2000
DOI: 10.1016/s0169-5347(99)01801-7
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Jensen’s inequality and optimal life history strategies in stochastic environments

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Cited by 23 publications
(22 citation statements)
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“…For convex reaction norms (second derivative>0), Jensen's inequality (Hölder 1889, Jensen 1906) guarantees that environmental variation will produce non‐additive (skewed) variability in a demographic parameter that increases its temporal mean relative to performance in a constant environment (Fig. 1, dashed green lines; see also Real and Ellner 1992, Pásztor et al 2000), which will subsequently enhance fitness and select for demographic lability if increases by a large enough amount to offset the deleterious impacts of σ 2 (Eq. 1).…”
Section: The Adaptive Basis For Demographic Labilitymentioning
confidence: 99%
“…For convex reaction norms (second derivative>0), Jensen's inequality (Hölder 1889, Jensen 1906) guarantees that environmental variation will produce non‐additive (skewed) variability in a demographic parameter that increases its temporal mean relative to performance in a constant environment (Fig. 1, dashed green lines; see also Real and Ellner 1992, Pásztor et al 2000), which will subsequently enhance fitness and select for demographic lability if increases by a large enough amount to offset the deleterious impacts of σ 2 (Eq. 1).…”
Section: The Adaptive Basis For Demographic Labilitymentioning
confidence: 99%
“…Jensen's inequality predicts that when the thermal performance curve is concave (in the cold part of curve) the organism should present a higher fitness under constant than fluctuating temperature with the same mean. On the contrary, if the thermal performance curve is convex (the hot part of curve) the organism is expected to have a higher fitness under fluctuating than constant temperature (Pasztor et al, 2000;Foray et al, 2014).…”
Section: Introductionmentioning
confidence: 99%
“…Rastetter et al, 1992;Kicklighter et al, 1994;Ruel and Ayres, 1999;Pasztor et al, 2000;Knapp et al, 2002;Jentsch et al, 2007), studies looking at the effects of climate change on ecosystem function have given perhaps too much attention to changes in the average climate, but not to the full probability distribution of the climate system. The findings of this study can greatly modify past predictions about the effects of future average temperatures on ecosystem respiration, especially for large temporal and spatial scales.…”
Section: Discussionmentioning
confidence: 99%