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中文摘要：
以生态环境脆弱的甘肃省为研究区，选用状态空间法从生态功能弹性力、资源环境供容力以及社会经济协调力3个维度构建生态承载力评价指标体系，对甘肃省2010年生态承载力的空间分异特征、空间关联特征以及耦合协调性进行分析。结果表明：①空间分布上，甘肃省生态承载力总体呈现东南高西北低，从东南高承载区向西北弱承载区逐级递减的空间分布格局；相近或相异生态地理分区的生态承载力表现出空间和数量上的一致性和差异性；特别地，河西走廊独特的绿洲生态景观，促使该地区生态承载力存在明显的空间异质性。②空间关联上，甘肃省生态承载力的分布呈正的全局空间自相关，存在显著的高值（或低值）集聚区；局部空间自相关LISA集聚类型主要包括HH和LL 2种类型，前者分布于甘南高原、陇南山地及河西走廊以南的祁连山区，后者则分布于苏干湖水系以北的酒泉境内与石羊河流域下游的武威民勤地区。③耦合协调性上，甘肃省生态承载力综合耦合协调性空间差异较大，从东南到西北呈现高-低协调相间分布的格局；较高协调地区出现在甘肃省东南部与河西走廊中东段，而较低协调地区则位于兰州-白银经济区及河西走廊西段；维度间耦合协调性受制于本地区自然和人文环境状况，使其空间分布与协调程度表现得不尽相同。
英文摘要：
We selected Gansu Province, China-an environmentally and ecologically fragile region-as a case study for exploring the use of state-space techniques in constructing systems for evaluating ecological carrying capacity based on ecological function elasticity, resource supply and environmental capacity, and socio-economic coordination. Spatial heterogeneity, spatial autocorrelation, and coupling coordination characteristics of Gansu in 2010 were then analyzed. The results indicated that （1） the overall ecological carrying capacity of Gansu declined progressively from a high in the southeast to a low in the northwest, and that similar and dissimilar eco-geographical regions reflect the similarities and differences in ecological carrying capacity both spatially and quantitatively. In particular, the Hexi corridor, a unique oasis of ecological landscapes, is a primary cause of the distinct spatial heterogeneity. （2） Spatial autocorrelation of the distribution of ecological carrying capacity is positive, existing in high （or low） value cluster areas. LISA cluster of local spatial autocorrelation can be divided into two types, consisting of HH and LL cluster areas, with the former concentrated in the Gannan Plateau, and the Longnan and Qilian mountain ranges, whereas the latter cluster encompasses the northern Sugan Lake river system and the Minqin Wuwei region downstream of the Shiyang River. （3） The comprehensive coupling coordination of ecological carrying capacity indicates the existence of large regional differences, appearing interphase distribution between high and low levels extending from the southeast to the northwest. Relatively high coordination areas are mostly located in the southeast of Gansu and the mid-eastern section of the Hexi corridor, whereas comparatively lower coordination areas situated in Lanzhou-Baiyin economic region and the western Hexi corridor. The coupling coordination between each dimension is subjected to the present situation of natural and human environments, resulting
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