The Ultraviolet Index is well estimated by the terrestrial irradiance at 310nm
Peter D. Kaplan, Emmanuel L.P. Dumont

TL;DR
This study demonstrates that the UV Index can be accurately estimated using the irradiance at 310nm, simplifying UV exposure assessment for health-related applications.
Contribution
The paper shows that the UV Index is well approximated by a simple linear relation with irradiance at 310nm, supported by analysis of extensive spectral data and atmospheric modeling.
Findings
UVI correlates strongly with 310nm irradiance
Linear model UVI = 77 * I(310nm) fits data well
Model applies across diverse atmospheric conditions
Abstract
Ultraviolet (UV) exposure significantly contributes to non-melanoma skin cancer. In the context of health, UV exposure is the product of time and the UV Index (UVI), a weighted sum of the irradiance I(lambda) over all wavelengths from lambda = 250 to 400nm. In our analysis of the United States Environmental Protection Agency's UV-Net database of over four-hundred thousand spectral irradiance measurements taken over several years, we found that the UVI is well estimated by UVI = 77 I(310nm). To better understand this result, we applied an optical atmospheric model of the terrestrial irradiance spectra and found that it applies across a wide range of conditions.
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