Applying eigenvalue perturbation theory (EPT) to select optimum networks of protected areas based on connectivity

Optimal networks of nature reserves can be found through eigenvalue perturbation theory of the connectivity matrix

Jacobi, Martin Nilsson, and Per R. Jonsson

Volume 21, Issue 5 (July 2011) Ecological Applications

A functional network of protected areas is sine qua non for optimal conservation and management of natural resources and biodiversity. Improved criteria to select functional networks of protected areas assume great significance.

Usually connectivity within networks due to dispersal gets scant attention. This is partly because it is unclear how connectivity information can be included in the selection of protected areas.

In this paper the authors present what they claim a novel and general method that applies eigenvalue perturbation theory (EPT) to select optimum networks of protected areas based on connectivity.

The authors say at low population densities, characteristic of threatened populations, this procedure selects networks that maximize the growth rate of the overall network. They claim their method offers an improved link between connectivity and metapopulation dynamics.

The framework designed by the researchers is applied to connectivities estimated for marine larvae. It amply demonstrates that, for open populations, the best strategy is to protect areas acting as both strong donors and recipients of recruits.

The researchers sign off saying,  “It should be possible to implement an EPT framework for connectivity analysis into existing holistic tools for design of protected areas.