Copulas and their Applications in Water Resources Engineering

Lan Zhang currently works as a post-doc research scholar in the Department of Agricultural and Biological Engineering at Texas A & M University. She received her B.S. in Mechanical Engineering, M.S. in Water Resources Sciences, and Ph.D. in Civil and Environmental Engineering. She has written more than forty publications in the areas of hydrology, copulas, water quality, entropy, and water resources. She has been working on copulas and their application in hydrology and water resource engineering for more than ten years. V. P. Singh is Distinguished Professor, Regents Professor, and Caroline and William N. Lehrer Distinguished Chair in Water Engineering at Texas A & M University. Singh has published extensively in the areas of hydrology, groundwater, hydraulics, irrigation, pollutant transport, copulas, entropy, climate change, and water resources. He has received more than 90 national and international awards, including the Arid Lands Hydraulic Engineering Award, Ven Te Chow Award, Richard R. Torrens Award, Norman Medal, and EWRI Lifetime Achievement Award, given by the American Society of Civil Engineers; the Ray K. Linsley Award and Founder's Award, given by the American Institute of Hydrology; the Crystal Drop Award and Ven Te Chow Memorial Award, given by the International Water Resources Association; the Merriam Improved Irrigation Award given by the US Committee on Irrigation and Drainage; the Hancor Soil and Water Engineering Award given by the American Society of Agricultural and Biological Engineers; and three honorary doctorates. He is a Distinguished Member of ASCE, and a fellow of EWRI, AWRA, IWRS, ISAE, IASWC and IE, as well as a member of 10 international science and engineering academies. He has also served as President of the AIH.

1. Introduction; 2. Preliminaries; 3. Copulas and their properties; 4. Symmetric Archimedean copulas; 5. Asymmetric copulas: high dimension; 6. Plackett copula; 7. Non-Archimedean copulas: meta-elliptical copulas; 8. Entropic copulas; 9. Copulas in time series analysis; 10. Rainfall frequency analysis; 11. Flood frequency analysis; 12. Water quality analysis; 13. Drought analysis; 14. Compound extremes; 15. Network design; 16. Suspended sediment yield analysis; 17. Inter-basin transfer; Index.