Egghe L. "An explanation of disproportionate growth using linear 3-dimensional informetrics and its relation with the fractal dimension" SCIENTOMETRICS 63 (2). APR 2005. p.277-296

[Eugene Garfield]

E-mail Addresses: lco.cgghc at luc.ac.bc


TITLE:          An explanation of disproportionate growth using linear 3-
                dimensional informetrics and its relation with the fractal
                dimension
                (Article, English)
AUTHOR:         Egghe, L
SOURCE:         SCIENTOMETRICS 63 (2). APR 2005. p.277-296 SPRINGER,
                DORDRECHT

ABSTRACT:
We study new and existing data sets which show that
growth rates of sources usually are different from growth rates of items.
Examples: references in publications grow with a rate that is different
(usually higher) from the growth rate of the publications themselves;
article growth rates are different from journal growth rates and so on.
In this paper we interpret this phenomenon of "disproportionate growth"; in
terms of Naranan's growth model and in terms of the self-similar fractal
dimension of such an information system, which follows from Naranan's
growth model.

The main part of the paper is devoted to explain disproportionate growth.
We show that the "simple" 2-dimensional informetrics models of source- item
relations are not able to explain this but we also show that linear 3-
dimensional informetrics (i.e. adding a new source set) is capable to model
disproportionate growth. Formulae of such different growth rates are
presented using Lotkaian informetrics and new and existing data sets are
presented and interpreted in terms of the used linear 3-dimensional model.


Addresses: Egghe L (reprint author), Limburgs Univ Ctr, Univ Campus,
Diepenbeek, B-3590 Belgium
Limburgs Univ Ctr, Diepenbeek, B-3590 Belgium
Univ Instelling Antwerp, Antwerp, B-2610 Belgium

E-mail Addresses: lco.cgghc at luc.ac.bc

Publisher: SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS

IDS Number: 924RX

ISSN: 0138-9130

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