134 citations · 486 across the 15 of their papers we have counts for
16 papers
Boom-bust population dynamics can increase diversity in evolving competitive communities
Michael Doebeli, Eduardo Cancino Jaque, Iaroslav Ispolatov
The processes and mechanisms underlying the origin and maintenance of biological diversity have long been of central importance in ecology and evolution. The competitive exclusion…
Competition-driven evolution of organismal complexity
Iaroslav Ispolatov, Evgeniia Alekseeva, Michael Doebeli
Non-uniform rates of morphological evolution and evolutionary increases in organismal complexity, captured in metaphors like "adaptive zones", "punctuated equilibrium" and "blunder…
A note on the complexity of evolutionary dynamics in a classic consumer-resource model
Iaroslav Ispolatov, Michael Doebeli
We study how the complexity of evolutionary dynamics in the classic MacArthur consumer-resource model depends on resource uptake and utilization rates. The traditional assumption i…
Diversity and coevolutionary dynamics in high-dimensional phenotype spaces
Michael Doebeli, Iaroslav Ispolatov
We study macroevolutionary dynamics by extending microevolutionary competition models to long time scales. It has been shown that for a general class of competition models, gradual…
Individual-Based models for adaptive diversification in high-dimensional phenotype spaces
Iaroslav Ispolatov, Vaibhav Madhok, Michael Doebeli
Most theories of evolutionary diversification are based on equilibrium assumptions: they are either based on optimality arguments involving static fitness landscapes, or they assum…
Chaos in high-dimensional dynamical systems
Iaroslav Ispolatov, Michael Doebeli, Sebastian Allende +1
For general dissipative dynamical systems we study what fraction of solutions exhibit chaotic behavior depending on the dimensionality of the phase space. We find that a system…