Science Dynamics and Research Production

Indicators, Indexes, Statistical Laws and Mathematical Models

  • Nikolay K. Vitanov

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Science and Society. Research Organizations and Assessment of Research

    1. Front Matter
      Pages 1-1
    2. Nikolay K. Vitanov
      Pages 3-52
  3. Indicators and Indexes for Assessment of Research Production

    1. Front Matter
      Pages 53-54
  4. Statistical Laws and Selected Models

    1. Front Matter
      Pages 155-155
    2. Nikolay K. Vitanov
      Pages 269-280
  5. Back Matter
    Pages 281-285

About this book


This book deals with methods to evaluate scientific productivity. In the book statistical methods, deterministic and stochastic models and numerous indexes are discussed that will help the reader to understand the nonlinear science dynamics and to be able to develop or construct systems for appropriate evaluation of research productivity and management of research groups and organizations. The dynamics of science structures and systems is complex, and the evaluation of research productivity requires a combination of qualitative and quantitative methods and measures. The book has three parts. The first part is devoted to mathematical models describing the importance of science for economic growth and systems for the evaluation of research organizations of different size. The second part contains descriptions and discussions  of numerous indexes for the evaluation of the productivity of researchers and groups of researchers of different size (up to the comparison of research productivities of research communities of nations). Part three contains discussions of non-Gaussian laws connected to scientific productivity and presents various deterministic and stochastic models of science dynamics and research productivity. The book shows that many famous fat tail distributions as well as many deterministic and stochastic models and processes, which are  well known from physics, theory of extreme events or population dynamics, occur also in the description of dynamics of scientific systems and in the description of the characteristics of research productivity. This is not a surprise as scientific systems are nonlinear, open and dissipative.


Dynamics of Research Structures and Systems Evaluation of Research Organizations Evaluation of Researchers Indicators and Indexes of Research Productivity Indices for evaluation of research Ranking scientific productivity Research Productivity Studying scientific productivity nonlinear science dynamics

Authors and affiliations

  • Nikolay K. Vitanov
    • 1
  1. 1.Institute of Mechanics SofiaBulgaria

Bibliographic information