An Illustrated Guide to Theoretical Ecology

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Deciphering microbial interactions and detecting keystone species with co-occurrence networks (2014, methodology): “…follows the form: dxi dt = rixi ( 1 − Ax ki ) where for any species i drawn from a meta-community, x is the vector of species abundances, ri is growth rate of species i, ki is the carrying capacity of species i, and A is a matrix containing interaction coefficients between species (Case, 2000).”
Does functional redundancy exist (2004, methodology): “Stable equilibrium coexistence is achieved between the two species if and only if (Case 2000):”
Variability in interaction strength and implications for biodiversity (2002, background): “May (1972, 1974) studied random Jacobian matrices (confusingly, these are also referred to as community matrices; Case 2000) from which the stability of the equilibrium could be inferred.”
Ecological Models and Data in R (2008, background): “Case (1999) provides an illustrated treatment of theory, while Roughgarden (1997) integrates ecological theory with programming examples in MATLAB.”
Urban bird declines and the fear of cats (2007, background): “where B is the density of the bird species, C is the cat density, b0 is the maximum number of bird offspring, h is the strength of intra-specific density dependence, d is the intrinsic, density-independent death rate, a is the attack rate by cats on birds, aB is a Type I functional response (Case, 2”