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Modelling the Diachronic Emergence of Phoneme Frequency Distributions

arXiv cs.CL / 3/11/2026

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Key Points

  • The paper introduces a stochastic model to simulate the diachronic evolution of phoneme frequency distributions, aiming to explain robust statistical regularities observed across languages.
  • Initial model iterations replicate the general shape of phoneme rank-frequency distributions but miss other important empirical properties.
  • By incorporating functional load effects and a stabilizing tendency toward preferred phoneme inventory sizes, the model successfully reproduces observed phoneme distributions and the negative correlation between inventory size and relative entropy.
  • The study suggests that these statistical regularities in phonological systems may emerge naturally from historical sound changes rather than from deliberate optimization mechanisms.
  • This work provides deeper insights into the origins and maintenance of phoneme frequency patterns in language evolution through computational modelling.

Computer Science > Computation and Language

arXiv:2603.09503 (cs)
[Submitted on 10 Mar 2026]

Title:Modelling the Diachronic Emergence of Phoneme Frequency Distributions

View a PDF of the paper titled Modelling the Diachronic Emergence of Phoneme Frequency Distributions, by Ferm\'in Moscoso del Prado Mart\'in and Suchir Salhan
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Abstract:Phoneme frequency distributions exhibit robust statistical regularities across languages, including exponential-tailed rank-frequency patterns and a negative relationship between phonemic inventory size and the relative entropy of the distribution. The origin of these patterns remains largely unexplained. In this paper, we investigate whether they can arise as consequences of the historical processes that shape phonological systems. We introduce a stochastic model of phonological change and simulate the diachronic evolution of phoneme inventories. A naïve version of the model reproduces the general shape of phoneme rank-frequency distributions but fails to capture other empirical properties. Extending the model with two additional assumptions -- an effect related to functional load and a stabilising tendency toward a preferred inventory size -- yields simulations that match both the observed distributions and the negative relationship between inventory size and relative entropy. These results suggest that some statistical regularities of phonological systems may arise as natural consequences of diachronic sound change rather than from explicit optimisation or compensatory mechanisms.
Subjects: Computation and Language (cs.CL)
Cite as: arXiv:2603.09503 [cs.CL]
  (or arXiv:2603.09503v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2603.09503
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arXiv-issued DOI via DataCite

Submission history

From: Fermín Moscoso Del Prado Martín [view email]
[v1] Tue, 10 Mar 2026 11:06:28 UTC (1,187 KB)
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