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On the variability of the Priestley‐Taylor coefficient over water bodies
Author(s) -
Assouline Shmuel,
Li Dan,
Tyler Scott,
Tanny Josef,
Cohen Shabtai,
BouZeid Elie,
Parlange Marc,
Katul Gabriel G.
Publication year - 2016
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1002/2015wr017504
Subject(s) - advection , standard deviation , water vapor , turbulence , cutoff , flux (metallurgy) , sensible heat , gaussian , environmental science , mathematics , thermodynamics , meteorology , atmospheric sciences , materials science , physics , statistics , quantum mechanics , metallurgy
Abstract Deviations in the Priestley‐Taylor (PT) coefficient α PT from its accepted 1.26 value are analyzed over large lakes, reservoirs, and wetlands where stomatal or soil controls are minimal or absent. The data sets feature wide variations in water body sizes and climatic conditions. Neither surface temperature nor sensible heat flux variations alone, which proved successful in characterizing α PT variations over some crops, explain measured deviations in α PT over water. It is shown that the relative transport efficiency of turbulent heat and water vapor is key to explaining variations in α PT over water surfaces, thereby offering a new perspective over the concept of minimal advection or entrainment introduced by PT. Methods that allow the determination of α PT based on low‐frequency sampling (i.e., 0.1 Hz) are then developed and tested, which are usable with standard meteorological sensors that filter some but not all turbulent fluctuations. Using approximations to the Gram determinant inequality, the relative transport efficiency is derived as a function of the correlation coefficient between temperature and water vapor concentration fluctuations ( R Tq ). The proposed approach reasonably explains the measured deviations from the conventional α PT  = 1.26 value even when R Tq is determined from air temperature and water vapor concentration time series that are Gaussian‐filtered and subsampled to a cutoff frequency of 0.1 Hz. Because over water bodies, R Tq deviations from unity are often associated with advection and/or entrainment, linkages between α PT and R Tq offer both a diagnostic approach to assess their significance and a prognostic approach to correct the 1.26 value when using routine meteorological measurements of temperature and humidity.

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