of using photovoltaic arrays to power irrigation systems became less than the discounted cost of purchasing electricity for powering irriga- tion systems before the year 2000 (Table 3). Table 3.--Estimated first year in which photovoltaic irrigation systems are economically feasible Buy-back ratio Scenario 0.25 0.50 0.75 1.0 1.25 1.50 Optimistic 1990 1987 1986 1985 1985 1984 Base 1997 1985 1993 1992 1991 1990 Pessimistic 2000+ 2000+ 1998 1997 1995 1994 Simulation results for the optimistic scenario, which assumed a rapid decline in photovoltaic system costs and a significant increase in electricity rates, indicated the first year of economic feasibility could occur as early as 1984 if the buy-back ratio was 1.50. Generally, each increase of 0.25 in the buy-back ratio moved the initial year of economic feasibility toward the present by 1 to 2 years. Increasing the buy-back ratio from 0.25 to 0.50 changed the initial year of feasibility from 1990 to 1987 whereas increasing the buy-back ratio from 1.25 to 1.50 changed the initial year of economic feasibility from 1985 to 1984. The estimated differences in the discounted costs of photovoltaic powered and conventional electric powered systems assuming the investment is made in succeeding years from 1980 to 2000 are plotted in Figure 2 for several buy-back ratios. The base model scenario was characterized by a moderate decline in the cost of photovoltaic systems over time. Similarly, the annual increase in utility electric rates was also moderate, increasing at an annual real rate of 2 percent. As with the optimistic scenario, as the buy-back ratio increased, the first year of economic feasibility moved closer to the present. With the buy-back ratio at 0.25, the initial year of feasibility was 1997, whereas a buy-back ratio of 1.50 resulted in photovoltaic systems being economically feasible in 1990. In general, each 0.25 increase in the buy-back ratio moved the initial year of