Can’t count them all? Count part of them: the calculator estimates the total with the methods researchers use.
| Marked | Caught | Marked recaptured | Estimate | 95% range |
|---|---|---|---|---|
| 20 | 20 | 5 | 72 | 35–111 |
| 50 | 40 | 10 | 189 | 108–270 |
| 100 | 100 | 20 | 484 | 323–645 |
| 200 | 150 | 30 | 978 | 700–1256 |
Published statistical methods. The result depends on how well you count: pick areas at random and respect the mark–recapture assumptions.
50 workers marked, 40 caught the next day, 10 of them marked: N = 51 × 41 ÷ 11 − 1 = 189 workers, 95% range 108 to 270.
Sources: D. G. Chapman (1951), Seber variance (R package recapr); Billick (1999, Insectes Sociaux 46: 256–260), mark–recapture on Formica neorufibarbis, close to full excavation counts; Tschinkel (1988), subsample counts in Solenopsis; Robson & Regier (1964) for the 7-recapture minimum.
Under 100 workers, count them on a photo. Above that, count a few random areas and scale up, or use mark–recapture.
Yes, if marked ants mix well with the rest of the colony: a study on Formica found results close to a full count. If you only mark foragers, you mostly estimate the foragers.
Enough to recapture at least 7 on the second pass. For a colony of a few hundred workers, marking 30–50 ants is often enough.
Write to me: I fix the numbers and improve the calculator.