空间自相关与分形方法

空间自相关与分形方法

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Initial contribute: 2018-12-04

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岳天祥编著
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yue@lreis.ac.cn
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Method-focused categoriesData-perspectiveGeoinformation analysis
Method-focused categoriesData-perspectiveGeostatistical analysis

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空间自相关与分形方法

(1)Moran的空间自相关指标:

            

中,Xi为变量在单元i处的值;X(_)为变量X的平均值;双求和号表示对全区域的单元求和;Wij为空间权重函数,表达单元对间的位置关系。

(2)地统计学变异函数:


式中,γ(h)表示变异函数;Z(xi)表示在位置xi处元素含量;Z(xi+h)表示与xi距离为h处的元素含量;n为所有距离为h的点对数。

(3)分形结构变异函数:

               

式中,λ为常数;H=3-D为Hurst指数,D为分维数。

张朝生,张申,何建邦:长江水系沉积物重金属含量空间分布特征研究。地理学报,1998,53(1)

 

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《资源环境数学模型手册》 (2018). 空间自相关与分形方法, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/5c0ef524-7dde-4522-be84-ca6572ff8143
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Initial contribute : 2018-12-04

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岳天祥编著
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