Model:1D Hillslope MCMC


1D Hillslope MCMC


Also known as
Model type Tool
Model part of larger framework
Note on status model
Date note status model
Incorporated models or components:
Spatial dimensions 1D
Spatial extent Reach-Scale
Model domain Terrestrial
One-line model description Monte Carlo chain of 1D non-linear diffusion hillslope model to find most likely boundary conditions
Extended model description The model evolves a 1D hillslope according to a non-linear diffusion rule (e.g. Roering et al. 1999) for varying boundary conditions idealised as a gaussian pulse of baselevel fall through time. A Markov Chain Monte Carlo inversion finds the most likely boundary condition parameters when compared to a time series of field data on hillslope morphology from the Dragon's Back Pressure Ridge, Carrizo Plain, CA, USA; see Hilley and Arrowsmith, 2008.

landscape evolution, Hillslope Model,

Name Martin Hurst
Type of contact Project manager
Institute / Organization British Geological Survevy
Postal address 1 Nicker Hill
Postal address 2 Keyworth
Town / City Nottingham
Postal code NG12 6DA
Country United Kingdom
Email address
Phone +44 1159 363103

Supported platforms
Unix, Linux, Mac OS, Windows
Other platform
Programming language


Other program language
Code optimized Single Processor
Multiple processors implemented
Nr of distributed processors
Nr of shared processors
Start year development 2012
Does model development still take place? No
If above answer is no, provide end year model development 2012
Code development status As is, no updates are provided
When did you indicate the 'code development status'? 2020
Model availability As code
Source code availability
(Or provide future intension)
Through CSDMS repository
Source web address
Source csdms web address
Program license type GPL v3
Program license type other
Memory requirements
Typical run time Days

Describe input parameters Number of iterations (or links in the chain)

Initial parameters from which to start the Markov Chain Monte Carlo simulations Hillslope morphology measured from topograph for comparison (in dimensionless E* R* format; see Roering et al. 2007 or Hurst et al. 2012).

Input format ASCII
Other input format command line arguments
Describe output parameters Parameters used for simulations by the MCMC algorithm and their likelihood compared to the field data.
Output format ASCII
Other output format
Pre-processing software needed? No
Describe pre-processing software
Post-processing software needed? No
Describe post-processing software
Visualization software needed? No
If above answer is yes
Other visualization software

Describe processes represented by the model [[Describe processes::Hillslope sediment transport is represented by a slope dependent nonlinear diffusion rule [e.g. Roering et al. 1999] in which sediment transport is assumed to be disturbance driven and tends to infinite as slopes approach some critical gradient. Uplift is idealised as a gaussian pulse, with duration, timing and magnitude treated as variable parameters in the Monte Carlo inversion.]]
Describe key physical parameters and equations [[Describe key physical parameters::Hillslope diffusivity is assumed to be 0.0086 m^2 a^-1 following Arrowsmith et al [1998].]]
Describe length scale and resolution constraints Model uses a fixed hillslope length of 30 m constrained from topographic measurements.
Describe time scale and resolution constraints
Describe any numerical limitations and issues

Describe available calibration data sets
Upload calibration data sets if available:
Describe available test data sets Hillslope morphology data from the Dragon's Back Pressure Ridge is included in packaged code.
Upload test data sets if available:
Describe ideal data for testing

Do you have current or future plans for collaborating with other researchers? No
Is there a manual available? No
Upload manual if available:
Model website if any
Model forum / discussion board

This part will be filled out by CSDMS staff

OpenMI compliant No but possible
BMI compliant No but possible
WMT component No but possible
PyMT component
Is this a data component
Can be coupled with:
Model info
Nr. of publications: 4
Total citations: 276
h-index: 3
m-quotient: 0.25
Qrcode 1D Hillslope MCMC.png
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Nr. of publications: 4
Total citations: 276
h-index: 3
m-quotient: 0.25

Featured publication(s)YearModel describedType of ReferenceCitations
Hurst, M.D. 2013. Hillslope morphology as an indicator of landscape evolution in tectonically active landscapes. , ,
(View/edit entry)
2013 1D Hillslope MCMC

Model overview

Hurst, Martin D.; Mudd, Simon M.; Walcott, Rachel; Attal, Mikael; Yoo, Kyungsoo; 2012. Using hilltop curvature to derive the spatial distribution of erosion rates: HILLTOP CURVATURE PREDICTS EROSION RATES. Journal of Geophysical Research: Earth Surface, 117, n/a–n/a. 10.1029/2011JF002057
(View/edit entry)
2012 1D Hillslope MCMC
Model application 153
Hurst, Martin D.; Mudd, Simon M.; Yoo, Kyungsoo; Attal, Mikael; Walcott, Rachel; 2013. Influence of lithology on hillslope morphology and response to tectonic forcing in the northern Sierra Nevada of California: LITHOLOGIC CONTROL ON HILLSLOPE RESPONSE. Journal of Geophysical Research: Earth Surface, 118, 832–851. 10.1002/jgrf.20049
(View/edit entry)
2013 1D Hillslope MCMC
Hilltop and hillslope morphology extraction
Model application 63
See more publications of 1D Hillslope MCMC



Input Files

Output Files