一种基于面积紧凑度的二维空间形状指数及其应用

空间形状指数是重要的空间形态分析指标，目前应用较为广泛的基于边界紧凑度的一维空间形状指数在参照形状选择及一维测度应用等方面都存在局限性。针对一维空间形状指数的缺陷，定义一种基于面积紧凑度的二维空间形状指数，并以矩形为参照形状，讨论其计算方法。结合浙江省桐庐县标准农田立地条件评价的实例，比较分析两种维度空间形状指数的应用效果。结果表明，二维空间形状指数能够更精确地描述地物图斑相对于非紧凑参照形状的偏离程度，且在标准农田规划、建设等应用中更具实用价值。

A 2-Dimensional Shape Index Based on Area Compactness and Its Applications

Currently,although the spatial shape indices based on one-dimensional boundary compactness have been widely employed in spatial shape analysis,they have several defects in practices that should be addressed.Therefore,a type of 2-dimensional shape index,which is based on the area compactness,has been proposed,and method for its calculation has been discussed.At last,through the comparison of the efficacy of two types of shape indices in the application of high quality prime farmland construction in Tonglu County,Zhejiang Province,China,conclusions have been drawn out that the 2-dimensional shape index proposed could characterize the deviation of patches' shape from their non-compact reference shapes more accurately than the unidimensional one and let alone its more concrete meanings in practices,such as the example adduced here.