Using negative exponential function to characterize built-up land density along slope gradient for 19 urban areas in China  

作　　者：SONG Yufei PENG Qiuzhi LU Jiating LYU Leting PENG Fengcan 

机构地区：[1]Faculty of Land Resources Engineering,Kunming University of Science and Technology,Kunming 650093,China [2]Surveying and Mapping Geo-informatics Technology Research Center on Plateau Mountains of Yunnan Higher Education,Kunming 650093,China [3]Yunnan Natural Resources and Planning Intelligence Innovation Laboratory,Kunming 650093,China [4]School of Geographical Sciences,Liaoning Normal University,Dalian 116029,China

出　　处：《Journal of Mountain Science》2024年第11期3859-3870,共12页山地科学学报（英文）

基　　金：supported by the project of the National Natural Science Foundation of China entitled“Distribution and change characteristics of construction land on slope gradient in mountainous cities of southern China”(No.41961039).

摘　　要：In China,numerous cities are expanding into sloping land,yet the quantitative distribution patterns of urban built-up land density along the slope gradient remain unclear,limiting the understanding of sloping land urbanization.In this paper,a simple negative exponential function was presented to verify its applicability in 19 typical sloping urban areas in China.The function fits well for all case urban areas(R^(2)≥0.951,p<0.001).The parameters of this function clearly describe two fundamental attributes:initial value a and decline rate b.Between 2000 and 2020,a tends to increase,while b tends to decrease in all urban areas,confirming the hypothesis of mutual promotion between flatland densification and sloping land expansion.Multiple regression analysis indicates that the built-up land density and the ruggedness of background land can explain 70.7%of a,while the average slope ratio of built-up land to background land,the built-up land density and the built-up land area can explain 82.1%of b.This work provides a quantitative investigative tool for distribution of urban built-up land density along slope gradient,aiding in the study of the globally increasing phenomenon of sloping land urbanization from a new perspective.

关 键 词：Negative exponential function Urban built up land density Slope gradient Sloping urban area Sloping land urbanization Mountain area 

分 类 号：TU984[建筑科学—城市规划与设计] F301.2[经济管理—产业经济]