Tobias Heckmann

Dr. Tobias Heckmann

orcid

Research Focus & Metrics

Academic Career Length

20Years (2007-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 January 2013 in Geomorphology
Verified
Journal Article
Closed access
THTobias Heckmann
Tobias Heckmann
WSWolfgang Schwanghart
Wolfgang Schwanghart

1 January 2021 in CATENA
Verified
Journal Article
Closed access
SNSaeed Najafi
Saeed Najafi
DDDeirdre Dragovich
Deirdre Dragovich
THTobias Heckmann
Tobias Heckmann
Seyed Hamidreza SadeghiSeyed Hamidreza Sadeghi
Seyed Hamidreza Sadeghi

17 February 2014 in Natural Hazards and Earth System Sciences
Verified
Journal Article
Open access
THTobias Heckmann
Tobias Heckmann
KGK. Gegg
K. Gegg
AGA. Gegg
A. Gegg
MBM. Becht
M. Becht
Predictive spatial modelling is an important task in natural hazard assessment and regionalisation of geomorphic processes or landforms. Logistic regression is a multivariate statistical approach frequently used in predictive modelling; it can be conducted stepwise in order to select from a number of candidate independent variables those that lead to the best model. In our case study on a debris flow susceptibility model, we investigate the sensitivity of model selection and quality to different sample sizes in light of the following problem: on the one hand, a sample has to be large enough to cover the variability of geofactors within the study area, and to yield stable and reproducible results; on the other hand, the sample must not be too large, because a large sample is likely to violate the assumption of independent observations due to spatial autocorrelation. Using stepwise model selection with 1000 random samples for a number of sample sizes between n = 50 and n = 5000, we investigate the inclusion and exclusion of geofactors and the diversity of the resulting models as a function of sample size; the multiplicity of different models is assessed using numerical indices borrowed from information theory and biodiversity research. Model diversity decreases with increasing sample size and reaches either a local minimum or a plateau; even larger sample sizes do not further reduce it, and they approach the upper limit of sample size given, in this study, by the autocorrelation range of the spatial data sets. In this way, an optimised sample size can be derived from an exploratory analysis. Model uncertainty due to sampling and model selection, and its predictive ability, are explored statistically and spatially through the example of 100 models estimated in one study area and validated in a neighbouring area: depending on the study area and on sample size, the predicted probabilities for debris flow release differed, on average, by 7 to 23 percentage points. In view of these results, we argue that researchers applying model selection should explore the behaviour of the model selection for different sample sizes, and that consensus models created from a number of random samples should be given preference over models relying on a single sample.


30 October 2015 in Earth Surface Processes and Landforms
Verified
Journal Article
Closed access
PDF file
THTobias Heckmann
Tobias Heckmann
SMSamuel McColl
Samuel McColl
DMDavid Morche
David Morche

20 October 2011 in Earth Surface Processes and Landforms
Verified
Journal Article
Closed access
PDF file
THTobias Heckmann
Tobias Heckmann
MBMartin Bimböse
Martin Bimböse
MKMichael Krautblatter
Michael Krautblatter
FHFlorian Haas
Florian Haas
MBMichael Becht
Michael Becht
DMDavid Morche
David Morche