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The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

Physics and Society · Physics 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Disordered systems theory provides powerful tools to analyze the generic behaviors of highdimensional systems, such as species-rich ecological communities or neural networks. By assuming randomness in their interactions, universality…

Populations and Evolution · Quantitative Biology 2025-03-20 Juan Giral Martínez

Much of our understanding of ecological and evolutionary mechanisms derives from analysis of low-dimensional models: with few interacting species, or few axes defining "fitness". It is not always clear to what extent the intuition derived…

Populations and Evolution · Quantitative Biology 2018-02-14 Mikhail Tikhonov , Remi Monasson

Ecosystems are among the most interesting and well-studied examples of self-organized complex systems. Community ecology, the study of how species interact with each other and the environment, has a rich tradition. Over the last few years,…

Populations and Evolution · Quantitative Biology 2024-03-11 Wenping Cui , Robert Marsland , Pankaj Mehta

Despite the apparent cross-disciplinary interactions among scientific fields, a formal description of their evolution is lacking. Here we describe a novel approach to study the dynamics and evolution of scientific fields using a…

Physics and Society · Physics 2011-02-03 Mark Herrera , David C. Roberts , Natali Gulbahce

Network ecologists investigate the structure, function, and evolution of ecological systems using network models and analyses. For example, network techniques have been used to study community interactions (i.e., food-webs, mutualisms),…

Quantitative Methods · Quantitative Biology 2015-04-16 Stuart R. Borrett , James Moody , Achim Edelmann

Ecological systems are emergent features of ecological and adaptive dynamics of a community of interacting species. By natural selection through the abiotic environment and by co-adaptation within the community, species evolve, thereby…

Populations and Evolution · Quantitative Biology 2018-07-03 Katharina Brinck , Henrik Jeldtoft Jensen

Ecologists are interested in understanding and predicting how ecological communities change through time. While it might seem natural to measure this through changes in species' abundances, computational limitations mean transitions between…

Quantitative Methods · Quantitative Biology 2014-04-01 William D. Pearse , Andy Purvis , David B. Roy , Alexandros Stamatakis

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the…

We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed points, persistent dynamics (e.g., limit cycles or chaos) have also been observed, both in…

Adaptation and Self-Organizing Systems · Physics 2025-09-10 Robin Delabays , Philippe Jacquod

The increasing volume of ecologically and biologically relevant data has revealed a wide collection of emergent patterns in living systems. Analyzing different datasets, ranging from metabolic gene-regulatory to species interaction…

Physics and Society · Physics 2019-12-13 Daniel M. Busiello , Samir Suweis , Jorge Hidalgo , Amos Maritan

Psychology has had difficulty accounting for the creative, context-sensitive manner in which concepts are used. We believe this stems from the view of concepts as identifiers rather than bridges between mind and world that participate in…

Adaptation and Self-Organizing Systems · Physics 2013-08-26 Liane Gabora , Eleanor Rosch , Diederik Aerts

The evolution of states of a spatial ecological model is studied. The model describes an infinite population of point entities placed in $\mathbb{R}^d$ which reproduce themselves at distant points (disperse) and die with rate that includes…

Dynamical Systems · Mathematics 2015-12-22 Yuri Kondratiev , Yuri Kozitsky

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

Dynamical Systems · Mathematics 2023-01-11 Longmei Shu , Feng Fu

Microbial ecosystems exhibit a surprising amount of functionally relevant diversity at all levels of taxonomic resolution, presenting a significant challenge for most modeling frameworks. A long-standing hope of theoretical ecology is that…

Populations and Evolution · Quantitative Biology 2025-10-09 Jacob Moran , Lucas C. Graham , Mikhail Tikhonov

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

Understanding the changing structure of science over time is essential to elucidating how science evolves. We develop diachronic embeddings of scholarly periodicals to quantify "semantic changes" of periodicals across decades, allowing us…

Digital Libraries · Computer Science 2025-10-10 Zhuoqi Lyu , Qing Ke

A major challenge for community ecology is using spatio-temporal data to infer parameters of dynamical models without conducting laborious experiments. We present a novel framework from statistical physics -- Maximum Caliber -- to…

Populations and Evolution · Quantitative Biology 2025-11-07 Zachary Jackson , Mathew A. Leibold , Robert D. Holt , BingKan Xue

Despite major advances in climate science over the last 30 years, persistent uncertainties in projections of future climate change remain. Climate projections are produced with increasingly complex models which attempt to represent key…

Atmospheric and Oceanic Physics · Physics 2021-05-26 Mark S. Williamson , Chad W. Thackeray , Peter M. Cox , Alex Hall , Chris Huntingford , Femke J. M. M. Nijsse