Palya, W. L., Walter, D., Kessel, R., & Lucke, R. (1996). Investigating behavioral dynamics with a fixed-time extinction schedule and linear analysis. Journal of the Experimental Analysis of Behavior, 66, 391-409.

This paper describes the behavioral adaptation observed for 16 pigeons responding to a step transition in the reinforcement rate in a repeated-trial design. Within each trial, following exposure for a fixed period to a variable-interval schedule, there was an unsignaled change in the schedule to extinction. The step transition allowed an experimental test of the applicability of a linear analysis to steady-state dynamic behavior. The computations required for this test yielded, as an intermediate result, transfer functions for each of the 16 birds from 1 mHz to 256 mHz. The transfer functions obtained show greater responsiveness to lower frequencies (i.e., longer time-scale structures in the reinforcement schedule); hence, the pigeons have the characteristics of a low-pass filter. The outcome of the test is that some predictability of the pigeons' future behavior is possible.

Images further illustrating this numerical method, plus an animated illustration of behavior dynamics, are also available.

Key words: linear systems analysis, frequency domain, variable-interval schedules, transfer function, interreinforcement interval distribution, key peck, pigeons