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. 2013 Jan 31;7(6):1080–1091. doi: 10.1038/ismej.2013.3

Table 1. Models of the evolutionary trajectory of a community.

Model Parameters
Expected ratio (r) at time t
  Initial MT:LT ratio (r0) Waiting time (tw) Slope of change in ratio (m) Steady-state ratio of two ecotypes (r)  
Null Yes No No No r=r0 over all times
Single-ecotype Yes Yes Yes No r=r0 until time tw; log r=log r0+m (t - tw) after tw
Multi-ecotype Yes Yes Yes Yes r=r0 until time tw; log r=log r0+m (t - tw) after tw and before r reaches r; r=r after r reaches r

The initial-ratio parameter r0 was estimated directly from the initial MT and LT colony counts; the parameters for waiting time (tw), slope (m) and the steady-state ratio (r) were estimated to fit the observed trajectories of MT:LT ratio with maximum likelihood, as described in the text. The likelihood of the model yielding an observed ratio at a given time was based on the empirical Gaussian distribution of the ratio (Supplementary Figure 1). Yes and no indicate whether a parameter was included within a given model.