Irrigation production functions with water‐capital substitution
研究了灌溉作物产量不仅取决于总用水量，还取决于灌溉时间安排，并推导了包含资本（灌溉设备支出）的生产函数，分析了水与资本的替代关系及其对水需求和技术采用的影响。
Abstract The dynamics of biomass growth implies that the yield of irrigated crops depends, in addition to the total amount of water applied, on irrigation scheduling during the growing period. Advanced irrigation technologies relax constraints on irrigation rates and timing, allowing us to better adjust irrigation scheduling to the varying needs of the plants along the growing period. Irrigation production functions, then, should include capital (or expenditures on irrigation equipment) in addition to aggregate water. We derive such functions and study their water‐capital substitution properties. Implications for water demand and adoption of irrigation technologies are investigated. A numerical example illustrates these properties.