A parsimonious alternative to the pacemaker/accumulator process in animal timing.

Abstract:

:Models of animal timing often assume the existence of a pacemaker whose variance is produced by a Poisson process. Later stages in these models typically include an accumulator, additional sources of variance, and a process in which the accumulated value is compared to reference memory. Together, these stages produce a constant coefficient of variation (i.e. the `scalar property,' often observed in experiments) even though at least one of the sources of variance is not scalar. We propose a more parsimonious source of scalar variance. We define a linear failure rate function and demonstrate that its resulting distribution function, called the Rayleigh distribution, always produces the scalar property without requiring: (a) additional sources of variance, or (b) that comparisons with reference memory always be based on ratios. Continuous and discrete versions of this model are derived. This model may serve as a more parsimonious pacemaker than others currently proposed and may replace the pacemaker/accumulator process in timing models.

journal_name

Behav Processes

journal_title

Behavioural processes

authors

Reid AK,Allen DL

doi

10.1016/s0376-6357(98)00044-8

subject

Has Abstract

pub_date

1998-12-01 00:00:00

pages

119-25

issue

2

eissn

0376-6357

issn

1872-8308

pii

S0376-6357(98)00044-8

journal_volume

44

pub_type

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