地理研究

地理研究 ›› 2014, Vol. 33 ›› Issue (7): 1297-1305.doi: 10.11821/dlyj201407010

• 论文 • 上一篇    下一篇

基于改进HASM方法的中国日照百分率的模拟

赵娜1,2, 岳天祥1, 赵明伟1,2   

  1. 1. 中国科学院地理科学与资源研究所, 资源与环境信息系统国家重点实验室, 北京 100101;
    2. 中国科学院大学, 北京 100049
  • 收稿日期:2013-11-12 修回日期:2014-04-22 出版日期:2014-07-10 发布日期:2014-07-10
  • 通讯作者: 岳天祥（1963-），男，研究员，博士生导师，主要从事资源环境地学模型与系统模拟研究。E-mail：yue@lreis.ac.cn
  • 作者简介:赵娜（1986-），博士生，主要研究方向为资源环境模型与系统模拟。E-mail：zhaon@lreis.ac.cn
  • 基金资助:
    国家自然科学基金重点项目（91325204）；国家高技术研究发展计划项目（2013AA122003）

Surface modeling of sunshine percentage in China based on a modified version of HASM

ZHAO Na1,2, YUE Tianxiang1, ZHAO Mingwei1,2   

  1. 1. Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing 100101, China;
    2. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2013-11-12 Revised:2014-04-22 Online:2014-07-10 Published:2014-07-10

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5 | 3

摘要： 日照百分率作为研究日照时数及太阳辐射等的重要因素之一，其模拟结果的好坏，直接关系到相关领域的研究应用。而高精度曲面建模方法（HASM）是近几年发展起来的用于生态建模的高精度曲面模拟方法。首先对现有的HASM进行改进，给出建立在完整理论基础之上、精度更高的曲面建模方法，并记为HASM.MOD；以高斯合成曲面为数值试验对象，验证HASM与HASM.MOD的模拟精度；最后，根据全国1951-2010 年752 个气象站点的月平均日照百分率数据，运用HASM.MOD研究近60 年月平均日照百分率的分布状况，同时比较了HASM.MOD、HASM、Kriging 和IDW法的插值精度。数值试验和实例验证结果表明，HASM.MOD的模拟精度最高。用该方法所提供的日照百分率数据可作为基础地理数据供相关研究应用。

关键词: HASM, 日照百分率, 插值, 精度, 中国

Abstract: Sunshine percentage is one of the important factors that influences the computation of sunshine hour and solar radiation. The computational results of sunshine percentage will undoubtedly affect the relevant researches. In order to solve the error problem that had long troubled the interpolation method, Yue developed a novel surface modeling method, High Accuracy Surface Modeling (HASM), based on the fundamental theorem of surfaces which makes sure that a surface is uniquely defined by the first and the second fundamental coefficients of it. Numerical tests have shown that HASM is much more accurate than the classical methods such as kriging, Inverse Distance Weighted (IDW) method, and spline. Surface modeling of Digital Elevation Model (DEM), ecosystem change and soil properties also indicate that HASM has increased interpolation accuracy. Despite its popularity, however, a common phenomenon is found that the result of HASM is not optimal since the theoretical basis of it is not complete. To improve HASM's simulation skills in interpolating sunshine percentage in China, this research gives a modification of HASM, namely HASM.MOD, which introduces the mixed partial derivative term, considers the local details of the surface and is theoretically perfect. The introduction of the mixed partial derivative term in HASM.MOD reflects the local warping of the surface, namely its deviation from tangent plane at the point under consideration. We then use Gauss synthetic surface to validate the performance of HASM.MOD and HASM. HASM.MOD is then used to simulate the monthly mean sunshine percentage by using observed data from 752 stations for the considered period (1950-2010). We also compare the performance of HASM.MOD with those of HASM and other interpolators: kriging and inverse distance method (IDW). Numerical tests and real world studies show that the simulation accuracy of HASM. MOD is higher than that of other methods in this study. As the basic geographical data, the sunshine percentage produced by HASM.MOD can provide support for other applications.

Key words: HASM, sunshine percentage, interpolation, accuracy, China