A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

By Sarah P. Otto, Troy Day. 2007

620 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0959fdee1f684f835a0d5bcdbc50757b04a0ed29

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In Genetics

Citations in the corpus

The macroevolutionary consequences of phenotypic integration: from development to deep time (2014, background): “To do so, we constructed a threshold model for character state evolution that was dependant on the change in an underlying continuous variable [127].”
Safety in numbers: the dilution effect and other drivers of group life in the face of danger (2016, methodology): “Then, using a Taylor approximation (Otto and Day 2007) of the exponential function, we recover an approximation that resembles the simpler form of Eq.”
Definition and estimation of vital rates from repeated censuses: Choices, comparisons and bias corrections focusing on trees (2017, background): “This appears to be a general discrete time population model (Otto & Day, 2007).”
How to quantify competitive ability (2018, background): “…a particular set of focal species, whether that be, for example, competition for space at the germination/establishment phase, or competition across spatially or temporally varying environments (see Bolker, 2008; Otto & Day, 2007, for a general introduction to model specification and fitting).”
Stage, age and individual stochasticity in demography (2009, background): “Tuljapurkar and Horvitz (2006), whose paper I highly recommend, work directly from (69) to develop the means and variances of N, h, and survivorship, in periodic, iid, and Markovian environments.”
Do Eco-Evo Feedbacks Help Us Understand Nature? Answers From Studies of the Trinidadian Guppy (2014, background): “Joint dynamics occur when (a) different genetically based phenotypes have different effects on ecological variables and (b) the selection coefficients generated by the feedback loop from the ecological variables to the fitness of those phenotypes are large (Otto and Day, 2007).”
The Lambert W function in ecological and evolutionary models (2016, background): “…and yt) depend on (i) the rate of successful mate-finding events, which is determined by the product of the numbers of males and females (‘mass action’: Hutchinson & Waser 2007; Otto & Day 2007) multiplied by an encounter rate parameter a, and (ii) on a mortality rate l per actively searching male.”