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Figure 1 Changes in average first serve speed (km/h) over age in women (dark gray; online version red) and men (light ... Figure 1 Changes in average first.

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Presentation on theme: "Figure 1 Changes in average first serve speed (km/h) over age in women (dark gray; online version red) and men (light ... Figure 1 Changes in average first."— Presentation transcript:

1 Figure 1 Changes in average first serve speed (km/h) over age in women (dark gray; online version red) and men (light ... Figure 1 Changes in average first serve speed (km/h) over age in women (dark gray; online version red) and men (light gray dashed line; online version blue). Lines and shaded areas represent model predictions and approximate 95% confidence intervals from a linear mixed model including sex and a quadratic effect of age as well as match length as fixed effects, fitting athlete identity and yearly tournament variation as random intercepts and including random linear and quadratic athlete-specific slopes (see main text). Bars at the bottom show the number of female and male athletes with available data for a given age category. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( Behav Ecol, Volume 29, Issue 6, 27 August 2018, Pages 1351–1358, The content of this slide may be subject to copyright: please see the slide notes for details.

2 Figure 2 Changes in serve accuracy (proportion of first serves delivered) over age in women (dark gray; online version ... Figure 2 Changes in serve accuracy (proportion of first serves delivered) over age in women (dark gray; online version red) and men (light gray dashed line; online version blue). Lines and shaded areas represent model predictions and approximate 95% confidence intervals from a linear mixed model including sex and both a linear and a quadratic effect of age as well as match length as fixed effects, fitting athlete identity and yearly tournament variation as random intercepts and including random linear and quadratic athlete-specific slopes (see main text). Bars at the bottom show the number of female and male athletes with available data for a given age category. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( Behav Ecol, Volume 29, Issue 6, 27 August 2018, Pages 1351–1358, The content of this slide may be subject to copyright: please see the slide notes for details.

3 Figure 3 Illustration of trait compensation: (a) negative correlation between speed and accuracy at the individual ... Figure 3 Illustration of trait compensation: (a) negative correlation between speed and accuracy at the individual athlete level (random intercepts); (d) negative correlation in individual aging trajectories between serve speed and serve accuracy (random slopes). Best linear unbiased predictors (BLUP) and random slopes for individual players were obtained from a tri-variate mcmcGLMM (Hadfield 2010), including serve speed, serve accuracy and winning with fixed and random effects as specified in the main text. Color gradients of points in the large panels indicate between-athlete variation in (a) winning and in (d) the age trajectory of winning, with darker shading (online version: blue) indicating larger values. Panels (b) and (c) show estimates and credible intervals for pairwise correlations, calculated from the posterior distribution of among-individual between-trait covariance’s by dividing the covariance of 2 focal traits by the product of the square root of their variances (following Houslay and Wilson (2017)). Note that correlations between serve traits and winning were all positive but 2 of 4 credible intervals overlapped zero (panels b and c). Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( Behav Ecol, Volume 29, Issue 6, 27 August 2018, Pages 1351–1358, The content of this slide may be subject to copyright: please see the slide notes for details.

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