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probabilistic model for metagenomics

Does anyone know some probabilistic models allowing calculations such as the average amount of data required to cover entire target species genomes, coverage and contig size in metagenomic project? i'm already aware of the steven's theorem generalization (coverage assessment and contig size), but with this model i cannot compute the expected amount of data required to cover full-length genome of target species.

metagenomics mathematics coverage

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