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Estimating the Relative Proportions of SARS-CoV-2 Strains from Wastewater Samples

17 Pages Posted: 8 Feb 2022 Publication Status: Published

See all articles by Lenore Pipes

Lenore Pipes

University of California, Berkeley

Zihao Chen

Peking University

Svetlana Afanaseva

University of California, Berkeley

Rasmus Nielsen

University of Copenhagen - Centre for GeoGenetics

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Abstract

Wastewater surveillance has become essential for monitoring the spread of SARS-CoV-2. The quantification of SARS-CoV-2 RNA in wastewater correlates with the Covid-19 caseload in a community. However, estimating the proportions of different SARS-CoV-2 strains has remained technically difficult. We present a method for estimating the relative proportions of SARS-CoV-2 strains from wastewater samples. The method uses an initial step to remove unlikely strains, imputation of missing nucleotides using the global SARS-CoV-2 phylogeny, and an Expectation-Maximization (EM) algorithm for obtaining maximum likelihood estimates of the proportions of different strains in a sample. Using simulations with a reference database of >3 million SARS-CoV-2 genomes, we show that the estimated proportions accurately reflect the true proportions given sufficiently high sequencing depth and that the phylogenetic imputation is highly accurate and substantially improves the reference database.

Funding: This work used the Extreme Science and Engineering Discovery Environment (XSEDE) Bridges-2 system at the Pittsburgh Supercomputing Center through allocation BIO180028 and was supported by NIH grant 1R01GM138634-01.

Declaration of Interests: We declare that we have no known competing financial interests or personal relationships that influenced this work.

Keywords: Wastewater Surveillance, SARS-CoV-2, Expectation-Maximization, imputation

Suggested Citation

Pipes, Lenore and Chen, Zihao and Afanaseva, Svetlana and Nielsen, Rasmus, Estimating the Relative Proportions of SARS-CoV-2 Strains from Wastewater Samples. Available at SSRN: https://ssrn.com/abstract=4030057 or http://dx.doi.org/10.2139/ssrn.4030057
This version of the paper has not been formally peer reviewed.

Lenore Pipes

University of California, Berkeley ( email )

CA
United States

Zihao Chen

Peking University ( email )

No. 38 Xueyuan Road
Haidian District
Beijing, 100871
China

Svetlana Afanaseva

University of California, Berkeley ( email )

CA
United States

Rasmus Nielsen (Contact Author)

University of Copenhagen - Centre for GeoGenetics ( email )

Øster Voldgade 5-7
Copenhagen, 1350
Denmark

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