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Kinship Coefficient Calculator (Relationship r & Coancestry φ)

Compute Wright's r = Σ (1/2)^(n1+n2)(1+F_A) and kinship φ = r/2 for two individuals, with reference values (full sib 0.5, half sib 0.25, first cousins 0.125) and relationship-degree classification. Child F = parental φ. Derived from Wright 1922, Falconer & Mackay, Hartl & Clark 2007, Jacquard 1970. 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/kinship-coefficient' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"multiple","n1":1,"n2":1,"ancestorInbreeding":0,"paths":"1, 1, 0\n1, 1, 0","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/kinship-coefficient

Parameters

NameTypeRequiredDescription
modeselectYesOne common ancestor path, or a sum over multiple common ancestors.
n1numberYesGenerations from the first individual back to the common ancestor (single-path mode).
n2numberYesGenerations from the second individual back to the common ancestor (single-path mode).
ancestorInbreedingnumberYesThe common ancestor's own inbreeding coefficient (single-path mode).
pathstextarea

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-kinship-coefficient": {
      "name": "kinship-coefficient",
      "description": "Compute Wright's r = Σ (1/2)^(n1+n2)(1+F_A) and kinship φ = r/2 for two individuals, with reference values (full sib 0.5, half sib 0.25, first cousins 0.125) and relationship-degree classification. Child F = parental φ. Derived from Wright 1922, Falconer & Mackay, Hartl & Clark 2007, Jacquard 1970. Educational use only.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=kinship-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": "kinship-coefficient",
    "arguments": {
  "mode": "multiple",
  "n1": 1,
  "n2": 1,
  "ancestorInbreeding": 0,
  "paths": "1, 1, 0\n1, 1, 0",
  "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).
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© 2026 Elysia Tools. Developer documentation.

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No
Multiple-path mode: one line per common-ancestor path as 'n1, n2, F_A' (F_A optional, default 0). Example for first cousins: two lines '2,2,0'.
decimalPlacesnumberNo—

Response format

JSON result

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

Questions or issues? Contact [email protected]