A forward-looking, credit risk model that is based on financial ratios is designed to assess the financial position of rated banks.
The marginal rates are estimated as the mean of their posterior distributions, positions of rate shifts are estimated as the modal values of their posterior distributions.
Despite the weak effect of network position on rates of evolution, a much stronger effect is observed on gene duplicability.
Several models of diversification have been implemented, including the constant rate birth-death and pure-birth processes modified to account for incomplete taxon sampling [ 33], a birth-death process with continuously varying rates [ 8], and a pure-birth process with rate shifts [ 12], for which the posterior distribution of λ and the temporal position of each rate shift are jointly estimated.
Finally, our approach can be used to assign independent rates to predefined clades and is especially intended for hypothesis testing, complementing other approaches in which the rate constancy across-clades is relaxed [ 31], or in which the number and position of the rate shifts on the tree are estimated [ 14].
Instead, we used MEDUSA [ 51] implemented in GEIGER to locate the position of these rate shifts on the phylogeny.
The likelihood ratio is based on the product of the likelihoods of the branching times x i within each time frame delimited by s i-1, s i under the rate λ i : (5) L x ; λ = ∏ i = 1 n L x i ; λ i A uniform prior from 0 to the root age is assumed for the temporal position of the rate shift s.
Because the temporal position of the rate-shift is not fixed but estimated through the MCMC sampling, we summarize the marginal rates as mean value and 95% credibility interval within predefined time frames (e.g. 1 Myr intervals) from the root age to the tips of the trees and use these estimates to draw rates-through-time plots (RTT).
Kinetic analysis using stopped-flow fluorescence reveals two-state kinetics; however, nonlinear effects in the denaturant dependence of the unfolding data demonstrate changes in the position of the rate-limiting barrier along the folding coordinate as the folding conditions change.
Up until now these models have been difficult to employ because their implementations did not permit the modeling of uncertainty in (1) the phylogenetic tree topology or (2) the phylogenetic positions of the rate changes between the local clock regions.
