clim_norm
is a monthly data frame of climate normals, with column names: "P", "Tn", "Tx", "Tm" (precipitation, minimum, maximum and mean temperature, respectively). It can be the output of function climate
.Monthly potential evapotranspiration (PE) is calculated via the Hargreaves' formula (Hargreaves and Samani, 1985):
PE = (0.0023*(clim_norm$Tx - clim_norm$Tn)^(0.5)*(clim_norm$Tm+17.8)*coeff_rad)* lmv * coeff_Hargr
where Tn, Tx, Tm are min, max, and mean temperatures, respectively, and lmv is the number of days in any month.
coeff_rad
and coeff_Hargr
are needed only by Thornthwaite's annual index Im
and UNEP's Ai
index, whose PE term is calculated via Hargreaves' equation.
coeff_rad
corresponds to the mean monthly extra-atmospheric radiation (see function ExAtRa
).
coeff_Hargr
is either a single value or a vector of 12 coefficients to adjust Hargreaves' estimation of potential evapotranspiration (implemented in Im
and Ai
indices). From calibration in 6 stations from the same network of Trent_climate
, its average value is 0.75.
When monthly
is TRUE
, a data frame with monthly detail is generated for one station, instead of a synthetic single-line data frame.
indices
' values are the following:
1 De Martonne - Ia (annual or monthly). De Martonne, 1925.
2 Thornthwaite - Im (annual or monthly). Thornthwaite, 1948.
3 Emberger - Q (annual only). Emberger, 1955.
4 Lang - R (annual only). Lang, R., 1920.
5 Rivas-Martinez - Io (annual only). Rivas - Martinez, website http://www.iao.florence.it/training/geomatics/BenSlimane/Marocco21_3_1_2.htm
6 UNEP - Ai (annual only). UNEP, 1997.
A reference for the aridity degree for any index is given in the list object arid_ind_tables
(see Trent_climate
.