A broken line process is presented as a potential hydrologic simulation model. The process is composed of the sum across a series of broken lines. By proper choice of the number of broken lines considered and of their parameters, various statistical characteristics may be modeled. These include an arbitrary monotonic correlation structure and memory. In addition, the second derivative of the correlation function at the origin may be preserved. This preservation of the second derivative is an important property in crossing theory. Copyright 1972 by the American Geophysical Union.