A k-spine decomposition with change of measure yields an explicit characterization of uniform genealogical sampling in multitype continuous-time Bienaymé-Galton-Watson trees.
Harris, Samuel G
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For critical multitype Bienaymé-Galton-Watson processes, sample genealogies under two type-dependent sampling schemes converge in the large-time limit to a universal tree structure identical to the single-type case, with type labels decoupled from the tree except at split times.
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Uniform sampling of multitype continuous-time Bienaym\'e-Galton-Watson trees
A k-spine decomposition with change of measure yields an explicit characterization of uniform genealogical sampling in multitype continuous-time Bienaymé-Galton-Watson trees.
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Sampling schemes of multitype continuous-time Bienaym\'e-Galton-Watson trees and limiting critical genealogies
For critical multitype Bienaymé-Galton-Watson processes, sample genealogies under two type-dependent sampling schemes converge in the large-time limit to a universal tree structure identical to the single-type case, with type labels decoupled from the tree except at split times.