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We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

We study the Tangled Nature model of macro evolution and demonstrate that the co-evolutionary dynamics produces an increasingly correlated core of well occupied types. At the same time the entire configuration of types becomes increasing…

Statistical Mechanics · Physics 2015-03-13 Dominic Jones , Henrik Jeldtoft Jensen , Paolo Sibani

Understanding factors that shape biodiversity and species coexistence across scales is of utmost importance in ecology, both theoretically and for conservation policies. Species-area relationships (SARs), measuring how the number of…

Populations and Evolution · Quantitative Biology 2012-06-06 Massimo Cencini , Simone Pigolotti , Miguel A. Muñoz

This is an introductory review of deterministic mutation-selection models for asexual populations (i.e., quasispecies theory) and related topics. First, the basic concepts of fitness, mutations, and sequence space are introduced. Different…

Populations and Evolution · Quantitative Biology 2007-07-26 Kavita Jain , Joachim Krug

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

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

We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate due to age or competition and a probability of mutation…

Probability · Mathematics 2019-02-12 Anton Bovier , Loren Coquille , Charline Smadi

We show that the Tangled Nature model can be interpreted as a general formulation of the quasi-species model by Eigen et al. in a frequency dependent fitness landscape. We present a detailed theoretical derivation of the mutation threshold,…

Statistical Mechanics · Physics 2009-11-07 Simone Avogadro di Collobiano , Kim Christensen , Henrik Jeldtoft Jensen

The Alaskan landscape has undergone substantial changes in recent decades, most notably the expansion of shrubs and trees across the Arctic. We developed a dynamic statistical model to quantify the impact of climate change on the structural…

Applications · Statistics 2022-08-17 Xinyi Lu , Mevin B. Hooten , Ann M. Raiho , David K. Swanson , Carl A. Roland , Sarah E. Stehn

Population dynamics with spatial information is applied to understand the spread of pests. We introduce a model describing how pests spread in discrete space. The number of pest descendants at each site is controlled by local information…

Populations and Evolution · Quantitative Biology 2017-01-20 Woo Seong Jo , Hwang-Yong Kim , Beom Jun Kim

The aim of this manuscript is to contain the arguments and define the theoretical objects for building a general framework to model population dynamics from the ground up, relying mainly on the probabilistic landscapes defining the dynamics…

Populations and Evolution · Quantitative Biology 2023-04-26 Gui Araujo

In this work we address the analysis of discrete-time models of structured metapopulations subject to environmental stochasticity. Previous works on these models made use of the fact that migrations between the patches can be considered…

Populations and Evolution · Quantitative Biology 2024-02-07 Luis Sanz , Rafael Bravo de la Parra

Recent methodological advances are enabling better examination of speciation and extinction processes and patterns. A major open question is the origin of large discrepancies in species number between groups of the same age. Existing…

Populations and Evolution · Quantitative Biology 2015-09-01 Sacha Laurent , Marc Robinson-Rechavi , Nicolas Salamin

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

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

Population dynamics is constrained by the environment, which needs to obey certain conditions to support population growth. We consider a standard model for the evolution of a single species population density, that includes reproduction,…

Populations and Evolution · Quantitative Biology 2016-10-18 E. H. Colombo , C. Anteneodo

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

Statistical Mechanics · Physics 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a continuous time, discrete individual-centered population process. Taking the large population and rare…

Probability · Mathematics 2009-03-28 Sylvie Méléard , Viet Chi Tran

We propose a new procedure to monitor and forecast the onset of transitions in high dimensional complex systems. We describe our procedure by an application to the Tangled Nature model of evolutionary ecology. The quasi-stable…

Adaptation and Self-Organizing Systems · Physics 2014-12-31 Andrea Cairoli , Duccio Piovani , Henrik Jeldtoft Jensen

Forest management relies on the evaluation of silviculture practices. The increase in natural risk due to climate change makes it necessary to consider evaluation criteria that take natural risk into account. Risk integration in existing…

Populations and Evolution · Quantitative Biology 2019-09-17 Patrice Loisel , Guillerme Duvillié , Denis Barbeau , Brigitte Charnomordic