How and why do technologies spread when and where they do? What are the implications and consequences for the structure, wealth, and management of human organizations? Social and industrial evolutionary processes follow a sequence of replacements or substitutions: new ideas for old, new labor patterns for old, new technologies for old. The diffusion of new technologies follows common patterns that guide the selection of technologies and their rate of adoption in the human environment.
We are all accustomed to the idea of growth to a limit, for example, the number of people becoming ill in an epidemic that grows rapidly before eventually reaching a plateau. In fact, observers have recorded thousands of examples of such S-shaped growth in settings as diverse as animal populations, energy and transport infrastructures, language acquisition, and technological performance. Typically, the variable representing a population or system development and diffusion (species population, plant height, engine power, microchip capacity) grows exponentially at the outset. However, such systems whether natural or man-made cannot sustain exponential growth indefinitely. Negative feedback mechanisms or signals from the environment slow the growth, producing the S-shaped curve.
For a single growth process, a single sigmoidal curve is often a useful model. In niches or markets in which several populations or technologies compete, the growth and decline of each entry also often exhibit logistic behavior. This behavior depends on interactions among the competitors. Namely, if a technology’s market share grows, it comes at the cost of shares of others. This process is well-described by the so-called “logistic substitution model.”
The logistic model also finds applications in demography, notably to model transitions in fertility. For example, in 2009 PHE researchers conducted a demographic study projecting population for the globe as well as individual countries in the year 2050 based on a logistic model of fertility. See ‘Implosions, explosions: Population projections to 2050 based simply on a logistic model of fertility‘
To offer guidance for considering the diffusion of technologies that affect the human environment, the PHE explores the factors determining when socio-technical diffusion succeeds and how its speed and extent change over time. As part of this effort to advance and ease analyses of logistic behavior in time-series data, the PHE has developed the “LogletLab” software package to fit logistic curves and apply the logistic substitution model to single as well as multiple time-series data sets.
Click here for the LogletLab page
Publications about Diffusion of Social Phenomena
Microphysics and Macrohistory (PDF). Looking Back as we Move Forward: The Past, Present and Future of the History of Science 2019.
The Potato and the Prius (PDF). 2018 Keynote address to the 2018 Potato Business Summitof the United Potato Growers of America, Orlando, FL, 10 January 2018..
Jews in Time and Space (PDF). International Journal of Anthropology 31 (1-2): 93–109 2016.
Quantitative Dynamics of Human Empires [Color Booklet Version, 52 pages] (PDF). Adapted from Marchetti and Ausubel, International Journal of Anthropology 27(1-2):1-62, 2012. 2013.
Quantitative Dynamics of Human Empires (PDF). International Journal of Anthropology 27 (1-2): 1–62 2012 Empires; territory; logistic growth; testosterone; progesterone.
Will the Rest of the World Live Like America? (PDF). Technology in Society 26 (2004): 343–360 2004 Zipf, golden ratio, inequality, sustainable development.
The Next 1000 Years (PDF). 2003 Discussion paper for April 2003 Rockefeller U workshop.
DRAMs as a model organism for study for technological evolution (PDF). Technological Forecasting and Social Change 69 (3): 243–262 2002 Technological substitution; Learning curves.
Death and the Human Environment: The United States in the 20th Century (PDF). Technology in Society 23 (2): 131–146 2001 Mortality, epidemiological transition, morbidity.
A primer on logistic growth and substitution: The mathematics of the Loglet Lab software. Technological Forecasting and Social Change 61 (3): 247–271 1999 Logistic curve model.
The Loglet Lab software: A tutorial. Technological Forecasting and Social Change 61 (3): 273–295 1999 Logistic curve model.
Carrying Capacity: A Model with Logistically Varying Limits (PDF). Technological Forecasting and Social Change 61 (3): 209–214 1999 Carrying Capacity, Growth Models, Logistic Model.
Elektron: Electrical Systems in Retrospect and Prospect Technological Trajectories and the Human Environment 110–134 1997 Also appeared in Daedalus 125(3):139-169, Summer 1996. energy, electric power. .
Human Population Dynamics Revisited with the Logistic Model: How Much Can Be Modeled and Predicted? Technological Forecasting and Social Change : 1–30 1996 Logistic curve model, population.
Bi-Logistic Growth Technological Forecasting and Social Change : 89–102 1994 Logistic curve model.
Graphical representation of the world population growth (PDF). Human Dimensions Quarterly 1 (2): 17–19 1994 population, logistic curve model.
Rat Race Dynamics and Crazy Companies: The Diffusion of Technologies and Social Behavior (PDF). Technological Forecasting and Social Change : 11–22 1991 technology diffusion.
Regularities in technological development: An environmental view [external link]. Pp 70-91 in Technology and Environment, National Academy, Washington DC 70–91 1989 technology diffusion, logistic model curve. .