Dispersal and spatial heterogeneity: single species.

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Previous models showed heterogeneous environments increase population biomass.
• Existing proofs were limited to single-parameter reaction terms.

Purpose of the Study:

• To investigate if heterogeneous environments increase population biomass with a more realistic logistic model.
• To analyze the impact of correlated intrinsic growth rates and carrying capacities on population biomass.

Main Methods:

• Utilized reaction-diffusion equations with a two-parameter logistic term (r(x) and K(x)).
• Analyzed scenarios with proportional and positively correlated r(x) and K(x).
• Focused on cases with small dispersal rates.

Main Results:

• The result of higher equilibrium biomass in heterogeneous environments holds for logistic models.
• This effect is confirmed for positively correlated intrinsic growth rates and carrying capacities.
• The findings are relevant for both natural and laboratory population systems.

Conclusions:

• Heterogeneous environments can significantly enhance total population biomass.
• The study provides a more robust theoretical basis for ecological understanding.
• Implications for population theory and conservation ecology are discussed.