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A bimodal four‐parameter lognormal linear model of soil water repellency persistence
Authors:C. M. Regalado  A. Ritter
Affiliation:Instituto Canario de Investigaciones Agrarias (ICIA), Dep. Suelos y Riegos, Apdo. 60 La Laguna, 38200 Tenerife, Spain
Abstract:Soil water repellency may be characterized in terms of the delayed infiltration time of a water droplet resting on the soil surface, which is, water drop penetration time (WDPT), or repellency persistence. Such repellency persistence varies nonlinearly with soil water content (θg), although no models have been proposed to reproduce the variation of WDPT with θg in soils. Dynamic factor analysis (DFA) is used to identify two common patterns of unexplained variability in a scattered dataset of WDPT versus θg measurements. A four‐parameter lognormal distribution was fitted to both common patterns obtained by DFA, and these were combined additively in a weighted multiple linear bimodal model. We show how such an empirical model is capable of reproducing a large variety of WDPT versus θg curve shapes (N = 80) both within a wide range of measured WDPTs (0–17 000 s) and for samples with organic matter content ranging from 21·7 to 80·6 g (100 g)?1. Copyright © 2009 John Wiley & Sons, Ltd.
Keywords:dynamic factor analysis  hydrophobicity  WDPT test  lognormal distribution  three‐parameter lognormal  Perls–  Verhulst equation  repellency persistence  soil water content  water repellency model
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