Milly, P. C. D., 1991: A refinement of the combination equations
for evaporation. Surveys in Geophysics, 12, 145-154.
Abstract: Most combination equations for evaporation rely on a linear
expansion of the saturation vapor-pressure curve around the air temperature.
Because the temperature at the surface may differ from this temperature
by several degrees, and because the saturation vapor-pressure curve is
nonlinear, this approximation leads to a certain degree of error in those
evaporation equations. It is possible, however, to introduce higher-order
polynomial approximations for the saturation vapor-pressure curve and to
derive a family of explicit equations for evaporation, having any desired
degree of accuracy. Under the linear approximation, the new family of equations
for evaporation reduces, in particular cases, to the combination equations
of H. L. Penman (Natural evaporation from open water, bare soil and grass.
Proc, R. Soc. London, Ser. A, 193, 120-145, 1948) and of
subsequent workers. Comparison of the linear and quadratic approximations
leads to a simple approximate expression for the error associated with
the linear case. Equations based on the conventional linear approximation
consistently underestimate evaporation, sometimes by a substantial amount.