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The general tendency for species number (S) to increase with sampled area (A) constitutes one of the most robust empirical laws of ecology, quantified by species-area relationships (SAR). In many ecosystems, SAR curves display a power-law…

Populations and Evolution · Quantitative Biology 2009-08-04 Simone Pigolotti , Massimo Cencini

Over the last few decades, ecologists have come to appreciate that key ecological patterns, which describe ecological communities at relatively large spatial scales, are not only scale dependent, but also intimately intertwined. The…

Populations and Evolution · Quantitative Biology 2016-09-13 Fabio Peruzzo , Sandro Azaele

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…

Several formulations are describing the pattern of species-area relationship, log-log linear, semi-log linear, among others. These patterns mainly explain the species-area relationship for large areas, and for the small area, they provide…

Populations and Evolution · Quantitative Biology 2021-07-06 Saeid Alirezazadeh , Khadijeh Alibabaei , Stephen P. Hubbell

There has been a considerable effort to understand and quantify the spatial distribution of species across different ecosystems. Relative species abundance (RSA), beta diversity and species area relationship (SAR) are among the most used…

Populations and Evolution · Quantitative Biology 2012-09-18 Jacopo Grilli , Sandro Azaele , Jayanth R Banavar , Amos Maritan

Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided simple predictions…

Populations and Evolution · Quantitative Biology 2017-12-13 Simone Pigolotti , Massimo Cencini , Daniel Molina , Miguel A. Muñoz

The impact of environmental variability on population size growth rate in dynamic models is a recurrent issue in the theoretical ecology literature. In the scalar case, R. Lande pointed out that results are ambiguous depending on whether…

Probability · Mathematics 2009-08-19 Michel De Lara

It has been a century since the species-area relationship (SAR) was first proposed as a power law to explain how species richness scales with area. There have been many attempts to explain the origin of this predominant form. Apart from the…

Populations and Evolution · Quantitative Biology 2021-08-17 Ankit Vikrant , Martin Nilsson Jacobi

Models relating to the Species-Area curve are usually defined at the species level, and concerned only with ecological timescales. We examine an individual-based model of co-evolution on a spatial lattice based on the Tangled Nature model,…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

Climate changes may affect ecosystems destabilising relationships among species. We investigate the spatial rock-paper-scissors models with a regional unevenness that reduces the selection capacity of organisms of one species. Our results…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , M. Tenorio

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population…

Populations and Evolution · Quantitative Biology 2007-05-23 M. Ravasz , A. Balog , V. Marko , Z. Neda

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

Populations and Evolution · Quantitative Biology 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

Species accumulation curves (SAC), i.e. the relationship between species richness and the number of sampling units in a given community, can be used to describe diversity patterns while accounting for the well-known scale-dependence of…

Populations and Evolution · Quantitative Biology 2018-02-27 Niv DeMalach , Hugo Saiz , Eli Zaady , Fernando T. Maestre

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

Populations and Evolution · Quantitative Biology 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo

One of the first successes of neutral ecology was to predict realistically-broad distributions of rare and abundant species. However, it has remained an outstanding theoretical challenge to describe how this distribution of abundances…

Populations and Evolution · Quantitative Biology 2018-07-18 James P. O'Dwyer , Stephen J. Cornell

Complementarity among species with different traits is one of the basic processes affecting biodiversity, defined as the number of species in the ecosystem. We present here a soluble model ecosystem in which the species are characterized by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari
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