The shape of some wavelength generalization gradients.
Classic pigeon color studies show peak shift and transposition are real, but the old math missed extinction and motivation effects.
01Research in Context
What this study did
Blough (1961) looked back at dozens of pigeon experiments on color generalization.
The birds pecked a key for food when lights of different wavelengths appeared.
The paper asked: do the old Hull-Spence math rules predict how the birds spread their pecks?
What they found
Two rules held up. Birds showed transposition: they picked the greener green even after training.
Peak shift also appeared: after training on green vs blue, birds peaked on a still-greener hue.
Other rules failed. Gradient summation, drive level, and extinction curves did not match the math.
How this fits with other research
Harrison et al. (1975) later showed the same gradient shape holds when pigeons avoid shock instead of earning food.
Baer (1974) added that massed extinction sessions make the color hill even steeper, giving clinicians a way to tighten stimulus control.
Schmidt et al. (1969) and Brinker et al. (1975) proved peak shift needs only tiny cues—like a shorter hopper time or a 3-min break—so you can get the shift without long contrast histories.
Why it matters
You now know that basic color-peak rules survive across food, shock, and extinction setups.
When you want sharper stimulus control, pile on extra training or massed extinction.
When you see a learner respond harder to a novel cue just past the trained one, expect peak shift, not confusion—it is normal.
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Join Free →After a learner masters a green-vs-blue discrimination, probe a slightly greener item next session—watch for peak shift and do not retrain it away.
02At a glance
03Original abstract
An impressive series of studies, begun by Guttman and Kalish (1956), has brought modern operant techniques to bear on the classical problem of generalization. Most of these papers test hypotheses based on the theories of Hull and Spence. The data have favored some hypotheses, but not others. For example, transposition was successfully predicted from the generalization gradient (Honig, 1958), and discrimination training led to a pre- dicted "peak shift" (Hanson, 1959), although the shape of the shifted curve was not derived in detail. On the other hand, there was no evidence of a relation between discrim- inability (size ofjnd) and the shape of the gradient (Guttman & Kalish, 1956). Hull's ideas on gradient summation were not confirmed (Kalish & Guttman, 1959). The role of motiva- tion seemed more complex than had been hoped (Thomas & King, 1959). Gradients of ex- tinction did not look as expected.2
Journal of the experimental analysis of behavior, 1961 · doi:10.1901/jeab.1961.4-31