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Jensen's inequality predicts effects of environmental variation.

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TLDR
Jensen's inequality is a mathematical proof that is seldom mentioned in the ecological literature but which provides a powerful tool for predicting some direct effects of environmental variance in biological systems.
Abstract
Many biologists now recognize that environmental variance can exert important effects on patterns and processes in nature that are independent of average conditions. Jensen’s inequality is a mathematical proof that is seldom mentioned in the ecological literature but which provides a powerful tool for predicting some direct effects of environmental variance in biological systems. Qualitative predictions can be derived from the form of the relevant response functions (accelerating versus decelerating). Knowledge of the frequency distribution (especially the variance) of the driving variables allows quantitative estimates of the effects. Jensen’s inequality has relevance in every field of biology that includes nonlinear processes.

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References
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Photosynthetic Response and Adaptation to Temperature in Higher Plants

TL;DR: A comparison of plants from contrasting thermol regimes in Thermally Contrasting Climates and adoptive responses in the heat stability 0/ the photosynthetic apparatus highlights the need to understand more fully the role of photosynthesis in climate change.
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Induced Responses to Herbivory

TL;DR: This comprehensive evaluation and synthesis of a rapidly-developing field provides state-of-the-discipline reviews, and highlights areas of research which might be productive, should appeal to a wide variety of theoretical and applied researchers.
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Reaction kinetics of poikilotherm development.

TL;DR: A stochastic thermodynamic model of poikilotherm development has been derived from the Eyring equation assuming multiple activity states of the underlying developmental control enzymes and the resulting equation has been found applicable to a wide range of organisms.
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