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At group size 8 and above, no members have the property of relating to all others.
Two figures that are central for the main conclusion: your study looks at group size and reproductive success in burying beetles as a function of a temperature/elevation gradient.
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At a group size of N=33 for each placement budget, the minimal detectable hazard ratio for two-group comparison is 2.3, with a power of 0.8, a significance level of 0.05 (two-sided), an accrual interval of 12 months, a follow-up interval of 24 months and a median time of 12 months.
At lower group sizes, at or just below the threshold population density for disease persistence, the parameters of infection itself, such as disease-induced mortality and the rates of transfer between different infectious states, became more important in influencing prevalence.
For example, the influence of the transfer of females from a latent to infectious state at an equilibrium group size of 4 increased from 0.06% at an external infection probability of 0.0001 to 30% at an external infection probability of 0.01.
At an equilibrium group size of 8 individuals, the disease persisted in all simulation runs at a mean prevalence of 5%, and for an equilibrium group size of 12, the mean prevalence was 36%.
This treatment structure enabled us to make comparisons across increasing enclosure size at both constant group size and constant density.
Our study indicates that full channel knowledge is only significantly beneficial at small multicast group size.
To study how the information spreads in groups of different types, we consider the values for each of the group types separately and we compute the average values at a fixed group size, to account for any dimensionality effects.
Rather, the goal was to achieve sufficient consistency and power in methodology to identify compounds of interest to be evaluated more thoroughly in follow-up experiments and with additional in vitro results at hand. Figure 3a, c shows that indeed relevant, apparent differences between compounds are often much greater than intersubject variability at the chosen group size of three.
Consequently, our first task was to examine the scaling properties of nest spatial distribution in order to detect relevant scales at which breeding group size variation could be studied.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com