Articles | Volume 9, issue 1
Earth Surf. Dynam., 9, 105–121, 2021
Earth Surf. Dynam., 9, 105–121, 2021

Research article 02 Mar 2021

Research article | 02 Mar 2021

Computing water flow through complex landscapes – Part 3: Fill–Spill–Merge: flow routing in depression hierarchies

Richard Barnes et al.

Related authors

Computing water flow through complex landscapes – Part 2: Finding hierarchies in depressions and morphological segmentations
Richard Barnes, Kerry L. Callaghan, and Andrew D. Wickert
Earth Surf. Dynam., 8, 431–445,,, 2020
Short summary

Related subject area

Cross-cutting themes: Quantitative and statistical methods in Earth surface dynamics
Particle size dynamics in abrading pebble populations
András A. Sipos, Gábor Domokos, and János Török
Earth Surf. Dynam., 9, 235–251,,, 2021
Short summary
A photogrammetry-based approach for soil bulk density measurements with an emphasis on applications to cosmogenic nuclide analysis
Joel Mohren, Steven A. Binnie, Gregor M. Rink, Katharina Knödgen, Carlos Miranda, Nora Tilly, and Tibor J. Dunai
Earth Surf. Dynam., 8, 995–1020,,, 2020
Short summary
Automated quantification of floating wood pieces in rivers from video monitoring: a new software tool and validation
Hossein Ghaffarian, Pierre Lemaire, Zhang Zhi, Laure Tougne, Bruce MacVicar, and Hervé Piégay
Earth Surf. Dynam. Discuss.,,, 2020
Revised manuscript accepted for ESurf
Short summary
Dominant process zones in a mixed fluvial–tidal delta are morphologically distinct
Mariela Perignon, Jordan Adams, Irina Overeem, and Paola Passalacqua
Earth Surf. Dynam., 8, 809–824,,, 2020
Short summary
Identifying sediment transport mechanisms from grain size–shape distributions, applied to aeolian sediments
Johannes Albert van Hateren, Unze van Buuren, Sebastiaan Martinus Arens, Ronald Theodorus van Balen, and Maarten Arnoud Prins
Earth Surf. Dynam., 8, 527–553,,, 2020
Short summary

Cited articles

Agenis-Nevers, M., Bokde, N. D., Yaseen, Z. M., and Shende, M.: GuessCompx: An empirical complexity estimation in R, arXiv [preprint], arXiv:1911.01420v1, 2019. a
Arnold, N.: A new approach for dealing with depressions in digital elevation models when calculating flow accumulation values, Prog. Phys. Geogr., 34, 781–809,, 2010. a
Barnes, R.: Parallel non-divergent flow accumulation for trillion cell digital elevation models on desktops or clusters, Environ. Modell. Softw., 92, 202–212,, 2017. a, b
Barnes, R.: r-barnes/richdem: Zenodo DOI Release, Software, Zenodo,, 2018. a
Barnes, R.: Accelerating a fluvial incision and landscape evolution model with parallelism, Geomorphology, 330, 28–39,, 2019. a, b
Short summary
Existing ways of modeling the flow of water amongst landscape depressions such as swamps and lakes take a long time to run. However, as our previous work explains, depressions can be quickly organized into a data structure – the depression hierarchy. This paper explains how the depression hierarchy can be used to quickly simulate the realistic filling of depressions including how they spill over into each other and, if they become full enough, how they merge into one another.