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Additional Information

Competing Interests

The authors declare that they have no competing interests.

Author Contributions

Massimiliano Alvioli conceived and designed the experiments, performed the experiments, analyzed the data, wrote the paper, prepared figures and/or tables, performed the computation work, reviewed drafts of the paper.

Daniele Spiga conceived and designed the experiments, performed the experiments, reviewed drafts of the paper.

Rex L Baum conceived and designed the experiments, performed the experiments, analyzed the data, performed the computation work, reviewed drafts of the paper.

Ethics

The following information was supplied relating to ethical approvals (i.e., approving body and any reference numbers):

United States Geological Survey. There is no approval number available. The Director declared the text suitable for open-access publication after a formal review of the manuscript.

Data Deposition

The following information was supplied regarding data availability:

data available at http://dx.doi.org/10.5066/F7ZW1J08

source code available at http://geomorphology.irpi.cnr.it/tools/trigrs and at http://dx.doi.org/10.5066/F73J3B27

Funding

M. Alvioli is supported by the CINECA award under the ISCRA initiative, for the availability of high performance computing resources and support. M. Alvioli is supported by the CNR for a “Short Mobility Grant”, 2014, during which part of this work was completed. M Alvioli is supported by a grant of the Regione Umbria, under contract POR-FESR Umbria 2007-2013, asse ii, attività a1, azione 5, and by a grant of the DPC. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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