The Failure of the Law of Brevity in Two New World Primates. Statistical Caveats.

Abstract Parallels of Zipf’s law of brevity, the tendency of more frequent words to be shorter, have been found in bottlenose dolphins and Formosan macaques. Although these findings suggest that behavioral repertoires are shaped by a general principle of compression, common marmosets and golden-backed uakaris do not exhibit the law. However, we argue that the law may be impossible or difficult to detect statistically in a given species if the repertoire is too small, a problem that could be affecting golden backed uakaris, and show that the law is present in a subset of the repertoire of common marmosets. We suggest that the visibility of the law will depend on the subset of the repertoire under consideration or the repertoire size.

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

[2]  E. P. Animal Behaviour , 1901, Nature.

[3]  Jack P. Hailman,et al.  A model of repetitive behaviour illustrated by chickadee calling , 1978, Animal Behaviour.

[4]  LAURANCE R. DOYLE,et al.  Quantitative tools for comparing animal communication systems: information theory applied to bottlenose dolphin whistle repertoires , 1999, Animal Behaviour.

[5]  David Salomon,et al.  Data Compression: The Complete Reference , 2006 .

[6]  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.

[7]  R. H. Wiley Signal Transmission in Natural Environments , 2009 .

[8]  J. Hailman,et al.  The ‘chick-a-dee’ calls of Parus atricapillus: A recombinant system of animal communication compared with written English , 1985 .

[9]  Walter L. Smith Probability and Statistics , 1959, Nature.

[10]  H. Slabbekoorn Animal Communication: Long-Distance Signaling , 2006 .

[11]  Jack P. Hailman,et al.  Constraints on the Structure of Combinatorial “Chick-a-dee” Calls , 1987 .

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

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

[14]  R. Conner,et al.  Vocalizations of Common Ravens in Virginia , 1985 .

[15]  S. Levinson,et al.  The myth of language universals: language diversity and its importance for cognitive science. , 2009, The Behavioral and brain sciences.

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

[17]  Gabriel Altmann,et al.  Word Length and Word Frequency , 2007 .

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

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

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

[21]  B. MacWhinney The CHILDES project: tools for analyzing talk , 1992 .

[22]  D. Todt,et al.  Acoustic communication in noise: regulation of call characteristics in a New World monkey , 2004, Journal of Experimental Biology.

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

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

[25]  H. Brumm,et al.  Acoustic Communication in Noise , 2005 .

[26]  Miriam Lanskoy,et al.  From the Database , 1997 .

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

[28]  Ramon Ferrer-i-Cancho,et al.  A Law of Word Meaning in Dolphin Whistle Types , 2009, Entropy.