Multivariate Statistical Analysis of Indiana Hydrologic Data

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Data Sources & Study Area • Precipitation – NCDC hourly precipitation dataset • 53 stations with record length greater than 50 years – NCDC daily precipitation dataset • 73 stations with record length greater than 80 years • Streamflow – USGS unregulated daily mean flow • 36 stations with record length greater than 50 years
Topic 1 Probabilistic Structure of Surface Runoff (I) • Classical problem in derived flood frequency analysis – For regular rainfall events, duration (D) and average intensity (I) are assumed to be exponentially distributed – Eagleson (1972) assumed independence between D & I – Córdova and Rodríguez-Iturbe (1985) assumed positive dependence between D & I – Copulas are found to be a more mathematical efficient approach in solving probabilistic feature of rainfall excess (Pe)
Page 1 and 2: Multivariate Statistical Analysis o
Page 3 and 4: Outline • Background and motivati
Page 5 and 6: Bivariate Distribution Example Marg
Page 7: Use of Copulas in Hydrology • Sin
Page 11 and 12: Topic 2 Extreme Rainfall Frequency
Page 13 and 14: Estimate of peak intensity for know
Page 15 and 16: Temporal Accumulation Curves • Gi
Page 17 and 18: US Drought Monitor • Overall drou
Page 19 and 20: Modified SI • Limitations of the
Page 21 and 22: Higher Dimensional Copulas • Limi
Page 23 and 24: Joint Deficit Index (II)
Page 25 and 26: Precipitation vs. Streamflow r = 0.
Page 27 and 28: Conclusions for Drought Frequency A
Page 29 and 30: Acknowledgements • Deepest gratit

Multivariate Statistical Analysis of Indiana Hydrologic Data

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