Solving the kinetic equations for the growth rate in each case of kinetics derives analytical expressions for the mean radius and variance of size distribution.
Error analysis based on simulated data reveals that appropriate combinations of three bands centered at 450, 550, and 675 nm wavelengths and 4 scattering angles of 3°, 10°, 50°, and 120° lead to good retrieval of four dust parameters, namely, aerosol optical depth, effective radius and variance of size distribution, and volume mixing ratio of hematite.
The mean and variance was then calculated from each sample to give distributions of 100 means and variances of size n for a particular simulation scenario.
The model has proved capable of capturing the effects of the deposition parameters, including the applied electrode potential, the concentration of Cu2+ ions and the temperature on the resultant deposit microstructure, the evolution of the grain density, the grain size, the variance of grain size and the grain boundary misorientation distribution.
Using the software SPAGeDi 1.1 [57], we computed for each taxon and population two estimators of diversity across loci, one based on allele identity, the expected heterozygosity HE [58], and the other based on allele size, the variance of allele size V [59].
Consistently good agreement between prediction and experiments was achieved, especially between mean crystal size and predicted variance of crystal size distribution.
For each of the 9000 points in parameter space, we compared field (census) estimates of annual mean and variance of population size to annual mean and variance of simulated population size.
Subsequently, 2,351 animals remained in the set with litter size observations and 2,067 in the set for residual variance of litter size.
Deterministic predictions decomposed Δ F into four components due to: finite population size, directional selection, covariance of genetic contribution of mates, and deviation of variance of family size from that expected from a Poisson distribution.
This very simple method is supposed to reflect the increased effects of both inbreeding and variance of progeny size under several assumptions, including random mating, no selection and random variation of progeny size across parents.
For such enrollment levels variance of class size is mainly exogenous and we argue that this allows estimation of quasi-experimental class size effects.
