柯布-道格拉斯生产函数于河南省粮食种植产业的实证研究

Empirical Research of Grain Plant Industry in Henan Province with Cobb-Douglas Function

为了实证研究种植产业投入要素对粮食产出的贡献率,比较人力与资本投入对产出的影响,验证种植产业是否存在规模经济效用,选取中国粮食产量最大、人口最多的河南省,1978—2009年单位耕地面积的粮食产量、从业人数、农业机械动力作为分析指标,运用柯布-道格拉斯生产函数进行回归分析,Wald检验具有约束条件的回归系数,定量分析河南粮食种植业投入要素与产出量之间的关系,发掘数量关系特征和存在的问题,有针对性的提出建议和措施。结果表明,河南省人力投入对种植业产出的贡献度指数超过90%,Wald检验简化后的柯布-道格拉斯函数拟合度较好,即河南省丰富的农业劳动力资源对粮食产出具有较大比例的贡献度,种植业规模经济优势不明显。

In order to research on the contribution rate of input factors to cultivate industry,and compare the effect of human and capital investment on output,test and verify economies of scale.The author selected 1978-2009 unit of the cultivated area grain yield,number of employees,agricultural machinery power as analysis indicators in Henan Province,which had the biggest grain output,the largest population of China,using Cobb-Douglas production function of regression analysis,Wald inspection with the constraint condition of regression coefficients,quantitatively analyzed the relationship between input elements and output,discovered the quantity relationship characteristics and existing problems,targeted some suggestions and measures.The results showed that human input made more than 90% contribution of farming outputs index in Henan Province,Wald-test the simplified Cobb-Douglas functions fitted good,the agricultural labor force made a large proportion of contribution to grain plant industry,and economies of scale effect was not obvious.