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.