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The concept of fitness is introduced, and a simple derivation of the Fundamental Theorem of Natural Selection (which states that the average fitness of a population increases if its variance is nonzero) is given. After a short discussion of…

凝聚态物理 · 物理学 2008-02-03 Luca Peliti

Evolution is the process of optimal adaptation of biological populations to their living environments. This is expressed via the concept of fitness, defined as relative reproductive success. However, it has been pointed out that this…

种群与进化 · 定量生物学 2025-04-17 Luís MA Bettencourt , Brandon J Grandison , Jordan T Kemp

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

种群与进化 · 定量生物学 2015-05-19 Anna Melbinger , Massimo Vergassola

The tempo and mode of an adaptive process is strongly determined by the structure of the fitness landscape that underlies it. In order to be able to predict evolutionary outcomes (even on the short term), we must know more about the nature…

种群与进化 · 定量生物学 2013-02-28 Bjørn Østman , Christoph Adami

Growing efforts to measure fitness landscapes in molecular and microbial systems are premised on a tight relationship between landscape topography and evolutionary trajectories. This relationship, however, is far from being straightforward:…

种群与进化 · 定量生物学 2019-12-13 Matteo Smerlak

Random walks on multidimensional nonlinear landscapes are of interest in many areas of science and engineering. In particular, properties of adaptive trajectories on fitness landscapes determine population fates and thus play a central role…

种群与进化 · 定量生物学 2014-10-08 Michael Manhart , Alexandre V. Morozov

The concept of a fitness landscape is a powerful metaphor that offers insight into various aspects of evolutionary processes and guidance for the study of evolution. Until recently, empirical evidence on the ruggedness of these landscapes…

种群与进化 · 定量生物学 2013-01-18 Ivan G. Szendro , Martijn F. Schenk , Jasper Franke , Joachim Krug , J. Arjan G. M. de Visser

Evolutionary adaptation is the process that increases the fit of a population to the fitness landscape it inhabits. As a consequence, evolutionary dynamics is shaped, constrained, and channeled, by that fitness landscape. Much work has been…

种群与进化 · 定量生物学 2010-12-17 Bjørn Østman , Arend Hintze , Christoph Adami

Fitness landscapes are a useful concept to study the dynamics of meta-heuristics. In the last two decades, they have been applied with success to estimate the optimization power of several types of evolutionary algorithms, including genetic…

神经与进化计算 · 计算机科学 2020-01-31 Nuno M. Rodrigues , Sara Silva , Leonardo Vanneschi

The concept of fitness as a measure for a species's success in natural selection is central to the theory of evolution. We here investigate how reproduction rates which are not constant but vary in response to environmental fluctuations,…

种群与进化 · 定量生物学 2015-10-21 Anna Melbinger , Massimo Vergassola

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

种群与进化 · 定量生物学 2024-04-10 Joachim Krug , Daniel Oros

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…

种群与进化 · 定量生物学 2007-07-26 Kavita Jain , Joachim Krug

Sewall Wright's adaptive landscape metaphor penetrates a significant part of evolutionary thinking. Supplemented with Fisher's fundamental theorem of natural selection and Kimura's maximum principle, it provides a unifying and intuitive…

种群与进化 · 定量生物学 2017-05-05 Alexander S. Bratus , Artem S. Novozhilov , Yuri S. Semenov

Epistasis occurs when the effect of a mutation depends on its carrier's genetic background. Despite increasing evidence that epistasis for fitness is common, its role during evolution is contentious. Fitness landscapes, mappings of genotype…

种群与进化 · 定量生物学 2022-06-13 Claudia Bank

Proteins evolve through complex sequence spaces, with fitness landscapes serving as a conceptual framework that links sequence to function. Fitness landscapes can be smooth, where multiple similarly accessible evolutionary paths are…

We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. We propose a new model of gene regulation, where gene expression is…

种群与进化 · 定量生物学 2016-09-29 John Reinitz , Sergey Vakulenko , Dmitri Grigoriev , Andreas Weber

The genotype-fitness map plays a fundamental role in shaping the dynamics of evolution. However, it is difficult to directly measure a fitness landscape in practice, because the number of possible genotypes is astronomical. One approach is…

种群与进化 · 定量生物学 2014-11-11 Jakub Otwinowski , Joshua B. Plotkin

We consider the evolutionary trajectories traced out by an infinite population undergoing mutation-selection dynamics in static, uncorrelated random fitness landscapes. Starting from the population that consists of a single genotype, the…

种群与进化 · 定量生物学 2009-11-11 Kavita Jain , Joachim Krug

These notes introduce probabilistic landscape models defined on high-dimensional discrete sequence spaces. The models are motivated primarily by fitness landscapes in evolutionary biology, but links to statistical physics and computer…

种群与进化 · 定量生物学 2025-12-24 Sakshi Pahujani , Joachim Krug

Fitness landscapes are mappings between genotypes, phenotypes, and fitness that shape evolution. In recent years, empirical work and theoretical models have greatly advanced our understanding of how populations navigate rugged fitness…

种群与进化 · 定量生物学 2026-04-21 Malvika Srivastava , Claudia Bank , Joachim Krug , Suman G. Das
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