The differentiation of response numerosities in the pigeon.
Pigeons can learn to hit two different peck counts on demand, giving us a blueprint for teaching flexible work bursts in humans.
01Research in Context
What this study did
Researchers asked pigeons to peck two different numbers of times for food.
Birds had to learn short runs and long runs inside the same session.
A Fixed Consecutive Number schedule told them when the next peck would pay off.
What they found
The birds produced two clear run lengths that matched the required numbers.
Their counts showed scalar variability—bigger targets had bigger spread.
The data fit a math model that treats number like time.
How this fits with other research
Adams (1980) first showed pigeons can judge if they pecked enough.
Machado et al. (2007) go further—birds now emit two exact counts on cue.
Julià (1982) proved pigeons remember tiny counts for about a minute.
The new study shows they can also plan and deliver two different counts within seconds.
Why it matters
If a pigeon can switch between two run lengths, your learner can switch between two work lengths.
Try building number-based work breaks: after 5 table-wipes the student gets music, after 15 he gets iPad.
The scalar rule means give extra room for error when the target count grows.
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Join Free →Pick two small job counts (e.g., 3 vs. 8) and reinforce each with its own reward, watching for scalar spread.
02At a glance
03Original abstract
Two experiments examined how pigeons differentiate response patterns along the dimension of number. In Experiment 1, 5 pigeons received food after pecking the left key at least N times and then switching to the right key (Mechner's Fixed Consecutive Number schedule). Parameter N varied across conditions from 4 to 32. Results showed that run length on the left key followed a normal distribution whose mean and standard deviation increased linearly with N; the coefficient of variation approached a constant value (the scalar property). In Experiment 2, 4 pigeons received food with probability p for pecking the left key exactly four times and then switching. If that did not happen, the pigeons still could receive food by returning to the left key and pecking it for a total of at least 16 times and then switching. Parameter p varied across conditions from 1.0 to .25. Results showed that when p= 1.0 or p=.5, pigeons learned two response numerosities within the same condition. When p=.25, each pigeon adapted to the schedule differently. Two of them emitted first runs well described by a mixture of two normal distributions, one with mean close to 4 and the other with mean close to 16 pecks. A mathematical model for the differentiation of response numerosity in Fixed Consecutive Number schedules is proposed.
Journal of the experimental analysis of behavior, 2007 · doi:10.1901/jeab.2007.41-06