17.01.2015 Views

Continuous-space models for (ecological) population dynamics - ICMS

Continuous-space models for (ecological) population dynamics - ICMS

Continuous-space models for (ecological) population dynamics - ICMS

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Overview<br />

Moment equations, with choices<br />

More general challenges<br />

References<br />

Expected change in density<br />

We get<br />

〈<br />

〉<br />

dN(x)<br />

〈∑ 〉<br />

= (ratei · δ i )<br />

dt<br />

= f ∑ y<br />

D(x, y)〈N(y)〉<br />

− (¯µ + α〈N(x)〉)〈N(x)〉<br />

− ∑ αU(x, y)〈(N(x) − 〈N(x)〉)(N(y) − ¯N(y))〉<br />

y<br />

− 〈(µ(x) − ¯µ)N(x)〉<br />

Ben Bolker<br />

Spatial <strong>models</strong> in ecology

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!