1:3.5.2 Generated Daily Value

The triangular distribution used to generate daily relative humidity values requires four inputs: mean monthly relative humidity, maximum relative humidity value allowed in month, minimum relative humidity value allowed in month, and a random number between 0.0 and 1.0.

The maximum relative humidity value, or upper limit of the triangular distribution, is calculated from the mean monthly relative humidity with the equation:

$R_{hUmon}=R_{hmon}+(1-R_{hmon})*exp(R_{hmon}-1)$ 1:3.5.4

where $R_{hUmon}$ is the largest relative humidity value that can be generated on a given day in the month, and $R_{hmon}$ is the average relative humidity for the month.

The minimum relative humidity value, or lower limit of the triangular distribution, is calculated from the mean monthly relative humidity with the equation:

1:3.5.5

where is the smallest relative humidity value that can be generated on a given day in the month, and is the average relative humidity for the month.

The triangular distribution uses one of two sets of equations to generate a relative humidity value for the day. If then

1:3.5.6

If then

1:3.5.7

where is the average relative humidity calculated for the day, is a random number generated by the model each day, is the average relative humidity for the month, is the smallest relative humidity value that can be generated on a given day in the month, is the largest relative humidity value that can be generated on a given day in the month, and is the mean of and .