基于香农熵的地表水体空间分布指数及其适用性分析

doi:10.3969/j.issn.1001-5485.2014.09.004

长江科学院院报 ›› 2014, Vol. 31 ›› Issue (9): 17-20.DOI: 10.3969/j.issn.1001-5485.2014.09.004

基于香农熵的地表水体空间分布指数及其适用性分析

康孝岩^{a，b，c，d}，王艳慧^{a，b，c，d}，段福洲^{a，b，c，d}

首都师范大学 a.城市环境过程与数字模拟国家重点实验室培育基地;b.三维信息获取与应用教育部重点实验室;c.资源环境与地理信息系统北京市重点实验室;d.资源环境与旅游学院，北京 100048

收稿日期:2013-11-15 修回日期:2014-09-04 出版日期:2014-09-01 发布日期:2014-09-04
通讯作者: 王艳慧(1977-)，女，河南上蔡人，副教授，主要从事GIS方法与应用，多尺度空间数据库研究，(电话)010-68902971(电子信箱)huiwangyan@sohu.com。
作者简介:康孝岩(1989-)，男，河南开封人，硕士研究生，主要从事GIS及资源遥感应用研究，(电话)18511550860(电子信箱)cnukxy@foxmail.com。
基金资助:
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)

Analysis of Spatial Distribution Indices of Surface Water andTheir Applicability Based on Shannon Entropy

KANG Xiao yan^1,2,3,4, WANG Yan hui^1,2,3,4, DUAN Fu zhou^1,2,3,4

1.State Key Laboratory Incubation Base of Urban Environmental Processes and Digital Simulation, CapitalNormal University, Beijing 100048, China;
2.Key Laboratory of 3 D Information Acquisition and Application ofMinistry of Education, Capital Normal University, Beijing 100048, China;
3.Beijing key Laboratory ofResource Environment and Geographic Information System, Capital Normal University, Beijing 100048, China;
4.College of Resources Environment & Tourism, Capital Normal University, Beijing 100048, China

Received:2013-11-15 Revised:2014-09-04 Online:2014-09-01 Published:2014-09-04

摘要/Abstract

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(>0.9，<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。

关键词: 地表水分布指数, 香农熵, 水网密度, 面积比例, 适用性

Abstract: 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 (>0.9,<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 100m to 5000m. The fabulous grain domain of MSHDAI is (100m, 200m); while MSHDLI is suitable for various mesh grains ranging from 100m to 5000m. Multiple waters can be described by MSHDLI. MSHDAI is powerless for the region with large reservoirs (lakes), whereas MSHDLI is applicable for various waters.

Key words: distribution index of surface water, Shannon entropy, river network density, percentage of landscape, applicability

中图分类号:

TV211.1
P237

康孝岩，王艳慧，段福洲. 基于香农熵的地表水体空间分布指数及其适用性分析[J]. 长江科学院院报, 2014, 31(9): 17-20.

KANG Xiao yan, WANG Yan hui, DUAN Fu zhou. Analysis of Spatial Distribution Indices of Surface Water andTheir Applicability Based on Shannon Entropy[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2014, 31(9): 17-20.

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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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