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The most general single species autonomous reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced. The stationary solutions of such models, as well as their dynamics, are discussed. To study dynamics of…

数学物理 · 物理学 2014-07-22 Mohammad Khorrami , Amir Aghamohammadi

The paper studies a PDE model for the growth of a tree stem or a vine, having the form of a differential inclusion with state constraints. The equations describe the elongation due to cell growth, and the response to gravity and to external…

最优化与控制 · 数学 2017-04-13 Bressan Alberto , Palladino Michele

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

凝聚态物理 · 物理学 2009-10-22 J-P. Bouchaud , D. S. Dean

Functional-structural models provide detailed representations of tree growth and their application to forestry seems full of prospects. However, owing to the complexity of tree architecture, parametric identification of such models remains…

The diameter distribution of a given species of deciduous trees in mature, temperate zone forests is well approximated by a Gamma distribution. Here we give new experimental evidence for this conjecture by analyzing deciduous tree size data…

种群与进化 · 定量生物学 2023-10-17 Szabolcs Kelemen , Máté Józsa , Tibor Hartel , György Csóka , Zoltán Néda

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

机器学习 · 计算机科学 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations.…

斑图形成与孤子 · 物理学 2023-08-28 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

组织与器官 · 定量生物学 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane

Tree ensemble models such as random forests and boosted trees are among the most widely used and practically successful predictive models in applied machine learning and business analytics. Although such models have been used to make…

最优化与控制 · 数学 2019-10-11 Velibor V. Mišić

We study a size-structured model proposed in [1] C. Barril, \`A. Calsina, O. Diekmann, J. Z. Farkas, On competition through growth reduction, e-print arXiv:2303.02981, to describe the dynamics of trees growth in the forest. Our approach to…

动力系统 · 数学 2024-01-19 Franco Herrera , Sergei Trofimchuk

Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

种群与进化 · 定量生物学 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

Following Poupard's study of strictly ordered binary trees with respect to two parameters, namely, "end of minimal chain" and "parent of maximum leaf" a true Tree Calculus is being developed to solve a partial difference equation system and…

组合数学 · 数学 2013-04-10 Dominique Foata , Guo-Niu Han

This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic programming techniques and, due to the natural payoff…

最优化与控制 · 数学 2016-08-02 Richard H. Stockbridge , Chao Zhu

A common objective in the analysis of tabular data is estimating the conditional distribution (in contrast to only producing predictions) of a set of "outcome" variables given a set of "covariates", which is sometimes referred to as the…

机器学习 · 统计学 2024-10-08 Zhuoqun Wang , Naoki Awaya , Li Ma

Understanding the evolution of binary traits, which affects the birth and survival of species and also the rate of molecular evolution, remains challenging. A typical example is the evolution of mating systems in plant species. In this…

种群与进化 · 定量生物学 2017-04-04 Daniah Tahir , Sylvain Glémin , Martin Lascoux , Ingemar Kaj

We present convincing empirical evidence for an effective and general strategy for building accurate small models. Such models are attractive for interpretability and also find use in resource-constrained environments. The strategy is to…

机器学习 · 计算机科学 2024-04-30 Abhishek Ghose

In this article we investigate the semiflow properties of a class of state-dependent delay differential equations which is motivated by some models describing the dynamics of the number of adult trees in forests. We investigate the…

动力系统 · 数学 2017-05-25 Pierre Magal , Zhengyang Zhang

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

统计方法学 · 统计学 2018-01-09 Torsten Hothorn , Achim Zeileis

Ecological communities exhibit pervasive patterns and inter-relationships between size, abundance, and the availability of resources. We use scaling ideas to develop a unified, model-independent framework for understanding the distribution…

统计力学 · 物理学 2015-05-18 Filippo Simini , Tommaso Anfodillo , Marco Carrer , Jayanth R. Banavar , Amos Maritan

Model trees provide an appealing way to perform interpretable machine learning for both classification and regression problems. In contrast to ``classic'' decision trees with constant values in their leaves, model trees can use linear…

机器学习 · 计算机科学 2026-03-11 Sabino Francesco Roselli , Eibe Frank