Evolutionary ecology in silico: Does mathematical modelling help in understanding 'generic' trends?

Area of Science:

• Ecology
• Evolutionary Biology
• Mathematical Modeling

Background:

• Recent laboratory experiments and field observations indicate that evolutionary changes occur within ecosystems over short ecological timescales.
• This has spurred the development of new mathematical models to describe ecosystem evolution.
• Older ecological and evolutionary models provide context for these recent advancements.

Purpose of the Study:

• To critically review recent 'unified' mathematical models of evolutionary ecology.
• To explain these new theories in accessible language for a broader audience.
• To place these developments in perspective by summarizing older ecological and evolutionary models.

Main Methods:

• Review of mathematical models of evolutionary ecology, particularly those from physics literature.
• Computer simulations of these models, enabled by advances in computing power.
• Summarization of historical ecological and evolutionary models.

Main Results:

• Identification and critical assessment of recent unified mathematical models in evolutionary ecology.
• Explanation of the statistical properties these models aim to describe.
• Demonstration of how computer simulations aid in understanding these models.

Conclusions:

• Unified mathematical models offer a framework for understanding rapid evolutionary changes in ecosystems.
• Accessibility of these complex theories is crucial for interdisciplinary research.
• Continued development and critical review of these models are essential for advancing evolutionary ecology.