Diversity dynamics.

Abstract

<p>The grey shaded area shows the the time course of the population diversity <math><mrow><mi>D</mi><mo>=</mo><mn>1</mn><mo>/</mo><msub><mo>∑</mo><mi>i</mi></msub><msubsup><mi>P</mi><mi>i</mi><mn>2</mn></msubsup></mrow></math> in our model with <i>N</i> = 1000 and <i>γ</i> = 10⁻¹². Purple dashed lines mark the beginnings of diversity waves when a collapse of the dominant species with <i>P</i>_<i>max</i> ≃ 1 leads to an abrupt increase in population diversity from ∼ 1 to ∼ <i>N</i>. The diversity subsequently decreases ∝ exp(−<i>t</i>/<i>N</i>) (dash-dotted line).</p