First published online January 31, 2007
Journal of Experimental Biology 210, 614-619 (2007)
Published by The Company of Biologists 2007
doi: 10.1242/jeb.001362
Flexible information sampling in vibrational assessment of predation risk by red-eyed treefrog embryos
Karen M. Warkentin1,2,*,
Michael S. Caldwell1,
Timothy D. Siok1,
Alison T. D'Amato1 and
J. Gregory McDaniel3
1 Department of Biology, Boston University, Boston, MA 02215, USA
2 Smithsonian Tropical Research Institute, Apartado 2072, Balboa, Panama
3 Department of Aerospace and Mechanical Engineering, Boston University, Boston,
MA 02215, USA

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Fig. 1. Hatching response of Agalychnis callidryas embryos to 300 s
vibration playbacks eliciting similar overall levels of hatching and matched
for duty cycle but differing in cycle length. (A) Hatching as a function of
time; hatching was slower with longer cycles. Inset: stimuli used in
playbacks, constructed from bursts of 0100 Hz synthetic white noise.
Waveforms of 12 s of the pattern of (top to bottom) 0.1:1 s, 0.25:2.5 s, 0.5:5
s, 1:10 s duration: interval times. (B) Hatching as a function of cycles of
vibration. As cycle length increased, embryos sampled progressively fewer
cycles before hatching. Data are means ± s.e.m. of 10 clutches per
stimulus. Different letters indicate significantly different cumulative
hatching curves.
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Fig. 2. (A) Latency to begin hatching and (B) peak of hatching response of
Agalychnis callidryas egg clutches in response to vibration playbacks
differing in cycle length, plotted in terms of time (open symbols) and of
cycles of vibration (closed symbols). All stimuli had a 1:10 ratio of
vibration to silence, and were constructed from bursts of 0100 Hz white
noise. Data are means ± s.e.m. of 10 clutches per stimulus. For
comparison, latency (s) to begin hatching in snake attacks is also plotted
(N=22 attacks).
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Fig. 3. A graphical model showing the hypothesized structure of the trade-off
between the value of information and its cost for red-eyed treefrog eggs.
Information has value (V) to the extent that it reduces potentially
fatal errors about when to hatch and, for temporal properties, accrues as a
diminishing function of cycles of the pattern (solid line in A). The cost of
information accrues as risk of predation (R) over time (solid line in
B). Elapsed time is a product of number of cycles and cycle length, thus
information is more costly (A) or accrues more slowly (B) with long
vs short cycles (subscripts). If embryos maximize net benefit (value
minus cost) they should sample more time but fewer cycles if those cycles are
long rather than short.
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© The Company of Biologists Ltd 2007