The phrase "ancestral process" is correct and usable in written English.
It can be used in contexts discussing heritage, evolution, or traditional methods passed down through generations.
Example: "The ancestral process of farming has been refined over centuries, adapting to the changing environment."
Alternatives: "heritage method" or "traditional process."
While D. discoideum development is strictly multicellular, many dictyostelids in groups 1 3, have retained the ancestral process of encystation, in addition to fruiting body formation, and are thus ideally suited to investigate how cellular communication systems adapted during the transition to multicellularity.
It is the limiting ancestral process for a diverse array of population models [20], [21].
We now consider the ancestral process of two lineages sampled randomly without replacement from the population.
We analyze the backward-time ancestral process, and prove convergence to a continuous-time coalescent process.
Then the scaled ancestral process can be shown to converge to a stochastic time change of the Kingman's coalescent [48], [49].
The ancestral process for seed banks also includes both a fast time-scale "configuration process" and coalescence events in a slow time scale.
Thus, these ancestral processes are more complex than the Kingman coalescent since coalescent events may happen on two separate timescales and simultaneous multiple mergers likely occur.
On the other hand, many uncorrelated trees can be formed to represent the ancestral processes of a large region such as the entire genome.
Thus, a method for estimating historical patterns of divergences across taxa should explicitly model the stochastic mutational and ancestral processes that generate and filter the genetic variation we observe in present-day genetic data.
An appealing approach would be a comparative, Bayesian model-choice method for inferring the probability of competing divergence histories while integrating over uncertainty in mutational and ancestral processes via models of nucleotide substitution and lineage coalescence.
Hence, relatively subtle population structure, such as that found in samples from geographically proximate European countries, is sufficient to create similarities in the underlying ancestral processes that can be captured by the tree-building algorithm and can result in improved reference panel selection.
