### Abstract

The distribution of water within a catchment is treated as a problem of statistical inference and resolved using an entropy maximization technique. A simple runoff generating mechanism is employed, which, together with the catchment mass balance equation, yields a catchment model involving just one dynamic parameter, y, and two constants, k and ?. The parameter y determines the temporal variation of catchment storage V and runoff q. The latter is nonlinearly related to V through q=k(1-?yV), where y provides the nonlinear departure from the simple linear reservoir q=kV. -Author

Original language | English |
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Pages (from-to) | 123-134 |

Number of pages | 12 |

Journal | Hydrological Sciences Journal |

Volume | 36 |

Issue number | 2 |

Publication status | Published - 1991 |

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## Cite this

Jowitt, P. W. (1991). A maximum entropy view of probability-distributed catchment models.

*Hydrological Sciences Journal*,*36*(2), 123-134.