CN116681169A - Method for evaluating influence of extreme climate on crop yield - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及一种农作物产量的预测方法,具体地说是一种极端气候对作物产量影响的评估方法。The invention relates to a method for predicting crop yields, in particular to a method for evaluating the impact of extreme climate on crop yields.
背景技术Background technique
在制约农业生产的自然资源中,气候条件是最为重要的组成部分。气候变化对农业生产的影响已引起各国科学家们的广泛关注和高度重视。随着全球气候变暖,极端气候事件频发产生的农业气象灾害(包括高温热害、低温冻害、干旱、洪涝)对作物生产造成了严重影响。因此,准确模拟和评估极端气候事件对作物产量的影响是理解和预测未来气候变化对农业生产影响的前提和基础。Among the natural resources that restrict agricultural production, climatic conditions are the most important component. The impact of climate change on agricultural production has attracted widespread attention and great attention from scientists from all over the world. With global warming, the agrometeorological disasters (including high temperature heat damage, low temperature freeze damage, drought and flood) caused by frequent extreme climate events have seriously affected crop production. Therefore, accurately simulating and assessing the impact of extreme climate events on crop yield is the premise and basis for understanding and predicting the impact of future climate change on agricultural production.
过去几十年里,基于过程机理的作物模型的开发和发展日趋完善,并越来越广泛地被利用于评估和量化气候变化对作物生产(包括物候、产量和耗水等)的影响。然而,现有作物机理模型主要模拟常态气候条件和气候变化下作物的生长过程和产量形成,缺乏考虑作物生产对极端气候事件的响应过程,这就常常使得模型模拟结果低估了气候变化对作物产量的负面影响。Over the past few decades, the development and development of crop models based on process mechanisms has become more and more perfect, and has been widely used to assess and quantify the impact of climate change on crop production (including phenology, yield and water consumption, etc.). However, the existing crop mechanism models mainly simulate the growth process and yield formation of crops under normal climate conditions and climate change, and lack of consideration of the response process of crop production to extreme climate events, which often makes the model simulation results underestimate the impact of climate change on crop yield. negative impact.
发明内容Contents of the invention
本发明的目的就是提供一种极端气候对作物产量影响的评估方法,以能够有效地评价不同极端气候因子(包括:高温、低温、强降水和干旱)对作物产量的综合影响。The purpose of the present invention is to provide a method for evaluating the impact of extreme climate on crop yield, so as to effectively evaluate the comprehensive influence of different extreme climate factors (including: high temperature, low temperature, heavy precipitation and drought) on crop yield.
本发明的目的是这样实现的:The purpose of the present invention is achieved like this:
一种极端气候对作物产量影响的评估方法,包括以下步骤:A method for assessing the impact of extreme climate on crop yield, comprising the following steps:
S1、在被测区域内确定若干研究站点,收集各研究站点的历史气象数据、土壤资料数据和作物资料数据,将上述数据输入作物机理模型APSIM,采用试错法确定作物机理模型APSIM的参数值,并根据各研究站点观测的作物物候和产量数据,对确定的模型参数进行校正和验证;S1. Determine a number of research sites in the measured area, collect historical meteorological data, soil data and crop data of each research site, input the above data into the crop mechanism model APSIM, and use the trial and error method to determine the parameter values of the crop mechanism model APSIM , and based on the crop phenology and yield data observed at each research site, the determined model parameters were corrected and verified;
S2、利用校正好参数的作物机理模型APSIM对各研究站点在长时间序列下的作物生育期、作物产量和作物生物量进行模拟,以获得作物生育期、作物产量和作物生物量的模拟值;S2. Use the crop mechanism model APSIM with corrected parameters to simulate the crop growth period, crop yield and crop biomass of each research site under the long-term sequence, so as to obtain the simulated values of crop growth period, crop yield and crop biomass;
S3、根据作物在不同生长阶段容易受到的极端气候事件,选择极端气候指数,并在作物机理模型APSIM输出作物关键生育期模拟值的基础上,利用气象观测数据来计算并确定作物不同生长阶段的极端气候指数;S3. According to the extreme climate events that crops are susceptible to in different growth stages, select the extreme climate index, and on the basis of the simulated value of crop key growth period output by the crop mechanism model APSIM, use meteorological observation data to calculate and determine the crops in different growth stages extreme climate index;
S4、利用遗传算法从包括极端高温指数、极端低温指数和极端降雨指数这三类极端气候指数中选择出对作物产量模拟效果最好的极端气候指数组合;S4. Use the genetic algorithm to select the extreme climate index combination with the best crop yield simulation effect from the three extreme climate indices including extreme high temperature index, extreme low temperature index and extreme rainfall index;
S5、将步骤S2获得的作物生物量模拟值以及步骤S4优选的极端气候指数组合一并输入随机森林(RF)机器学习模型,建立起基于特征选择、机器学习和作物模型的混合模型;利用该混合模型模拟被测区域在极端气候条件下的作物产量,并根据各研究站点观测的作物产量数据,评价混合模型的产量模拟水平;最后,通过混合模型输出结果,评估被测区域关键极端气候指数对作物产量模拟的相对贡献。S5, input the simulated value of crop biomass obtained in step S2 and the preferred extreme climate index combination of step S4 into the random forest (RF) machine learning model, and set up a hybrid model based on feature selection, machine learning and crop model; use this The hybrid model simulates the crop yield of the measured area under extreme climate conditions, and evaluates the yield simulation level of the hybrid model based on the crop yield data observed at each research site; finally, evaluates the key extreme climate index of the measured area through the output of the hybrid model Relative contribution to crop yield simulations.
进一步地,所述极端高温指数包括高温日数(HD)、高温强度(HSI)和高温持续指数(HCD);所述极端低温指数包括霜冻日数(FD)、霜冻强度(CSI)和冷持续指数(FCD);所述极端降雨指数包括强降水日数(R25)、持续湿润指数(CWD)和持续干燥指数(CDD)。Further, the extreme high temperature index includes high temperature days (HD), high temperature intensity (HSI) and high temperature duration index (HCD); the extreme low temperature index includes frost days (FD), frost intensity (CSI) and cold duration index ( FCD); the extreme rainfall index includes heavy precipitation days (R25), continuous wet index (CWD) and continuous dry index (CDD).
针对三类极端气候指数,分别计算其在不同作物生长阶段的值;极端高温指数的计算期间为:拔节到开花(JF)以及开花到成熟(FM)这两个阶段;极端低温指数的计算期间为:播种到拔节(SJ)以及拔节到开花(JF)这两个阶段;极端降雨指数的计算期间为:播种到拔节(SJ)、拔节到开花(JF)以及开花到成熟(FM)这三个阶段;按照三类极端气候指数与作物不同生长阶段的组合,共获得21个极端气候指数。For the three extreme climate indices, calculate their values in different crop growth stages; the calculation period of the extreme high temperature index is: jointing to flowering (JF) and flowering to maturity (FM); the calculation period of the extreme low temperature index is There are two stages: from seeding to jointing (SJ) and from jointing to flowering (JF); the calculation period of extreme rainfall index is: from seeding to jointing (SJ), from jointing to flowering (JF) and from flowering to maturity (FM). According to the combination of three types of extreme climate indices and different growth stages of crops, a total of 21 extreme climate indices were obtained.
进一步地,将作物生物量模拟值以及优选的极端气候指数组合作为预测变量,以观测产量作为目标值,对随机森林(RF)机器学习模型进行训练,以确定随机森林(RF)机器学习模型中的关键参数值,构建出基于特征选择、机器学习和作物模型的混合模型。Further, the crop biomass simulation value and the preferred extreme climate index combination are used as predictor variables, and the observed yield is used as the target value to train the random forest (RF) machine learning model to determine the random forest (RF) machine learning model. A hybrid model based on feature selection, machine learning and crop model is constructed.
进一步地,步骤S5中的混合模型的作物产量模拟水平是利用均方根误差(RMSE)和相关系数(R2)予以评价;Further, the crop yield simulation level of the hybrid model in step S5 is evaluated by using root mean square error (RMSE) and correlation coefficient (R 2 );
S5-1均方根误差(RMSE)的计算公式为:The calculation formula of S5-1 root mean square error (RMSE) is:
其中,Xobs,i是作物观测产量,Xmodel,i是作物模拟产量,i是研究站点数(1,2,......,N);Among them, X obs,i is the observed yield of crops, X model,i is the simulated yield of crops, and i is the number of research sites (1,2,...,N);
S5-2相关系数(R2)的计算公式为:The calculation formula of S5-2 correlation coefficient (R 2 ) is:
其中,是观测产量的平均值in, is the average of the observed yields
机器学习算法凭借其在处理非线性问题上的优势,已经在作物产量预测建模上得到广泛的应用。机器学习算法以数据为对象,它通过提取数据特征,发现数据中的知识并抽象出模型,做出对数据的预测。开展机器学习任务前,通常要对获取的数据先进行特征选择,去除允余特征,降低学习任务难度。本发明使用遗传算法对候选极端气候指数进行特征选择。With its advantages in dealing with nonlinear problems, machine learning algorithms have been widely used in crop yield prediction modeling. The machine learning algorithm takes data as the object. It extracts the data features, discovers the knowledge in the data and abstracts the model to make predictions on the data. Before carrying out a machine learning task, it is usually necessary to perform feature selection on the acquired data to remove the allowable features and reduce the difficulty of the learning task. The present invention uses a genetic algorithm to perform feature selection on candidate extreme climate indices.
遗传算法(GA)是一种基于自然选择和遗传学机理的生物进化过程搜索最优解的方法。该算法是从一组经过编码的个体所组成的候选解集开始,按照适者生存和优胜劣汰的原理,逐代演化产生出越来越好的近似解。在每一代,根据问题域中个体的适应度大小选择个体,并借助于遗传算子进行组合交叉和变异,产生出代表新的解集的种群。重复这一过程,直到满足某种收敛指标为止。利用R语言软件中的Caret程序包进行特征提取,其中种群数量(popSize)设置为50,交叉概率(pcrossover)设置为0.8,突变概率(pmutation)设置为0.1。Genetic Algorithm (GA) is a method to search for the optimal solution in the process of biological evolution based on natural selection and genetic mechanism. The algorithm starts from a candidate solution set composed of a group of coded individuals, and evolves from generation to generation to produce better and better approximate solutions according to the principles of survival of the fittest and survival of the fittest. In each generation, individuals are selected according to their fitness in the problem domain, and combined crossover and mutation are performed with the help of genetic operators to generate a population representing a new solution set. This process is repeated until some convergence metric is met. Feature extraction was performed using the Caret package in the R language software, where the population size (popSize) was set to 50, the crossover probability (pcrossover) was set to 0.8, and the mutation probability (pmutation) was set to 0.1.
作物机理模型(APSIM)是一种能够模拟农业系统各主要组分的农业生产系统模拟模型,该模型可用于模拟农业系统中作物生长过程及土壤水氮的动态,特别适用于评价农作系统生产潜力及耕作措施的产量效益受气候波动和环境变化的影响。APSIM模型可以让用户很方便地通过选择一系列的作物、土壤以及其它子模块来配置自己的作物模型。模块之间的逻辑关系可以非常简单地通过模块的“插拔”功能来规定。因其具有灵活性和可操作性的特点,APSIM模型被认为是一个模型系统的灵活软件环境。Plant Mechanism Model (APSIM) is a simulation model of agricultural production system that can simulate the main components of the agricultural system. This model can be used to simulate the crop growth process and the dynamics of soil water and nitrogen in the agricultural system. The potential and yield benefits of farming practices are affected by climate fluctuations and environmental changes. The APSIM model allows users to easily configure their own crop models by selecting a range of crops, soils, and other sub-modules. The logical relationship between modules can be specified very simply through the "plug-in" function of the modules. Because of its flexibility and operability, the APSIM model is considered as a flexible software environment for a model system.
随机森林(RF)模型是一种通过集成学习法组合多个互不相关决策树的机器学习算法。RF模型利用Bootstrap重抽样方法从原始数据中抽取多个样本,并对每个Bootstrap样本构建基预测器(如CART),然后对所有基预测器的预测结果进行组合,并通过投票方式得出最终结果。利用R语言软件中的randomforest程序包进行RF建模。在RF模型中,有两个主要参数需要设置:树的棵数(ntree)和树节点抽选的变量个数(mtry)。通过选取候选调优参数值的集合,来对模型进行调优。The Random Forest (RF) model is a machine learning algorithm that combines multiple uncorrelated decision trees through ensemble learning. The RF model uses the Bootstrap resampling method to extract multiple samples from the original data, and constructs a base predictor (such as CART) for each Bootstrap sample, then combines the prediction results of all base predictors, and obtains the final result by voting. result. The RF modeling was performed using the randomforest package in the R language software. In the RF model, there are two main parameters that need to be set: the number of trees (ntree) and the number of variables selected by tree nodes (mtry). The model is tuned by selecting a set of candidate tuning parameter values.
本发明基于特征选择的方法优选出影响作物生长的关键极端气候因子,结合机器学习算法和作物机理模型模拟,可以充分考虑极端气候条件对作物产量的影响,进而提高气候变化背景下作物产量的模拟能力。The method based on feature selection in the present invention optimizes the key extreme climate factors that affect crop growth, combined with machine learning algorithms and crop mechanism model simulation, can fully consider the impact of extreme climate conditions on crop yield, and then improve the simulation of crop yield under the background of climate change ability.
本发明利用研究站点的气象数据、土壤资料和作物管理措施数据驱动APSIM作物机理模型,对不同研究站点长时间序列下的作物产量进行模拟;并利用气象观测数据计算极端气候指数,利用遗传算法特征选择方法优选出对作物产量模拟效果最好的极端气候指数组合;将作物生物量模拟值和优选的极端气候指数组合输入随机森林模型,建立基于特征选择、机器学习和作物模型的混合模型,利用混合模型模拟考虑极端气候条件下的作物产量,并评估关键极端气候指数的贡献,对理解和预测未来气候变化对农业生产的影响和提出适应气候变化的应对措施具有重要意义。The present invention drives the APSIM crop mechanism model by using meteorological data, soil data and crop management measure data of research stations, and simulates crop yields under long-term sequences of different research stations; and uses meteorological observation data to calculate extreme climate indices, and utilizes genetic algorithm features The selection method optimizes the extreme climate index combination with the best simulation effect on crop yield; input the simulated value of crop biomass and the optimized extreme climate index combination into the random forest model, and establish a hybrid model based on feature selection, machine learning and crop model. Mixed model simulations considering crop yields under extreme climate conditions and assessing the contribution of key extreme climate indices are of great significance for understanding and predicting the impact of future climate change on agricultural production and proposing countermeasures for adapting to climate change.
附图说明Description of drawings
图1是本发明评估方法的流程图。Fig. 1 is a flowchart of the evaluation method of the present invention.
图2是作物模型和混合模型的模拟表现图;其中,(a)是本发明作物模型模拟冬小麦产量验证图,(b)是混合模型模拟冬小麦产量验证图。Fig. 2 is the simulation performance figure of crop model and mixed model; Wherein, (a) is the verification figure of crop model simulation winter wheat yield of the present invention, (b) is the verification figure of mixed model simulation winter wheat yield.
图3是冬小麦生育期、产量和生物量的APSIM模型模拟值的时间序列图。Fig. 3 is a time series diagram of APSIM model simulation values of growth period, yield and biomass of winter wheat.
图4是21个极端气候指数的时间序列图。Figure 4 is a time series graph of 21 extreme climate indices.
图5是关键极端气候指数对作物产量模拟的相对贡献图。Figure 5 is a plot of the relative contribution of key extreme climate indices to crop yield simulations.
具体实施方式Detailed ways
下面结合附图和实施例对本发明作进一步详述。The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments.
实施例:Example:
如图1所示,以华北地区作为被测区域,对该区域的极端气候对冬小麦产量的影响进行评估,评估方法如下:As shown in Figure 1, taking North China as the measured area, the impact of extreme climate in this area on winter wheat yield is evaluated, and the evaluation method is as follows:
S1、在华北地区内确定下列32个研究站点(见表1),收集各研究站点的历史气象数据、土壤资料数据和作物数据。历史气象数据为1981–2009的详细气候数据,包括日最高温、最低温、辐射和降雨量等。土壤资料数据包括土壤有机质含量、田间持水量等。作物数据包括冬小麦物候期、产量、品种和施肥灌溉管理措施等。S1. Determine the following 32 research sites (see Table 1) in North China, and collect historical meteorological data, soil data and crop data of each research site. Historical meteorological data are detailed climate data from 1981 to 2009, including daily maximum temperature, minimum temperature, radiation and rainfall, etc. Soil data include soil organic matter content, field water capacity, etc. Crop data include winter wheat phenology, yield, variety, fertilization and irrigation management measures, etc.
表1:研究站点信息Table 1: Study Site Information
根据作物机理模型APSIM的需要,将上述研究站点对应年份的日气象数据、土壤数据和田间管理措施数据(播种方式、灌溉、施肥、收获等),输入作物机理模型APSIM中,采用试错法确定作物机理模型中作物品种的参数值(冬小麦品种的主要参数包括tt_end_of_juvenile,Startgf_to_mat,Vern_sens,Photop_sens、Potential_grain_filling_rate,Grains_per_gram_stem,Max_grain_size),并根据各研究站点观测的冬小麦物候和产量数据,对确定的模型参数进行校正和验证。According to the needs of the crop mechanism model APSIM, the daily meteorological data, soil data and field management measure data (sowing methods, irrigation, fertilization, harvesting, etc.) of the corresponding years of the above research sites are input into the crop mechanism model APSIM, and the trial and error method is used to determine The parameter values of crop varieties in the crop mechanism model (the main parameters of winter wheat varieties include tt_end_of_juvenile, Startgf_to_mat, Vern_sens, Photop_sens, Potential_grain_filling_rate, Grains_per_gram_stem, Max_grain_size), and according to the winter wheat phenology and yield data observed at each research site, the determined model parameters were calculated. Calibration and verification.
根据华北地区各研究站点对模拟产量和实测产量的对比分析,得到相关系数R2为0.70,如图2(a)所示,说明确定的模型参数值在华北地区各研究站点有较好的适用性和代表性。According to the comparative analysis of the simulated yield and the measured yield at various research stations in North China, the correlation coefficient R 2 is 0.70, as shown in Figure 2(a), indicating that the determined model parameter values are well applicable to the research stations in North China sex and representation.
S2、利用校正好参数的作物机理模型APSIM,并严格按照观测资料输入气象数据、土壤数据和田间管理措施数据,对各研究站点在长时间序列下的冬小麦生育期、冬小麦产量和冬小麦生物量进行模拟,输出华北地区1981-2009年冬小麦生育期、冬小麦产量和冬小麦生物量的模拟值(见图3)。S2. Using the crop mechanism model APSIM with corrected parameters, and inputting meteorological data, soil data and field management measure data strictly according to the observation data, the winter wheat growth period, winter wheat yield and winter wheat biomass of each research site under long-term sequence were analyzed. Simulation, output the simulated values of winter wheat growth period, winter wheat yield and winter wheat biomass in North China from 1981 to 2009 (see Figure 3).
S3、根据冬小麦在不同生长阶段容易受到的极端气候事件设计了三个极端高温指数,包括高温日数(HD)、高温强度(HSI)和高温持续指数(HCD);三个极端低温指数,包括霜冻日数(FD)、霜冻强度(CSI)和冷持续指数(FCD);以及三个极端降雨指数,包括强降水日数(R25)、持续湿润指数(CWD)和持续干燥指数(CDD)。其中,极端高温指数的计算期间为:拔节到开花(JF)以及开花到成熟(FM)这两个阶段;极端低温指数的计算期间为:播种到拔节(SJ)以及拔节到开花(JF)这两个阶段;极端降雨指数的计算期间为:播种到拔节(SJ)、拔节到开花(JF)以及开花到成熟(FM)这三个阶段。按照三类极端气候指数与冬小麦不同生长阶段的组合,共获得21个极端气候指数。冬小麦不同生长阶段极端气候指数的定义见表2。基于作物机理模型APSIM输出冬小麦关键生育期模拟值,利用气象观测数据来计算冬小麦在不同生长阶段的极端气候指数,华北地区极端气候指数的计算结果见图4。S3. According to the extreme climate events that winter wheat is susceptible to in different growth stages, three extreme high temperature indices are designed, including the number of high temperature days (HD), high temperature intensity (HSI) and high temperature duration index (HCD); three extreme low temperature indices, including frost Day Number (FD), Frost Intensity (CSI), and Cold Persistence Index (FCD); and three extreme rainfall indices, including Heavy Rain Days (R25), Continuously Wet Index (CWD), and Continuously Dry Index (CDD). Among them, the calculation period of extreme high temperature index is: jointing to flowering (JF) and flowering to maturity (FM); the calculation period of extreme low temperature index is: sowing to jointing (SJ) and jointing to flowering (JF) Two stages; the calculation period of the extreme rainfall index is three stages: from seeding to jointing (SJ), from jointing to flowering (JF) and from flowering to maturity (FM). According to the combination of three types of extreme climate indices and different growth stages of winter wheat, a total of 21 extreme climate indices were obtained. The definitions of extreme climate indices in different growth stages of winter wheat are shown in Table 2. Based on the crop mechanism model APSIM, the simulated value of the key growth period of winter wheat is output, and the extreme climate index of winter wheat at different growth stages is calculated using meteorological observation data. The calculation results of the extreme climate index in North China are shown in Figure 4.
表2:冬小麦在不同生长阶段的极端气候指数Table 2: Extreme climate indices of winter wheat at different growth stages
S4、利用遗传算法(GA)从上述的21个极端气候指数中优选出对冬小麦产量模拟效果最好的极端气候指数组合。设置GA的种群数量(popSize)为50,交叉概率(pcrossover)为0.8,突变概率(pmutation)为0.1,以均方根误差(RMSE)最小为适应度函数,计算寻找最优的极端气候指数组合。最优组合为HD_FM、HSI_FM、HCD_FM、FD_SJ、CSI_SJ、CSI_JF、FCD_SJ、R25_SJ、CWD_FM和CDD_JF共10个指数。S4. Using Genetic Algorithm (GA) to select the extreme climate index combination with the best simulation effect on winter wheat yield from the above-mentioned 21 extreme climate indices. Set the population size (popSize) of GA to 50, the crossover probability (pcrossover) to 0.8, the mutation probability (pmutation) to 0.1, and take the minimum root mean square error (RMSE) as the fitness function to calculate and find the optimal extreme climate index combination . The optimal combination is 10 indexes including HD_FM, HSI_FM, HCD_FM, FD_SJ, CSI_SJ, CSI_JF, FCD_SJ, R25_SJ, CWD_FM and CDD_JF.
S5、将步骤S2获得的冬小麦生物量模拟值以及步骤S4选择的10个极端气候指数作为预测变量,观测产量作为目标值对随机森林模型(RF)进行训练,确定RF模型中的关键参数值。在RF模型中,有两个主要参数需要设置:1、树的棵数(ntree);2、树节点抽选的变量个数(mtry)。树的棵数(ntree)的取值设置为100–1500,步长为100;树节点抽选的变量个数(mtry)的取值设置为1–15,步长为1。S5, the winter wheat biomass simulation value obtained in step S2 and the 10 extreme climate indices selected in step S4 are used as predictor variables, and the observed yield is used as the target value to train the random forest model (RF), and determine the key parameter values in the RF model. In the RF model, there are two main parameters that need to be set: 1. The number of trees (ntree); 2. The number of variables selected from the tree nodes (mtry). The value of the number of trees (ntree) is set to 100–1500, and the step size is 100; the value of the number of variables selected by tree nodes (mtry) is set to 1–15, and the step size is 1.
通过选取由不同的ntree和mtry所组成的候选调优参数值集合来对RF模型进行调优。当ntree=400,mtry=7时,构建的基于特征选择、机器学习和作物模型的混合模型模拟冬小麦产量的均方根误差(RMSE)最小,效果最佳。The RF model is tuned by selecting a set of candidate tuning parameter values composed of different ntrees and mtry. When ntree=400 and mtry=7, the constructed hybrid model based on feature selection, machine learning and crop model has the smallest root mean square error (RMSE) and the best effect in simulating winter wheat yield.
利用该混合模型模拟华北地区在极端气候条件下的冬小麦产量,并根据各研究站点观测的作物产量数据评价混合模型的产量模拟水平。具体是利用均方根误差(RMSE)和相关系数(R2)来评价混合模型对冬小麦产量的模拟水平。The hybrid model was used to simulate winter wheat yield under extreme climate conditions in North China, and the yield simulation level of the hybrid model was evaluated based on the crop yield data observed at each research site. Specifically, root mean square error (RMSE) and correlation coefficient (R 2 ) were used to evaluate the simulation level of the mixed model for winter wheat yield.
1、均方根误差(RMSE)的计算公式为:1. The calculation formula of root mean square error (RMSE) is:
其中,Xobs,i是冬小麦观测产量,Xmodel,i是冬小麦模拟产量,i是研究站点数(1,2,......,N);Among them, X obs,i is the observed yield of winter wheat, X model,i is the simulated yield of winter wheat, and i is the number of research stations (1,2,...,N);
2、相关系数(R2)的计算公式为:2. The formula for calculating the correlation coefficient (R 2 ) is:
其中,是观测产量的平均值。in, is the average of the observed yields.
如图2(b)所示,通过评价指标计算,混合模型对冬小麦产量的模拟效果远远高于APSIM作物模型,其中,相关系数R2由APSIM作物模型的0.70提高到混合模型的0.93,均方根误差RMSE由作物机理模型APSIM的934.6千克/公顷,降低到混合模型的425.5千克/公顷。As shown in Figure 2(b), through the calculation of evaluation indicators, the simulation effect of the mixed model on winter wheat yield is much higher than that of the APSIM crop model. The root square error RMSE was reduced from 934.6 kg/ha in the crop mechanism model APSIM to 425.5 kg/ha in the mixed model.
如图5所示,通过混合模型输出结果评估了关键极端气候指数对冬小麦产量模拟的相对贡献,总体来看,极端温度指数对冬小麦产量模拟的相对贡献大于极端降雨指数,其中相对贡献最大的5个极端气候指数依次是CSI_SJ、FD_SJ、HSI_FM、FCD_SJ和HD_FM。As shown in Figure 5, the relative contribution of the key extreme climate indices to the simulation of winter wheat yield was evaluated through the output of the mixed model. The extreme climate indices are CSI_SJ, FD_SJ, HSI_FM, FCD_SJ and HD_FM in sequence.
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