RETMCL: incorporating maximum-likelihood estimation principles in the RETC soil hydraulic parameter estimation code

RETC is a public domain computer code for estimating parameters of the water retention curve and hydraulic conductivity functions of unsaturated soils. RETC was developed at the US Salinity Laboratory and is now used world-wide with thousands of copies distributed. Evaluation of the final estimation results in the code has been improved to yield a new version, RETCML, based on the maximum-likelihood theory for the special case of weighted least-squares estimators. This paper first explains the theory of maximum-likelihood and introduces the principles of model adequacy and parameter uncertainty on a formal basis. Next, this paper presents a user guide for the code. RETCML is also free and has been programmed to be almost fully compatible with the original RETC input files, thus making it easy to re-analyze previous data. The output of RETCML includes a thorough evaluation of estimation results. # 2000 Elsevier Science Ltd. All rights reserved.

[1]  James V. Beck,et al.  Parameter Estimation in Engineering and Science , 1977 .

[2]  Jack C. Parker,et al.  ONESTEP : a nonlinear parameter estimation program for evaluating soil hydraulic properties from one-step outflow experiments , 1985 .

[3]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[4]  William H. Press,et al.  Numerical Recipes in C, 2nd Edition , 1992 .

[5]  Fred C. Schweppe,et al.  Uncertain dynamic systems , 1973 .

[6]  Karl-Josef Hollenbeck,et al.  Maximum-likelihood estimation of unsaturated hydraulic parameters , 1998 .

[7]  R. Hills,et al.  Parameter estimation of hydraulic properties from one‐step outflow data , 1992 .

[8]  R. Genuchten CALCULATING TEE UNSATURATED HYDRAULIC CONDUCTIVITY WITH A NEW CLOSED-FORM ANALYTICAL MODEL , 1978 .

[9]  Y. Mualem A New Model for Predicting the Hydraulic Conductivity , 1976 .

[10]  N. T. Burdine Relative Permeability Calculations From Pore Size Distribution Data , 1953 .

[11]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[12]  T. Brubaker,et al.  Nonlinear Parameter Estimation , 1979 .

[13]  Yonathan Bard,et al.  Nonlinear parameter estimation , 1974 .

[14]  M. Th. van Genuchten,et al.  Parameter estimation for unsaturated flow and transport models — A review , 1987 .

[15]  William H. Press,et al.  Numerical recipes in C , 2002 .

[16]  Peter Droogers,et al.  Inverse method to determine soil hydraulic functions from multistep outflow experiments. , 1994 .

[17]  Feike J. Leij,et al.  The RETC code for quantifying the hydraulic functions of unsaturated soils , 1992 .

[18]  Van Genuchten,et al.  Non-equilibrium transport parameters from miscible displacement experiments , 1981 .