# Math Biology Seminar: Michael Irvine

## Topic

Using spatial measures to infer underlying dynamics in clonal vegetative ecosystems

## Details

The measurement of dynamic persistence of a population has been a long standing problem in Ecology. For spatial processes, fractal measurements such as the Korcak exponent or the boundary dimension have often been proposed as indicators of the persistence of the underlying dynamics. Recently it has been shown that the value of the Korcak exponent does not necessarily correlate with persistence. I shall explore under what conditions there does exist a strong relationship between persistence and fractal measures. I show that theoretically a Korcak-persistence relationship is expected under fairly generic conditions. I will then introduce a model of spatial vegetative growth with non-local competition and use numerical simulation to elucidate this relationship and find that environmental factors strongly affect both return rate and fractal measures. The theory and model are then supported by a long-term study of Seagrass in the Scilly Isles,UK.

## Additional Information

Location: Math 126

This room has key card access. Do not be shy about banging on door. We will listen and open the door for you.

Michael Irvine,

*Warwick University*

This is a Past Event

Event Type

**Scientific, Seminar**

Date

**May 22, 2014**

Time

**-**

Location

University of British Columbia