Next Article in Journal
Comparison of Potential Risk on Two Managed Aquifer Recharge Sites from River Basin
Previous Article in Journal
Phosphate Removal from Agricultural Tile Drainage with Iron Enhanced Sand
Article Menu
Issue 9 (September) cover image

Export Article

Open AccessArticle
Water 2017, 9(9), 673;

Bivariate Return Period for Design Hyetograph and Relationship with T-Year Design Flood Peak

Department of Informatics, Modelling, Electronics and System Engineering, University of Calabria, Arcavacata di Rende (CS) 87036, Italy
Author to whom correspondence should be addressed.
Received: 13 July 2017 / Revised: 18 August 2017 / Accepted: 31 August 2017 / Published: 6 September 2017
Full-Text   |   PDF [3084 KB, uploaded 7 September 2017]   |  


This study focuses on the return period evaluation for design hyetographs, which is usually estimated by adopting a univariate statistical approach. Joint Return Period (JRP) and copula-based multivariate analysis are used in this work to better define T-year synthetic rainfall patterns which can be used as input for design flood peak estimation by means of hydrological simulation involving rainfall-runoff (RR) models. Specifically, a T-year Design Hyetograph (DH) is assumed to be characterized by its peak H, at the chosen time resolution Δt, and by the total rainfall height W, cumulated on its critical duration dCri, which has been a priori fixed. As stated in technical literature, the choice of the expression for JRP depends on which event is deemed as critical for the investigated system; the most important cases are: (i) all the variables must exceed a certain magnitude to achieve critical conditions; or (ii) at least one variable must be greater than a threshold; or (iii) critical conditions are induced by all the events with a joint Cumulative Density Function (CDF) overcoming an assigned probability threshold. Once the expression for JRP was chosen, the relationship among multivariate T-year design hyetographs and T-year design flood peak was investigated for a basin located in Calabria region (southern Italy). Specifically, for the selected case study, a summary diagram was obtained as final result, which allows the main characteristics of T-year DHs to be estimated, considering both the univariate and the copula based multivariate analysis, and the associated T-year design flood peaks obtained through the simulation with a RR model. View Full-Text
Keywords: design hyetograph estimation; multivariate return period; copula function design hyetograph estimation; multivariate return period; copula function

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

De Luca, D.L.; Biondi, D. Bivariate Return Period for Design Hyetograph and Relationship with T-Year Design Flood Peak. Water 2017, 9, 673.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Water EISSN 2073-4441 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top