Correlated diffusive processes have been previously considered in a hydrological context when examining the Hurst effect, which leads to persistence in hydrologic time-series.
Systems with no memory have a value for the Hurst exponent H of 0.5. However, as noted by Klemes , typical values for hydrologic time-series appear to be H» 0.7, implying a fractal structure to the data, memory or a steadily changing mean.
Kirkby (1987) discussed the implications of this for the extrapolation of process rates – ‘tricky’.
M.J. 1987. The Hurst effect and its implications for extrapolating process
rates. Earth Surface Processes and Landforms 12, 57-67.