中文摘要：

运用C-D生产函数,对黑龙江省农业投入与粮食单产进行弹性分析,以测定各投入要素对粮食单产的影响程度;进而基于县域统计数据,采用GWR模型并根据其回归系数,探讨各投入要素对单产影响的空间分异规律。结果表明：1）各农业投入要素弹性系数均大于0.005,对粮食单产均具有显著影响,贡献率大于30%的投入要素依次为农机总动力、有效灌溉面积以及化肥纯量;2）空间分异方面,除农机总动力与有效灌溉面积外,其他要素回归系数存在负值;各农业投入对粮食单产的影响存在显著的空间差异和方向性差异,回归系数绝对值普遍由平原区向山地丘陵区呈递减趋势,平原地区各县粮食单产受各投入要素正向影响主导,而山地丘陵地区受正向影响较弱,负向影响更为显著。

英文摘要：

With C-D production function,the output elasticity of agricultural inputs and grain yield in Heilongjiang Province were analyzed to determine the degree of influence of agricultural inputs on the grain yield,then based on the county level statistical data,with Geographically Weighted Regression model and the regression coefficients,the effects of spatial differentiation were explored. The results showed that： 1） The elasticity of agricultural input factors are greater than 0. 005,and all of them significantly affected the grain yield. Input factors with the contribution rate greater than 30% are followed by gross agricultural machinery,effective irrigation area and the amount of fertilizer application. 2） On the aspect of spatial differentiation,in addition to gross agricultural machinery and effective irrigation area,there exist negative regression coefficients for other elements. There are significant differences in the influence of spatial and directionality. Generally,the absolute value of the regression coefficients show a decreasing trend from the plains to the mountainous and hilly areas,counties grain yield of plain areas mainly are affected by the positive effect of the input elements,while the mountainous and hilly areas are affected by weak positive effect,negative effect is more significant.