Sky Journal of Agricultural Research Vol. 4(6), pp. 114 - 122, September, 2015
Available online http://www.skyjournals.org/SJAR
ISSN 2315-8751 ©2015 Sky Journals
Full Length Research Paper
Modeling of daily reference evapotranspiration using
climatic factors for arid regions of Algeria
Laaboudi A.
1
, Mouhouche B.
2
and Slama A.
3
1
National Institute of research in agronomy of Algeria. Experimental station of Adrar, Algeria.
2
National high school of agronomy. El Harrach, Algers, Algeria.
3
Sustainable development and informatics laboratory, University of Adrar, Algeria.
Accepted 5 August, 2015
There are different methods to predict reference evapotranspiration (ETo). In recent decades, Artificial Neural
Network (ANN) has shown very high ability to deal with non linear process. In this study, ANN models were
developed to estimate daily reference evapotranspiration in arid regions of Algeria based on explanatory
climatic factors. These factors have been used as inputs, and ETo values computed by the Penman-Monteith
formula have been used as outputs. Different combinations have been performed and different models have
been developed. The performance of the different models was evaluated by comparing the corresponding
values of determination coefficient (R²), root mean squared error (RMSE), meanabsolute error (MAE) and mean
absolute relative error (MARE). The drawn conclusions have shown that model with temperature, relative
humidity and wind speed as inputs showed high prediction accuracy confirming that the ANN models could
provide ETo estimation very close to the reality. Thus, with a network of two hidden layers and twenty (20)
neurons per layer, we obtained, during the test phase, values of 0.998, 0.482 (mm/day)², 0.096 (mm/day) and
0.034% respectively for R², RMSE, MAE, and MARE.
Key words: Reference evapotranspiration, arid regions, Penman-Monteith formula, artificial neural network models.
INTRODUCTION
Reference evapotranspiration (ETo) is an important
parameter for computing the irrigation demands of
various crops (Chowdhary and Shrivastava 2010;
Dinpashoh 2006). Current irrigation scheduling is based
on a well-established crop coefficient and on ETo
procedures to estimate daily crop evapotranspiration
(Hunsaker et al., 2007). Thus, improper ET calculation
appears to be associated with poor estimation of ETo
(Shujiang et al., 2009). Therefore, in order to estimate
ETo, much research has been carried out across the
world, and a significant number of equations have been
developed. But comparison of their results reveals a wide
divergence between them (Smadhi, 2000; Lu et al.,
2005). Food and Agriculture Organization (FAO) of the
United Nations has recommended the Penman-Monteith
method known for its prediction accuracy for varied
*Corresponding author. E-mail: Laaboudiark@yahoo.fr.
environments (Allen et al., 1998).The fundamental
obstacle to widely applying the P-M method is the
numerous input parameters that are not always available
at many locations. To overcome this obstacle, Artificial
Neural Network (ANN) model was employed to estimate
daily reference evaporation based on three explanatory
climatic factors.
The Artificial Neural Network (ANN) modeling is a
nonlinear statistical technique that can be used to solve
problems that are not amendable to conventional
statistical or mathematical methods (Eslamian et al.,
2008). The application of up-to-date ANN technology
allows modeling by black-box NN tools (Aytek et al.,
2009).Usually, ANNs are trained so that a particular set
of input produces, as closely as possible, a specific set of
target outputs (Dechemi et al., 2003). The interest of
neurons (Dreyfus et al., 2004) lies in the properties
resulting from their association in networks. The
combination of nonlinear functions performed by each
neuron and their ability to glean internal information from