Finite size scaling in the local abundances of geographic populations

We analyzed the statistical distribution of intra-specific local abundances for a set North American breeding bird species. We constructed frequency plots for every species and found that they showed long-tail power-law behavior, truncated at an upper abundance cut-off value. Based on finite size sc...

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Autores principales:	Abades,Sebastián R, Marquet,Pablo A
Lenguaje:	English
Publicado:	Sociedad de Biología de Chile 2011
Materias:	finite size scaling geographic population data collapse truncated power-law Bose-Einstein distribution scaling
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602011000100013
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spelling	oai:scielo:S0716-976020110001000132011-09-01Finite size scaling in the local abundances of geographic populationsAbades,Sebastián RMarquet,Pablo A finite size scaling geographic population data collapse truncated power-law Bose-Einstein distribution scaling We analyzed the statistical distribution of intra-specific local abundances for a set North American breeding bird species. We constructed frequency plots for every species and found that they showed long-tail power-law behavior, truncated at an upper abundance cut-off value. Based on finite size scaling arguments, we investigated whether frequency curves may be considered scaled copies of each other. Data collapse was possible after taking powers of the total abundance of each species, in order to correct deviations from the underlying universal finite size scaling function (UFSS). The UFSS power law exponent oscillated in time within the regime of unbounded variance, which is consistent with the wild fluctuations that characterize ecological phenomena. We speculate that our results may eventually be linked to other law-like macroecological phenomena, such as energetic constraints reported in allometric scaling.info:eu-repo/semantics/openAccessSociedad de Biología de ChileBiological Research v.44 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602011000100013en10.4067/S0716-97602011000100013
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	finite size scaling geographic population data collapse truncated power-law Bose-Einstein distribution scaling
spellingShingle	finite size scaling geographic population data collapse truncated power-law Bose-Einstein distribution scaling Abades,Sebastián R Marquet,Pablo A Finite size scaling in the local abundances of geographic populations
description	We analyzed the statistical distribution of intra-specific local abundances for a set North American breeding bird species. We constructed frequency plots for every species and found that they showed long-tail power-law behavior, truncated at an upper abundance cut-off value. Based on finite size scaling arguments, we investigated whether frequency curves may be considered scaled copies of each other. Data collapse was possible after taking powers of the total abundance of each species, in order to correct deviations from the underlying universal finite size scaling function (UFSS). The UFSS power law exponent oscillated in time within the regime of unbounded variance, which is consistent with the wild fluctuations that characterize ecological phenomena. We speculate that our results may eventually be linked to other law-like macroecological phenomena, such as energetic constraints reported in allometric scaling.
author	Abades,Sebastián R Marquet,Pablo A
author_facet	Abades,Sebastián R Marquet,Pablo A
author_sort	Abades,Sebastián R
title	Finite size scaling in the local abundances of geographic populations
title_short	Finite size scaling in the local abundances of geographic populations
title_full	Finite size scaling in the local abundances of geographic populations
title_fullStr	Finite size scaling in the local abundances of geographic populations
title_full_unstemmed	Finite size scaling in the local abundances of geographic populations
title_sort	finite size scaling in the local abundances of geographic populations
publisher	Sociedad de Biología de Chile
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602011000100013
work_keys_str_mv	AT abadessebastianr finitesizescalinginthelocalabundancesofgeographicpopulations AT marquetpabloa finitesizescalinginthelocalabundancesofgeographicpopulations
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Finite size scaling in the local abundances of geographic populations

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