| 郤建军,李新通.Moran’s I指数与DEM 网格大小关系的研究[J].海南师范大学学报自科版,2016,29(4):418-424 |
| Moran’s I指数与DEM 网格大小关系的研究 |
| Study of the Relationship Between the Moran’s I Index and the DEM’s Grid Size |
| 投稿时间：2016-08-28 |
| DOI：10.12051/j.issn.1674-4942.2016.04.014 |
| 中文关键词: DEM Moran’s I 指数 网格 空间自相关 |
| 英文关键词: DEM Moran’s I index grid spatial auto-correlation |
| 基金项目: |
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| 中文摘要: |
| 数字高程模型（Digital Elevation Model，简称DEM）作为真实地形的一种数字化模拟，网
格间存在着某种空间自相关性. Moran’s I 是一种常见的空间自相关程度量化指标. 为了研究Moran’
s I 与DEM 网格大小之间的关系，文章在分辨率为30 m×30 m 的DEM 上随机选取了35 个采样点. 又
以每个采样点为中心，选取n×n（n = 3，5，7，…，25）大小的DEM 网格，计算并记录对应于每个网格
的Moran’s I 指数值，绘出各采样点的Moran’s I 指数值随n 变化的曲线. 研究发现：大多数采样点的
Moran’s I 曲线呈现出一致的变化趋势；同时发现少数采样点的Moran’s I 曲线出现局部的变化异常.
对这些异常进行分析后发现，Moran’s I 值随n 变化的趋势与DEM 网格高程值的离散程度（地形）有
关. |
| 英文摘要: |
| Digital Elevation Model（DEM）is a digital model of realistic terrain, and there exists spatial auto-correlation
among DEM’s grids. The Moran’s I is a quantized index used to measure the spatial auto-correlation. To explore the relationship between the Moran’s I index and the size of DEM’s grids, we compute and record the corresponding Moran’s I values by selecting 35 samples in the DEM with a resolution of 30 m ×30 m randomly and selecting n × n（n = 3，5，7，…，25）
DEM’s grids centering on each sample point. Finally, we plot the Moran’s I curves varying along with n for all sample
points. The results show that most Moran’s I curves have the same variation trend except for a few curves which have abnormal behaviors in some n-intervals. By analyzing these abnormal phenomena, we find that the variation trend of a Moran’s I
curve along with n is related to the elevation dispersion degree of the corresponding DEM’s grids. |
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