Validation and scale dependencies of the triangle method for the evaporative fraction estimation over heterogeneous areas

Alberto de Tomás, Héctor Nieto, Radoslaw Guzinski, Javier Salas, Inge Sandholt, Pedro Berliner

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


Remote sensing has proved to be a consistent tool for monitoring water fluxes at regional scales. The triangle method, in particular, estimates the evaporative fraction (EF), defined as the ratio of latent heat flux (LE) to available energy, based on the relationship between satellite observations of land surface temperature and a vegetation index. Among other methodologies, this approach has been commonly used as an approximation to estimate LE, mainly over large semi-arid areas with uniform landscape features. In this study, an interpretation of the triangular space has been applied over a heterogeneous area in central Spain, using Landsat5-TM, Envisat-AATSR/MERIS and MSG-SEVIRI images. Some aspects affecting the model performance such as spatial resolution, terrain conditions, vegetation index applied and method for deriving the triangle edges have been assessed. The derived EF estimations have been validated against ground measurements obtained with scintillometer on a winter crop field during 2010-2011. When working with large spatial windows, removing areas with different topographic characteristics (altitude and slope) improved the performance of the methods. In addition, replacing the typically used NDVI with Leaf Area Index enhances the performance of the triangle method allowing a better characterization of the wet edge. Finally, results showed a relatively good performance for the EF estimates, with an RMSE of 0.11, 0.15 and 0.23 and R2 of 0.77, 0.41, and 0.24 for Landsat, Envisat and MSG satellites respectively, showing a scale dependency on the accuracy.

Original languageEnglish
Pages (from-to)493-511
Number of pages19
JournalRemote Sensing of Environment
StatePublished - 1 Jan 2014


  • Envisat-AATSR/MERIS
  • Evaporative fraction
  • Evapotranspiration
  • Landsat5-TM
  • Remote sensing
  • Surface layer scintillometer
  • Triangle method

ASJC Scopus subject areas

  • Soil Science
  • Geology
  • Computers in Earth Sciences


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