different types of models (5)
critical mass
sufficient number of adopters of an innovation in a social system so that rate of adoption becomes self-sustaining
exponential growth model
assumptions:
model use
to study the evolution of the number of adopters of a technology
external influence model
logistic model
introduces an imitation effect, upper limit effect, relative growth rate diminishes when the population gets higher values
imitation effect
adoption and diffusion of technology is based on the imitation of the behaviour of previous adopters
r0
maximum possible growth rate of the population
- net effect of reproduction and mortality
K
saturation level; upper limit for the number of members of the population
- carrying capacity
growth time
the length of the interval during which growth progresses from 10% to 90% of the carrying capacity
midpoint
time where the members of the population are half the carrying capacity
gompertz model
bass model
exponential growth, capacity limit, imitation effect, and innovation effect
research goals (3)
model best fit
least squares method, minimizes the sum of squared residuals
innovation effect
capability to incorporate a new technology