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Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models of complex systems where structure and dynamics are…

Statistical Mechanics · Physics 2026-02-04 Fernanda Sánchez-Puig , Octavio Zapata , Omar K. Pineda , Gerardo Iñiguez , Carlos Gershenson

Quantification of measurement uncertainty is crucial for robust scientific inference, yet accurate estimates of this uncertainty remain elusive for ecological measures of diversity. Here, we address this longstanding challenge by deriving a…

Populations and Evolution · Quantitative Biology 2024-02-27 Andreas Tiffeau-Mayer

The composition of ecological communities varies not only between different locations but also in time. Understanding the fundamental processes that drive species towards rarity or abundance is crucial to assessing ecosystem resilience and…

Populations and Evolution · Quantitative Biology 2024-11-22 Emil Mallmin , Arne Traulsen , Silvia De Monte

We consider the problem of estimating the population probability distribution given a finite set of multivariate samples, using the maximum entropy approach. In strict keeping with Jaynes' original definition, our precise formulation of the…

Data Analysis, Statistics and Probability · Physics 2007-07-13 Sabbir Rahman , Mahbub Majumdar

The Leinster and Cobbold diversity index possesses a number of merits; in particular, it generalises many existing indices and defines an effective number. We present a scheme to quantify the contribution of richness, evenness, and…

Populations and Evolution · Quantitative Biology 2022-12-13 Bingzhang Chen , Michael Grinfeld

Standard Gaussian graphical models (GGMs) implicitly assume that the conditional independence among variables is common to all observations in the sample. However, in practice, observations are usually collected form heterogeneous…

Methodology · Statistics 2010-01-26 Abel Rodriguez , Alex Lenkoski , Adrian Dobra

Thanks to recent technological advances, it is now possible to track with an unprecedented precision and for long periods of time the movement patterns of many living organisms in their habitat. The increasing amount of data available on…

Populations and Evolution · Quantitative Biology 2015-05-19 Denis Boyer , Peter D. Walsh

Active inference helps us simulate adaptive behavior and decision-making in biological and artificial agents. Building on our previous work exploring the relationship between active inference, well-being, resilience, and sustainability, we…

Artificial Intelligence · Computer Science 2024-06-13 Mahault Albarracin , Ines Hipolito , Maria Raffa , Paul Kinghorn

Metapopulation models are commonly used in ecology, evolution, and epidemiology. These models usually entail homogeneity assumptions within patches and study networks of migration between patches to generate insights into conservation of…

Populations and Evolution · Quantitative Biology 2025-06-06 Diepreye Ayabina , Hasan Sevil , Adam Kleczkowski , M. Gabriela M. Gomes

A fundamental goal of microbial ecology is to understand what determines the diversity, stability, and structure of microbial ecosystems. The microbial context poses special conceptual challenges because of the strong mutual influences…

Biological Physics · Physics 2019-03-06 Robert Marsland , Wenping Cui , Joshua Goldford , Alvaro Sanchez , Kirill Korolev , Pankaj Mehta

We provide finite-sample distribution approximations, that are uniform in the parameter, for inference in linear mixed models. Focus is on variances and covariances of random effects in cases where existing theory fails because their…

Statistics Theory · Mathematics 2025-07-29 Karl Oskar Ekvall , Matteo Bottai

The advances of next-generation sequencing technology have accelerated study of the microbiome and stimulated the high throughput profiling of metagenomes. The large volume of sequenced data has encouraged the rise of various studies for…

Methodology · Statistics 2019-04-30 Qiwei Li , Shuang Jiang , Andrew Y. Koh , Guanghua Xiao , Xiaowei Zhan

Many set selection and ranking algorithms have recently been enhanced with diversity constraints that aim to explicitly increase representation of historically disadvantaged populations, or to improve the overall representativeness of the…

Artificial Intelligence · Computer Science 2019-06-06 Ke Yang , Vasilis Gkatzelis , Julia Stoyanovich

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

Analysis of PDEs · Mathematics 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

Extensive research shows that more species-rich assemblages are generally more productive and efficient in resource use than comparable assemblages with fewer species. But the question of how diversity simultaneously affects the wide…

Ecosystems frequently display the coexistence of diverse species under resource competition, typically resulting in skewed distributions of rarity and abundance. A potential driver of such coexistence is environmental fluctuations that…

Populations and Evolution · Quantitative Biology 2025-08-07 Davide Zanchetta , Deepak Gupta , Sofia Moschin , Samir Suweis , Amos Maritan , Sandro Azaele

In order to accommodate the empirical fact that population structures are rarely simple, modern studies of evolutionary dynamics allow for complicated and highly-heterogeneous spatial structures. As a result, one of the most difficult…

Populations and Evolution · Quantitative Biology 2022-07-07 Alex McAvoy , John Wakeley

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

Methodology · Statistics 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

Applications · Statistics 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson
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