{
  "annotation_id": "f21ea158-0b77-4fd5-8286-4c195973e2bf",
  "date_created": "2026-03-02T18:00:42.738000Z",
  "date_modified": "2026-03-02T18:00:42.738000Z",
  "file_hash": "d105e70329a67d71dbe4aa7ed0aebd1cfba7ad1dc3b621d0d9ff84a664748bd2",
  "private": false,
  "record": {
    "abstract": "Using the simple ETAS branching model of seismicity, which assumes that each\nearthquake can trigger other earthquakes, we quantify the role played by the\ncascade of triggered seismicity in controlling the rate of aftershock decay as\nwell as the overall level of seismicity in the presence of a constant external\nseismicity source. We show that, in this model, the fraction of earthquakes in\nthe population that are aftershocks is equal to the fraction of aftershocks\nthat are indirectly triggered and is given by the average number of triggered\nevents per earthquake. Previous observations that a significant fraction of\nearthquakes are triggered earthquakes therefore imply that most aftershocks are\nindirectly triggered by the mainshock.",
    "arxiv_id": "physics/0303070",
    "authors": [
      "Agnes Helmstetter",
      "Didier Sornette"
    ],
    "categories": [
      "physics.geo-ph"
    ],
    "doi": "10.1029/2003GL017670",
    "journal_ref": "Geophys. Res. Lett., 30, 1576, doi:1029/2003GL017670, 2003",
    "title": "Importance of direct and indirect triggered seismicity",
    "url": "https://arxiv.org/abs/physics/0303070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5bda552f-cb78-4927-8211-46e727f7d901",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}