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Related papers: The Complexity of Genetic Diversity

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Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

This paper is Part II of a two-part series devoting to the study of systematic measures in a complex bio-network modeled by a system of ordinary differential equations. In this part, we quantify several systematic measures of a biological…

Probability · Mathematics 2016-06-13 Yao Li , Yingfei Yi

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Populations and Evolution · Quantitative Biology 2023-01-03 Violeta Calleja-Solanas , Nagi Khalil , Jesús Gómez-Gardeñes , Emilio Hernández-García , Sandro Meloni

Ecological trade-offs between species are often invoked to explain species coexistence in ecological communities. However, few mathematical models have been proposed for which coexistence conditions can be characterized explicitly in terms…

Populations and Evolution · Quantitative Biology 2013-05-21 Bart Haegeman , Tewfik Sari , Rampal S. Etienne

We present a mathematical simplification for the evolutionary dynamics of a heritable trait within a two-sex population. This trait is assumed to control the timing of sex-specific life-history events, such as the age of sexual maturity and…

Populations and Evolution · Quantitative Biology 2019-07-04 M. H. Chan , K. Hawkes , P. S. Kim

We considered a {multi-block} molecular model of biological evolution, in which fitness is a function of the mean types of alleles located at different parts (blocks) of the genome. We formulated an infinite population model with selection…

Populations and Evolution · Quantitative Biology 2015-06-12 David B. Saakian , Zara Kirakosyan , Chin-Kun Hu

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Classic economic science is reaching the limits of its explanatory powers. Complexity science uses an increasingly larger set of different methods to analyze physical, biological, cultural, social, and economic factors, providing a broader…

General Finance · Quantitative Finance 2017-07-11 Klaus Jaffe

For a phylogenetic tree, the phylogenetic diversity of a set A of taxa is the total weight of edges on paths to A. Finding small sets of maximal diversity is crucial for conservation planning, as it indicates where limited resources can be…

Data Structures and Algorithms · Computer Science 2025-10-29 Mark Jones , Jannik Schestag

We present a theory of ensemble diversity, explaining the nature of diversity for a wide range of supervised learning scenarios. This challenge has been referred to as the holy grail of ensemble learning, an open research issue for over 30…

Machine Learning · Computer Science 2024-02-08 Danny Wood , Tingting Mu , Andrew Webb , Henry Reeve , Mikel Luján , Gavin Brown

The universal genetic code presents a fundamental paradox in molecular biology. Recent advances in synthetic biology have demonstrated that the code is remarkably flexible--organisms can survive with 61 codons instead of 64, natural…

Populations and Evolution · Quantitative Biology 2025-07-03 Marc Bara Iniesta

We build a general theory for characterizing the computational complexity of motion planning of robot(s) through a graph of "gadgets", where each gadget has its own state defining a set of allowed traversals which in turn modify the…

Computational Complexity · Computer Science 2020-01-15 Erik D. Demaine , Dylan H. Hendrickson , Jayson Lynch

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

In this paper we examine the concept of complexity as it applies to generative art and design. Complexity has many different, discipline specific definitions, such as complexity in physical systems (entropy), algorithmic measures of…

Neural and Evolutionary Computing · Computer Science 2021-02-05 Jon McCormack , Camilo Cruz Gambardella , Andy Lomas

The biological requirements for an ecosystem to develop and maintain species diversity are in general unknown. Here we consider a model ecosystem of sessile and mutually excluding organisms competing for space [Mathiesen et al. Phys. Rev.…

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

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

The possibility to use competitive evolutionary algorithms to generate long-term progress is normally prevented by the convergence on limit cycle dynamics in which the evolving agents keep progressing against their current competitors by…

Neural and Evolutionary Computing · Computer Science 2020-05-26 Luca Simione , Stefano Nolfi

A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable mutation rates as a control parameter to optimise the…

Populations and Evolution · Quantitative Biology 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

Complex systems with tightly coadapted parts frequently appear in living systems and are difficult to account for through Darwinian evolution, that is random variation and natural selection, if the constituent parts are independently coded…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 John F. McGowan , Ph. D

When a biological system robustly corrects component-level errors, the direct pressure on component performance declines. Components may become less reliable, maintain more genetic variability, or drift neutrally in design, creating the…

Populations and Evolution · Quantitative Biology 2023-12-27 Steven A. Frank