Dynamic ecological system analysis: A holistic analysis of compartmental systems

Area of Science:

• Ecology
• Systems Ecology
• Mathematical Biology

Background:

• Ecological systems are complex and often analyzed using static models.
• Understanding nonlinear dynamics and compartmental interactions is crucial for ecological research.
• Existing methods may not fully capture the intricate flows and storages within ecosystems.

Purpose of the Study:

• To develop a novel mathematical framework for the holistic analysis of nonlinear dynamic compartmental systems in ecology.
• To enable detailed tracking of system components, flows, and storages.
• To provide a method for quantitatively classifying interspecific interactions in food webs.

Main Methods:

• Development of dynamic system and subsystem partitioning methodologies.
• Analytical characterization, classification, and mathematical formulation of transient and dynamic direct, indirect, acyclic, cycling, and transfer (diact) flows and storages.
• Application of dynamic techniques based on diact transactions for interaction analysis.
• Extension and integration of static network analysis concepts into a dynamic framework.

Main Results:

• A method for decomposing compartmental systems to the utmost level.
• The ability to individually track stocks, inputs, flows, and storages.
• Analytical formulation of various types of dynamic flows (diact) and their associated storages.
• A dynamic technique for quantifying interspecific interactions and their strengths in food webs.

Conclusions:

• The proposed methodology offers a holistic view and analysis of ecological systems.
• This approach integrates complex systems theory with ecological analysis.
• The method has the potential to advance ecological science towards a more formalistic approach and address environmental challenges.