Modeling Coral Reef Bleaching Recovery Through KCC-Theory

TL;DR

This paper applies Volterra-Hamilton systems theory and KCC-invariants to model coral reef recovery, revealing that production costs remain unchanged during the recovery process and providing a geometric understanding of coral-algae interactions.

Contribution

It introduces a novel application of KCC-theory to coral reef recovery modeling, offering new insights into the dynamics of symbiotic interactions.

Findings

Production cost remains constant during recovery

KCC-invariants characterize coral-algae interactions

Model provides geometric insights into reef dynamics

Abstract

We use Volterra-Hamilton systems theory and their associated cost functional to study the population dynamics and productive processes of coral reefs in recovery from bleaching and show that the cost of \mbox{production} remains the same after the process. The geometrical KCC-invariants are determined for the model proposed to describe the renewed symbiotic interaction between coral and algae.