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Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

A cluster tree provides a highly-interpretable summary of a density function by representing the hierarchy of its high-density clusters. It is estimated using the empirical tree, which is the cluster tree constructed from a density…

Statistics Theory · Mathematics 2017-02-14 Jisu Kim , Yen-Chi Chen , Sivaraman Balakrishnan , Alessandro Rinaldo , Larry Wasserman

Human mobility is known to be distributed across several orders of magnitude of physical distances , which makes it generally difficult to endogenously find or define typical and meaningful scales. Relevant analyses, from movements to…

Social and Information Networks · Computer Science 2017-04-05 Telmo Menezes , Camille Roth

In abstract terms, ecosystem ecology is about determining when two ecosystems, superficially different, are alike in some deeper way. An external observer can choose any ecosystem property as being important. In contrast, two ecosystems are…

Populations and Evolution · Quantitative Biology 2017-07-12 Matthew Spencer

The large scale gravitational potential distribution and its influence on the large-scale matter clustering is considered on the basis of six simulations. It is found that the mean separation between zero levels of the potential along…

Astrophysics · Physics 2007-05-23 Soeren Madsen , Andrei G. Doroshkevich , Stefan Gottloeber , Volker Müller

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

Climate models exhibit an approximately invariant surface warming pattern in typical end-of-century projections. This observation has been used extensively in climate impact assessments for fast calculations of local temperature anomalies,…

Atmospheric and Oceanic Physics · Physics 2024-11-22 Paolo Giani , Arlene M. Fiore , Glenn Flierl , Raffaele Ferrari , Noelle E. Selin

Self-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Erwin Frey

Determining the relative importance of environmental factors, biotic interactions and stochasticity in assembling and maintaining species-rich communities remains a major challenge in ecology. In plant communities, interactions between…

Populations and Evolution · Quantitative Biology 2018-03-20 T. Rajala , S. Olhede , D. J. Murrell

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

Populations and Evolution · Quantitative Biology 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

Collective phenomena, whereby agent-agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their…

Quantitative Methods · Quantitative Biology 2016-03-21 Jonathan R. Potts , Karl Mokross , Mark A. Lewis

We analyse the statistical properties of genealogical trees in a neutral model of a closed population with sexual reproduction and non-overlapping generations. By reconstructing the genealogy of an individual from the population evolution,…

Condensed Matter · Physics 2009-10-31 Bernard Derrida , Susanna C. Manrubia , Damian H. Zanette

Forest fire spreading is a complex phenomenon characterized by a stochastic behavior. Nowadays, the enormous quantity of georeferenced data and the availability of powerful techniques for their analysis can provide a very careful picture of…

Populations and Evolution · Quantitative Biology 2023-09-06 Roberto Beneduci , Giovanni Mascali

Random forests are a statistical learning technique that use bootstrap aggregation to average high-variance and low-bias trees. Improvements to random forests, such as applying Lasso regression to the tree predictions, have been proposed in…

Machine Learning · Statistics 2025-11-13 Jing Shang , James Bannon , Benjamin Haibe-Kains , Robert Tibshirani

Amongst the numerous models introduced with SOC, the Forest Fire Model (FFM) is particularly attractive for its close relationship to stochastic spreading, which is central to the study of systems as diverse as epidemics, rumours, or…

Statistical Mechanics · Physics 2020-05-14 Lorenzo Palmieri , Henrik Jeldtoft Jensen

Natural ecosystems, in particular on the microbial scale, are inhabited by a large number of species. The population size of each species is affected by interactions of individuals with each other and by spatial and temporal changes in…

Populations and Evolution · Quantitative Biology 2023-06-23 Tom Burkart , Jan Willeke , Erwin Frey

Secondary forests now dominate tropical landscapes and play a crucial role in achieving COP15 conservation objectives. This study develops a replicable national approach to identifying and characterising forest ecosystems, with a focus on…

In various applications with large spatial regions, the relationship between the response variable and the covariates is expected to exhibit complex spatial patterns. We propose a spatially clustered varying coefficient model, where the…

Methodology · Statistics 2020-07-21 Fangzheng Lin , Yanlin Tang , Huichen Zhu , Zhongyi Zhu

Fires and rainfall are major mechanisms that regulate woody and grassy biomasses in savanna ecosystems. Conditions of long-lasting coexistence of trees and grasses have been mainly studied using continuous-time modelling of tree-grass…

Dynamical Systems · Mathematics 2019-05-28 V. Yatat , P. Couteron , J. J. Tewa , S. Bowong , Y. Dumont

Effects of feedbacks on self-organization phenomena in networks of diffusively coupled bistable elements are investigated. For regular trees, an approximate analytical theory for localized stationary patterns under application of global…

Adaptation and Self-Organizing Systems · Physics 2013-04-24 Nikos E. Kouvaris , Alexander S. Mikhailov