ABA Fundamentals

Selection by consequences, behavioral evolution, and the price equation

Baum (2017) · Journal of the Experimental Analysis of Behavior 2017
★ The Verdict

The Price equation gives behavior analysts a ready-made formula to quantify how reinforcement reshapes a client's response pool.

✓ Read this if BCBAs who love data visuals and want a quick way to prove treatment effects.
✗ Skip if Clinicians who prefer plain graphs and don't enjoy math symbols.

01Research in Context

01

What this study did

Baum (2017) rewrote Skinner's idea of selection by consequences. He used a math tool called the Price equation. The paper is pure theory—no new lab data.

The goal was to give behavior analysts a clean formula that tracks how one response grows and another fades inside a single lifetime.

02

What they found

The Price equation splits behavioral change into two parts: selection and drift. Selection is when consequences make one response more likely. Drift is random wobble.

By separating the two, the paper shows exactly how reinforcement reshapes the moment-to-moment "population" of responses.

03

How this fits with other research

McDowell (2004) and Kulubekova et al. (2013) built digital organisms that learned through selection. Their programs matched live-animal data. Baum's math now gives those same results a one-line proof.

Stahlman et al. (2023) stretch selection across evolution, child learning, and culture. Baum keeps the lens tight on one learner, giving clinicians a ruler for single-client data.

Meyer (1999) and Malone (1999) remind us Thorndike called reinforcement "selection" back in 1905. Baum simply makes the old idea measurable.

04

Why it matters

You can plug baseline and treatment numbers into the Price equation to show parents exactly how much a behavior changed because of contingencies versus chance. It turns narrative progress notes into a one-line formula that other BCBAs can replicate.

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Count two topographies during baseline, then again after one week of treatment; plug the four numbers into the Price equation to show the selection portion of change.

02At a glance

Intervention
not applicable
Design
theoretical
Finding
not reported

03Original abstract

Price's equation describes evolution across time in simple mathematical terms. Although it is not a theory, but a derived identity, it is useful as an analytical tool. It affords lucid descriptions of genetic evolution, cultural evolution, and behavioral evolution (often called "selection by consequences") at different levels (e.g., individual vs. group) and at different time scales (local and extended). The importance of the Price equation for behavior analysis lies in its ability to precisely restate selection by consequences, thereby restating, or even replacing, the law of effect. Beyond this, the equation may be useful whenever one regards ontogenetic behavioral change as evolutionary change, because it describes evolutionary change in abstract, general terms. As an analytical tool, the behavioral Price equation is an excellent aid in understanding how behavior changes within organisms' lifetimes. For example, it illuminates evolution of response rate, analyses of choice in concurrent schedules, negative contingencies, and dilemmas of self-control.

Journal of the Experimental Analysis of Behavior, 2017 · doi:10.1002/jeab.256