{
  "annotation_id": "2304839f-aee1-4d45-bce3-21f4b40f1ce9",
  "date_created": "2026-03-02T18:01:35.827000Z",
  "date_modified": "2026-03-02T18:01:35.827000Z",
  "file_hash": "02b9e9b4749ca8282feb674e8408eefd88d4b131d9b2639d9e44f49583716f53",
  "private": false,
  "record": {
    "abstract": "We study the properties of Lotka-Volterra competitive models in which the\nintensity of the interaction among species depends on their position along an\nabstract niche space through a competition kernel. We show analytically and\nnumerically that the properties of these models change dramatically when the\nFourier transform of this kernel is not positive definite, due to a pattern\nforming instability. We estimate properties of the species distributions, such\nas the steady number of species and their spacings, for different types of\nkernels.",
    "arxiv_id": "q-bio/0702035",
    "authors": [
      "Simone Pigolotti",
      "Cristobal Lopez",
      "Emilio Hernandez-Garcia"
    ],
    "categories": [
      "q-bio.PE",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.98.258101",
    "journal_ref": "Phys. Rev. Lett. 98, 258101 (2007)",
    "title": "Species clustering in competitive Lotka-Volterra models",
    "url": "https://arxiv.org/abs/q-bio/0702035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9430d4f7-fab1-4ec2-b3aa-47d5b74d8b2b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}