Exploring the dynamics of journal citations: Modelling with s-curves

This paper reports on an exploratory analysis of the behaviour of citations for management science papers over a 14-year period. Citations often display s-curve type behaviour: beginning slowly, rising in response to previous citations, and then declining as the material becomes obsolete. Within the context of citation research such functions are known as obsolescence functions. The paper addresses three specific questions: (i) can collections of papers from the same journal all be modelled using the same obsolescence function? (ii) Can we identify specific patterns of behaviour such as ‘sleeping beauties’ or ‘shooting stars’? (iii) Can we predict the number of future citations from the pattern of behaviour in the first few years? Over 600 papers published in six leading management science journals are analysed using a variety of s-curves.

[1]  John Mingers,et al.  Ranking journals in business and management: a statistical analysis of the Harzing data set , 2007, Eur. J. Inf. Syst..

[2]  Mark B. Houston,et al.  The Impact of Article Method Type and Subject Area on Article Citations and Reference Diversity in JM, JMR, and JCR , 2001 .

[3]  Rabikar Chatterjee,et al.  The Innovation Diffusion Process in a Heterogeneous Population: A Micromodeling Approach , 1990 .

[4]  Nigel Meade,et al.  Technological Forecasting-Model Selection, Model Stability, and Combining Models , 1998 .

[5]  R. Pearl,et al.  On the Rate of Growth of the Population of the United States since 1790 and Its Mathematical Representation. , 1920, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Quentin L. Burrell,et al.  Predicting future citation behavior , 2003, J. Assoc. Inf. Sci. Technol..

[7]  Charles Jennings,et al.  Citation Data: The Wrong Impact? * * Reprinted with permission from Nature Neuroscience, 1, December, 1998, 641-643. , 2001, Cortex.

[8]  Maurice Pendlebury,et al.  Judging the quality of research in business schools: A comment from accounting , 1996 .

[9]  Michael H. MacRoberts,et al.  Problems of citation analysis: A critical review , 1989, JASIS.

[10]  Henk F. Moed,et al.  Journal impact measures in bibliometric research , 2004, Scientometrics.

[11]  M.Nawaz Sharif,et al.  The Weibull distribution as a general model for forecasting technological change , 1980 .

[12]  Quentin L. Burrell,et al.  The nth-citation distribution and obsolescence , 2002, Scientometrics.

[13]  Joseph P. Martino,et al.  Technological forecasting for decision making , 1983 .

[14]  Quentin L. Burrell,et al.  Stochastic modelling of the first-citation distribution , 2004, Scientometrics.

[15]  Laurie McAulay,et al.  The judge, the model of the judge, and the model of the judged as judge: Analyses of the UK 1992 research assessment exercise data for business and management studies , 1996 .

[16]  Quentin L. Burrell,et al.  Using the Gamma-Poisson model to predict library circulations , 1990, J. Am. Soc. Inf. Sci..

[17]  Michael John Jones,et al.  Journal evaluation methodologies: A balanced response , 1996 .

[18]  Leo Egghe A Heuristic Study of the First-Citation Distribution , 2004, Scientometrics.

[19]  Sally Jo Cunningham,et al.  Obsolescence of computing literature , 2005, Scientometrics.

[20]  Quentin L. Burrell,et al.  Modeling citation behavior in Management Science journals , 2006, Inf. Process. Manag..

[21]  H. Akaike A new look at the statistical model identification , 1974 .

[22]  Wolfgang Glänzel,et al.  A bibliometric study on ageing and reception processes of scientific literature , 1995, J. Inf. Sci..

[23]  P. Seglen,et al.  Education and debate , 1999, The Ethics of Public Health.

[24]  Hendrik P. van Dalen,et al.  What makes a scientific article influential? The case of demographers , 2001, Scientometrics.

[25]  Joseph Paul Martino,et al.  Technological Forecasting for Decisionmaking , 1975 .

[26]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[27]  A. Tahai,et al.  A revealed preference study of management journals' direct influences , 1999 .

[28]  Quentin L. Burrel Stochastic modelling of the first-citation distribution , 2001 .

[29]  S. Redner Citation statistics from 110 years of physical review , 2005, physics/0506056.

[30]  de Ag Ton Kok Hierarchical production planning for consumer goods , 1990 .

[31]  John R. Doyle,et al.  Judging the quality of research in business schools: The UK as a case study , 1995 .

[32]  Quentin L. Burrell,et al.  Are “Sleeping Beauties” to be expected? , 2005, Scientometrics.

[33]  Charles Baden-Fuller,et al.  Making and Measuring Reputations: The Research Ranking of European Business Schools , 2000 .

[34]  Quentin L. Burrell Using the Gamma-Poisson model to predict library circulations , 1990 .

[35]  F. DuBois,et al.  Ranking the International Business Journals , 2000 .

[36]  R. Wears,et al.  Journal prestige, publication bias, and other characteristics associated with citation of published studies in peer-reviewed journals. , 2002, JAMA.

[37]  Reform of higher education research assessment and funding , 2006 .

[38]  Michael Jackson,et al.  Beyond a System of Systems Methodologies , 1990 .

[39]  Ronald Rousseau,et al.  Double exponential models for first-citation processes , 1994, Scientometrics.

[40]  Laurie McAulay,et al.  Citation as effortful voting: A reply , 1996 .

[41]  E. Garfield Citation analysis as a tool in journal evaluation. , 1972, Science.