Abstract

River networks are important landscape features that collect and transport water, sediment and nutrients from regions of higher elevation to lower elevations. These networks have been studied for several decades from a range of geomorphological and hydrological perspectives. Investigating the geometric and topological properties of river networks is important for developing predictive models describing the network dynamics under changing climate as well as for quantifying the physical processes operating upon them. Although these networks have been characterized for a wide range of geomorphic properties, topological properties, and in particular, spectral properties of river networks received limited attention. In this dissertation, we propose a framework to identify critical nodes on river networks in the context of vulnerability under external disruptions. In addition, through a graph-theoretic formulation of river network topology, we investigate the observed range of zero eigenvalues on the spectra using the notion of multiplicity, that can be related to controllability of the river network for a comprehensive understanding of the dynamics of a system under external forcing. Furthermore, we use topological and geometrical signatures of the river networks and their organizational complexity to study advection and diffusion of fluxes on the network. The findings of this research reveal great potential to understand external forcing, e.g. climatic, control on river networks' geometric and topological properties.

Notes

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Graduation Date

2021

Semester

Spring

Advisor

Singh, Arvind

Degree

Doctor of Philosophy (Ph.D.)

College

College of Engineering and Computer Science

Department

Civil, Environmental and Construction Engineering

Degree Program

Civil Engineering

Format

application/pdf

Identifier

CFE0008936; DP0026215

URL

https://purls.library.ucf.edu/go/DP0026215

Language

English

Release Date

November 2021

Length of Campus-only Access

None

Access Status

Doctoral Dissertation (Open Access)

Restricted to the UCF community until November 2021; it will then be open access.

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