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Updated: Jun 2, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Disentangling the formation of contrasting tree-line physiognomies combining model selection and Bayesian
Isabel Martínez1, Thorsten Wiegand, J Julio Camarero
1UFZ Helmholtz Centre for Environmental Research-UFZ, Department of Ecological Modeling, Leipzig, Germany. isabel.martinez@ufz.de
Alpine tree lines form due to nonlinear growth and mortality responses to altitude. These nonlinearities, not dispersal or facilitation, dictate tree line shape and krummholz presence, impacting climate change adaptation.
Area of Science:
- Ecology
- Computational Ecology
- Biogeography
Background:
- Alpine tree-line ecotones exhibit significant spatial variation and diverse physiognomies.
- Understanding the minimal processes driving tree-line formation is crucial for predicting ecosystem responses.
Purpose of the Study:
- To identify the essential ecological processes required for the formation of alpine tree lines.
- To test a set of individual-based models against empirical data from Pinus uncinata ecotones.
Main Methods:
- Utilized a Bayesian approach with Markov chain Monte Carlo (MCMC) methods for parameter estimation.
- Employed model selection procedures to determine the minimal subset of processes explaining tree-line formation.
- Compared model outputs with data from four contrasting Pinus uncinata ecotones in the Spanish Pyrenees.
Main Results:
- Tree-line formation was primarily explained by nonlinear individual growth and mortality responses to the altitudinal gradient.
- Variations in tree-line physiognomy (e.g., diffuse vs. abrupt, krummholz presence) were driven by the relative importance of these nonlinear responses.
- Dispersal limitation and facilitation played secondary roles in shaping tree-line ecotones.
Conclusions:
- Nonlinear responses of individual organisms are key drivers of alpine tree-line ecotone structure.
- The findings provide insights into differential responses of tree line types to climate change.
- The presented methodological approach enhances transparency and efficiency in evaluating individual-based models.
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