LI Yan,ZHU Jun,HU Ya,et al.Comparison Analysis on Different Spatial Interpolation Methods to Simulate Monthly Precipitation in Sichuan Province[J].Research of Soil and Water Conservation,2017,24(01):151-154,160.
不同插值方法模拟四川省逐月降水量的对比分析
- Title:
- Comparison Analysis on Different Spatial Interpolation Methods to Simulate Monthly Precipitation in Sichuan Province
- 分类号:
- P208;P332
- 摘要:
- 我国西部地区气象观测点较少，致使一些地区的降水信息无法直接获取，采用空间插值方法来推测相邻地区的降水量是重要手段之一。针对四川地区观测点少的现状，结合空间分辨率为90 m×90 m的数字高程数据（DEM），分别采用常规反距离加权插值（IDW）、考虑各点高程的反距离加权插值（IDW）、局部多项式（LPI）、普通克里金（OK）、协同克里金（CK）对每个月降水量和1年平均每月降水量进行插值，并采用交叉检验法来验证插值结果，将平均误差（MAE）和均方根误差（RMS）作为评估插值效果的标准。结果表明：考虑高程的IDW插值误差小于常规IDW，可明显提高插值精度，克里金方法平均误差和均方根误差较小，优于反距离加权和局部多项式插值，在两种克里金方法中，与数字高程模型结合的CK方法的插值效果更好，更加适合四川省山区地形降水量数据的插值。
- Abstract:
- The precipitation information can’t be obtained directly in some areas because the meteorological observation points are few in the western region of China. Using the spatial data interpolation methods to estimate the precipitation in the adjacent areas is one of the important means. For the less observation points in Sichuan Province, we combine with the digital elevation model (DEM) of the spatial resolution of 90 m×90 m, and use the ordinary of inverse distance weighted interpolation (IDW), the inverse distance weighted interpolation of considering each point elevation (IDW), local polynomial interpolation (LPI), the ordinary Kriging interpolation method (OK) and the collaborative Kriging interpolation method (CK) to interpolate the every monthly and annual average precipitation in Sichuan Province. The cross checking method was used to verify the results of interpolation, and the average error (MAE) and the root mean square error (RMS) were used as the criteria for evaluating the five interpolation methods. The results show that the IDW interpolation of considering the points elevation is more precise than the ordinary IDW, can significantly improve the accuracy of interpolation, Kriging average error and root mean square error is smaller than IDW and local polynomial interpolation, the collaborative Kriging has better interpolation results because of considering the influence of digital elevation model on rainfall. Therefore, collaborative Kriging is more suitable for spatial interpolation of rainfall data in mountain area.
参考文献/References:
[1] 王常森,陶月赞,方必和.淮北平原年降水量空间插值模型的比选[J].水文,2012,32(2):49-53.
[2] 虎雄岗,谈树成,金艳珠,等.基于地形高程的云南省降雨量空间插值方法研究[J].热带地理,2012,32(4):370-377.
[3] 刘光孟,汪云甲,王允.反距离权重插值因子对插值误差影响分析[J].中国科技论文在线,2010,5(11):879-884.
[4] 刘刚,赵荣,刘纪平,等.澜沧江流域降水量空间分布的克里格插值分析[J].测绘科学,2007,32(3):104-105.
[5] 王智,吴友均,梁凤超,等.新疆地区年降水量的空间插值方法研究[J].中国农业气象,2011,32(3):331-337.
[6] 姜晓剑,刘小军,黄芬,等.逐日气象要素空间插值方法的比较[J].应用生态学报,2010,21(3):624-630.
[7] 房林东,廖卫红,王明元,等.考虑高程的雨量反距离权重插值法研究[J].人民黄河,2015,37(9):38-41.
[8] 庄立伟,王石立.东北地区逐日气象要素的空间插值方法应用研究[J].应用气象学报,2003,14(5):605-615.
[9] 孔令娜,向南平.基于ArcGIS的降水量空间插值方法研究[J].测绘与空间地理信息,2012,35(3):123-126.
[10] 宋丽琼,田原,邬伦,等.日降水量的空间插值方法与应用对比分析:以深圳市为例[J].地球信息科学,2008,10(5):566-572.
[11] 汤国安,杨昕.ArcGIS地理信息系统空间分析试验教程[M].北京:科学出版社,2006.
[12] 邵晓梅,严昌荣,魏红兵.基于Kriging插值的黄河流域降水时空分布格局[J].中国农业气象,2006,27(2):65-69.
[13] 曾怀恩,黄声享.基于Kriging方法的空间数据插值研究[J].测绘工程,2007,16(5):5-8.
[14] 邓羽,刘盛和,姚峰峰,等.基于协同克里格的基准地价评估及空间结构分析[J].地理科学进展,2010,28(3):403-408.
[15] 徐天献,王玉宽,傅斌.四川省降水空间分布的插值分析[J].人民长江,2010,41(10):9-12.
[16] 焦永清,李斌,张坤.基于空间可视化的气温插值方法比较[J].测绘工程,2013,22(5):62-64.
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备注/Memo
收稿日期:2015-12-22;改回日期:2016-03-02。
基金项目:国家自然科学基金“基于基元组合和语义约束的虚拟高速铁路环境智能建模方法研究”（41271389）；国家自然科学基金“面向高速列车耦合仿真的三维虚拟高速铁路精细化实体环境建模研究”（41401433）
作者简介:李艳(1992-),女,四川泸县人,硕士研究生,研究方向为虚拟地理环境。E-mail:1104196127@qq.com