申请。本发明涉及一种径 流预报架构方法,具体说是涉及一种中长期径流预报结果趋势检验方法。The application of the present invention is the filing date of November 21, 2017, the application number is: 201711163861.1, and the divisional application of the invention patent application entitled "An adaptive model framework method for medium and long-term runoff forecasting in a river basin". The invention relates to a runoff forecasting framework method, in particular to a method for checking the trend of medium and long-term runoff forecasting results.
背景技术Background technique
径流预报属于水文预报范畴,是应用水文学的一个重要组成部分,它是建立在掌握客 观水文规律的基础上,预见未来径流变化的一门应用科学技术,是水资源调度、水利防汛和抗 旱科学实施的前提。径流预报按预见期可分为短期径流预报和中长期径流预报,一般以流域 汇流时间为界,凡预报的预见期小于或等于流域汇流时间的称为短期预报,预报的预见期大 于流域汇流时间的称为中长期预报。其中,预见期在一天的为中期预报,预见期在一天以上, 一年以内的为长期预报,超过一年的则为超长期预报。Runoff forecasting belongs to the category of hydrological forecasting and is an important part of applied hydrology. It is an applied science and technology that predicts future runoff changes on the basis of mastering objective hydrological laws. prerequisite for implementation. Runoff forecasting can be divided into short-term runoff forecasting and medium- and long-term runoff forecasting according to the forecast period. Generally, it is bounded by the time of watershed confluence. If the forecasted forecast period is less than or equal to the watershed confluence time, it is called short-term forecast, and the forecast forecast period is greater than the watershed confluence time. known as medium and long-term forecasts. Among them, a forecast period of one day is a medium-term forecast, a forecast period of more than one day is a long-term forecast, and a forecast period of more than one year is a long-term forecast.
中长期径流预报就是据己知信息对未来一定时期内的径流状态做出定性或定量的预 测。首先,对影响预报对象的降雨、海表温度、大气环流系统和天气系统进行分析,遴选和确定物 理机制强、相关关系显著的预报因子,以及应用统计计算方法计算彼此的相关关系是否显 著。在此基础上建立相应的预报模型,评价并优选出最优的预报模型。最后,通过模型的模拟 和试报,分析模型的精度,同时对确定性预报结果进行不确定性分析,给出预报结果,从而应 用于生产实践。Medium- and long-term runoff forecasting is to make qualitative or quantitative predictions of the runoff state in a certain period of time in the future based on known information. First, analyze the rainfall, sea surface temperature, atmospheric circulation system and weather system that affect the forecast object, select and determine the predictors with strong physical mechanism and significant correlation, and use statistical calculation methods to calculate whether the correlation between them is significant. On this basis, the corresponding forecasting model is established, and the optimal forecasting model is evaluated and optimized. Finally, through the simulation and trial report of the model, the accuracy of the model is analyzed, and the uncertainty analysis of the deterministic forecast results is carried out, and the forecast results are given, which can be applied to production practice.
准确的中长期径流预报是提高水资源利用率、实现流域水电站优化调度运行和提高水电站 经济效益的重要保障。特别在电力市场改革的背景下,提高中长期预报精度和预见期,编 制科学合理的流域梯级联合优化发电计划,对高效开展流域梯级水库联合调度工作尤为重 要。Accurate mid- and long-term runoff forecast is an important guarantee for improving the utilization rate of water resources, realizing the optimal operation of hydropower stations in the basin, and improving the economic benefits of hydropower stations. Especially in the context of the reform of the power market, it is particularly important to improve the accuracy and forecast period of medium and long-term forecasting, and to formulate a scientific and reasonable cascade joint optimization power generation plan in the basin, which is particularly important for the efficient joint dispatch of basin cascade reservoirs.
近年来随着我们国家大型水利工程的不断建设,对缓解水资源短缺,改善生态环境发挥了 巨大的作用,径流预报对这些重大的工程进行科学、合理、高效的水资源调度起到了至关重要 的作用,充分发挥了这些水利工程的经济效益、社会效益和生态环境效益,确保了工程建设目标 实现。如何更准确的进行径流预报是各项工程水资源运行调度管理中面临的首要课题,也是决定 各项工程成败的关键问题之一。但由于人类活动,气候变化等因素的影响,目前的预报系统在覆 盖范围、预报因子等方面急需完善。特别是下垫面变化条件下,流域各个部分之间的产流机理也 发生了相应的变化,忽略局部差异的方法模拟效果有所下降,此外,目前的组合预报方法缺乏权重 的自我调整,也无法根据预报结果调整更新预报模型。In recent years, with the continuous construction of large-scale water conservancy projects in our country, it has played a huge role in alleviating the shortage of water resources and improving the ecological environment. The role of these water conservancy projects has been brought into full play, and the economic benefits, social benefits and ecological environmental benefits of these water conservancy projects have been brought into full play, and the realization of the project construction goals has been ensured. How to predict runoff more accurately is the primary issue faced in the operation and management of water resources in various projects, and it is also one of the key issues that determine the success or failure of various projects. However, due to the influence of human activities, climate change and other factors, the current forecasting system urgently needs to be improved in terms of coverage and forecasting factors. Especially under the changing conditions of the underlying surface, the runoff mechanism between various parts of the basin has also changed accordingly, and the simulation effect of the method ignoring local differences has declined. The update forecast model cannot be adjusted according to the forecast results.
发明内容SUMMARY OF THE INVENTION
本发明设计了一种自适应的流域中长期径流预报模型架构方法,其解决的技术问题是目 前的预报系统在覆盖范围、预报因子等方面急需完善,在预报过程中没有针对中期预报和长 期预报的差异构建不同的方法,没有根据流域的不同子流域特点建立不同的预报模型,同时, 预报模型本身缺乏自我评价和修改能力,无法及时更新模型组块。The present invention designs an adaptive model framework method for mid- and long-term runoff forecasting in a watershed. The technical problem it solves is that the current forecasting system urgently needs to be improved in terms of coverage, forecasting factors, etc., and there is no medium-term forecasting and long-term forecasting in the forecasting process. Different forecasting models are not established according to the characteristics of different sub-basins of the watershed. At the same time, the forecasting model itself lacks the ability of self-evaluation and modification, so the model blocks cannot be updated in time.
为了解决上述存在的技术问题,本发明采用了以下方案:In order to solve the above-mentioned technical problem, the present invention adopts the following scheme:
1、一种自适应的流域中长期径流预报模型架构方法,包括以下步骤:1. An adaptive model framework method for medium and long-term runoff forecasting in a watershed, comprising the following steps:
步骤1、收集预报流域的基础数据;Step 1. Collect the basic data of the forecast watershed;
步骤2、基于所述基础数据,运用线性回归法建立年流量序列x(t)与其时序t之间的线性回归方程,进而检验时间序列的趋势性;Step 2. Based on the basic data, use the linear regression method to establish a linear regression equation between the annual flow series x(t) and its time series t, and then test the trend of the time series;
步骤3、将流域划分成若干子流域;Step 3. Divide the watershed into several sub-basins;
步骤4、预报因子的识别;Step 4. Identification of predictors;
步骤5、建立预测模型库;Step 5. Establish a prediction model library;
步骤6、通过确定性系数评判,在每一个子流域,对于物理成因法、水文统计法和人工智能三种方法,每种方法各选取一个确定性系数较高的模型,构成该子流域集合预报的组 成;Step 6. Through deterministic coefficient evaluation, in each sub-basin, for the three methods of physical formation method, hydrological statistics method and artificial intelligence, each method selects a model with a higher deterministic coefficient to form an ensemble forecast for the sub-basin. composition;
步骤7、根据步骤6计算的结果,确定物理成因法、水文统计法和人工智能不同方法的 权重值,进行集合预报;Step 7, according to the result calculated in step 6, determine the weight value of different methods of physical formation method, hydrological statistics method and artificial intelligence, and carry out ensemble forecast;
步骤8、运用最小均方根误差算法调整步骤7中权重值,使得各个子流域的预报值和实测值之间的均方根误差达到最小,输出各个子流域的预报值;Step 8, using the minimum root mean square error algorithm to adjust the weight value in step 7, so that the root mean square error between the predicted value of each sub-basin and the measured value is minimized, and the predicted value of each sub-basin is output;
步骤9、根据各子流域的预报值,进行河道演算求得整个流域出口断面的径流过程,完成预报过程;Step 9. According to the forecast value of each sub-basin, carry out channel calculation to obtain the runoff process of the outlet section of the entire watershed, and complete the forecast process;
步骤10、对整个流域预报的结果计算确定性系数;Step 10. Calculate the coefficient of certainty for the prediction result of the entire watershed;
步骤11、每月某一日对前一年逐日预报结果的确定性系数进行趋势检验;Step 11. On a certain day of each month, carry out a trend test on the certainty coefficient of the daily forecast result of the previous year;
步骤12、判断是否需要更新预报因子集和重新选择预报模型。Step 12: Determine whether it is necessary to update the forecast factor set and reselect the forecast model.
进一步,所述步骤1中的所述基础数据包括:Further, the basic data in the step 1 includes:
基础数据A、流域主要控制水文站的日、旬、月、年的流量资料,其用于所述步骤2和所述步骤11中;Basic data A, the daily, ten-day, monthly and annual flow data of the main control hydrological station in the watershed, which are used in the step 2 and the step 11;
基础数据B、各主要控制水文站的旬、月、年最大流量、最小流量特征值及发生时间,第一场径流和最后一场径流过程资料,其用于所述步骤3中;Basic data B, the ten-day, monthly, annual maximum flow, minimum flow characteristic value and occurrence time of each main control hydrological station, the first runoff and the last runoff process data, which are used in the step 3;
基础数据C、流域主要雨量站的日、旬、月、年的降雨,其用于所述步骤4中;Basic data C, the daily, ten-day, monthly and annual rainfall of the main rainfall stations in the basin, which are used in the step 4;
基础数据D、收集74项环流指标,以及欧洲中期天气预报中心ECMWF或美国国家环境预测中心NCEP的数值预报成果和再分析资料的气象影响因子,其用于所述步骤4中。进一步,所述步骤2中,根据步骤1提供的流域主要控制水文站基础数据A构建线性回归方程,该线性回归方程给出时间序列是否具有递增或递减的趋势,并且为:Basic data D. Collect 74 circulation indicators, as well as the numerical forecast results of the European Center for Medium-Range Weather Forecasts ECMWF or the US National Center for Environmental Prediction NCEP and the meteorological impact factors of the reanalysis data, which are used in the step 4. Further, in the step 2, a linear regression equation is constructed according to the basic data A of the watershed main control hydrological station provided in the step 1, and the linear regression equation gives whether the time series has an increasing or decreasing trend, and is:
x(t)=a×t+b;x(t)=a×t+b;
式中:x(t)为时间序列,t为相应时序,a为线性方程斜率,表征时间序列的平均趋势变化 率,b为截距;a和b的值可由最小二乘法进行估计。where x(t) is the time series, t is the corresponding time series, a is the slope of the linear equation, which represents the average trend change rate of the time series, and b is the intercept; the values of a and b can be estimated by the least squares method.
进一步,所述步骤3中将流域划分成若干子流域的标准为:步骤2所判断控制站的流 量变化趋势、各控制站上游子流域的下垫面条件及产流方式都相同的子流域合并为一个子流 域,不同的子流域彼此区分,所述步骤1中所述基础数据B中各主要控制水文站的旬、月、年 最大流量、最小流量特征值及发生时间作为判断下垫面条件及产流方式的条件。Further, in the step 3, the criteria for dividing the watershed into several sub-basins are: the flow change trend of the control station determined in step 2, the underlying surface conditions of the upstream sub-basins of each control station and the sub-basins with the same runoff method are merged. It is a sub-basin, and different sub-basins are distinguished from each other. The ten-day, monthly and annual maximum flow, minimum flow characteristic value and occurrence time of each main control hydrological station in the basic data B in the step 1 are used as the underlying surface conditions for judgment. and the conditions of the mode of abortion.
进一步,所述步骤4中针对不同的子流域分别识别预报因子,所述预报因子包括:前期降水与径流、74项环流指标、气象因子数据、海表温度、太阳活动因子以及人类活动因子;其中,太阳活动因子选择太阳黑子相对数以及相关联的地磁指数、太阳10cm波射电流量作 为预报因子;人类活动通过城市不透水的硬化地面面积和水电站的调度规则反应;气象因子 数据来自于所述步骤1中基础数据D中欧洲中期天气预报中心ECMWF或美国国家环境预测中 心NCEP的数值预报成果和再分析资料;Further, in the step 4, predicting factors are identified for different sub-basins respectively, and the predicting factors include: previous precipitation and runoff, 74 circulation indicators, meteorological factor data, sea surface temperature, solar activity factor and human activity factor; wherein , the solar activity factor selects the relative number of sunspots and the associated geomagnetic index, the solar 10cm wave radio current as the predictor; human activities are reflected by the urban impervious hardened ground area and the scheduling rules of the hydropower station; the meteorological factor data comes from the above steps The numerical prediction results and reanalysis data of the European Center for Medium-Range Weather Forecasts ECMWF or the US National Center for Environmental Prediction NCEP in the basic data D in 1;
采用相关分析法分析不同预报因子和不同子流域流量之间的相关程度,计算公式为:The correlation analysis method is used to analyze the degree of correlation between different forecast factors and different sub-basin flows. The calculation formula is as follows:
相关系数;n为资料样本数;Xi为X的第i个样本值;Yi为Y的第i个样本值;为X的样本均值;为Y的样本均值;X代表某一子流域出口断面的流 量,Y代表某一种预报因子,分别计算不同的预报因子和子流域出口断面流量之间的相关关 系; Correlation coefficient; n is the number of data samples; X i is the ith sample value of X; Y i is the ith sample value of Y; is the sample mean of X; is the sample mean of Y; X represents the flow at the outlet section of a sub-basin, and Y represents a certain forecast factor, and the correlation between different forecast factors and the flow at the outlet section of the sub-basin is calculated respectively;
相关系数RXY的取值范围为[-1,1];RXY大于0,说明预报对象Y和预报因子X之间为正相 关;RXY小于0,说明预报对象Y和预报因子X之间为负相关;RXY等于0,说明预报对象Y和预报 因子X之间不相关;RXY的绝对值越大,预报对象Y和预报因子X之间的相关程度就越高;对 于不同的子流域,选取相关程度排名靠前的10%预报因子作为不同子流域的预报因子集。The value range of the correlation coefficient R XY is [-1,1]; if R XY is greater than 0, it indicates that there is a positive correlation between the forecast object Y and the forecast factor X; if R XY is less than 0, it indicates that there is a positive correlation between the forecast object Y and the forecast factor X negative correlation; RXY equal to 0, indicating that there is no correlation between the forecast object Y and the predictor X ; the greater the absolute value of RXY, the higher the correlation between the forecast object Y and the predictor X; for different subtypes For the watershed, the top 10% of the predictors with the highest degree of correlation were selected as the set of predictors for different sub-basins.
进一步,所述步骤5建立预测模型库包括三大方法:物理成因法、水文统计法和人工智 能法,物理成因法包括多元线性回归模型和多元门限回归模型,水文统计法包括时间序列分 解模型和秩相似预报模型,人工智能模型包括人工神经网络模型和支持向量机模型。Further, the establishment of the prediction model library in step 5 includes three methods: physical genetic method, hydrological statistical method and artificial intelligence method, physical genetic method includes multiple linear regression model and multiple threshold regression model, hydrological statistical method includes time series decomposition model and Rank similarity prediction model, artificial intelligence model including artificial neural network model and support vector machine model.
进一步,所述步骤6中使用的确定性系数公式为:Further, the deterministic coefficient formula used in the step 6 is:
式中:DC为确定性系数,y0(i)为实测值,yc(i)为预报值,为实测序列的均值,m为资料序列 的长度。where DC is the coefficient of certainty, y 0 (i) is the measured value, y c (i) is the predicted value, is the mean value of the measured series, and m is the length of the data series.
进一步,所述步骤7中的计算公式如下:Further, the calculation formula in the step 7 is as follows:
步骤6中物理成因法、水文统计法和人工智能的确定性系数分别为A,B,C,则物理成 因法模拟结果的权重为水文统计法的权重为人工智能法 模拟的权重为则集成预报值为:In step 6, the deterministic coefficients of the physical cause method, hydrological statistics method and artificial intelligence are A, B, and C respectively, then the weight of the simulation result of the physical cause method is The weight of hydrostatistics is The weight of artificial intelligence method simulation is Then the integrated forecast value is:
R=w1y1+w2y2+w3y3 R=w 1 y 1 +w 2 y 2 +w 3 y 3
式中,w1,w2,w3为权重值,y1,y2,y3为各方法的预报值,Ri为各子流域集合预报值。In the formula, w 1 , w 2 , and w 3 are the weight values, y 1 , y 2 , and y 3 are the forecast values of each method, and R i is the ensemble forecast value of each sub-watershed.
进一步,所述步骤11中每月1号对前一年(12个月)逐日预报结果的确定性系数进行趋势检验,确定性系数的检验对象是步骤1中基础数据A逐日预报结果和主要控制水文站的日流量资料,采用坎德尔秩次相关检验法,计算公式为:Further, on the 1st of each month in the step 11, the trend test is carried out on the certainty coefficient of the daily forecast result of the previous year (12 months), and the test object of the certainty coefficient is the daily forecast result of the basic data A in the step 1 and the main control. For the daily flow data of the hydrological station, the Kandel rank correlation test method is used, and the calculation formula is as follows:
式中,U为确定性系数;N为确定性系数序列的总长度,xi,xj为系列中的数值,sgn为符号函数,返回值如果数字大于0,则sgn返回1,数字等于0,则返回0,数字小于0,则返回-1,数字参数的符号决定了sgn函数的返回值;i,j为系列中数值的编号,从1到n;n为系列的长度;τ为常数。In the formula, U is the coefficient of certainty; N is the total length of the deterministic coefficient sequence, x i , x j are the numerical values in the series, sgn is the sign function, the return value If the number is greater than 0, sgn returns 1, if the number is equal to 0, it returns 0, if the number is less than 0, Returns -1, the sign of the numeric parameter determines the return value of the sgn function; i, j are the numbers of the values in the series, from 1 to n; n is the length of the series; τ is a constant.
进一步,所述步骤12中,针对步骤11的计算结果,若|U|>Uα/2且U大于0时,说明确定性系数序列的变化趋势显著,确定性系数序列呈上升趋势,预测结果较好,不需要更新预报因 子集和重新选择预报模型;Further, in the step 12, for the calculation result of the step 11, if |U|>U α/2 and U is greater than 0, it means that the change trend of the deterministic coefficient sequence is significant, the deterministic coefficient sequence is on the rise, and the predicted result Better, no need to update the forecast factor set and re-select the forecast model;
当|U|>Uα/2且U小于0时序列呈下降趋势,说明预报结果有下降趋势,此时返回步骤4 重新识别预报因子集,并重复步骤6-10;When |U|>U α/2 and U is less than 0, the sequence shows a downward trend, indicating that the forecast results have a downward trend. At this time, go back to step 4 to re-identify the forecast factor set, and repeat steps 6-10;
其中,α为显著性水平,通过给定的显著性水平,通过正态分布表查得Uα/2。Among them, α is the significance level, and U α/2 is obtained through the normal distribution table through the given significance level.
该自适应的流域中长期径流预报模型架构方法具有以下有益效果:The adaptive watershed medium and long-term runoff forecasting model framework method has the following beneficial effects:
本发明根据预报流域特征将预报流域划分成不同的子流域分区进行预报;建立不同子 流域的预报因子集;对各个子流域采取集合预报的方法;并通过自适应方法调整预报方法中不 同模型的参数;对子流域的预报结果采用河道演算方法得到最终的流域预报值;周期性检验 预报结果的确定性系数以判定是否需要更新预报因子和预报方法的构成,使用该方法得到的径 流预报结果可为城市防洪或大型水库入流预测提供可靠的依据。The present invention divides the forecasted watershed into different sub-watershed divisions for forecasting according to the characteristics of the forecasted watershed; establishes forecast factor sets of different sub-watersheds; adopts the method of ensemble forecasting for each sub-watershed; parameters; for the forecast results of the sub-basins, the channel calculation method is used to obtain the final forecast value of the basin; the certainty coefficient of the forecast results is periodically checked to determine whether the forecast factors and forecast methods need to be updated, and the runoff forecast results obtained by using this method can be Provide a reliable basis for urban flood control or inflow prediction of large reservoirs.
附图说明:Description of drawings:
图1:本发明自适应的流域中长期径流预报模型架构方法的流程图。Fig. 1 is a flow chart of the method of constructing an adaptive medium and long-term runoff forecast model in a watershed according to the present invention.
具体实施方式Detailed ways
下面结合实施例,对本发明做进一步说明:Below in conjunction with embodiment, the present invention is further described:
步骤1、收集预报流域的基础数据,主要包括:(1)流域主要控制水文站的日、旬、月、年 的流量资料;(2)各控制水文站的旬、月、年最大流量、最小流量特征值及发生时间,第一场径流和 最后一场径流过程资料;(3)流域主要雨量站的日、旬、月、年的降雨;(4)收集74项环流指 标、以及欧洲中期天气预报中心ECMWF或美国国家环境预测中心NCEP的数值预报成果(再分 析资料)等气象影响因子。Step 1. Collect basic data for forecasting the basin, mainly including: (1) daily, ten-day, monthly and annual flow data of the main control hydrological stations in the basin; (2) ten-day, monthly and annual maximum flow, minimum Flow characteristic value and occurrence time, first and last runoff process data; (3) daily, ten-day, monthly and annual rainfall of main rainfall stations in the basin; (4) collection of 74 circulation indicators, and European medium-term weather Meteorological influencing factors such as the numerical forecast results (reanalysis data) of the forecast center ECMWF or the US National Environmental Forecast Center NCEP.
步骤2、对主要控制水文站,运用线性回归法建立年流量序列x(t)与其时序t之间的线 性回归方程,进而检验时间序列的趋势性,该方法可以给出时间序列是否具有递增或递减的 趋势,线性回归方程为:Step 2. For the main control hydrological station, use the linear regression method to establish a linear regression equation between the annual flow series x(t) and its time series t, and then test the trend of the time series. The decreasing trend, the linear regression equation is:
x(t)=a×t+bx(t)=a×t+b
式中:x(t)为时间序列,t为相应时序,a为线性方程斜率,表征时间序列的平均趋势变 化率,b为截距。a和b的值可由最小二乘法进行估计。where x(t) is the time series, t is the corresponding time series, a is the slope of the linear equation, which represents the average trend change rate of the time series, and b is the intercept. The values of a and b can be estimated by the least squares method.
步骤3、将流域划分成若干子流域,划分依据主要包括,步骤2所判断控制站的流量变化 趋势、各控制站上游子流域的下垫面条件及产流方式,都相同的子流域合并为一个子流域,不同条件的子流域彼此区分;Step 3. Divide the watershed into a number of sub-basins. The basis for the division mainly includes: the flow change trend of the control station judged in step 2, the underlying surface conditions and flow-producing methods of the upstream sub-basins of each control station, and the sub-basins that are all the same are merged into A sub-basin, sub-basins with different conditions are distinguished from each other;
步骤4、预报因子的识别,针对不同的子流域分别识别预报因子,预报因子主要包括: 前期降水与径流、74项环流指标、海表温度、太阳活动因子、人类活动因子等,采用相关分析法 分析不同预报因子和不同子流域流量之间的相关程度,计算公式为:Step 4. Identification of forecasting factors. Identifying forecasting factors for different sub-basins. The forecasting factors mainly include: previous precipitation and runoff, 74 circulation indicators, sea surface temperature, solar activity factors, human activity factors, etc., using the correlation analysis method To analyze the degree of correlation between different forecast factors and different sub-basin flows, the calculation formula is:
式中,RXY为X和Y之间的相关系数;n为资料样本数;Xi为X的第i个样本值;Yi为Y的第i 个样本值;为X的样本均值;为Y的样本均值。In the formula, R XY is the correlation coefficient between X and Y; n is the number of data samples; X i is the ith sample value of X; Y i is the ith sample value of Y ; is the sample mean of X ; is the sample mean of Y.
相关系数RXY的取值范围为[-1,1]。RXY大于0,说明预报对象Y和预报因子X之间为正相 关;RXY小于0,说明预报对象Y和预报因子X之间为负相关;RXY等于0,说明预报对象Y和预报 因子X之间不相关。RXY的绝对值越大,预报对象Y和预报因子X之间的相关程度就越高。对于 不同的子流域,选取相关程度排名靠前的10%预报因子作为不同子流域的预报因子集;The value range of the correlation coefficient R XY is [-1,1]. If RXY is greater than 0, it indicates that there is a positive correlation between forecast object Y and predictor X; if RXY is less than 0, it indicates that there is a negative correlation between forecast object Y and predictor X; if RXY is equal to 0, it indicates that forecast object Y and predictor X are negatively correlated. There is no correlation between X. The greater the absolute value of R XY , the higher the degree of correlation between the forecast object Y and the forecast factor X. For different sub-watersheds, select the top 10% of the predictors with the highest degree of correlation as the set of predictors for different sub-watersheds;
步骤5、建立预测模型库,预测模型库主要包括三大方法:物理成因法、水文统计法和人工 智能法,物理成因法包括多元线性回归模型和多元门限回归模型,水文统计法包括时间序列分 解模型和秩相似预报模型,人工智能模型包括人工神经网络模型和支持向量机模型;Step 5. Establish a forecasting model library. The forecasting model library mainly includes three methods: physical cause method, hydrological statistics method and artificial intelligence method. Physical cause method includes multiple linear regression model and multiple threshold regression model, and hydrological statistics method includes time series decomposition. Model and rank similarity prediction model, artificial intelligence model including artificial neural network model and support vector machine model;
步骤6、通过确定性系数评判,在每一个子流域,对于物理成因法、水文统计法和人工智能 三种方法,每种方法各选取一个确定性系数较高的模型,构成该子流域集合预报的组成, 确定性系数公式为:Step 6. Through deterministic coefficient evaluation, in each sub-basin, for the three methods of physical formation method, hydrological statistics method and artificial intelligence, each method selects a model with a higher deterministic coefficient to form an ensemble forecast for the sub-basin. The composition of the coefficient of certainty is as follows:
式中:DC为确定性系数,y0(i)为实测值,yc(i)为预报值,为实测序列的均 值,m为资料序列的长度。where DC is the coefficient of certainty, y 0 (i) is the measured value, y c (i) is the predicted value, is the mean value of the measured series, and m is the length of the data series.
步骤7、根据步骤6计算的结果,确定物理成因法、水文统计法和人工智能不同方法的 权重,进行集合预报,假设步骤6中物理成因法、水文统计法和人工智能的确定性系数分别 为A,B,C,则物理成因法模拟结果的权重为水文统计法的权重为人工智能法模拟的权重为则集成预报值为:Step 7. According to the result calculated in step 6, determine the weights of different methods of physical formation method, hydrological statistical method and artificial intelligence, and carry out ensemble forecasting. It is assumed that the certainty coefficients of physical formation method, hydrological statistical method and artificial intelligence in step 6 are respectively: A, B, C, the weight of the simulation result of the physical cause method is The weight of hydrostatistics is human The weight of artificial intelligence method simulation is Then the integrated forecast value is:
R=w1y1+w2y2+w3y3R=w1y1+w2y2+w3y3
式中,w1,w2,w3为权重值,y1,y2,y3为各方法的预报值,Ri为各子流域集合预报值。In the formula, w 1 , w 2 , and w 3 are the weight values, y 1 , y 2 , and y 3 are the forecast values of each method, and R i is the ensemble forecast value of each sub-watershed.
步骤8、运用最小均方根误差算法调整步骤7中w1,w2,w3的值,使得各个子流域的预报 值和实测值之间的均方根误差达到最小,输出预报值。最小均方根误差算法可用mat lab 程序实现。Step 8. Use the minimum root mean square error algorithm to adjust the values of w 1 , w 2 , and w 3 in step 7, so that the root mean square error between the predicted value and the measured value of each sub-basin is minimized, and the predicted value is output. The minimum root mean square error algorithm can be realized by mat lab program.
步骤9、根据各子流域的预报结果,进行河道演算求得流域出口断面的径流过程,完成预报过程,河道演算可使用马斯金根法或神经网络法;Step 9. According to the forecast results of each sub-basin, carry out the channel routing to obtain the runoff process of the outlet section of the basin, and complete the forecasting process. The channel routing can use the Muskingen method or the neural network method;
步骤10、对流域预报的结果计算确定性系数,公式如步骤6;Step 10. Calculate the coefficient of certainty for the result of the basin forecast, the formula is as in Step 6;
步骤11、每月1号对前一年(12个月)逐日预报结果的确定性系数进行趋势检验,采用 坎德尔秩次相关检验法,计算公式为:Step 11. On the 1st of each month, carry out the trend test on the certainty coefficient of the daily forecast results of the previous year (12 months), adopt the Kandel rank correlation test method, and the calculation formula is:
式中,U为确定性系数N为确定性系数序列的总长度,xi,xj为系列中的数值,sgn为符号函数,返回值如果数字大于0,则sgn返回1,数字等于0,则返回0,数字小于0,则返回-1,数字参数的符号决定了sgn函数的返回值。In the formula, U is the coefficient of certainty N is the total length of the deterministic coefficient sequence, x i , x j are the numerical values in the series, sgn is the sign function, the return value If the number is greater than 0, sgn returns 1, if the number is equal to 0, it returns 0, if the number is less than 0, Returns -1, and the sign of the numeric parameter determines the return value of the sgn function.
步骤12、针对步骤11,判断是否需要更新预报因子集和重新选择预报模型,若|U|>Uα/2且U大于0时,说明确定性系数序列的变化趋势显著,确定性系数序列呈上升趋势,预测结果较好,不需要更新预报因子集和重新选择预报模型。当|U|>Uα/2且U小于0时序列呈下降趋势,说明预报结果有下降趋势,此时返回步骤4重新识别预报因子集,并重复步骤6-10。Step 12: For step 11, determine whether it is necessary to update the forecast factor set and re-select the forecast model. If |U|>U α/2 and U is greater than 0, it means that the change trend of the deterministic coefficient sequence is significant, and the deterministic coefficient sequence is The upward trend, the prediction results are better, and there is no need to update the forecast factor set and re-select the forecast model. When |U|>U α/2 and U is less than 0, the sequence shows a downward trend, indicating that the forecast results have a downward trend. At this time, go back to step 4 to re-identify the predictor set, and repeat steps 6-10.
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| CN107992961A (en) | 2018-05-04 |
| CN113379109B (en) | 2022-04-19 |
| CN113379109A (en) | 2021-09-10 |
| CN113379110A (en) | 2021-09-10 |
| CN107992961B (en) | 2021-04-27 |
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