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Live Imaging of Microtubule Dynamics in Glioblastoma Cells Invading the Zebrafish Brain

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How to Invade an Ecological Network.

Cang Hui¹, David M Richardson²

¹Centre for Invasion Biology, Department of Mathematical Sciences, Stellenbosch University, Matieland 7602, South Africa; Mathematical and Physical Biosciences, African Institute for Mathematical Sciences, Cape Town 7945, South Africa.

Trends in Ecology & Evolution

|December 6, 2018

Summary

This summary is machine-generated.

Biological invasions are unpredictable. This study proposes viewing them as complex adaptive networks, linking invasion success to network stability and suggesting a new analysis method focusing on focal species networks.

Keywords:

adjacency matrix biological invasions focal species-centric network growth–density covariance network invasibility network stability principal component analysis

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Area of Science:

Ecology
Network Theory
Invasion Biology

Background:

Biological invasions present a paradox of low predictability despite identifiable influencing factors.
Current models often use a linear filtering approach, which may not capture the complexity of invasion dynamics.

Purpose of the Study:

To propose a new foundational metaphor for biological invasions, shifting from linear filters to complex adaptive networks.
To link invasion performance and invasibility to network stability and topology.
To introduce a novel analytical tool for understanding species responses to invasions.

Main Methods:

Conceptual shift from linear filtering to complex adaptive networks.
Linking invasion dynamics to network stability criteria in complex systems.
Proposing the major axis of the adjacency matrix as a 'wind vane' for invaded networks.

Main Results:

Invasion performance and invasibility are directly related to the loss of network stability.
Network topology influences invasion dynamics through constraints on stability emergence.
The proposed 'wind vane' method reveals dynamic species responses within invaded networks.

Conclusions:

Viewing biological invasions through the lens of complex adaptive networks offers greater explanatory power.
Network stability is a critical factor determining invasion success.
Future research should focus on network-centric analyses centered on focal species rather than broad macroecological comparisons.