Ripley’s K函数方法修正与估计方法比较

葛莹; 刘尉; 李勇

doi:10.13203/j.whugis20210451

Ripley’s K函数方法修正与估计方法比较

doi: 10.13203/j.whugis20210451

葛莹¹,
刘尉²,
李勇¹

1. 河海大学地球科学与工程学院, 江苏南京, 210098;
2. 河海大学理学院, 江苏南京, 210098

基金项目:

国家自然科学基金项目(41071347)

云南省重大科技专项计划项目(202002AE090010)。

详细信息

作者简介:
葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

中图分类号: P2-0

Algorithm Modification and Estimation Comparison of Ripley’s K-function

1. School of Earth Sciences and Engineering, Hohai University, Nanjing 210098;
2. College of Science, Hohai University, Nanjing 210098

Funds:

The National Natural Science Foundation of China (41071347)

the Major Project of Science and Technology of Yunnan Province (202002AE090010).

摘要: 深入研究空间点格局分析方法，探讨Ripley’s K函数应用问题，梳理其边界效应改正的定义，综合考虑随机模拟动态性、参数定义合意性、边界改正算法可靠性，以判定各类边界改正算法的相对优劣。研究发现，蒙特卡洛模拟对空间点格局分析产生一定影响；受困于动态性难题，基于商业软件的空间点格局分析结论随着算法运行而改变，具有一定的不确定性；基于GIS技术的边界改正算法更具优势，它把矩形研究区一般性要求，推广至任意多边形，使Ripley’s K函数估计更稳健。
- 空间点格局分析 /
- Ripley’s K函数 /
- 蒙特卡洛模拟 /
- 边界效应改正 /
- GIS技术 /
- 柑橘植株营养 /
- 云南省新平县
Abstract: The Ripley’s K-function has widely been applied for many fields such as ecology, criminology, and geography. Because of the mathematical confusion of spatial point processes, the corresponding papers contain many errors in measuring the distributions of spatial objects. This paper contributes to an improved understanding for the application for Ripley’s K-function. The focus is first on the estimation methods of spatial point pattern analysis based on Ripley’s K-function. The formula of Ripley’s K-function is corrected, then various definitions of edge effect correction methods applied for the K-function analysis are detailed compared. The relative merits of various algorithm methods are identified by considering the dynamicity of random point pattern, the definition desirability of parameters, and estimation reliability of edge correction methods. The modified algorithms have been employed for the point pattern analysis of the fruit plants in Xinping County, Yunnan Province. The results show: the number of Monte Carlo simulations has a great influence over the analysis of the observed point patterns. Trapped in the dynamicity problems, significance tests of observed patterns are changed that is responsible for changes in Ripley’s K-function measures with uncertainty as ArcGIS software package running. There are advantages of modified algorithms of edge effect correction, the rectangle of study areas is generally extended to complex shape that is robust enough.
- spatial point pattern analysis /
- Ripley’s K-function /
- Monte Carlo simulations /
- edge effect correction /
- GIS functionality /
- citrus plant nutrition /
- Xinping County of Yunnan Province

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Ripley’s K函数方法修正与估计方法比较

doi: 10.13203/j.whugis20210451

作者简介:
葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

Algorithm Modification and Estimation Comparison of Ripley’s K-function

计量

Ripley’s K函数方法修正与估计方法比较

doi: 10.13203/j.whugis20210451

1. 河海大学地球科学与工程学院, 江苏南京, 210098;

2. 河海大学理学院, 江苏南京, 210098

作者简介:
葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

English Abstract

Algorithm Modification and Estimation Comparison of Ripley’s K-function

1. School of Earth Sciences and Engineering, Hohai University, Nanjing 210098;

2. College of Science, Hohai University, Nanjing 210098

全文HTML

目录

留言板

Ripley’s K函数方法修正与估计方法比较

doi: 10.13203/j.whugis20210451

作者简介: 葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

Algorithm Modification and Estimation Comparison of Ripley’s K-function

计量

出版历程

Ripley’s K函数方法修正与估计方法比较

doi: 10.13203/j.whugis20210451

1. 河海大学地球科学与工程学院, 江苏 南京, 210098; 2. 河海大学理学院, 江苏 南京, 210098

作者简介: 葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

English Abstract

Algorithm Modification and Estimation Comparison of Ripley’s K-function

1. School of Earth Sciences and Engineering, Hohai University, Nanjing 210098; 2. College of Science, Hohai University, Nanjing 210098

全文HTML

目录

作者简介:
葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

1. 河海大学地球科学与工程学院, 江苏南京, 210098;

2. 河海大学理学院, 江苏南京, 210098

作者简介:
葛莹,博士,教授,主要从事空间数据分析研究。Email:geying@hhu.edu.cn

1. School of Earth Sciences and Engineering, Hohai University, Nanjing 210098;

2. College of Science, Hohai University, Nanjing 210098