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Extension of Penman's formulae to multi-layer models
Authors:Jean Paul Lhomme
Institution:(1) Chaire de Bioclimatologie, Institut National Agronomique Paris-Grignon, 78850, Thiverval-Grignon, France;(2) Present address: Centro Agronomico Tropical de Investigacion y Ensenanza, Turrialba, Costa Rica
Abstract:In this paper, the well-established multi-layer model originally devised by Waggoner and Reifsnyder (1968) is used. This steady-state model based on an electrical analogue simulates the energy exchange between the vegetation and the atmosphere. A purely mathematical development of the basic equations of this model yields explicit expressions of the total fluxes of sensible and latent heat at the top of the canopy as a function of the net radiation absorbed in each layer, the soil heat flux, the water vapour pressure deficit at a reference height and the whole set of elementary conductances (stomatal, boundary-layer and aerodynamic). These new equations can be considered as a generalization of the familiar Penman's formulae to a multi-layer model.
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