A COEVOLUTIONARY ISOMORPHISM APPLIED TO LABORATORY STUDIES OF COMPETITION.

Area of Science:

• Ecology
• Evolutionary Biology
• Quantitative Genetics

Background:

• The Lotka-Volterra model is a cornerstone for understanding interspecies competition.
• Coevolutionary models offer an evolutionary perspective on competitive dynamics.
• Classical competition studies often assume constant competition coefficients.

Purpose of the Study:

• To explore the empirical consequences of an isomorphism between Lotka-Volterra and coevolutionary competitive models.
• To provide alternative interpretations for classical competition experiments.
• To connect ecological competition theory with quantitative genetics.

Main Methods:

• Developed an isomorphism between Lotka-Volterra and coevolutionary competitive models.
• Analyzed the mathematical inequalities associated with competitive outcomes in both models.
• Applied the isomorphism to explain competitive exclusion, coexistence, and indeterminacy in Tribolium.

Main Results:

• Demonstrated a one-to-one correspondence between the inequalities of the two models.
• Showed that Lotka-Volterra model inequalities involve competition coefficients, while coevolutionary model inequalities involve genetic variances and covariances.
• Derived evolutionary hypotheses where genetic factors, rather than constant coefficients, determine competitive outcomes.

Conclusions:

• The isomorphism suggests competition coefficients are variables influenced by genetic factors.
• Offers new evolutionary hypotheses for phenomena like competitive indeterminacy.
• Integrates ecological competition theory with quantitative genetics and evolutionary principles.