Journal
GEOPHYSICAL RESEARCH LETTERS
Volume 41, Issue 5, Pages 1553-1559Publisher
AMER GEOPHYSICAL UNION
DOI: 10.1002/2013GL059114
Keywords
scaling law; lidar; topographic depressions; geometric attributes
Categories
Funding
- NSF RAPID [EAR 11-40198]
- NSF [CBET 12-09402, EAR 13-31906, 0930731, 0930643]
- University of Illinois Research Board [11131]
- Department of Civil and Environmental Engineering
- Computational Science and Engineering Program at University of Illinois
- Directorate For Engineering
- Div Of Chem, Bioeng, Env, & Transp Sys [1209427] Funding Source: National Science Foundation
- Directorate For Geosciences
- Division Of Earth Sciences [0930643, 0930731] Funding Source: National Science Foundation
- Division Of Earth Sciences
- Directorate For Geosciences [1331906] Funding Source: National Science Foundation
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Topographic depressions, areas of no lateral surface flow, are ubiquitous characteristics of the land surface that control many ecosystem and biogeochemical processes. High density of depressions increases the surface storage capacity, whereas lower depression density increases runoff, thus influencing soil moisture states, hydrologic connectivity, and the climate-soil-vegetation interactions. With the widespread availability of high-resolution lidar-based digital elevation model (lDEM) data, it is now possible to identify and characterize the structure of the spatial distribution of topographic depressions for incorporation in ecohydrologic and biogeochemical studies. Here we use lDEM data to document the prevalence and patterns of topographic depressions across five different landscapes in the United States and quantitatively characterize the probability distribution of attributes, such as surface area, storage volume, and the distance to the nearest neighbor. Through the use of a depression identification algorithm, we show that these probability distributions of attributes follow scaling laws indicative of a structure in which a large fraction of land surface areas can consist of high number of topographic depressions of all sizes and can account for 4 to 21 mm of depression storage. This implies that the impacts of small-scale topographic depressions in the landscapes on the redistribution of material fluxes, evaporation, and hydrologic connectivity are quite significant. Key Points Geometric attributes of topographic depressions follow power law distributions Scaling laws have implications for the transport of water and material fluxes Short distance among depressions can affect hydrologic connectivity
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