MARS-based estimation of reference crop evapotranspiration in Poyang Lake region
WU Lifeng1,2, JU Yan1, YANG Xiuxia2*, BAI Hua1, DAI Panwei1
1. College of Hydrodynamic and Ecological Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China; 2. Key Laboratory of Poyang Lake Basin Agricultural Resources and Ecology of Jiangxi Province, Jiangxi Agricultural University, Nanchang, Jiangxi 330045, China
Abstract: In order to find the most suiTab. method for calculating reference crop evapotranspiration (ET0), the ET0 estimated by using FAO Penman-Monteith model was used as the standard values, ET0 models of multiple adaptive regression spline (MARS) were established by considering 12 different meteorological factors, and the results were compared with those predicted with generalized regression neural network (GRNN), support vector machine (SVM) and a few empirical correlations proposed by Hargreaves, Irmak-Allen, Makkink, and Pristley-Taylor, respectively. The observed data, including daily maximum and minimum ambient temperatures, solar duration hours, wind speed and relative humidity in 1966—1990 in Nanchang Meteorological Station were used to establish the models and those during 1991—2015 were adapted to validate the models. Results show that the accuracy of three kinds of artificial intelligence algorithms is better than that of the empirical correlations, particularly, MARS has the best accuracy, namely, RMSE, R2 and NRMSE are 0.227 mm/d, 0.982 and 0086, respectively. The accuracy of SVM is ranked in the second place with RMSE, R2, and NRMSE of 0266 mm/d, 0.978 and 0.101. GRNN is in the third place with RMSE, R2 and NRMSE of 0.323 mm/d, 0.962 and 0.123. The MARS method, which is not only with an even better accuracy but also has an explicit mathematical expression, is the optimum method for calculating ET0 in region Poyang Lake.
吴立峰,,鞠艳,杨秀霞*,白桦,戴盼伟. 基于MARS模拟鄱阳湖地区参考作物蒸散量[J]. 排灌机械工程学报, 2019, 37(9): 799-805.
WU Lifeng,, JU Yan, YANG Xiuxia*, BAI Hua, DAI Panwei. MARS-based estimation of reference crop evapotranspiration in Poyang Lake region. Journal of Drainage and Irrigation Machinery Engin, 2019, 37(9): 799-805.
[1]刘晓英,李玉中,王庆锁.几种基于温度的参考作物蒸散量计算方法的评价[J].农业工程学报,2006,22(6):12-18. LIU Xiaoying, LI Yuzhong, WANG Qingsuo. Evaluation on several temperature-based methods for estimating reference crop evapotranspiration[J]. Transactions of the CSAE, 2006, 22(6): 12-18.(in Chinese)[2]ALLEN R G,PEREIRA L S,RAES D,et al. Crop evapotranspiration—guidelines for computing crop water requirements[R].Rome: FAO Irrigation and Drainage Paper 56, 1998, 300: 6541.[3]WANG W, PENG S, YANG T, et al. Spatial and temporal characteristics of reference evapotranspiration trends in the Haihe River Basin, China[J]. Journal of hydrologic engineering, 2011, 16(3):239-252.[4]YASSIN M A, ALAZBA A A, MATTAR M A. Artificial neural networks versus gene expression programming for estimating reference evapotranspiration in arid climate[J]. Agricultural water management, 2016, 163(1):110-124.[5]HARGREAVES G H, ALLEN R G. Closure of “history and evaluation of hargreaves evapotranspiration equation”[J]. Journal of irrigation & drainage engineering, 2004, 130:448-449.[6]MAKKINK G F. Testing the Penman formula by means of lysimeters[J]. Journal of the institution of water engineers, 1957(11):277-288.[7]IRMAK S, IRMAK A, ALLEN R G, et al. Solar and net radiation-based equations to estimate reference evapotranspiration in humid climates[J]. Journal of irrigation & drainage engineering, 2003, 129:336-347.[8]杜加强, 熊珊珊, 刘成程,等. 黄河上游地区几种参考作物蒸散量计算法的适用性比较[J]. 干旱区地理, 2013, 36(5):831-840. DU Jiaqiang, XIONG Shanshan, LIU Chengcheng, et al. Comparison of models for estimating reference crop evapotranspiration in the headwater catchment of the Yellow River Basin, China[J]. Arid land geography, 2013, 36(5):831 - 840.(in Chinese)[9]李晨,崔宁博,冯禹,等.四川省不同区域参考作物蒸散量计算方法的适用性评价[J].农业工程学报,2016,32(4):127-134. LI Chen, CUI Ningbo, FENG Yu, et al. Adaptation evaluation for reference evapotranspiration methods in different regions of Sichuan[J]. Transactions of the CSAE,2016,32(4):127-134.(in Chinese)[10]张倩, 段爱旺, 高阳,等. 基于温度资料估算参考作物腾发量的法比较[J]. 农业机械学报, 2015, 46(2):104-109. ZHANG Qian, DUAN Aiwang, GAO Yang, et al. Comparative analysis of reference evapotranspiration estimation methods using temperature data[J]. Transactions of the CSAM, 2015, 46(2):104-109.(in Chinese)[11]吴立峰,白桦,张富仓,等. FAO Penman-Monteith及简化方法在西北适用性研究[J]. 农业机械学报,2016,47(12): 139-151. WU Lifeng, BAI Hua, ZHANG Fucang, et al. Applicability of FAO Penman-Monteith and alternative methods for estimating reference evapotranspiration in northwest China[J]. Transactions of the CSAM, 2016, 47(12): 139-151.(in Chinese)[12]冯禹, 崔宁博, 龚道枝,等. 利用温度资料和广义回归神经网络模拟参考作物蒸散量[J]. 农业工程学报, 2016, 32(10):81-89. FENG Yu,CUI Ningbo, GONG Daozhi,et al. Modeling reference evapotranspiration by generalized regression neural network combined with temperature data[J]. Transactions of the CSAE, 2016, 32(10):81-89.( in Chinese)[13]KISI O. Least squares support vector machine for modeling daily reference evapotranspiration[J]. Irrigation science, 2013, 31(4):611-619.[14]FAN J, YUE W, WU L, et al. Evaluation of SVM, ELM and four tree-based ensemble models for predicting daily reference evapotranspiration using limited meteorological data in different climates of China[J]. Agricultural and forest meteorology, 2018, 263: 225-241.[15]KISI O. Modeling reference evapotranspiration using three different heuristic regression approaches[J]. Agricultural water management, 2016, 169:162-172.[16]PARSAIE A, HAGHIABI A H, SANEIE M, et al. Prediction of energy dissipation on the stepped spillway using the multivariate adaptive regression splines[J]. ISH journal of hydraulic engineering, 2016:1-12.[17]刘日,李建国,王小农.立体车库车位分配建模与仿真[J].江苏大学学报(自然科学版),2018,39(1):19-25. LIU Ri, LI Jianguo, WANG Xiaonong. Modeling and simulation of parking space allocation in stereo garage[J]. Journal of Jiangsu University(natural science edition), 2018, 39(1): 19-25.(in Chinese)[18]吴立峰,鲁向晖,刘小强,等. 蝙蝠算法优化极限学习机模拟参考作物蒸散量[J]. 排灌机械工程学报, 2018, 36(9): 802-805. WU Lifeng,LU Xianghui, LIU Xiaoqiang,et al. Simulation of reference crop evapotranspiration by using bat algorithm optimization based extreme learning machine[J]. Journal of drainage and irrigation machinery engineering, 2018, 36(9): 802-805.(in Chinese)[19]ANTONOPOULOS V Z, ANTONOPOULOS A V. Daily reference evapotranspiration estimates by artificial neural networks technique and empirical equations using limited input climate variables[J]. Journal computers and electronics in agriculture, 2017,132(C): 86-96.[20]GARCIA M, RAES D, ALLEN R, et al. Dynamics of reference evapotranspiration in the Bolivian highlands(Altiplano)[J]. Agricultural & forest meteorology, 2004, 125:67-82.[21]JAVIER E, PEDRO G, JOAQUÍN B. Sensitivity analysis of a Penman-Monteith type equation to estimate reference evapotranspiration in southern Spain[J]. Hydrological processes, 2010, 23(23):3342-3353.