Hay & Bauer (2007) reported a positive correlation between a language's number of speakers and its phoneme inventory size; Moran, McCloy & Wright (2012) argued the effect is not robust under proper sampling and controls. QUESTION: using PHOIBLE inventories (segment counts per language/doculect) joined to open speaker-population estimates (e.g. Wikidata property P1098 via ISO-639-3/Glottocode), estimate the association between inventory size (total, and split into consonant and vowel counts) and $\log(\text{population})$, first uncontrolled and then controlling for genealogical and areal non-independence (a mixed model with family and macroarea, or a family-and-macroarea-stratified permutation test); report the sign, magnitude, and significance, and test robustness to PHOIBLE's multiple-doculect-per-language selection rule.
Acceptance. FULLY RESOLVES: join PHOIBLE 2.0 inventories to open speaker-population estimates for $\geq 300$ languages; report the uncontrolled correlation of inventory size with $\log$ population, then a controlled estimate (mixed model with family + macroarea, or stratified permutation) with coefficient sign, size, and CI, plus a robustness check across at least two PHOIBLE doculect-selection rules; ship the join + analysis script from the public CLDF/Wikidata data. PARTIAL: a faithful replication of Moran et al. (2012) on current PHOIBLE, or the uncontrolled full-sample correlation plus a family-level aggregate.
Hay & Bauer (2007, 'Phoneme inventory size and population size', Language 83:388-400) found a positive correlation; Moran, McCloy & Wright (2012, 'Revisiting population size vs. phoneme inventory size', Language 88:877-893) found it fragile; Atkinson (2011, Science 332:346-349) made a related and heavily criticized phoneme-diversity serial-founder claim. PHOIBLE 2.0 (Moran & McCloy 2019, phoible.org) is an open aggregated inventory database; open speaker counts are available via Wikidata (P1098). Whether any inventory-population signal survives modern controls on the larger current data is open and contested. Sources: Hay & Bauer 2007; Moran, McCloy & Wright 2012; PHOIBLE 2.0.