Irvine, Calif., Oct. 18, 2017 â River deltas, with their intricate networks of waterways, coastal barrier islands, wetlands and estuaries, often appear to have been formed by random processes, but scientists at the University of California, Irvine and other institutions see order in the apparent chaos.
Through field studies and mathematical modeling, they have concluded that deltas âself-organizeâ to increase the number, direction and size â or diversity â of sediment transport pathways to the shoreline, boosting their ability to withstand human disturbances and naturally occurring factors. The research teamâs findings have been published in Proceedings of the National Academy of Sciences.
âWith their entangled channels that split and rejoin multiple times before entering the sea, deltas are amazingly complex and varied, leading us to wonder if theyâre hiding some simpler order,â said lead author Alejandro Tejedor, research associate in UCIâs Department of Civil & Environmental Engineering.Â âCould there be some common âgoalâ on the part of deltas to sustain their existence by diversifying the spread of their fluxes to build land on their way to the ocean?â
The researchers sought to solve this riddle by applying statistics and mathematical modeling. Looking at 10 major river deltas around the world, they determined the probability of flows dividing into smaller channels and merging again at confluences, discovering that all but one, the Niger Delta in Africa, exhibited a high ânonlocal entropy rate,â meaning a large diversity of delivery pathways to the sea.
The team confirmed these findings through numerical models, demonstrating that even when major channel avulsions take place â leading to network reorganization â flows tend to re-create diverse water routes.
âBy adopting concepts from information theory, we showed that a range of deltas from different environments obey an âoptimality principleâ that suggests a universality across almost every natural occurrence of these landforms,â Tejedor said.
Many of the worldâs deltas have come under threat in recent decades from rising sea levels, local development and the construction of upstream dams that limit the flow of sediment.
âRiver deltas occupy only 1 percent of the worldâs land surface but are home to more than half a billion people and are the source of vast amounts of food and other natural resources,â said Efi Foufoula-Georgiou, Distinguished Professor of civil & environmental engineering at UCI, who directed and co-authored the PNAS study. âSo itâs imperative that we establish a better understanding of these vital earthscapes and how human and climate stressors might adversely impact their self-maintenance.â
Foufoula-Georgiouâs research group has been studying the mathematics of deltas for the past several years. Some of the work has been done in collaboration with Tryphon Georgiou, UCI professor of mechanical & aerospace engineering, an expert in information theory who is also a co-author on the PNAS paper.
This project, which was funded by the National Science Foundation, included scientists from Indiana University Bloomington; the University of Nevada, Reno; the Swiss Federal Institute of Technology in Lausanne; and Italyâs University of Padua.
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