Spatial Interpolations of Annual Rainfall in Ethiopia Using Simple and Universal Kriging Techniques

Kasye Shitu, Adibar Hymiro, Tigist Degu, Mastewal Mekuriaw
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Abstract

The study of spatial distribution of precipitation is an important aspect of water-related research like, hydrological modeling, disaster prediction and watershed management. But, spatial interpolations of annual average rainfall in Ethiopia using Simple and Universal Kriging type through different models has not yet investigated. This study was focused on to select the best fit semivarogram model for annual rainfall interpolation and to map the spatial distribution of rainfall of Ethiopia. In this study, long term mean annual rainfall which was collected from 931 meteorological stations were interpolated using different mathematical variogram models of Kriging to select the best fit variogram model useful to predict continuous surface values of annual average rainfall in Ethiopia. Spherical model was found to be the best fitted variogram model and most accurate model for interpolation using both Simple and Universal Kriging with the value of ME (0.005), RMSE (1.21) and MSDR (121.32) and ME (0.001), RMSE (0.88) and MSDR (144.11), respectively. Since the kriging results of spherical model indicate good model efficacy for this study, it may be useful to map spatial pattern of annual rainfall in Basin level in Ethiopia.
使用简单和通用克里格技术的埃塞俄比亚年降雨量空间插值
降水空间分布研究是水文建模、灾害预测、流域管理等水科学研究的一个重要方面。但是,对埃塞俄比亚年平均降雨量采用简单克里格类型和通用克里格类型通过不同模型进行空间插值的研究尚未开展。本研究的重点是选择最佳拟合的半变线图模型进行年降雨量插值,并绘制埃塞俄比亚降雨量的空间分布图。本文利用埃塞俄比亚931个气象站的长期平均年降雨量数据,采用不同的Kriging数学变异函数模型进行插值,选择最适合预测埃塞俄比亚年平均降雨量连续地表值的变异函数模型。球形模型是最适合简单克里格插值和通用克里格插值的变异函数模型,其ME值为0.005,RMSE值为1.21,MSDR值为121.32,ME值为0.001,RMSE值为0.88,MSDR值为144.11。球形模型的kriging结果表明,该模型具有良好的模型有效性,可用于绘制埃塞俄比亚流域年降雨量的空间格局。
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