A general framework for describing diversity within systems and similarity between systems with applications in informetrics

Building on the ideas of Stirling (J R Soc Interface, 4(15), 707–719, 2007) and Rafols and Meyer (Scientometrics, 82(2), 263–287, 2010), we borrow models of genetic distance based on gene diversity and propose a general conceptual framework to investigate the diversity within and among systems and the similarity between systems. This framework can be used to reveal the relationship of systems weighted by the similarity of the corresponding categories. Application of the framework to scientometrics is explored to evaluate the balance of national disciplinary structures, and the homogeneity of disciplinary structures between countries.

[1]  D. King The scientific impact of nations , 2004, Nature.

[2]  Masatoshi Nei,et al.  Genetic Distance between Populations , 1972, The American Naturalist.

[3]  Robert D. Leonard,et al.  Quantifying Diversity in Archaeology , 2009 .

[4]  Koenraad Debackere,et al.  ‘Triad’ or ‘tetrad’? On global changes in a dynamic world , 2008, Scientometrics.

[5]  Peter Willett,et al.  Hierarchic Agglomerative Clustering Methods for Automatic Document Classification , 1984, J. Documentation.

[6]  Philip D. Gingerich,et al.  Rates of Evolution , 2009 .

[7]  Franz Barjak,et al.  National Cultural Diversity of Research Teams , 2009 .

[8]  Henk F. Moed,et al.  Handbook of Quantitative Science and Technology Research , 2005 .

[9]  R. P. McIntosh An Index of Diversity and the Relation of Certain Concepts to Diversity , 1967 .

[10]  Ronald Rousseau,et al.  The Lorenz curve: a graphical representation of evenness , 1998 .

[11]  M. Nei Analysis of gene diversity in subdivided populations. , 1973, Proceedings of the National Academy of Sciences of the United States of America.

[12]  F. Barjak,et al.  International collaboration, mobility and team diversity in the life sciences: impact on research performance. , 2007 .

[13]  Ronald Rousseau Concentration and Diversity of Availability and Use in Information Systems: A Positive Reinforcement Model , 1992, J. Am. Soc. Inf. Sci..

[14]  R. Rousseau,et al.  Transfer principles and a classification of concentration measures , 1991, J. Am. Soc. Inf. Sci..

[15]  H. Dalton The Measurement of the Inequality of Incomes , 1920 .

[16]  G. Patil,et al.  Diversity as a Concept and its Measurement , 1982 .

[17]  Frank Havemann,et al.  Structural similarities between science growth dynamics in China and in western countries , 2006, Scientometrics.

[18]  María Bordons,et al.  Analysis of Cross-Disciplinary Research Through Bibliometric Tools , 2004 .

[19]  Ismael Rafols,et al.  A global map of science based on the ISI subject categories , 2009, J. Assoc. Inf. Sci. Technol..

[20]  E. C. Pielou,et al.  An introduction to mathematical ecology , 1970 .

[21]  Quentin L. Burrell,et al.  Time-dependent aspects of co-concentration in informetrics , 2007, Scientometrics.

[22]  F. W. Lancaster,et al.  Types and Levels of Collaboration in Interdisciplinary Research in the Sciences , 1997, J. Am. Soc. Inf. Sci..

[23]  M. Hill Diversity and Evenness: A Unifying Notation and Its Consequences , 1973 .

[24]  R. Lande Statistics and partitioning of species diversity, and similarity among multiple communities , 1996 .

[25]  R. Whittaker Vegetation of the Siskiyou Mountains, Oregon and California , 1960 .

[26]  Ismael Rafols,et al.  A global map of science based on the ISI subject categories , 2009 .

[27]  E. Boerwinkle,et al.  A novel measure of genetic distance for highly polymorphic tandem repeat loci. , 1995, Molecular biology and evolution.

[28]  Quentin L. Burrell,et al.  Measuring similarity of concentration between different informetric distributions: Two new approaches , 2005, J. Assoc. Inf. Sci. Technol..

[29]  Wolfgang Glänzel,et al.  National characteristics in international scientific co-authorship relations , 2004, Scientometrics.

[30]  Yue Hong-jiang,et al.  Prediction and relative dynamic performance on field of research of China , 2008 .

[31]  Ismael Rafols,et al.  A framework for knowledge integration and diffusion , 2012, J. Documentation.

[32]  Quentin L. Burrell,et al.  Measuring concentration within and co-concentration between informetric distributions: An empirical study , 2006, Scientometrics.

[33]  L. Amaral,et al.  Scaling behaviour in the growth of companies , 1996, Nature.

[34]  Isabel Gómez,et al.  An approach to interdisciplinarity through bibliometric indicators , 2001, Scientometrics.

[35]  Michel Zitt,et al.  Facing Diversity of Science: A Challenge for Bibliometric Indicators , 2005 .

[36]  Ronald Rousseau,et al.  The relationship between diversity profiles, evenness and species richness based on partial ordering , 1999, Environmental and Ecological Statistics.

[37]  Pier Paolo Saviotti,et al.  Variety and the evolution of refinery processing , 2005 .

[38]  Thed N. van Leeuwen,et al.  Interdisciplinary dynamics of modern science: analysis of cross-disciplinary citation flows , 2000 .

[39]  C. Dagum,et al.  Measuring the Economic Affluence Between Populations of Income Receivers , 1987 .

[40]  Isabel Gómez,et al.  Interdisciplinarity in science: A tentative typology of disciplines and research areas , 2003, J. Assoc. Inf. Sci. Technol..

[41]  Michael O Finkelstein,et al.  The Application of an Entropy Theory of Concentration to the Clayton Act , 1967 .

[42]  Elad Segev,et al.  Mapping Diversities and Tracing Trends of Cultural Homogeneity/Heterogeneity in Cyberspace , 2007, J. Comput. Mediat. Commun..

[43]  R. Sokal,et al.  Principles of numerical taxonomy , 1965 .

[44]  Robert Fildes,et al.  Journal of business and economic statistics 5: Garcia-Ferrer, A. et al., Macroeconomic forecasting using pooled international data, (1987), 53-67 , 1988 .

[45]  Calyampudi R. Rao Diversity and dissimilarity coefficients: A unified approach☆ , 1982 .

[46]  Leo Egghe,et al.  Transfer principles and a classification of concentration measures , 1991, Journal of the American Society for Information Science.

[47]  Michel Zitt,et al.  REVISITING COUNTRY AND INSTITUTION INDICATORS FROM CITATION DISTRIBUTIONS : PROFILE PERFORMANCE MEASURES , 2007 .

[48]  Ronald Rousseau,et al.  A comparative study of the difference in research performance in biomedical fields among selected Western and Asian countries , 2009, Scientometrics.

[49]  M. Nei,et al.  Estimation of average heterozygosity and genetic distance from a small number of individuals. , 1978, Genetics.

[50]  Wolfgang Glänzel,et al.  Document-type country profiles , 2011, J. Assoc. Inf. Sci. Technol..

[51]  M. Nei,et al.  DNA polymorphism detectable by restriction endonucleases. , 1981, Genetics.

[52]  Alan L. Porter,et al.  An indicator of cross-disciplinary research , 1985, Scientometrics.

[53]  Ismael Rafols,et al.  Diversity and network coherence as indicators of interdisciplinarity: case studies in bionanoscience , 2009, Scientometrics.

[54]  A. Stirling On the economics and analysis of diversity , 1998 .

[55]  A. A. C. C. Pais,et al.  Science indicators and science patterns in Europe , 2009, J. Informetrics.

[56]  Ronald Rousseau Concentration and diversity of availability and use in information systems: A positive reinforcement model , 1992 .

[57]  R. Whittaker Evolution and measurement of species diversity , 1972 .

[58]  M. Nei,et al.  Mathematical model for studying genetic variation in terms of restriction endonucleases. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[59]  T. V. Leeuwen,et al.  Assessment of the scientific basis of interdisciplinary, applied research: Application of bibliometric methods in Nutrition and Food Research , 2002 .

[60]  H. Gregorius,et al.  The relationship between the concepts of genetic diversity and differentiation , 1987, Theoretical and Applied Genetics.

[61]  Ismael Rafols,et al.  How cross-disciplinary is bionanotechnology? Explorations in the specialty of molecular motors , 2007, Scientometrics.

[62]  F. W. Lancaster,et al.  Types and levels of collaboration in interdisciplinary research in the sciences , 1997 .

[63]  A M KATZ,et al.  Structural Similarities between Hemoglobins A and F , 1959, Science.

[64]  A. Magurran Ecological Diversity and Its Measurement , 1988, Springer Netherlands.

[65]  Alan L. Porter,et al.  Measuring researcher interdisciplinarity , 2007, Scientometrics.

[66]  A. Stirling A general framework for analysing diversity in science, technology and society , 2007, Journal of The Royal Society Interface.

[67]  Tao Han,et al.  A comparison of disciplinary structure in science between the G7 and the BRIC countries by bibliometric methods , 2012, Scientometrics.

[68]  Loet Leydesdorff,et al.  Betweenness centrality as an indicator of the interdisciplinarity of scientific journals , 2007, J. Assoc. Inf. Sci. Technol..

[69]  A. Solow,et al.  Measuring biological diversity , 2006, Environmental and Ecological Statistics.

[70]  E. H. Simpson Measurement of Diversity , 1949, Nature.

[71]  Robert D. Leonard,et al.  Quantifying Diversity in Archaeology , 1991 .

[72]  Slavo Radosevic,et al.  History matters: The inherited disciplinary structure of the post-communist science in countries of central and eastern Europe and its restructuring , 1999, Scientometrics.

[73]  Michel Zitt,et al.  Relativity of citation performance and excellence measures: From cross-field to cross-scale effects of field-normalisation , 2005, Scientometrics.