New findings about the complementary relationship-based evaporation estimation methods

Abstract

A novel approach has been found to estimate the equilibrium surface temperature (T e ) of wet environment evaporation (E w ) on a daily basis. Employing this temperature in the Priestley-Taylor equation as well as in the calculation of the slope of the saturation vapor pressure curve with pan measurements improved the accuracy of longterm mean evaporation (E) estimation of the Advection-Aridity (AA) model when validated by Morton's approach. Complementarity of the potential evaporation (E p ) and E terms was considered both on a daily and a monthly basis with the involved terms always calculated daily from 30 yr of hourly meteorological measurements of the 1961-1990 period at 210 SAMSON stations across the contiguous US. The followings were found: (a) only the original Rome wind function of Penman yields a truly symmetric Complementary Relationship between E and E p which makes the so-obtained E p estimates true potential evaporation values; (b) the symmetric version of the modified AA model requires no additional parameters to be optimized; (c) for a long-term mean value of evaporation the modified AA model becomes on a par with Morton's approach not only in practical applicability but also in its improved accuracy, especially in arid environments with possible strong convection; (d) the latter two models yielded long-term mean annual evaporation estimates with an R 2 of 0.95 for the 210 stations, which is all the more remarkable since they employ very different approaches for their E p calculations; (e) with identical apparent E p values the two models yielded practically identical long-term mean annual evaporation rates; (f) with the proper choice of the wind function to estimate apparent E p the long-term mean annual E estimates of the modified AA model are still very close (R 2 = 0.93) to those of the Morton approach. ª

A Calibration-Free Evapotranspiration Mapping (CREMAP) Technique

“…(1), Morton et al (1985) specify E p and E w differently in their WREVAP model, but in a way that Eq. (1) is still valid (Szilágyi & Józsa, 2008). They suggest Eq.…”

Complementary relationship of evaporation and the mean annual water‐energy balance

“…Equation (1), when D is evaluated at the measured air temperature (representing nonwet conditions) is the classical advectionaridity (AA) model of Brutsaert and Stricker [1979]. Szilagyi and Jozsa [2008] and Szilagyi et al [2009] recommended a way to reduce the nonwet air temperature to bring it closer to wet environment conditions and evaluated the slope of the saturated vapor pressure curve at that temperature. Such a temperature modification proved to be advantageous in semiarid conditions, thus this modification of the AA model is kept here.…”

Evapotranspiration Estimation Based on the Complementary Relationships

“…The concept of Tu proposed by these authors is analogous to the dew point temperature (Td) definition. Szilagyi & Jozsa (2008) presented a long term ET calculation using the AA model. In their work the authors presented a novel method to calculate the equilibrium temperature of Ew and P-T equation that yields better long-term ET estimates.…”