Homogeneity testing: How homogeneous do heterogeneous cross-correlated regions seem? |
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| Authors: | A Castellarin DH Burn A Brath |
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| Institution: | aDISTART, School of Civil Engineering, Viale Risorgimento, 2 University of Bologna, I-40136 Bologna, Italy;bDepartment of Civil and Environmental Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada N2L 3G1 |
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| Abstract: | The homogeneity of the flood frequency regime for a given pooling-group of sites is a fundamental assumption for many regional flood frequency analysis techniques. Assessing regional homogeneity is a critical step, which may be complicated by the presence of cross-correlation among flood sequences. The scientific literature proposes a number of statistical homogeneity tests and documents that inter-site correlation of floods is normally not negligible, but does not specifically address the impact of cross-correlation on such statistical tests. This paper analyzes the effectiveness of a well-known homogeneity test proposed in the scientific literature in the presence of inter-site cross-correlation through a series of Monte Carlo experiments. The numerical experiments enable us to comment on a possible theoretical correction for the test and to identify an empirical tool that accounts for the impact of inter-site cross-correlation of floods. |
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| Keywords: | Regional flood frequency analysis Probability weighted moments (PWM) L-moments Variance of sample estimators Hosking and Wallis heterogeneity test |
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