Possible solution of some essential zero problems in compositional data analysis

By J. Aitchison, J. Kay. 2003

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A latent Gaussian model for compositional data with zeros (2008, methodology): “Models to deal with the possibility that zero proportions in the data may correspond to genuine absences of the component concerned (‘structural zeros’) have also been proposed (Aitchison and Kay, 2003; Bull et al., 2004) and, in a limited number of cases, used (Bacon-Shone, 2003; Adolph, 2004).”
A Parametric Approach for Dealing with Compositional Rounded Zeros (2007, background): “Note that a zero value corresponding to a component which is truly zero, called essential or structural zero, must be treated in a different manner ( Aitchison and Kay 2004; Bacon-Shone 2003).”
Dealing with Zeros (2011, background): “On the one hand, essential zeros can be present in data sets where the components are continuous variables or percentages, for example, household or time budgets (Aitchison and Kay, 2003).”
NetCoMi: network construction and comparison for microbiome data in R (2020, background): “” [38] Assumed to be present in the sample but”