| Full text | |
| Author(s): |
Franco, Gabriella Dantas
[1]
;
Marquitti, Flavia Maria Darcie
[2, 1]
;
Fernandes, Lucas D.
[3]
;
Braha, Dan
[4, 5]
;
Aguiar, Marcus Aloizio Martinez de
[1]
Total Authors: 5
|
| Affiliation: | [1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, Dept Fis Mat Condensada, BR-13083970 Campinas, SP - Brazil
[2] Univ Estadual Campinas, Inst Biol, BR-13083862 Campinas, SP - Brazil
[3] Imperial Coll London, Dept Life Sci, Silwood Pk, Ascot SL5 7PY, Berks - England
[4] Univ Massachusetts, Dartmouth, MA 02747 - USA
[5] New England Complex Syst Inst, Cambridge, MA 02139 - USA
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 104, n. 2 AUG 25 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Mutation and drift play opposite roles in genetics. While mutation creates diversity, drift can cause gene variants to disappear, especially when they are rare. In the absence of natural selection and migration, the balance between the drift and mutation in a well-mixed population defines its diversity. The Moran model captures the effects of these two evolutionary forces and has a counterpart in social dynamics, known as the voter model with external opinion influencers. Two extreme outcomes of the voter model dynamics are consensus and coexistence of opinions, which correspond to low and high diversity in the Moran model. Here we use a Shannon's information-theoretic approach to characterize the smooth transition between the states of consensus and coexistence of opinions in the voter model. Mapping the Moran into the voter model, we extend the results to the mutation-drift balance and characterize the transition between low and high diversity in finite populations. Describing the population as a network of connected individuals, we show that the transition between the two regimes depends on the network topology of the population and on the possible asymmetries in the mutation rates. (AU) | |
| FAPESP's process: | 20/13957-5 - Phase transition in the Voter and the Moran models in non-regular networks |
| Grantee: | Gabriella Dantas Franco |
| Support Opportunities: | Scholarships in Brazil - Technical Training Program - Technical Training |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |
| FAPESP's process: | 19/20271-5 - Evolutionary models in population dynamics |
| Grantee: | Marcus Aloizio Martinez de Aguiar |
| Support Opportunities: | Regular Research Grants |