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Concerns about biodiversity and the long-term stability of forest ecosystems have lead to changing attitudes with respect to plantations. These artificial communities are ubiquitous, yet provide reduced habitat value in comparison to their…

Populations and Evolution · Quantitative Biology 2009-10-05 Tom Adams , Graeme Ackland , Glenn Marion , Colin Edwards

In this article we consider a class of state-dependent delay differential equations which is modelling the dynamics of the number of adult trees in forests. We prove the boundedness of solutions for a single species model as well as a…

Analysis of PDEs · Mathematics 2017-05-25 Pierre Magal , Zhengyang Zhang

A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on tree like networks, and the network transports the very resource it needs to build itself. Some…

Adaptation and Self-Organizing Systems · Physics 2019-07-24 Olivier Bui , Xavier Leoncini

We present and analyze a model aiming at recovering as dynamical outcomes of tree-grass interactions the wide range of vegetation physiognomies observable in the savanna biome along rainfall gradients at regional/continental scales. The…

Populations and Evolution · Quantitative Biology 2020-05-13 Ivric Valaire Yatat Djeumen , Yves Dumont , Anna Doizy , P. Couteron

A shift from even-aged forest management to uneven-aged management practices leads to a problem rather different from the existing straightforward practice that follows a rotation cycle of artificial regeneration, thinning of inferior trees…

Optimization and Control · Mathematics 2016-08-19 Ankur Sinha , Janne Rämö , Pekka Malo , Markku Kallio , Olli Tahvonen

We propose a procedure to build a decision tree which approximates the performance of complex machine learning models. This single approximation tree can be used to interpret and simplify the predicting pattern of random forests (RFs) and…

Methodology · Statistics 2016-10-31 Yichen Zhou , Giles Hooker

Forest transitions, characterized by dynamic shifts between forest, agricultural, and abandoned lands, are complex phenomena. This study developed a stochastic differential equation model to capture the intricate dynamics of these…

Machine Learning · Statistics 2025-07-30 Satoshi Kumabe , Tianyu Song , Ton Viet Ta

This paper introduces a new combinatorial framework for modeling the growth of binary trees through a discrete evolution process that incorporates a growing rule and an extinction rule. Building upon the theory of increasingly labeled…

Combinatorics · Mathematics 2026-03-30 Olivier Bodini , Antoine Genitrini , Khaydar Nurligareev

The adoption of agroecological practices will be crucial to address the challenges of climate change and biodiversity loss. Such practices favor the cultivation of plants in complex mixtures with layouts differing from the monoculture…

Populations and Evolution · Quantitative Biology 2024-09-26 Julian Talbot , Pascal Viot , David Colliaux

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonnegative solutions. Second, we investigate asymptotic behavior of solutions by giving a sufficient…

Probability · Mathematics 2016-11-15 Ton Viet Ta , Linh Thi Hoai Nguyen , Atsushi Yagi

We introduce a mathematical model of savanna vegetation dynamics. The usual approach of nonequilibrium ecology is extended by including the impact of wet and dry seasons. We present and rigorously analyze a model describing a mixed…

Probability · Mathematics 2023-11-28 Paweł Klimasara , Marta Tyran-Kamińska

The hierarchical system of forest ecosystem models based on the theory of individual-based (structured) models of populations and communities is briefly described. New self-thinning models are integrated with tree stand models within a…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev

In the face of uncertain biological response to climate change and the many critiques concerning model complexity it is increasingly important to develop predictive mechanistic frameworks that capture the dominant features of ecological…

Populations and Evolution · Quantitative Biology 2015-06-05 Christopher P. Kempes , Sungho Choi , William Dooris , Geoffrey B. West

Most conspicuous organisms are multicellular and most multicellular organisms develop somatic cells to perform specific, non-reproductive tasks. The ubiquity of this division of labor suggests that it is highly advantageous. In this paper,…

Populations and Evolution · Quantitative Biology 2008-01-18 Martin Willensdorfer

An evolutionary tree is a cascade of bifurcations starting from a single common root, generating a growing set of daughter species as time goes by. Species here is a general denomination for biological species, spoken languages or any other…

Quantitative Methods · Quantitative Biology 2013-08-26 Paulo Murilo Castro de Oliveira

Calibration of the self-thinning frontier in even-aged monocultures is hampered by scarce data and by subjective decisions about the proximity of data to the frontier. We present a simple model that applies to observations of the full…

Quantitative Methods · Quantitative Biology 2009-11-17 Jerome K. Vanclay , Peter J. Sands

To model discriminative, i.e. competition induced, self-thinning in even-aged forest stands a concept has been explored that discriminative mortality alters spatial arrangement of trees which in turn alters the mortality. Function of…

Populations and Evolution · Quantitative Biology 2016-09-30 Vladimir L. Gavrikov , Rem G. Khlebopros

Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, while the metabolic scaling…

Populations and Evolution · Quantitative Biology 2012-12-04 Tommaso Anfodillo , Marco Carrer , Filippo Simini , Ionel Popa , Jayanth R. Banavar , Amos Maritan
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