Linguistic laws in chimpanzee gestural communication

Studies testing linguistic laws outside language have provided important insights into the organization of biological systems. For example, patterns consistent with Zipf's law of abbreviation (which predicts a negative relationship between word length and frequency of use) have been found in the vocal and non-vocal behaviour of a range of animals, and patterns consistent with Menzerath's law (according to which longer sequences are made up of shorter constituents) have been found in primate vocal sequences, and in genes, proteins and genomes. Both laws have been linked to compression—the information theoretic principle of minimizing code length. Here, we present the first test of these laws in animal gestural communication. We initially did not find the negative relationship between gesture duration and frequency of use predicted by Zipf's law of abbreviation, but this relationship was seen in specific subsets of the repertoire. Furthermore, a pattern opposite to that predicted was seen in one subset of gestures—whole body signals. We found a negative correlation between number and mean duration of gestures in sequences, in line with Menzerath's law. These results provide the first evidence that compression underpins animal gestural communication, and highlight an important commonality between primate gesturing and language.

[1]  Yanru Wang,et al.  Structural Complexity of Simplified Chinese Characters , 2015, Recent Contributions to Quantitative Linguistics.

[2]  Robert Östling,et al.  Distribution and duration of signs and parts of speech in Swedish Sign Language , 2016 .

[3]  Eduardo G. Altmann,et al.  Statistical laws in linguistics , 2015, ArXiv.

[4]  REINHARD KÖHLER,et al.  SYSTEM THEORETICAL LINGUISTICS , 1987 .

[5]  Richard N. Landers,et al.  Computing Intraclass Correlations (ICC) as Estimates of Interrater Reliability in SPSS , 2015 .

[6]  George Kingsley Zipf,et al.  Human behavior and the principle of least effort , 1949 .

[7]  J. R. Lucas,et al.  Types and tokens , 2018, A Treatise on Time and Space.

[8]  Ramon Ferrer-i-Cancho,et al.  Testing the Robustness of Laws of Polysemy and Brevity Versus Frequency , 2016, SLSP.

[9]  Hitoshige Hayaki,et al.  Social play of juvenile and adolescent chimpanzees in the Mahale Mountains National Park, Tanzania , 1985, Primates.

[10]  Wentian Li,et al.  Menzerath's law at the gene-exon level in the human genome , 2012, Complex..

[11]  Ramon Ferrer-i-Cancho,et al.  Zipf's law of abbreviation as a language universal , 2016 .

[12]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[13]  Ramon Ferrer-i-Cancho,et al.  Compression and the origins of Zipf's law of abbreviation , 2015, ArXiv.

[14]  Haruko Sanada Investigations in Japanese historical lexicology , 2004 .

[15]  J. Altmann,et al.  Observational study of behavior: sampling methods. , 1974, Behaviour.

[16]  Catherine Hobaiter,et al.  The Meanings of Chimpanzee Gestures , 2014, Current Biology.

[17]  Ramon Ferrer-i-Cancho,et al.  Size of the Whole versus Number of Parts in Genomes , 2011, Entropy.

[18]  F. James Rohlf,et al.  Biometry: The Principles and Practice of Statistics in Biological Research , 1969 .

[19]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[20]  Ramon Ferrer-i-Cancho,et al.  Gelada vocal sequences follow Menzerath’s linguistic law , 2016, Proceedings of the National Academy of Sciences.

[21]  Simon Kirby,et al.  Zipf’s Law of Abbreviation and the Principle of Least Effort: Language users optimise a miniature lexicon for efficient communication , 2017, Cognition.

[22]  David Lusseau,et al.  Efficient coding in dolphin surface behavioral patterns , 2009, Complex..

[23]  Ricard V. Solé,et al.  Genome size, self-organization and DNA's dark matter , 2010, Complex..

[24]  M. Špinka,et al.  Animal play and animal welfare , 2011, Animal Behaviour.

[25]  J. Hayashi [Sampling methods]. , 1982, Josanpu zasshi = The Japanese journal for midwife.

[26]  Christopher B. Scott A Primer for the Exercise and Nutrition Sciences , 2008 .

[27]  Ramon Ferrer-i-Cancho,et al.  The self-organization of genomes , 2010, Complex..

[28]  Barron Brainerd,et al.  On the relation between types and tokens in literary text , 1972, Journal of Applied Probability.

[29]  G. Zipf The Psycho-Biology Of Language: AN INTRODUCTION TO DYNAMIC PHILOLOGY , 1999 .

[30]  Jiang Feng,et al.  Brevity is prevalent in bat short-range communication , 2013, Journal of Comparative Physiology A.

[31]  David Lusseau,et al.  Compression as a Universal Principle of Animal Behavior , 2013, Cogn. Sci..

[32]  Govindasamy Agoramoorthy,et al.  Efficiency of coding in macaque vocal communication , 2010, Biology Letters.

[33]  Khuram Shahzad,et al.  The organization of domains in proteins obeys Menzerath-Altmann’s law of language , 2015, BMC Systems Biology.

[34]  R. Ferrer i Cancho,et al.  Zipf's law from a communicative phase transition , 2005 .

[35]  Ramon Ferrer-i-Cancho,et al.  The placement of the head that maximizes predictability. An information theoretic approach , 2017, Glottometrics.

[36]  Ramon Ferrer-i-Cancho,et al.  Compression and the origins of Zipf's law for word frequencies , 2016, Complex..

[37]  M. E. Laidre,et al.  The Gestural Communication of Apes and Monkeys, Josep Call, Michael Tomasello (Eds.). Erlbaum, Mahwah, New Jersey (2007), Pp. viii + 256. Price $34.95. , 2009 .

[38]  Ramon Ferrer-i-Cancho,et al.  The challenges of statistical patterns of language: The case of Menzerath's law in genomes , 2012, Complex..

[39]  Klaus Zuberbühler,et al.  Trade-offs in the production of animal vocal sequences: insights from the structure of wild chimpanzee pant hoots , 2017, Frontiers in Zoology.

[40]  Catherine Hobaiter,et al.  Serial gesturing by wild chimpanzees: its nature and function for communication , 2011, Animal Cognition.

[41]  Dennis R. Ridley Zipf's Law in transcribed speech , 1982 .

[42]  Klaus Zuberbühler,et al.  Multi-Modal Use of a Socially Directed Call in Bonobos , 2014, PloS one.

[43]  Ramon Ferrer-i-Cancho,et al.  The Failure of the Law of Brevity in Two New World Primates. Statistical Caveats. , 2012, ArXiv.

[44]  Ramon Ferrer-i-Cancho,et al.  When is Menzerath-Altmann law mathematically trivial? A new approach , 2014, Statistical applications in genetics and molecular biology.

[45]  R. Byrne,et al.  The gestural repertoire of the wild chimpanzee , 2011, Animal Cognition.

[46]  Sergio M. Pellis,et al.  On knowing it's only play: The role of play signals in play fighting , 1996 .

[47]  M. Arbib,et al.  Primate Vocalization, Gesture, and the Evolution of Human Language , 2008, Current Anthropology.

[48]  A. Radford,et al.  Brevity is not always a virtue in primate communication , 2011, Biology Letters.

[49]  Ramon Ferrer-i-Cancho,et al.  The Law of Brevity in Macaque Vocal Communication is not an Artefact of Analysing Mean Call Durations∗ , 2013, J. Quant. Linguistics.