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TitleAn introduction to the hyperspace of Penman-Monteith reference evapotranspiration
Author(s)Haie, Naim
Pereira, Rui M. S.
Machado, Gaspar J.
Shahidian, S.
KeywordsClimate change
Domain discretization
Hyperspace HyperET
Infeasible regions of ETo
n-dimensional analysis
Penman-Monteith Evapotranspiration (ETo)
Sefficiency (Sustainable efficiency)
Water management and design
Water scarcity
domain discretisation
Issue date2019
JournalInternational Journal of Hydrology Science and Technology
CitationHaie N., Pereira R. M. S., Machado G. J. B. Q. A., Shahidian S. An Introduction to the Hyperspace of Penman-Monteith Reference Evapotranspiration, International Journal of Hydrology Science and Technology, IJHST, doi:10.1504/IJHST.2019.096797, 2019.
Abstract(s)Evapotranspiration is crucial and very relevant to hydrology, particularly under global warming and the growing water scarcity. The FAO Penman-Monteith is the highly used method to calculate the daily standardized reference evapotranspiration (ETo). It utilizes seven variables, mostly climatic, and produces a complex n-dimensional domain (or hyperspace). No study has presented the internal structure of this 8D space which forms the objective of the present work. To this end, a computer program called HyperET is developed to facilitate the advancement of two intertwined processes: creating windows into the hyperspace and understanding the resulting regions of the domain. The former gives 2D figures for partial analysis and the latter presents significant infeasible regions which are subspaces composed of ETo values outside its chosen minimum and maximum (or thresholds). HyperET is expensive computationally and presents an ETo domain that resembles Swiss holey cheese with three types of infeasible regions and emerging non-linearity. 
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AccessRestricted access (UMinho)
Appears in Collections:C-TAC - Artigos em Revistas Internacionais
DMA - Artigos (Papers)

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