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基于香农熵的地表水体空间分布指数及其适用性分析

Analysis of Spatial Distribution Indices of Surface Water and Their Applicability Based on Shannon Entropy
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摘要 结合MSHDAI(空间分布面积指数)和地表水呈网状分布的特征,提出了MSHDLI(空间分布长度指数)的概念和模型,并选取河南省中部沙颍河流域部分地区,分析了其地表水空间分布状况,及其空间分布指数MSHDAI和MSHDLI分别与PLAND(面积比例)和RD(水网密度)的相关性随网格粒度变化的情况。研究表明:MSHDLI与RD具有显著的相关关系(r珋>0.9,p珋<0.01),而MSHDAI与PLAND的内在联系则较为复杂;MSHDLI在描述区域地表水空间分布多样性和广度特征方面,较之MSHDAI有更高的表征性和稳定性;两者均随网格粒度的增加而增大,MSHDAI的适宜粒度域为(100m,200m),而MSHDLI适用于各种网格粒度;MSHDAI对于含有大型水库(湖泊)的区域缺乏表征性,而MSHDLI则能适应含多种水域的地区。 According to MSHDAI( Modified Shannon's Diversity Area Index) and network distribution of surface water,an index named MSHDLI( Modified Shannon's Diversity Length Index) was proposed to evaluate the spatial distribution diversity and scope of surface water in Shaying river catchment in central Henan Province. Furthermore,the surface water's MSHDAI and MSHDLI and their correlation with PLAND( Percentage of landscape) and RD( River Density) with different mesh sizes were analyzed. Results reveal that there is a significant positive relationship between MSHDLI and RD( r珋> 0. 9,p珋< 0. 01); while the intrinsic link between MSHDAI and PLAND is more complicated. In terms of describing the diversity and scope of regional surface water's spatial distribution,MSHDLI is of more characterization and stability than MSHDAI. They both increase as the mesh grain increasing from 100 m to 5000 m. The fabulous grain domain of MSHDAI is( 100 m,200m); while MSHDLI is suitable for various mesh grains ranging from 100 m to 5000 m. Multiple waters can be described by MSHDLI. MSHDAI is powerless for the region with large reservoirs( lakes),whereas MSHDLI is applicable for various waters.
出处 《长江科学院院报》 CSCD 北大核心 2014年第9期17-20,28,共5页 Journal of Changjiang River Scientific Research Institute
基金 国家自然科学基金(41371375) "十二五"国家科技支撑计划项目(2012BAH33B03 2012BAH33B05) 北京市自然科学基金(8132018)
关键词 地表水分布指数 香农熵 水网密度 面积比例 适用性 distribution index of surface water Shannon entropy river network density percentage of landscape applicability
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