Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms
AbstractTo elucidate allometric scaling in complex systems, we investigated the underlying scaling relationships between typical three-scale indicators for approximately 500,000 Japanese firms; namely, annual sales, number of employees, and number of business partners. First, new scaling relations including the distributions of fluctuations were discovered by systematically analyzing conditional statistics. Second, we introduced simple probabilistic models that reproduce all these scaling relations, and we derived relations between scaling exponents and the magnitude of fluctuations.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 392 (2013)
Issue (Month): 4 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Scaling laws; Fluctuation; 3-body statistics; Zipf’s law; Complex system; Conditional probability; Firm statistics;
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- Zhang, Jiang & Yu, Tongkui, 2010. "Allometric scaling of countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4887-4896.
- Yoshi Fujiwara & Corrado Di Guilmi & Hideaki Aoyama & Mauro Gallegati & Wataru Souma, 2003.
"Do Pareto-Zipf and Gibrat laws hold true? An analysis with European Firms,"
cond-mat/0310061, arXiv.org, revised Nov 2003.
- Fujiwara, Yoshi & Di Guilmi, Corrado & Aoyama, Hideaki & Gallegati, Mauro & Souma, Wataru, 2004. "Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 197-216.
- Saito, Yukiko Umeno & Watanabe, Tsutomu & Iwamura, Mitsuru, 2007.
"Do larger firms have more interfirm relationships?,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 383(1), pages 158-163.
- SAITO (UMENO) Yukiko & WATANABE Tsutomu & IWAMURA Mitsuru, 2007. "Do Larger Firms Have More Interfirm Relationships?," Discussion papers 07028, Research Institute of Economy, Trade and Industry (RIETI).
- Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
- Dongfeng Fu & Fabio Pammolli & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2005.
"The Growth of Business Firms: Theoretical Framework and Empirical Evidence,"
- Fu, Dongfeng & Pammolli, Fabio & Buldyrev, Sergey V. & Riccaboni, Massimo & Matia, Kaushik & Yamasaki, Kazuko & Stanley, H. Eugene, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," MPRA Paper 15905, University Library of Munich, Germany.
- Samaniego, Horacio & Moses, Melanie E., 2008. "Cities as Organisms: Allometric Scaling of Urban Road Networks," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 1(1), pages 21-39.
- Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
- Hideaki Aoyama & Yuichi Nagahara & Mitsuhiro P. Okazaki & Wataru Souma & Hideki Takayasu & Misako Takayasu, 2000. "Pareto's Law for Income of Individuals and Debt of Bankrupt Companies," Papers cond-mat/0006038, arXiv.org.
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