Bifurcation diagrams for (a) the unstructured macroalgae model, and (b) the stage-structured macroalgae model, showing the steady-state coral cover (C*) as a function of the death rate of vulnerable macroalgae (dV). Solid lines represent stable equilibria, and dashed lines represent unstable equilibria. The default parameters in Table 1 were used.</p
<p>The prevalence of alternate stable states on coral reefs has been disputed, although there is uni...
Predicting where state-changing thresholds lie can be inherently complex in ecosystems characterized...
Trends in the percentage cover of macroalgae are generally used as an important indicator of the hea...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
In (a), ΔdV and there is only a single coral steady state for each value of dV. In (b) ΔdV >0 and a...
<p>The boxes show the dynamic variables in the model, which are the proportional covers of the three...
Caribbean coral reefs are widely thought to exhibit two alternate stable states with one being domin...
Abstract Caribbean coral reefs are widely thought to exhibit two alternate stable states with one be...
<p>(A) The model tracks cover for coral recruits, coral adults, macroalgae, and free space across co...
Abstract Coral reefs are among the most diverse and productive marine ecosystems and are currently t...
summary:Coral reefs can undergo relatively rapid changes in the dominant biota, a phenomenon referre...
The prevalence of alternate stable states on coral reefs has been disputed, although there is univer...
The prevalence of alternate stable states on coral reefs has been disputed, although there is univer...
<p>The prevalence of alternate stable states on coral reefs has been disputed, although there is uni...
Predicting where state-changing thresholds lie can be inherently complex in ecosystems characterized...
Trends in the percentage cover of macroalgae are generally used as an important indicator of the hea...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
Coral reef systems can undergo rapid transitions from coral-dominated to macroalgae-dominated states...
In (a), ΔdV and there is only a single coral steady state for each value of dV. In (b) ΔdV >0 and a...
<p>The boxes show the dynamic variables in the model, which are the proportional covers of the three...
Caribbean coral reefs are widely thought to exhibit two alternate stable states with one being domin...
Abstract Caribbean coral reefs are widely thought to exhibit two alternate stable states with one be...
<p>(A) The model tracks cover for coral recruits, coral adults, macroalgae, and free space across co...
Abstract Coral reefs are among the most diverse and productive marine ecosystems and are currently t...
summary:Coral reefs can undergo relatively rapid changes in the dominant biota, a phenomenon referre...
The prevalence of alternate stable states on coral reefs has been disputed, although there is univer...
The prevalence of alternate stable states on coral reefs has been disputed, although there is univer...
<p>The prevalence of alternate stable states on coral reefs has been disputed, although there is uni...
Predicting where state-changing thresholds lie can be inherently complex in ecosystems characterized...
Trends in the percentage cover of macroalgae are generally used as an important indicator of the hea...