Note. Prior to 1980
there were many papers published examining the mathematical basis for the ecological principle
of competitive exclusion. It was generally believed that there was a mathematical theorem that
could be interpreted to conclude that, if n species coexisted competing for k
resources, then n could not exceed k. This paper shows that this conclusion
is false if one does not demand that coexistence occurs at constant population densities.

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Reprints are available for download to subscribers from the journal website: doi: 10.1086/283553