o:1393 Multidimensional Approaches to Calculation of Design Floods at Confluences - PROIL Model and Copulas en Abstract: In confluence areas, where river flow slowdowns can be substantial, the selection of design flows for the purpose of designing a flood control system directly depends on flood waves at the mainstem and its tributaries. The aim of this paper is twofold: to elaborate a procedure that will define the flood exceedance probability in the analyzed area within a multidimensional probability space and to develop a methodology for defining flood coincidence in the mainstem reach with its main tributaries and thus determine design flows in order to design the flood control system in the confluence area. Mathematical models are based on (1) two-dimensional probability distribution (PROIL model) and (2) the copula function (Archimedean class of copulas), and fitted to a practical application in a two-dimensional probability distribution space. In case of random variables, simultaneous quantitative characteristics of flood wave (water flow) hydrographs for the mainstem and a tributary are considered. The paper discusses the specific reach of the Danube, from the Hungarian-Serbian border to the city of Smederevo, which encompasses three significant tributaries—the Drava, the Tisa, and the Sava. Confuence, PROIL model, Archimedean copulas, Design food level, Flood control system 1552101 1420-2026 1552099 10.1007/s10666-021-09748-8 2023-03-16T08:49:35.939Z 44 no 46 Aleksandra Ilić Građevinsko-arhitektonski fakultet, Niš Stevan Prohaska Institut za vodoprivredu "Jaroslav Černi" person 0000-0002-2570-1538 Dragan Radivojević Građevinsko-arhitektonski fakultet, Niš person Slaviša Trajković Građevinsko-arhitektonski fakultet, Niš person application/pdf 1890618 https://unilib.phaidrabg.rs/o:1393 no yes 1 70 92000001 71A04 Environmental Modeling and Assessment 26 565 579 Springer 2021 Received 08 May 2020 Accepted 12 January 2021 Published 04 February 2021 Issue Date August 2021