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    Area of Science:

    • Computational Biology
    • Phylogenetics
    • Bioinformatics

    Background:

    • Gene trees often differ from species trees due to evolutionary events like gene duplication, horizontal gene transfer, gene loss, and coalescence.
    • Reconciliation methods, particularly those using maximum parsimony, are employed to resolve topological incongruence between gene and species trees.
    • The space of maximum parsimony reconciliations (MPRs) under the duplication-loss-coalescence (DLC) model is not well understood.

    Purpose of the Study:

    • To develop algorithms for computing the size of the MPR space under the DLC model.
    • To create algorithms for sampling uniformly at random from the MPR space under the DLC model.
    • To provide the first insights into the MPR space under the DLC model using a biological data set.

    Main Methods:

    • Development of novel algorithms for MPR space computation and sampling.
    • Analysis of algorithm runtime complexity, demonstrating fixed-parameter tractability.
    • Application of the developed methods to a real-world biological data set.

    Main Results:

    • The developed algorithms are efficient, with runtime polynomial in tree size for a fixed number of genes per species.
    • The study provides the first computational insights into the MPR space under the DLC model.
    • Plurality reconciliation and its associated evolutionary events appear to be representative of the overall MPR space.

    Conclusions:

    • The new algorithms efficiently address the challenge of understanding MPR space under the DLC model.
    • The findings offer a significant advancement in the field of phylogenetic reconciliation.
    • The study highlights the potential of plurality reconciliation as a representative model for evolutionary events.