dorsal/arxiv
View SchemaPercolation on fitness landscapes: effects of correlation, phenotype, and incompatibilities
| Authors | Janko Gravner, Damien Pitman, Sergey Gavrilets |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611074 |
| URL | https://arxiv.org/abs/q-bio/0611074 |
Abstract
We study how correlations in the random fitness assignment may affect the structure of fitness landscapes. We consider three classes of fitness models. The first is a continuous phenotype space in which individuals are characterized by a large number of continuously varying traits such as size, weight, color, or concentrations of gene products which directly affect fitness. The second is a simple model that explicitly describes genotype-to-phenotype and phenotype-to-fitness maps allowing for neutrality at both phenotype and fitness levels and resulting in a fitness landscape with tunable correlation length. The third is a class of models in which particular combinations of alleles or values of phenotypic characters are "incompatible" in the sense that the resulting genotypes or phenotypes have reduced (or zero) fitness. This class of models can be viewed as a generalization of the canonical Bateson-Dobzhansky-Muller model of speciation. We also demonstrate that the discrete NK model shares some signature properties of models with high correlations. Throughout the paper, our focus is on the percolation threshold, on the number, size and structure of connected clusters, and on the number of viable genotypes.
{
"annotation_id": "557911a4-9c08-4c7e-9aa7-b8effcdb6317",
"date_created": "2026-03-02T18:01:34.733000Z",
"date_modified": "2026-03-02T18:01:34.733000Z",
"file_hash": "69f39c332865deef2071614267baafed60fd8f5f3268e1cb7db16c358810da5b",
"private": false,
"record": {
"abstract": "We study how correlations in the random fitness assignment may affect the\nstructure of fitness landscapes. We consider three classes of fitness models.\nThe first is a continuous phenotype space in which individuals are\ncharacterized by a large number of continuously varying traits such as size,\nweight, color, or concentrations of gene products which directly affect\nfitness. The second is a simple model that explicitly describes\ngenotype-to-phenotype and phenotype-to-fitness maps allowing for neutrality at\nboth phenotype and fitness levels and resulting in a fitness landscape with\ntunable correlation length. The third is a class of models in which particular\ncombinations of alleles or values of phenotypic characters are \"incompatible\"\nin the sense that the resulting genotypes or phenotypes have reduced (or zero)\nfitness. This class of models can be viewed as a generalization of the\ncanonical Bateson-Dobzhansky-Muller model of speciation. We also demonstrate\nthat the discrete NK model shares some signature properties of models with high\ncorrelations. Throughout the paper, our focus is on the percolation threshold,\non the number, size and structure of connected clusters, and on the number of\nviable genotypes.",
"arxiv_id": "q-bio/0611074",
"authors": [
"Janko Gravner",
"Damien Pitman",
"Sergey Gavrilets"
],
"categories": [
"q-bio.PE"
],
"title": "Percolation on fitness landscapes: effects of correlation, phenotype, and incompatibilities",
"url": "https://arxiv.org/abs/q-bio/0611074"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "be17041f-8596-4e68-9c3f-6170fc8d9172",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}