dorsal/arxiv
View SchemaAllee Effects and Extinction in a Lattice Model
| Authors | Alastair Windus, Henrik Jeldtoft Jensen |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0612005 |
| URL | https://arxiv.org/abs/q-bio/0612005 |
Abstract
In the interest of conservation, the importance of having a large habitat available for a species is widely known. Here, we introduce a lattice-based model for a population and look at the importance of fluctuations as well as that of the population density, particularly with respect to Allee effects. We examine the model analytically and by Monte Carlo simulations and find that, while the size of the habitat is important, there exists a critical population density below which extinction is assured. This has large consequences with respect to conservation, especially in the design of habitats and for populations whose density has become small. In particular, we find that the probability of survival for small populations can be increased by a reduction in the size of the habitat and show that there exists an optimal size reduction.
{
"annotation_id": "c0a70e51-3eec-4011-ab35-3d0bfb0858ba",
"date_created": "2026-03-02T18:01:35.377000Z",
"date_modified": "2026-03-02T18:01:35.377000Z",
"file_hash": "b78514c0421c6130e3d050a235b1b95b47adaea8573be6582ab07b29f48ba498",
"private": false,
"record": {
"abstract": "In the interest of conservation, the importance of having a large habitat\navailable for a species is widely known. Here, we introduce a lattice-based\nmodel for a population and look at the importance of fluctuations as well as\nthat of the population density, particularly with respect to Allee effects. We\nexamine the model analytically and by Monte Carlo simulations and find that,\nwhile the size of the habitat is important, there exists a critical population\ndensity below which extinction is assured. This has large consequences with\nrespect to conservation, especially in the design of habitats and for\npopulations whose density has become small. In particular, we find that the\nprobability of survival for small populations can be increased by a reduction\nin the size of the habitat and show that there exists an optimal size\nreduction.",
"arxiv_id": "q-bio/0612005",
"authors": [
"Alastair Windus",
"Henrik Jeldtoft Jensen"
],
"categories": [
"q-bio.PE"
],
"title": "Allee Effects and Extinction in a Lattice Model",
"url": "https://arxiv.org/abs/q-bio/0612005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f0e20864-b822-4ef6-84f4-b114aae362f8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}