Abstract:Ecological carrying capacity is an important indicator to measure the supporting capacity of social economy and resource environment subsystems. There is to some extent an interplay between ecological carrying capacity and ecological functions which have positive effects on the region. Exploration of their interactive coupling relationship can objectively reflect the degree of coordination between regional economic development and the ecological environment. This paper is based on the domestic and foreign research of productive ecological carrying capacity, and combined with evaluation methods of the 4 ecological functions, including water conservation function, wind prevention and sand fixation function, biodiversity conservation function, and soil and water conservation function, which were worked out by ecological protection redline delimitation. The per capita ecological carrying capacity and its coupling coordinative degree with different ecological functions and its influential factors of Baoding City in 2010 and 2017 was measured and analyzed. The results show that: 1) the total and per capita ecological carrying capacity of Baoding in 2010 and 2017 were improved from 2.55×107 hm2 to 2.94×107 hm2, and from 2.64 hm2 to 2.94 hm2 respectively, indicating that the supporting capacity of Baoding's ecosystem continued to increase. The cultivated land and grassland had the largest contribution to the carrying capacity. The value decreased from north to south from the perspective of spatial distribution, and the urban area had the lowest value. 2) High-value areas of all ecological functions were mainly concentrated in the northwest of Baoding, with the strongest water conservation function, which hadn't changed much in two years. 3) The time series of coupling coordinative degree between per capita ecological carrying capacity and ecological functions had little change. Water conservation function had the highest coupling coordinative degree with ecological carrying capacity. The overall distribution pattern of coupling coordination degree was dominated by the strength of ecological functions, while the range and degree of change were controlled by ecological carrying capacity. According to the coupling results, the coordinative degree of land and water conservation function could be divided into 3 categories including low carrying capacity-low coupling zone, high carrying capacity-high coupling zone, and low carrying capacity-high coupling zone. Different coupling types reflected the spatial variation rules of coupling coordinative degree, which was the result of the double action of ecological conditions and social economic development. 4) Economic and social development level, natural endowment, regional development strategy and other factors had the major impacts on the changes and distribution of different types of coupling coordinative degree in Baoding. While the influence of economic activities exceeded the positive effects caused by natural conditions, the coordinative results became worse. The regional development policy was the general direction of the change of coupling coordinative degree and had the advantage of policy guidance, which could promote the linkage of regional ecological carrying capacity and ecological functions as a whole, and also stimulated the potential of less developed areas and underdeveloped territory. The research results will provide a theoretical reference for the comprehensive construction of ecological sustainable development in Baoding.