Additional Table 3. the Matrix Entries for the Stage-Classified Population Matrices Of

Additional Table 3. The matrix entries for the stage-classified population matrices of A. gambiae. The matrix entries were estimated for each of the 27 experimental combinations of group, environment, and genotype using the life cycle parameters in Additional file 2. Let stage i denote any of the six stages in the life cycle of A. gambiae: eggs, larvae, pupae, virgin, mated, and gravid females. The proportion of individuals in stage i that reached the next stage (pi; equivalent to the life cycle parameters in Additional file 2), the duration of the stage in days (Ti), and the population growth rate () were used to calculate the daily probability of survival for that stage (i), the proportion of individuals in the last day of that stage (i), and the daily probability that an individual either remains in that stage (Pi) or graduates to the next stage (Gi). For stage i, i = (pi)(1/Ti), i = (i/Ti – i/(Ti – 1))/(i/Ti – 1), Pi = i*(1 – i), and Gi = i*i, respectively (equations 6.101, 6.97, and 6.98 in Caswell 2001). For example, for the black, uninfected, control genotype, the proportion of eggs that reached the larval stage peggs = 0.609, Teggs = 2 days, and  = 1.083 day-1. The daily survival rate eggs = (peggs)(1/Teggs) = 0.609(1/2 days) = 0.781 day-1, the proportion of eggs in the last day of the egg stage eggs = (eggs/Teggs – eggs/(Teggs – 1))/(eggs/Teggs – 1) = (0.781/1.0832 – 0.781/1.083(2 – 1))/(0.781/1.0832 – 1) = 0.419, the daily probability that an egg remains in the egg stage Peggs = eggs*(1 – eggs) = 0.781*(1 – 0.419) = 0.454 day-1, and the daily probability that an egg reaches the larval stage Geggs = eggs*eggs = 0.781*0.419 = 0.327 day-1. The fertility of gravid females is calculated as Fgravid = Ggravid*eggs.tot*p.lay*p.fem, where Ggravid is the probability that a gravid female survives oviposition and reaches the mated stage, eggs.tot is the total number of eggs produced per female, p.lay is the proportion of eggs laid, and p.fem is the proportion of female eggs.