摘要
[目的]研究不同空间权重矩阵对土地利用空间自相关模型的影响。[方法]以元谋县土地利用变量为基础,首先分析不同权重矩阵下土地利用类型及其驱动因子的空间自相关性,建立基于queen权重矩阵、rook权重矩阵和距离阈值权重矩阵的耕地时空格局演变的空间自回归模型,选取拟合优度、最大似然对数值、赤池信息准则、施瓦茨信息准则、影响因子数量和模型残差空间自相关性等参数作为模型评价指标,对比分析经典线性回归模型、空间滞后模型和空间误差模型的差异。[结果]2018年元谋县土地利用类型和土地利用驱动因子在不同空间权重矩阵下均呈现出较强的空间正相关关系。通过对比3种权重矩阵的经典线性回归模型、空间滞后模型和空间误差模型,发现在同一空间自相关模型中,基于距离阈值权重矩阵的空间自回归模型的拟合效果较好,基于同一个空间权重矩阵,空间误差模型的拟合效果较好。[结论]空间相关性与空间权重矩阵有关,基于距离阈值矩阵的空间误差模型的拟合度最高,解释能力最强,能更好表征云南高原山区的土地利用格局的空间演变。
[Objective]To study the impact of different spatial weight matrices on the spatial correlation model of land use.[Method]Based on the land-use variables of the administrative village of Yuanmou County,this paper first analyzed the spatial autocorrelation of land-use types and their driving factors under different weight matrices,and established an algorithm based on the queen weight matrix,rook weight matrix and distance threshold weight matrix.Spatial autoregressive model for the evolution of the spatio-temporal pattern of cultivated land.Parameters such as goodness of fit,maximum likelihood logarithm,Akaike information criterion,Schwartz information criterion,number of influence factors and spatial autocorrelation of model residuals were selected as model evaluation indicators.The differences between the classic linear regression model,the spatial lag model and the spatial error model were compared and analyzed.[Result]In 2018,land use types and land use drivers in Yuanmou County showed a strong positive spatial correlation under different spatial weight matrices.By comparing the classic linear regression model,spatial lag model and spatial error model of the three weight matrices,it was found that in the same spatial autocorrelation model,the fitting effect of the spatial autoregressive model based on the distance threshold weight matrix was better;based on the same space,the weight matrix and the spatial error model fit better.[Conclusion]The spatial correlation was related to the spatial weight matrix.The spatial error model based on the distance threshold matrix had the best fitting degree and the strongest interpretation ability,which could better represent the spatial evolution of the land use pattern in the mountainous plateau of Yunnan.
作者
胡锐
刘志伟
张雄浩
徐志鸿
赵俊三
HU Rui;LIU Zhi-wei;ZHANG Xiong-hao(Southwest Survey and Planning Institute of National Forestry and Grassland Administration,Kunming,Yunnan 650031;Faculty of Land Resource Engineering,Kunming University of Science and Technology,Kunming,Yunnan 650093;Surveying and Mapping Engineering Institute of Yunnan Province,Kunming,Yunnan 650033)
出处
《安徽农业科学》
CAS
2024年第11期54-59,共6页
Journal of Anhui Agricultural Sciences
基金
国家自然科学基金项目(41761081)。
关键词
土地利用
空间权重矩阵
空间自相关
空间自回归模型
元谋县
Land use
Spatial weight matrix
Spatial autocorrelation
Spatial autoregression model
Yuanmou County
作者简介
胡锐(1995—),男,云南文山人,工程师,硕士,从事地理信息系统及自然保护地规划研究;通信作者:赵俊三,教授,博士,博士生导师,从事GIS和国土资源信息化研究。
