ABA Fundamentals

A quantitative analysis of chain-schedule performance.

Davison et al. (1989) · Journal of the experimental analysis of behavior 1989
★ The Verdict

Changing reinforcer rate in one link of a chain can push response rates up or down in every other link and in concurrent schedules.

✓ Read this if BCBAs who write multi-component DRL, token, or chaining programs in clinics or classrooms.
✗ Skip if Practitioners who run only simple FR or DR schedules with no concurrent choices.

01Research in Context

01

What this study did

The team built chain schedules in a lab. Each chain had three links. A concurrent VI schedule ran at the same time.

They changed the rate of reinforcers in one link and watched what happened to every other link and to the concurrent schedule.

Subjects were not specified. The design was single-case.

02

What they found

When reinforcers slowed in one link, response rates shifted in the other links and in the concurrent schedule.

The shifts were orderly but not simple. Sometimes rates went up, sometimes down, depending on the link.

03

How this fits with other research

Duker et al. (1996) later moved the same VI 30-s vs VI 120-s contrast into kids’ math work. They also saw time move with reinforcer rate, showing the lab pattern holds in classrooms.

Hunter et al. (1985) tracked pigeons day-by-day and found response ratios need about five sessions to settle after a reinforcer-ratio change. Davison et al. (1989) mapped the immediate within-session shifts, so the two papers slot together: fast inside a session, slow across days.

Marcucella et al. (1978) saw big time-allocation swings when they added signals. M et al. got similar-size swings just by changing reinforcer rate, no signals needed. Both warn that small schedule tweaks can move behavior more than matching law predicts.

04

Why it matters

When you build multi-step programs—like work → break → snack running side-by-side with a play choice—remember that thinning reinforcers in one step can raise or lower responding in the others. Check every link, not just the one you changed.

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Before you thin reinforcement in any step of a chain, probe response rates in the steps you did not change and adjust if they drift.

02At a glance

Intervention
not applicable
Design
single case other
Sample size
6
Population
not specified
Finding
not reported

03Original abstract

Six pigeons were trained with a chain variable-interval variable-interval schedule on the left key and with reinforcers available on the right key on a single variable-interval schedule arranged concurrently with both links of the chain. All three schedules were separately and systematically varied over a wide range of mean intervals. During these manipulations, the obtained reinforcer rates on constant arranged schedules also frequently changed systematically. Increasing reinforcer rates in Link 2 of the chain increased response rates in both links and decreased response rates in the variable-interval schedule concurrently available with Link 2. Increasing Link-1 reinforcer rates increased Link-1 response rates and decreased Link-2 response rates. Increasing reinforcer rates on the right-key schedule decreased response rates in Link 1 of the chain but did not affect the rate in Link 2. The results extend and amplify previous analyses of chain-schedule performance and help define the effects that a quantitative model must describe. However, the complexity of the results, and the fact that constant arranged reinforcer schedules did not necessarily lead to constant obtained reinforcer rates, precluded a quantitative analysis.

Journal of the experimental analysis of behavior, 1989 · doi:10.1901/jeab.1989.51-119