Monarch butterfly spatially discrete advection model

Area of Science:

• Ecology
• Population Dynamics
• Mathematical Biology

Background:

• The Monarch butterfly (Danaus plexippus) exhibits complex annual migration patterns involving multiple generations.
• Understanding population cycles requires integrating migratory and local breeding dynamics.
• Intraspecific competition strategies vary across Monarch generations.

Purpose of the Study:

• To model Monarch butterfly population dynamics using a discrete-time island chain model.
• To investigate the effects of generational reproductive strategies and intraspecific competition on migration and population persistence.
• To explore how fluctuating patterns and multiple attractors influence long-term Monarch survival.

Main Methods:

• Developed a discrete-time island chain model for Monarch butterfly migration and local dynamics.
• Incorporated diverse fecundity functions to represent contest and scramble competition.
• Analyzed the impact of stage structure and generation-dependent strategies on population dynamics.

Main Results:

• The model demonstrates that generational differences in reproductive strategies and competition influence the size of the migratory population.
• Fluctuating population patterns and multiple attractors were observed, indicating complex population dynamics.
• The study highlights the critical role of intraspecific competition in shaping Monarch population persistence.

Conclusions:

• Generationally dependent intraspecific competition significantly affects Monarch butterfly population cycles and migratory behavior.
• The developed model provides insights into the factors driving Monarch population fluctuations and long-term viability.
• Understanding these dynamics is crucial for conservation efforts aimed at preserving migratory Monarch populations.