@article{fdi:010068785,
  title = {{M}atching the {B}udyko functions with the complementary evaporation relationship : consequences for the drying power of the air and the {P}riestley-{T}aylor coefficient},
  author = {{L}homme, {J}ean-{P}aul and {M}oussa, {R}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he {B}udyko functions {B}-1({P}hi(p))are dimensionless relationships relating the ratio {E}/{P} (actual evaporation over precipitation) to the aridity index {P}hi(p) = {E}-p/{P} (potential evaporation over precipitation). {T}hey are valid at catchment scale with {E}-p generally defined by {P}enman's equation. {T}he complementary evaporation ({CE}) relationship stipulates that a decreasing actual evaporation enhances potential evaporation through the drying power of the air which becomes higher. {T}he {T}urc-{M}ezentsev function with its shape parameter lambda, chosen as example among various {B}udyko functions, is matched with the {CE} relationship, implemented through a generalised form of the advection-aridity model. {F}irst, we show that there is a functional dependence between the {B}udyko curve and the drying power of the air. {T}hen, we examine the case where potential evaporation is calculated by means of a {P}riestley-{T}aylor type equation ({E}-0) with a varying coefficient alpha(0). {M}atching the {CE} relationship with the {B}udyko function leads to a new transcendental form of the {B}udyko function {B}-1'({P}hi(0)) linking {E}/{P} to {P}hi(0) = {E}-0/{P}. {F}or the two functions {B}-1({P}hi(p)) and {B}-1'({P}hi(0) ) to be equivalent, the {P}riestley-{T}aylor coefficient alpha(0) should have a specified value as a function of the {T}urc-{M}ezentsev shape parameter and the aridity index. {T}his functional relationship is specified and analysed.},
  keywords = {},
  booktitle = {},
  journal = {{H}ydrology and {E}arth {S}ystem {S}ciences},
  volume = {20},
  numero = {12},
  pages = {4857--4865},
  ISSN = {1027-5606},
  year = {2016},
  DOI = {10.5194/hess-20-4857-2016},
  URL = {https://www.documentation.ird.fr/hor/fdi:010068785},
}