Education

Founder Effect Allele Retention Probability

Binomial retention probability 1 − (1−p)^(2N) for an allele among N founders, expected copy number, drift variance, copy-number distribution, and neutral fixation probability. Derived from Mayr 1942, Hartl & Clark 2007, StatPearls. Educational use only.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/founder-effect-probability' \
  -H 'Content-Type: application/json' \
  -d '{"founderCount":20,"alleleFrequency":0.05,"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/founder-effect-probability

Parameters

Name	Type	Required	Description
founderCount	number	Yes	Number of diploid founders (N).
alleleFrequency	number	Yes	Frequency p of the allele in the source population (0 ≤ p ≤ 1).
decimalPlaces	number	No	—

Response format

JSON result

JSON

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

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-founder-effect-probability": {
      "name": "founder-effect-probability",
      "description": "Binomial retention probability 1 − (1−p)^(2N) for an allele among N founders, expected copy number, drift variance, copy-number distribution, and neutral fixation probability. Derived from Mayr 1942, Hartl & Clark 2007, StatPearls. Educational use only.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=founder-effect-probability",
      "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": "founder-effect-probability",
    "arguments": {
  "founderCount": 20,
  "alleleFrequency": 0.05,
  "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).

Questions or issues? Contact [email protected]

Browse tools Open tool

Name

Type

Required

Description

founderCount

number

Yes

Number of diploid founders (N).

alleleFrequency

number

Yes

Frequency p of the allele in the source population (0 ≤ p ≤ 1).

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-founder-effect-probability": { "name": "founder-effect-probability", "description": "Binomial retention probability 1 − (1−p)^(2N) for an allele among N founders, expected copy number, drift variance, copy-number distribution, and neutral fixation probability. Derived from Mayr 1942, Hartl & Clark 2007, StatPearls. Educational use only.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=founder-effect-probability", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "founder-effect-probability", "arguments": { "founderCount": 20, "alleleFrequency": 0.05, "decimalPlaces": 4 } } }