Methods, devices and systems are provided for modeling product volume
penetration. A system embodiment includes a remote client operably
connected to a server, having a number of client files, and an input
device. A set of computer executable instructions are operable on the
system for projecting product penetration of a product in a client file
at a selectable point in time from a product launch or other starting
point, based on a set of purchase data for the product. The set of
computer executable instructions are operable for receiving the set of
purchase data and graphically displaying the set of purchase data as a
volume of product sales versus a number of time increments from the
starting point. The set of computer executable instructions are further
operable for mapping a curvilinear function to the graphically displayed
set of purchase data by applying a function expressed as
f(t)=s.times.t.sup.B.