Back to results

Virginia Tech

Quantifying the Size Distribution of Rivers Across Spatial Scales

Abstract

dc:description.abstract

The surfaces of rivers are hotspots for biogeochemical exchange and emit significant amounts of greenhouse gases globally. Estimates of river surface area are critical to determining fluvial greenhouse gas evasion yet are currently poorly constrained. The relative abundance of narrow rivers to wide rivers is commonly assumed to be fractal, or scale invariant. This assumption aids in statistical estimates of river surface area but has not been tested across spatial scales. We measured river size in four nested basins within the Mississippi River Basin using a combination of remote sensing and field surveying to determine the statistical size distribution of rivers from continental to headwater scales. We found that the relative abundance of narrow rivers to wide rivers consistently fits a log-normal probability density function, supporting the assumption of fractal river size. Using the fractal size distribution of rivers, we estimated a total river surface area of 17,828 ± 5,126 km2 (0.54 ± 0.16 % of land surface area) in the Mississippi River Basin which is comparable to previous studies. Our multi-scale approach revealed the fractal nature of river size and allowed for a more accurate accounting of river surface area with implications for the role of rivers in biogeochemical cycling.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Geosciences
Department dc:contributor.department
Geosciences
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
2024

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Boyd, Carter Alexander
Chair dc:contributor.committeechair
  • Allen, George Henry
Committee members dc:contributor.committeemember
  • Shao, Yang
  • Gannon, John Patrick

Subjects

dc:subject × 6

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
vt_gsexam:40471
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/119124

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Boyd, Carter Alexander. Quantifying the Size Distribution of Rivers Across Spatial Scales. masters thesis, Virginia Tech, 2024. https://hdl.handle.net/10919/119124