Stochastic models typically assume that the saturated hydraulic conductivity K s is lognormally distributed, whereas a is normally distributed [Yeh et al., 1985a[Yeh et al., , 1985b Mantoglou and Gelhat, 1987]. However, unlike for K s, there are little data to justify a particular distribution for a. Nonetheless, White and Sully [1992] noted that since Ks and a are related to an internal length scale of the soil's pore geometry, we can expect a priori on physical grounds that they will be correlated and that a 1567