Haar wavelet in estimating depth profile of soil temperature

A Haar wavelet based method for the estimation of soil temperature at different depths is described in this paper. Diurnal variation in the hourly soil temperature is estimated at different depths varying from 0 to 45 cm. This estimation is compared with observed data available for Trombay site at the depths 5, 10, and 20 cm. This Haar technique can be interpreted from incremental and multi-resolution viewpoint. The estimated values show and excellent agreement with the observed values. The Haar based estimated values are found to be more accurate than the values obtained by FDM approach. More accurate solutions can be obtained by changing the time scale in Haar wavelet; at the same time main features of the solution are preserved. Sensitivity analyses indicate that soil temperature was no so sensitive to changes of soil thermal parameters. Moreover the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, small computation costs and computationally attractive.