OLM 9.3. Tilman model: Full analysis
We argued that robust coexistence of competitors requires differentiation both in the impact and in the sensitivity vectors (TBox 9.3, p.184). The idea was demonstrated in Tilman’s resource competition model (Figure 9.11, p.181) where the consumption vectors were considered a kind of proxy for the impact vectors. We stated that the impact and the consumption vectors would be identical (up to a factor) if the consumption vector were independent of the resource point. Unfortunately, that condition is never met, so we owe the Reader a serious analysis. Here we calculate the true impact vector in Tilman’s model and discuss, why the consumption vector is still a good proxy.