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Climate change impacts on population growth across a species’ range differ due to nonlinear responses of populations to climate and variation in rates of climate change

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the rate of climate change also contributes to differential impacts of climate change across pop- ulations. Thus, our work suggests that current responses to climate may not continue indefi- nitely under continued changes in climate, but that populations may differ dramatically in their responses to future climate, even if their current responses to climate are very similar to one another. This is important because often conservationists only have data on current responses to climate, rather than future response to climate. All of these factors are likely to generate idiosyncratic responses to climate across populations. Thus, our work may provide a framework for understanding why many species do not show predictable shifts in their geo- graphic range with climate change [2, 47, 48]. Supporting information S1 Appendix. (DOCX) PLOS ONE Nonlinear responses of population growth rate to climate change PLOS ONE | https://doi.org/10.1371/journal.pone.0247290 March 3, 2021 17 / 20

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Acknowledgments We thank the many people who helped with field work, as well as comments from reviewers who greatly improved the paper. Author Contributions Conceptualization: Allison M. Louthan, William Morris. Formal analysis: Allison M. Louthan, William Morris. Funding acquisition: William Morris. Investigation: Allison M. Louthan. Supervision: William Morris. Writing – original draft: Allison M. Louthan, William Morris. Writing – review & editing: Allison M. Louthan, William Morris. References 1. Chen IC, Hill JK, Ohlemu¨ller R, Roy DB, & Thomas CD. Rapid range shifts of species associated with high levels of climate warming. Science 2011; 333: 1024–1026. https://doi.org/10.1126/science. 1206432 PMID: 21852500 2. Parmesan C. Ecological and Evolutionary Responses to Recent Climate Change. Annu Rev Ecol Evol Syst 2006; 37: 637–669. 3. Post E, Alley RB, Christensen TR, Macias-Fauria M, Forbes BC, Gooseff MN, et al. The polar regions in a 2˚C warmer world. Sci Adv 2019; 5: eaaw9883. 4. Ashcroft MB, Chisholm LA, & French KO. Climate change at the landscape scale: Predicting fine- grained spatial heterogeneity in warming and potential refugia for vegetation. Glob Chang Biol 2009; 15: 656–667. 5. Spooner FEB, Pearson RG, & Freeman R. Rapid warming is associated with population decline among terrestrial birds and mammals globally. Glob Chang Biol 2018; 24: 4521–4531. https://doi.org/10.1111/ gcb.14361 PMID: 30033551 6. Nigam S, Thomas NP, Ruiz-Barradas A, & Weaver SJ. Striking Seasonality in the Secular Warming of

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