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GET /v1/exponential

Exponential (Malthusian) growth

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10 free calls per day — no sign-up, no API key. Goes through the oanor gateway.

Custom headers (optional)
api.oanor.com/populationgrowth-api

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Code snippets

curl "https://api.oanor.com/populationgrowth-api/v1/exponential" \
  -H "x-oanor-key: oanor_test_..."
await fetch("https://api.oanor.com/populationgrowth-api/v1/exponential", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
$ch = curl_init("https://api.oanor.com/populationgrowth-api/v1/exponential");
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
$out = curl_exec($ch);
import requests
requests.get(
    "https://api.oanor.com/populationgrowth-api/v1/exponential",
    headers={"x-oanor-key": "oanor_test_..."}
)

Example response

A real response from this endpoint, captured by the latest health check.

{
    "data": {
        "note": "Exponential (Malthusian) growth N(t) = N0·e^(r·t), r the continuous per-period rate. 100 at r=0.05 over 10 periods → ≈164.87.",
        "inputs": {
            "rate": 0.05,
            "time": 10,
            "initial": 100
        },
        "population": 164.872127,
        "doubling_time": 13.862944,
        "growth_factor": 1.64872127
    },
    "meta": {
        "timestamp": "2026-06-05T19:50:17.489Z",
        "request_id": "9ee653db-09cc-4ec1-b204-cb7281467cbb"
    },
    "status": "ok",
    "message": "Exponential growth",
    "success": true
}