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SOIL PHYSICS

Estimating Saturated Hydraulic Conductivity Using Genetic Programming

^a Centre for Advanced Numerical Simulation (CANSIM), Dep. of Civil and Geological Engineering, Univ. of Saskatchewan, Saskatoon, SK, S7N 5A9, Canada
^b Dep. of Soil Science, Univ. of Saskatchewan, Saskatoon, SK, S7N 5A8, Canada

^* Corresponding author (kap923{at}mail.usask.ca).

Saturated hydraulic conductivity (K_s) is one of the key parameters in modeling solute and water movement in the vadose zone. Field and laboratory measurement of K_s is time consuming, and hence is not practical for characterizing the large spatial and temporal variability of K_s. As an alternative to direct measurements, pedotransfer functions (PTFs), which estimate K_s from readily available soil data, are being widely adopted. This study explores the utility of a promising data-driven method, namely, genetic programming (GP), to develop PTFs for estimating K_s from sand, silt, and clay contents and bulk density (D_b). A data set from the Unsaturated Soil Hydraulic Database (UNSODA) was considered in this study. The performance of the GP models were compared with the neural networks (NNs) model, as it is the most widely adopted method for developing PTFs. The uncertainty of the PTFs was evaluated by combining the GP and the NN models, using the nonparametric bootstrap method. Results from the study indicate that GP appears to be a promising tool for developing PTFs for estimating K_s. The better performance of the GP model may be attributed to the ability of GP to optimize both the model structure and its parameters in unison. For the PTFs developed using GP, the uncertainty due to model structure is shown to be more than the uncertainty due to model parameters. Moreover, the results indicate that it is difficult, if not impossible, to achieve better prediction and less uncertainty simultaneously.

Abbreviations: BR, Bayesian-regularization • GP, genetic programming • MARE, mean absolute relative error • MR, mean residual • NN, neural network • PTF, pedotransfer function • UNSODA, Unsaturated Soil Hydraulic Database