ABA Fundamentals

Fixed-interval behavior: effects of percentage reinforcement.

Zeiler (1972) · Journal of the experimental analysis of behavior 1972
★ The Verdict

Fixed-interval scalloping survives when only 7 % of cycles deliver reinforcement, so schedule shape can outlast lean payoffs.

✓ Read this if BCBAs designing lean token economies or FI-based classroom timers.
✗ Skip if Clinicians who only use rich VR or DR schedules.

01Research in Context

01

What this study did

Byrd (1972) asked a simple question: how little food do pigeons need to keep the fixed-interval scallop alive?

Birds pecked a key on an FI schedule while the experimenter dropped the percentage of intervals that ended with grain.

Some birds worked in a lit chamber, others in the dark, to see if vision changed the result.

02

What they found

The classic scallop survived even when only 7 % of intervals paid off.

In the light, response rates first rose then fell as reinforcement got thinner.

In the dark, rates simply dropped the less food they got, but the scallop shape still showed up whenever grain finally arrived.

03

How this fits with other research

Whitehead et al. (1975) removed the peck-to-eat link altogether and saw the scallop flatten. Byrd (1972) kept the link but paid only rarely; the scallop stayed. Together they map the boundary: contingency matters more than payoff density.

Rogers-Warren et al. (1976) added free food on the side and also flattened the pattern. D’s rare food still came after the interval, so the temporal cue stayed intact. Again, contingency plus timing beats sheer rate of reinforcement.

Bijou (1958) showed preschoolers keep an FI pattern even during extinction. D pushed pigeons to the same limit—schedule-induced patterns are hard to kill once they form.

04

Why it matters

If you run thin schedules in token boards or classroom timing systems, you can trust that the learner’s rhythm will hold even when payoffs are scarce. Keep the response-reinforcer link and the time cue; you can fade to 1 in 14 intervals without losing the pattern. That saves reinforcers while keeping behavior steady.

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Stretch your current FI schedule by paying only every third cycle and watch if the learner’s post-reinforcement pause and acceleration stay intact—if yes, keep thinning.

02At a glance

Intervention
not applicable
Design
single case other
Population
neurotypical
Finding
mixed

03Original abstract

The percentage of fixed intervals terminating with food presentation was varied parametrically. Intervals that did not end with food were terminated by a stimulus uncorrelated with food presentation (a timeout stimulus). In Experiment I, the pigeons' response rates were an inverted U-shaped function of the percentage of food presentations: decreasing the percentage from 100% to 90%, 70%, or 50% produced an increase in response rates; lower percentages decreased the rates. The patterns of responding in the 100% condition differed from those of the other conditions. In Experiment II, the chamber was darkened after food presentations and timeouts. Response rate was directly related to the percentage of food presentations: decreasing the percentage decreased the response rate. Characteristic fixed-interval patterns of responding were maintained as long as there were occasional food presentations; pausing followed by positively-accelerated responding occurred in percentage conditions ranging from 7% to 100%. The ability to maintain fixed-interval performance with percentage reinforcement suggested that the behavioral sequences occurring in each interval may operate as unitary responses.

Journal of the experimental analysis of behavior, 1972 · doi:10.1901/jeab.1972.17-177