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借助物理学中的场理论作为研究工具,对柯布-道格拉斯生产函数和列昂惕夫投入产出方法进行了改进和处理,以产出函数梯度模型和产业关联梯度场模型对甘肃省三次产业的产出效率和各产业在经济空间中的地位、作用及其动态变化情况进行了量化分析。研究结果表明:1)近20年来甘肃省三次产业的产出梯度中,第一产业波动较大,期间有一个明显的隆起;第二产业变化较小,基本呈现逐年增大、前慢后快的特点;第三产业变化平稳,前期有所起伏。2)2007年甘肃省产业关联梯度场中,二产在经济空间中的地位和作用趋于上升,一产相对稳定而三产有所下降。3)二产内部能源原材料行业仍占主导地位,装备制造、电子信息和轻工行业的地位有所上升,建筑业地位趋于下降。通过产出梯度、影响力梯度和感应度梯度的变化判断出不同产业在经济空间中的地位、作用、影响及其变化,为甘肃省制定相应的产业发展政策提供科学依据。
With the field theory in physics as a research tool, the Cobb-Douglas production function and the Leontief method of input-output are improved and processed. The output function gradient model and the industrial association gradient field model are used to analyze the three industries of Gansu Province The output efficiency and the status of each industry in the economic space, the role and dynamic changes in the quantitative analysis. The results show that: 1) Among the output gradients of the three industries in Gansu Province in recent 20 years, the primary industry fluctuates greatly during the period. There is a clear uplift in the period. The secondary industry shows little change and basically increases year by year. The characteristics of the tertiary industry steady changes in the previous ups and downs. 2) In Gansu Province in 2007, the status and role of the second industry in the economic space tend to rise, while the first industry is relatively stable while the third industry declines. 3) The secondary energy and internal energy raw materials industry still holds the dominant position. The status of equipment manufacturing, electronic information and light industry industries has risen, and the status of construction industry tends to decline. Judging from the change of output gradient, influence gradient and sensitivity gradient, the status, function, influence and change of different industries in economic space are determined to provide scientific basis for Gansu Province to formulate corresponding industrial development policies.