TITLE:
UV Index Modeling by Autoregressive Distributed Lag (ADL Model)
AUTHORS:
Alexandre Boleira Lopo, Maria Helena Constantino Spyrides, Paulo Sérgio Lucio, Javier Sigró
KEYWORDS:
UV Flux; Dynamic Linear Regression Model; Seasonal Man-Kendall Test; Mean Squared Error; Residuals
JOURNAL NAME:
Atmospheric and Climate Sciences,
Vol.4 No.2,
April
25,
2014
ABSTRACT: The objective of this work is to model
statistically the ultraviolet radiation index (UV Index) to make forecast
(extrapolate) and analyze trends. The task is relevant, due to increased UV flux and high rate of cases
non-melanoma skin cancer in northeast of Brazil. The methodology utilized an Autoregressive Distributed Lag model (ADL) or
Dynamic Linear Regression model. The monthly data of UV index were measured in
east coast of the Brazilian Northeast (City of Natal-Rio Grande do Norte). The
Total Ozone is single explanatory variable to model and was obtained from the
TOMS and OMI/AURA instruments. The Predictive Mean Matching (PMM) method was
used to complete the missing data of UV Index. The results
mean squared error (MSE) between the observed UV index and interpolated data by
model was of 0.36 and for extrapolation was of 0.30 with correlations of 0.90
and 0.91 respectively. The forecast/extrapolation performed by model for a
climatological period (2012-2042) indicated a trend of increased UV
(Seasonal Man-Kendall test scored τ =
0.955 and p-value 0.001) if the Total Ozone remain on this
tendency to reduce. In those circumstances, the model indicated an increase of
almost one unit of UV index to year 2042.