Transfer function model of the rainfall-runoff relationship of a drained catchment

Abstract

Transfer function model of the rainfall and runoff relationship with various complexities was developed to investigate the hydrological dynamics of a catchment that undergoes continual drainage process. The structure of the impulse response weight of the dynamic components of the models provides some physical meaning of the responses between the hydrological variables investigated. The study revealed that non-linear transfer function models of order one and noise term of ARIMA (1,0,0) best represents the monthly rainfall-runoff relationships of a drained catchment. The best- fitted transfer function model is capable of illustrating the cumulative hydrological effect of a catchment when subjected to reclamation and drainage