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Catchments with seasonally different storage dynamics and stream hydrographs have received little specific attention from rainfall-runoff modellers. This has resulted in a lower appreciation of the capabilities of conceptual rainfall-runoff models in such catchments than in catchments where the storage dynamics are more uniform and more linearly related to rainfall. In this paper, a conceptual or lumped parameter rainfall-runoff model is used successfully to analyse daily rainfall, temperature, and streamflow time series from an Australian benchmark catchment. The catchment has seasonally different storage dynamics, caused by evapotranspiration losses in summer being much higher than in winter. The catchment behaves more like a semi-arid zone than a temperate zone catchment in summer. This additional nonlinearity of response is characterised quite well by the introduction of only one extra parameter in the model’s loss component previously used for temperate humid catchments.