Table 1 Model variables.
From: The evolution of biogeochemical recycling by persistence-based selection
Model variable | Meaning and units |
|---|---|
\({N}_{q,j}\left(t\right)\) | Number of individuals of genotype \(j\) in species \(q\) at time \(t\) |
\({\rho }_{q,j}\left(t\right)\) | Number of pre-reproduction starvations within genotype \(j\), species \(q\) at time \(t\) |
\({G}_{q,j}\left(t\right)\) | Growth rate (genotype \(j\), species \(q\) at time \(t\)). Number of offspring individuals produced per parent individual. |
\({{{{{{\rm{{\Upsilon }}}}}}}}_{q,j}\left(t\right)\) | Total mutations away from genotype \(j\) to other genotypes produced by genotype \(j\), species \(q\) at time \(t\). Number of offspring individuals. |
\({{{{{{\rm{{\Upsilon }}}}}}}}_{q,k\ne j}\left(t\right)\) | Total mutations to genotype \(j\) from other genotypes, within species \(q\) at time \(t\). Number of offspring individuals. |
\({\delta }_{q,j}\left(t\right)\) | Total deaths due to factors other than insufficient environmental substance genotype \(j\), species \(q\) time \(t\) (i.e. “drift”). Number of individuals. |
\({S}_{q}\left(t\right)\) | Total number of individuals of species \(q\) (of any genotype). |
\({\varphi }_{{R}_{q}}(t)\) | Net abiotic influx of environmental substance \({R}_{q}\) at time \(t\). Units of environmental substance per generation. |
\(\frac{\partial {t}_{{geo}}}{\partial {t}_{{bio}}}(t)\) | Model forcing mapping between abiotic/geological time scales and evolutionary/biological timescales. For simulations shown either \(\frac{\partial {t}_{{geo}}}{\partial {t}_{{bio}}}\left(t\right)=1\) or \(\frac{\partial {t}_{{geo}}}{\partial {t}_{{bio}}}\left(t\right)=0\), or discrete switching between the two. Dimensionless scaling factor. |
\({A}_{{R}_{q}}\left(t\right)\) | Total units of environmental substance \({R}_{q}\) assimilated by the biota at time \(t\). |
\({P}_{q,{prod}}\left(t\right)\) | Production rate of environmental substance \({R}_{q}\) per producer-genotype individual within species \(q\) at time \(t\). |
\({P}_{{R}_{q}{NET}}\left(t\right)\) | Total units of environmental substance \({R}_{q}\) produced by the biota at time \(t\). |
\({T}_{{R}_{q}}\left(t\right)\) | Residence time of environmental substance \({R}_{q}\) (average number of biological generations between entry to and exit from the pool of this substance for a typical unit of this substance). |
\({{CR}}_{{R}_{q}}\left(t\right)\) | Cycling ratio of environmental substance \({R}_{q}\) (ratio between the flux of this substance through the biosphere and the entry of this substance into the biosphere from the outside) |
