Modern targeted amplicon sequencing technology is revolutionizing malaria genomic epidemiology. We are able to sequence more samples with greater sensitivity and precision, simultaneously detecting genetically distinct strains and markers of drug resistance in parasites with within-host relative proportions in the single digits. Rapid expansion of the technology is making sequencing of samples a routine part of malaria surveillance, with the promise of more sophisticated insight into malaria transmission dynamics and population structure. However, few statistical methods exist that take full advantage of the extra information available with amplicon sequencing compared to previous SNP based methods. New statistical methods are needed to estimate even the most basic quantities of interest, such as the multiplicity of infection (MOI) and population allele frequencies, values which serve as building blocks of more sophisticated analysis. This dissertation begins to fill this gap by developing a Bayesian approach to estimating these basic quantities which we call MOIRE. MOIRE provides a user-friendly approach to simultaneously estimate MOI and allele frequencies from polyallelic data, and further expands on this by estimating within-host relatedness, enabled by the increased resolution of amplicon sequencing. We follow on this model with a Bayesian framework for directly estimating individual to individual transmission networks from longitudinally collected malaria surveillance data. Our model, enabled by the unprecedented resolution of amplicon sequencing, is the first to provide a statistical framework that integrates genetic and epidemiological data, while allowing for superinfection to be considered.
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