Series Graph 2

aa (Coefficient of Evaporation Change) = 0.02

bb (Coefficient of Precipitation) = 0.01 (Constant)

yy (Magnitude of Evaporation Change) = -0.01

 

xx (Delayed Timing of Peak Evaporation Change) = pi/2 = 0 days

The onset of peak evaporation is the same as the onset of peak precipitation. The magnitude of the evaporation change was lowered which produced a lower rate of evaporation during the growing seasons. The large blue area between the upper precipitation curve and the lower evaporation curve shows a large surplus resulting in an increase of 29% in the crop yield.

 

xx (Delayed Timing of Peak Evaporation Change) = 9*pi/16 = 15 days

The onset of peak evaporation is 15 days after the peak precipitation. The magnitude of the evaporation change was lowered which produced a lower rate of evaporation during the growing seasons. This allows for a larger surplus area and a slight deficit towards the end of the growing. There is an increase of 22% in the crop yield.

 

xx (Delayed Timing of Peak Evaporation Change) = 2*pi/3 = 30 days

The onset of peak evaporation is 30 days later than the peak precipitation. The magnitude of the evaporation change was lowered which produced a lower rate of evaporation during the growing seasons. This shift leads to a large surplus (blue) at the beginning of the growing season and a smaller deficit (red) late in the growing season. There is an increase of 11% in the crop yield.

 

xx (Delayed Timing of Peak Evaporation Change) = 3*pi/4 = 45 days

The onset of peak evaporation is 45 days later than the peak precipitation. The magnitude of the evaporation change was lowered which produced a lower rate of evaporation during the growing seasons. Note that the surplus area is shrinking as compared to the previous graph but the deficit area is growing. There was an increase of 2% in the crop yield.

 

xx (Delayed Timing of Peak Evaporation Change) = pi = 90 days

The onset of peak evaporation is 90 days later than the peak precipitation. The magnitude of the evaporation change was lowered which produced a lower rate of evaporation during the growing seasons. There is a large area of surplus, but the large area of deficit late in the growing season outweighs this area. There was a reduction of 14% in the crop yield.

 


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