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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
Published on: February 3, 2023
Stochastic evolution of bad memes
1Departamento de Física, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte MG, Brazil.
Abstract:
Dawkins introduced a groundbreaking concept suggesting that humans, similar to other animals, operate as gene-propagating machines. Following in his footsteps, Blackmore posits that humans might distinguish themselves from other animals by also serving as specialized meme-replicating machines. Here we introduce a mathematical model that examines the impact of social conformity on the propagation of bad memes (memes with low intrinsic appeal). We state the meme equations, which give us the number of different kinds of memes living in the population and its total amount. We show that, unlike a virus, bad memes have a very low probability of initially spreading. However, as memes are produced in large numbers, some will eventually experience a stochastic rise and persist for extended periods, aided by social conformism within groups. We develop analytical approximations to calculate the mean time taken for memes to become extinct and the mean time spent in each population state. These approximations enable us to apply the meme equations to conduct a qualitative analysis.
Insights
Humans may be meme-replicating machines, like animals are gene-propagating machines. Social conformity helps "bad memes" with low appeal spread and persist, despite initial low probability of propagation.
Area of Science:
- Evolutionary Psychology
- Sociology
- Mathematical Modeling
Background:
- Richard Dawkins proposed humans act as gene-propagating machines.
- Susan Blackmore suggested humans also function as meme-replicating machines.
Purpose of the Study:
- To mathematically model the propagation of "bad memes" (low intrinsic appeal) influenced by social conformity.
- To analyze the dynamics of meme spread and persistence in populations.
Main Methods:
- Development of "meme equations" to quantify meme populations.
- Analytical approximations to calculate extinction times and population states.
- Qualitative analysis using mathematical models.
Main Results:
- Bad memes have a low initial probability of spreading, similar to viruses.
- Despite low initial spread, large meme production can lead to stochastic rises.
- Social conformism significantly aids the persistence of bad memes within groups.
Conclusions:
- Social conformity plays a crucial role in the long-term survival of memes with limited inherent appeal.
- Mathematical modeling provides insights into the spread and persistence dynamics of cultural information.
- The study extends evolutionary concepts to the replication and spread of memes.
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