The mathematical analysis of the evolution of the crown-of-thorns starfish, which is found on Indo-Pacific coral reefs, was the central topic that brought together mathematicians, ecologists and oceanographers in an attempt to create a new paradigm for understanding this complex phenomenon. A wide variety of mathematical approaches are discussed in this text, from traditional qualitative stability analysis to work on Finsler spaces, grammars and adaptive systems. Together, these techniques point to a better understanding of the dynamics and stability of coral reef ecosystems.
Edited by:
Roger H. Bradbury
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Volume: 88
Dimensions:
Height: 244mm,
Width: 170mm,
Spine: 19mm
Weight: 688g
ISBN: 9783540535010
ISBN 10: 3540535012
Series: Lecture Notes in Biomathematics
Pages: 341
Publication Date: 12 February 1991
Audience:
College/higher education
,
Professional and scholarly
,
Further / Higher Education
,
Undergraduate
Format: Paperback
Publisher's Status: Active
Plenary address.- On modelling.- Global spatial models.- Dispersal and control models of Acanthaster planci populations on the Great Barrier Reef.- Great Barrier Reef hydrodynamics, reef connectivity and Acanthaster population dynamics.- A diffusion-reaction-transport model for large-scale waves in crown-of-thorns starfish outbreaks on the Great Barrier Reef.- Reef syntax: an exploratory data analysis of the Acanthaster phenomenon using strings and grammars.- Stochastic and spatial effects in predator-prey models of Acanthaster-coral interactions.- Local spatial models.- Dispersal of neutrally-buoyant material near John Brewer Reef.- Reef-scale numerical hydrodynamic modelling developed to investigate crown-of-thorns starfish outbreaks.- A numerical scheme for determining trajectories in particle models.- Cellular automata models of crown-of-thorns outbreaks.- Crowns crowding: an individual oriented model of the Acanthaster phenomenon.- Test of a model of regulation of crown-of-thorns starfish by fish predators.- Effects of predation on Acanthaster: age-structured metapopulation models.- Nonspatial models.- Applied Volterra-Hamilton systems of Finsler type: increased species diversity as a non-chemical defense for coral against the crown-of-thorns.- Persistent and transient populations of the crown-of-thorns starfish, Acanthaster planci.- What controls outbreaks?.- Transition matrix models, crown-of-thorns and corals.- The relevance of stochastic effects to the notion of Acanthaster planci as a near-optimal predator.- Nonlinear prediction of crown-of-thorns outbreaks on the Great Barrier Reef.- Rapporteurs’ report.- The Acanthaster Phenomenon: A Modelling Approach Rapporteurs’ Report.
