Integral Analysis of Diversity Based on Hill Numbers
Alpha diversity
Beta dissimilarity
OTU/ASV copy number filtering
Sørensen-type overlap
Depth coverage assessment
Sequencing depth filtering
Multi-level diversity partitioning
Diversity profile
Diversity profile plot
Diversity test
Diversity test plotting
Gamma diversity
Hill numbers computation
Diversity index computation
Check if hierachy is nested
Match data
Pairwise dissimilarity
Pairwise dissimilarity plot
Jaccard-type turnover-complement
Hill numbers computation
Tree depth
Total Sum Scaling normalisation
Jaccard-type overlap
Sørensen-type turnover-complement
Tools for analysing, comparing, visualising and partitioning diversity based on Hill numbers. 'hilldiv' is an R package that provides a set of functions to assist analysis of diversity for diet reconstruction, microbial community profiling or more general ecosystem characterisation analyses based on Hill numbers, using OTU/ASV tables and associated phylogenetic trees as inputs. The package includes functions for (phylo)diversity measurement, (phylo)diversity profile plotting, (phylo)diversity comparison between samples and groups, (phylo)diversity partitioning and (dis)similarity measurement. All of these grounded in abundance-based and incidence-based Hill numbers. The statistical framework developed around Hill numbers encompasses many of the most broadly employed diversity (e.g. richness, Shannon index, Simpson index), phylogenetic diversity (e.g. Faith's PD, Allen's H, Rao's quadratic entropy) and dissimilarity (e.g. Sorensen index, Unifrac distances) metrics. This enables the most common analyses of diversity to be performed while grounded in a single statistical framework. The methods are described in Jost et al. (2007) <DOI:10.1890/06-1736.1>, Chao et al. (2010) <DOI:10.1098/rstb.2010.0272> and Chiu et al. (2014) <DOI:10.1890/12-0960.1>; and reviewed in the framework of molecularly characterised biological systems in Alberdi & Gilbert (2019) <DOI:10.1111/1755-0998.13014>.
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