Stochastic Daily Solar Irradiance for Biological Modeling Applications
[PDF]
James W. Hansen
Submitted April 6, 1998 to Agricultural and Forest Meteorology
Abstract
Stochastic daily weather generators commonly used for biological modeling applications produce
poor representations of empirical distributions of global solar irradiance. The daily clearness
index, the ratio of daily global to extraterrestrial irradiance, captures the stochastic component of
solar irradiance due to atmospheric conditions. Three alternative models of daily solar irradiance
(truncated gaussian distributions, logit-transformed relative clearness, and a family of empirically-derived
distributions) conditioned on the occurrence of rain are described and evaluated using
data from ten U.S. locations. The models are presented in terms of monthly cumulative
distributions and density functions of clearness. Strong non-normality of distributions of
clearness, and improved fits obtained with a logit transformation, are demonstrated. The model
based on a logit transformation of relative clearness was superior to the other two in terms of
goodness-of-fit and Akaike's information criterion, and is recommended for stochastic generation
of daily irradiance conditioned on daily rainfall and temperature extremes. Results suggest that
published mean coefficients of autocorrelation, and of cross-correlation coefficients with
temperature extremes, do not need modification.
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