Evolutionarily stable transition rates in a stage-structured model. An application to the analysis of size distributions of badges of social status

Mathematical Biosciences
Jordi RipollJuan Carlos Senar

Abstract

This paper deals with the adaptive dynamics associated to a hierarchical non-linear discrete population model with a general transition matrix. In the model, individuals are categorized into n dominance classes, newborns lie in the subordinate class, and it is considered as evolutionary trait a vector eta of probabilities of transition among classes. For this trait, we obtain the evolutionary singular strategy and prove its neutral evolutionary stability. Finally, we obtain conditions for the invading potential of such a strategy, which is sufficient for the convergence stability of the latter. With the help of the previous results, we provide an explanation for the bimodal distribution of badges of status observed in the Siskin (Carduelis spinus). In the Siskin, as in several bird species, patches of pigmented plumage signal the dominance status of the bearer to opponents, and central to the discussion on the evolution of status signalling is the understanding of which should be the frequency distribution of badge sizes. Though some simple verbal models predicted a bimodal distribution, up to now most species display normal distributions and bimodality has only been described for the Siskin. In this paper, we give conditions l...Continue Reading

References

Jun 21, 1990·Journal of Theoretical Biology·A Grafen
Jul 6, 1988·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·J Maynard Smith, D G Harper
Feb 1, 1995·Biological Reviews of the Cambridge Philosophical Society·R A Johnstone
Jan 1, 1996·Journal of Mathematical Biology·P MarrowR Law
Jan 1, 1996·Journal of Mathematical Biology·U Dieckmann, R Law
Jun 16, 2000·Mathematical Biosciences·J LebretonV Grosbois
Jun 21, 2001·Proceedings. Biological Sciences·J Dale
Jul 1, 1982·Journal of the History of Biology·C U Smith
May 22, 2002·Journal of Mathematical Biology·Chi-Kwong Li, Hans Schneider
Dec 1, 1998·Trends in Ecology & Evolution·A Qvarnström, E Forsgren

❮ Previous
Next ❯

Citations

Mar 17, 2009·Journal of Mathematical Biology·Angel Calsina, Jordi Ripoll
Aug 14, 2008·Biology Letters·Shinichi NakagawaTerry Burke
Nov 8, 2008·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Tim Caro
Feb 14, 2007·Mathematical Biosciences·Angel Calsina, Jordi Ripoll
Jan 24, 2006·Mathematical Biosciences·M ZetlaouiA Bar-Hen

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2022 Meta ULC. All rights reserved