Hamilton's rule, gradual evolution, and the optimal (feedback) control of phenotypically plastic traits

DOI10.1016/j.jtbi.2021.110602zbMath1467.92137OpenAlexW3125045220WikidataQ115063365 ScholiaQ115063365MaRDI QIDQ2041296

Tadeas Priklopil, Laurent Lehmann, Piret Avila

Publication date: 16 July 2021

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2021.110602

zbMATH Keywords

optimal controldynamic programmingkin selectiondynamic game theoryadaptive dynamicslife-history evolutioninvasion implies substitution

Mathematics Subject Classification ID

Problems related to evolution (92D15) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Applications of game theory (91A80) Dynamic games (91A25)

Related Items (3)

Selection on age-specific survival: constant versus fluctuating environment ⋮ Life history and deleterious mutation rate coevolution ⋮ Hamilton's rule, the evolution of behavior rules and the wizardry of control theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle
• Function-valued adaptive dynamics and optimal control theory
• Evolutionary stability: One concept, several meanings
• Multilocus models in the infinite island model of population structure
• A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters
• Shoot/root balance of plants: Optimal growth of a system with many vegetative organs
• On the multiple scales perturbation method for difference equations
• Computing the selection gradient and evolutionary response of an infinite-dimensional trait
• Kin selection and natal dispersal in an age-structured population.
• On the changing concept of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution
• The adaptive dynamics of function-valued traits
• Dynamic optimization over infinite-time horizon: web-building strategy in an orb-weaving spider as a case study
• Function-valued adaptive dynamics and the calculus of variations
• Parental care as a differential game: a dynamic extension of the Houston-Davies game
• Nonzero-sum differential games
• Further properties of nonzero-sum differential games
• On the neighbor effect and the evolution of altruistic traits
• Social evolution and genetic interactions in the short and long term
• Invasion implies substitution in ecological communities with class-structured populations
• Primer on Optimal Control Theory
• The Maximum Principle under Minimal Hypotheses
• Informationally Nonunique Equilibrium Solutions in Differential Games
• Multitime Methods for Systems of Difference Equations
• Foundations of Dynamic Economic Analysis
• The Selection Gradient of an Infinite-Dimensional Trait
• A second variation test for singular extremals
• Necessary conditions for singular extremals
• Necessary Conditions for Singular Extremals Involving Multiple Control Variables
• A generalization of Pontryagin's maximum principle for dynamic evolutionary games among relatives
• Cooperative decision making in common pool situations

This page was built for publication: Hamilton's rule, gradual evolution, and the optimal (feedback) control of phenotypically plastic traits