TY - JOUR
T1 - Stochastic dynamics of instabilities in evolutionary systems
AU - Bruckner, Eberhard
AU - Ebeling, Werner
AU - Scharnhorst, Andrea
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1989
Y1 - 1989
N2 - This article develops a modeling framework that allows a formal description of evolutionary processes in social and biological systems. An enumerable set of fields (chemical sorts, biological species, technologies, areas of scientific endeavor, and so on) is considered, each field being characterized by the number and properties of its representatives (occupying elements). By introducing probabilities for the elementary processes of spontaneous generation, identical self‐reproduction, error reproduction, death, and transition to other fields, we define a Markov process in occupation number space. At any time, only a finite set of fields is occupied, and the appearance of a representative of a field with “better” properties produces an instability in the system. The characteristic dynamics of such “innovative instabilities” are investigated by simulation. As a particular example, we consider the nonlinear growth properties associated with the emergence of new areas of scientific research.
AB - This article develops a modeling framework that allows a formal description of evolutionary processes in social and biological systems. An enumerable set of fields (chemical sorts, biological species, technologies, areas of scientific endeavor, and so on) is considered, each field being characterized by the number and properties of its representatives (occupying elements). By introducing probabilities for the elementary processes of spontaneous generation, identical self‐reproduction, error reproduction, death, and transition to other fields, we define a Markov process in occupation number space. At any time, only a finite set of fields is occupied, and the appearance of a representative of a field with “better” properties produces an instability in the system. The characteristic dynamics of such “innovative instabilities” are investigated by simulation. As a particular example, we consider the nonlinear growth properties associated with the emergence of new areas of scientific research.
UR - http://www.scopus.com/inward/record.url?scp=84982732331&partnerID=8YFLogxK
U2 - 10.1002/sdr.4260050206
DO - 10.1002/sdr.4260050206
M3 - Article
AN - SCOPUS:84982732331
VL - 5
SP - 176
EP - 191
JO - System Dynamics Review
JF - System Dynamics Review
SN - 0883-7066
IS - 2
ER -