CAJ | 학술논문

为分析环渤海省市沿海区域耕地格局与影响因子的关系，以耕地在5 km×5 km网格单元所占比例为因变量，选用地形、距离、气候及人口等10个影响因子为自变量，分别建立普通最小二乘法线性回归模型、空间滞后模型、空间误差模型、地理加权回归模型。结果表明：耕地格局及各影响因子均呈现较强的空间正相关，并随距离增大而减少；针对该研究，空间滞后模型、空间误差模型和地理加权回归模型模拟效果均优于普通最小二乘法线性回归模型，空间误差模型优于空间滞后模型；从全局上来讲，高程、坡度、到最近公路距离与耕地格局呈负相关影响，距最近海岸线、铁路、居民点距离、多年平均气温和多年平均降水与耕地格局呈正相关。从局部上来讲，除了多年平均降水对各网格单元内耕地面积均呈正向影响外，其余影响因子随网格单元变化正负向影响均存在。多年平均气温和多年平均降水是主要的、最敏感的正向影响因子，高程、坡度和距最近水系距离为主要的、最敏感的负向影响因子。
위분석배발해성시연해구역경지격국여영향인자적관계，이경지재5 km×5 km망격단원소점비례위인변량，선용지형、거리、기후급인구등10개영향인자위자변량，분별건립보통최소이승법선성회귀모형、공간체후모형、공간오차모형、지리가권회귀모형。결과표명：경지격국급각영향인자균정현교강적공간정상관，병수거리증대이감소；침대해연구，공간체후모형、공간오차모형화지리가권회귀모형모의효과균우우보통최소이승법선성회귀모형，공간오차모형우우공간체후모형；종전국상래강，고정、파도、도최근공로거리여경지격국정부상관영향，거최근해안선、철로、거민점거리、다년평균기온화다년평균강수여경지격국정정상관。종국부상래강，제료다년평균강수대각망격단원내경지면적균정정향영향외，기여영향인자수망격단원변화정부향영향균존재。다년평균기온화다년평균강수시주요적、최민감적정향영향인자，고정、파도화거최근수계거리위주요적、최민감적부향영향인자。
In this paper, coastal zone of Circum Bohai Sea Region which covers an area of approximately 170, 000 km2 was selected as the study area. The spatial distribution characteristics of farmland of this study area were analyzed and the relationship between farmland distribution and natural, social or economic impacting factors was explored. Based on Landsat TM images acquired in 2009/2010, farmland distribution map was created through visual interpretation with auxiliary data in ArcGIS 9.3. Then farmland distribution map was overlaid with a lattice map to statistic area of farmland in each 5 km × 5 km lattice. Impacting factors of farmland consisted of elevation, slope, distance to nearest coastline, distance to nearest railway, distance to nearest road, distance to nearest residential area, distance to nearest river, average yearly precipitation, average yearly temperature and population density, which were compiled into raster format data with a spatial resolution of 5 km × 5 km and normalized between 0 and 1 in ArcGIS 9.3. As conventional statistical methods assumed that the data to be analyzed was statistically independent, it was inappropriate to use traditional statistical method to analyze spatial land use data which had a tendency to be dependent. In this study, ordinary least square linear regression model (OLS), spatial error model (SEM), spatial lag model (SLM) and geographically weighted regression model (GWR) were established from global and local perspectives. Several evaluation indexes were selected to assess the performance of those models. The results showed that:1) Farmland was the main land use type, which occupied 53%of the whole study area. Positive spatial autocorrelation that decreased gradually with distance was detected in both farmland distribution and impacting factors; 2) Spatial autoregressive models and GWR had a better goodness-of-fit than conventional linear regression model. As to spatial autoregressive models, SEM performed better than SLM in this study, as was indicated by higher preudo R2 value and maximum likelihood logarithm (LIK) value, and lower Akaike information criterion (AIC) value, Schwartz criterion (SC) value and residuals for the former model; 3) GWR could be used to explore spatial variation in the relations between cultivated land distribution and different impacts factors, providing more detailed information, while SEM could only explore the relations from a global view;4) The SEM showed a positive correlation between farmland and elevation, slope, distance to the nearest roads, as well as a negative correlation between farmland and distance to nearest shoreline, distance to nearest railroad, distance to nearest settlements, average yearly temperature, average yearly precipitation from a global perspective;and 5)The GWR revealed both positive and negative correlations between farmland and impacting factors (expect for average yearly precipitation). Among the most sensitive factors affecting farmland distribution, average yearly temperature and average yearly precipitation were the main positive factors, while elevation, slope and distance to nearest residential area were the main negative factors.