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The application of spatial Lorenz curve (SLC) and Gini coefficient in measuring land use structure change

机译:空间洛伦兹曲线和基尼系数在土地利用结构变化测量中的应用

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This study presented an economic model for estimating the land use structure changes based on Landsat Thematic Mapper (TM) imagery. The Lorenz Curve and Gini coefficient, derived from Economics, were introduced as tools for investigating and quantifying the land use structure changes from 1987 to 2007 in Xiamen, China. The results showed that the spatial Lorenz curve had the phenomenon of “three near and three far” and Gini coefficient had “three increased and three decreased”, which demonstrated significantly differed profile between various land uses on temporal-spatial change in this region. The spatial Lorenz curves of cultivated land, forest and bare land were near the perfect equality line in 1987 and moved away a little bit after twenty years. However, for built-up land, water, and wetland, they reflected opposite characteristics and approached the perfect equality line with a substantial degree, which meant the distribution of built-up land, water and wetland tended to be more uniform, while the cultivated land, forest and bare land tended to be slightly uneven distributed during the past two decades. While the spatial Lorenz curve presented a graphical view of the cumulative exposure of land use area, the Gini coefficient distilled this data even further, provided a single-parameter measure of clustering. A maximum increase of 0.031 and a maximum decrease of 0.135 in Gini coefficients showed that the major process of land use distribution had becoming more symmetric. However, the Gini coefficient cannot fully describe the features of the spatial Lorenz curve to discover the differences in spatial distribution of land use structure. So, it’ll be beneficial to pay more attention to the research of quantitative indicators between the geometry features of the Lorenz curve and the land use structure in future studies.
机译:这项研究提出了一种基于Landsat Thematic Mapper(TM)影像估算土地利用结构变化的经济模型。引入了源自经济学的洛伦兹曲线和基尼系数,作为调查和量化1987年至2007年中国厦门市土地利用结构变化的工具。结果表明,空间洛伦兹曲线具有“三近三远”的现象,基尼系数具有“三增三减”的现象,表明该区域土地利用在时空变化上的轮廓存在明显差异。耕地,森林和裸地的Lorenz空间曲线在1987年接近完美的均等线,并在20年后略有移开。但是,对于已建成的土地,水和湿地,它们反映了相反的特征,并在很大程度上接近了完美的平等线,这意味着已建成的土地,水和湿地的分布趋于更均匀,而耕地在过去的二十年中,土地,森林和光秃秃的土地往往分布不均。虽然空间洛伦兹曲线以图形方式显示了土地使用面积的累积暴露,但基尼系数甚至进一步提炼了该数据,提供了聚类的单参数度量。基尼系数最大增加0.031,最大减少最大0.135表明土地利用分布的主要过程变得更加对称。然而,基尼系数不能完全描述空间洛伦兹曲线的特征以发现土地利用结构空间分布的差异。因此,在未来的研究中,更多地关注洛伦兹曲线的几何特征与土地利用结构之间的定量指标研究将是有益的。

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