Compression principle and Zipf’s law of brevity in infochemical communication

Compression has been presented as a general principle of animal communication. Zipf's law of brevity is a manifestation of this postulate and can be generalised as the tendency of more frequent communicative elements to be shorter. Previous works supported this claim, showing evidence of Zipf's law of brevity in animal acoustical communication and human language. However, a significant part of the communicative effort in biological systems is carried out in other transmission channels, such as those based on infochemicals. To fill this gap, we seek, for the first time, shreds of evidence of this principle in infochemical communication by analysing the statistical tendency of more frequent infochemicals to be chemically shorter and lighter. We analyse data from the largest and most comprehensive open-access infochemical database known as Pherobase, recovering Zipf's law of brevity in interspecific communication (allelochemicals) but not in intraspecific communication (pheromones). Moreover, these results are robust even when addressing different magnitudes of study or mathematical approaches. Therefore, different dynamics from the compression principle would dominate intraspecific chemical communication, defying the universality of Zipf's law of brevity. To conclude, we discuss the exception found for pheromones in the light of other potential communicative paradigms such as pressures on successful communication or the Handicap principle.

Methods
The dataset was obtained crawling the Pherobase website https://www.pherobase.com/database/compound/compounds-index.php