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