Education
Inbreeding Coefficient Calculator (Wright's F)
Compute Wright's F = Σ (1/2)^(n1+n2+1)(1+F_A) over common-ancestor paths, with reference values (full sib 0.25, half sib 0.125, first cousins 0.0625) and elevated recessive risk q² + F·q·(1−q). Derived from Wright 1922, Falconer & Mackay, 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/inbreeding-coefficient' \
-H 'Content-Type: application/json' \
-d '{"mode":"multiple","n1":1,"n2":1,"ancestorInbreeding":0,"paths":"1, 1, 0\n1, 1, 0","alleleFrequency":0.01,"decimalPlaces":6}'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/inbreeding-coefficientParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | Yes | One common ancestor path, or a sum over multiple common ancestors. |
| n1 | number | Yes | Generations from the sire back to the common ancestor (single-path mode). |
| n2 | number | Yes | Generations from the dam back to the common ancestor (single-path mode). |
| ancestorInbreeding | number | Yes | The common ancestor's own inbreeding coefficient (single-path mode). |
| paths | textarea |
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-inbreeding-coefficient": {
"name": "inbreeding-coefficient",
"description": "Compute Wright's F = Σ (1/2)^(n1+n2+1)(1+F_A) over common-ancestor paths, with reference values (full sib 0.25, half sib 0.125, first cousins 0.0625) and elevated recessive risk q² + F·q·(1−q). Derived from Wright 1922, Falconer & Mackay, Hartl & Clark 2007, StatPearls. Educational use only.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=inbreeding-coefficient",
"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": "inbreeding-coefficient",
"arguments": {
"mode": "multiple",
"n1": 1,
"n2": 1,
"ancestorInbreeding": 0,
"paths": "1, 1, 0\n1, 1, 0",
"alleleFrequency": 0.01,
"decimalPlaces": 6
}
}
}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).