Ratios scale the world up and down, and the capture-recapture method turns two small samples into an estimate of a whole population - the ecologist's favourite proportion. If the tagged fish make up the same fraction of the second catch as of the whole lake, one proportion gives the population. This is the real knowscape from knowhere, not a picture of one. Drag it. Watch what actually changes.
Every question here is the same move: something you can't measure directly, reached through something you can. The triangle, the bearing, the scale plan, the recapture sample — each is a bridge from a length you can reach to one you can't. Measurement is indirect measurement.
Ratios keep a constant proportional relationship, so they can estimate an unknown total from a sample: in capture-recapture, the share of tagged animals in the second catch is taken as the share of tagged animals in the whole population.
This concept has no prerequisites in knowhere's map — it is a root. Everything in the topic is built from here.
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