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Bottleneck Effect Simulator (heterozygosity loss)

Expected heterozygosity loss through a population bottleneck: H_final = H₀(1−1/2Nb)^t(1−1/2Nr)^g, retention, inbreeding F, harmonic-mean Ne, and one-generation allele survival. Derived from Wright 1931, Nei et al. 1975, Hartl & Clark 2007, StatPearls. Educational use only.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/bottleneck-effect-simulator' \
  -H 'Content-Type: application/json' \
  -d '{"initialHeterozygosity":0.5,"bottleneckSize":20,"bottleneckGenerations":5,"recoverySize":2000,"recoveryGenerations":10,"alleleFrequency":0.1,"decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP
POST https://api.elysiatools.com/en/api/tools/bottleneck-effect-simulator

Parameters

NameTypeRequiredDescription
initialHeterozygositynumberYesHeterozygosity before the bottleneck (0 < H₀ ≤ 1).
bottleneckSizenumberYesCensus size during the bottleneck (Nb).
bottleneckGenerationsnumberYesNumber of generations spent at the bottleneck size (t).
recoverySizenumberYesCensus size after recovery (Nr).
recoveryGenerationsnumber

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json
{
  "mcpServers": {
    "elysiatools-bottleneck-effect-simulator": {
      "name": "bottleneck-effect-simulator",
      "description": "Expected heterozygosity loss through a population bottleneck: H_final = H₀(1−1/2Nb)^t(1−1/2Nr)^g, retention, inbreeding F, harmonic-mean Ne, and one-generation allele survival. Derived from Wright 1931, Nei et al. 1975, Hartl & Clark 2007, StatPearls. Educational use only.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=bottleneck-effect-simulator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call
{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "bottleneck-effect-simulator",
    "arguments": {
  "initialHeterozygosity": 0.5,
  "bottleneckSize": 20,
  "bottleneckGenerations": 5,
  "recoverySize": 2000,
  "recoveryGenerations": 10,
  "alleleFrequency": 0.1,
  "decimalPlaces": 4
}
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
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Yes
Generations spent at the recovery size (g; 0 to skip).
alleleFrequencynumberYesFrequency p of a focal allele used for the one-generation bottleneck survival estimate.
decimalPlacesnumberNo—

Response format

JSON result

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

Questions or issues? Contact [email protected]