The parameters of Menzerath-Altmann law in genomes

The relationship between the size of the whole and the size of the parts in language and music is known to follow the Menzerath-Altmann law at many levels of description (morphemes, words, sentences, …). Qualitatively, the law states that the larger the whole, the smaller its parts, e.g. the longer...

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Autores: Baixeries i Juvillà, Jaume|||0000-0003-2896-2247, Hernández Fernández, Antonio|||0000-0002-9466-2704, Forns Fradera, Núria, Ferrer Cancho, Ramon|||0000-0002-7820-923X
Formato: artículo
Fecha de publicación:2013
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/19025
Acesso em linha:https://hdl.handle.net/2117/19025
https://dx.doi.org/10.1080/09296174.2013.773141
Access Level:acceso abierto
Palavra-chave:Computational linguistics
Lingüística computacional
Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Llenguatge natural
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spelling The parameters of Menzerath-Altmann law in genomesBaixeries i Juvillà, Jaume|||0000-0003-2896-2247Hernández Fernández, Antonio|||0000-0002-9466-2704Forns Fradera, NúriaFerrer Cancho, Ramon|||0000-0002-7820-923XComputational linguisticsLingüística computacionalÀrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Llenguatge naturalThe relationship between the size of the whole and the size of the parts in language and music is known to follow the Menzerath-Altmann law at many levels of description (morphemes, words, sentences, …). Qualitatively, the law states that the larger the whole, the smaller its parts, e.g. the longer a word (in syllables) the shorter its syllables (in letters or phonemes). This patterning has also been found in genomes: the longer a genome (in chromosomes), the shorter its chromosomes (in base pairs). However, it has been argued recently that mean chromosome length is trivially a pure power function of chromosome number with an exponent of -1. The functional dependency between mean chromosome size and chromosome number in groups of organisms from three different kingdoms is studied. The fit of a pure power function yields exponents between -1.6 and 0.1. It is shown that an exponent of -1 is unlikely for fungi, gymnosperm plants, insects, reptiles, ray-finned fishes and amphibians. Even when the exponent is very close to -1, adding an exponential component is able to yield a better fit with regard to a pure power-law in plants, mammals, ray-finned fishes and amphibians. The parameters of the Menzerath-Altmann law in genomes deviate significantly from a power law with a -1 exponent with the exception of birds and cartilaginous fishes.Taylor & Francis20132013-01-0120132013-04-26journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/19025https://dx.doi.org/10.1080/09296174.2013.773141reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/190252026-05-27T15:37:01Z
dc.title.none.fl_str_mv The parameters of Menzerath-Altmann law in genomes
title The parameters of Menzerath-Altmann law in genomes
spellingShingle The parameters of Menzerath-Altmann law in genomes
Baixeries i Juvillà, Jaume|||0000-0003-2896-2247
Computational linguistics
Lingüística computacional
Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Llenguatge natural
title_short The parameters of Menzerath-Altmann law in genomes
title_full The parameters of Menzerath-Altmann law in genomes
title_fullStr The parameters of Menzerath-Altmann law in genomes
title_full_unstemmed The parameters of Menzerath-Altmann law in genomes
title_sort The parameters of Menzerath-Altmann law in genomes
dc.creator.none.fl_str_mv Baixeries i Juvillà, Jaume|||0000-0003-2896-2247
Hernández Fernández, Antonio|||0000-0002-9466-2704
Forns Fradera, Núria
Ferrer Cancho, Ramon|||0000-0002-7820-923X
author Baixeries i Juvillà, Jaume|||0000-0003-2896-2247
author_facet Baixeries i Juvillà, Jaume|||0000-0003-2896-2247
Hernández Fernández, Antonio|||0000-0002-9466-2704
Forns Fradera, Núria
Ferrer Cancho, Ramon|||0000-0002-7820-923X
author_role author
author2 Hernández Fernández, Antonio|||0000-0002-9466-2704
Forns Fradera, Núria
Ferrer Cancho, Ramon|||0000-0002-7820-923X
author2_role author
author
author
dc.subject.none.fl_str_mv Computational linguistics
Lingüística computacional
Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Llenguatge natural
topic Computational linguistics
Lingüística computacional
Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Llenguatge natural
description The relationship between the size of the whole and the size of the parts in language and music is known to follow the Menzerath-Altmann law at many levels of description (morphemes, words, sentences, …). Qualitatively, the law states that the larger the whole, the smaller its parts, e.g. the longer a word (in syllables) the shorter its syllables (in letters or phonemes). This patterning has also been found in genomes: the longer a genome (in chromosomes), the shorter its chromosomes (in base pairs). However, it has been argued recently that mean chromosome length is trivially a pure power function of chromosome number with an exponent of -1. The functional dependency between mean chromosome size and chromosome number in groups of organisms from three different kingdoms is studied. The fit of a pure power function yields exponents between -1.6 and 0.1. It is shown that an exponent of -1 is unlikely for fungi, gymnosperm plants, insects, reptiles, ray-finned fishes and amphibians. Even when the exponent is very close to -1, adding an exponential component is able to yield a better fit with regard to a pure power-law in plants, mammals, ray-finned fishes and amphibians. The parameters of the Menzerath-Altmann law in genomes deviate significantly from a power law with a -1 exponent with the exception of birds and cartilaginous fishes.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01
2013
2013-04-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/19025
https://dx.doi.org/10.1080/09296174.2013.773141
url https://hdl.handle.net/2117/19025
https://dx.doi.org/10.1080/09296174.2013.773141
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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