Abstract: A new stochastic point rainfall model which considers the correlation structure between rain cell intensity and duration is developed. In order to consider the positive and negative correlations simultaneously, the Gumbel’s ...

Abstract: The fractional advection–dispersion equation (ADE) is a generalization of the classical ADE in which the second-order derivative is replaced with a fractional-order derivative. While the fractional ADE is analyzed as a ...

Abstract: A new stochastic model for one-dimensional unsaturated water flow is proposed with focus on its probabilistic structure resulting from random variations in saturated hydraulic conductivity. The newly developed model has ...

Abstract: In this study, a new stochastic model for the propagation analysis of fluctuations in rainfall to soil water dynamics is proposed. Based on a lumped conceptualization of soil water dynamics with rainfall forcings, which ...

Abstract: A new stochastic model for one-dimensional root-water uptake is developed with main emphasis on its probabilistic structure from random variations in saturated hydraulic conductivity. The resulting model has the form of a ...