Figure 2 Model flowchart: (1) Look for a resource; (2) determine whether there are one or more resources in the ... Figure 2 Model flowchart: (1) Look.

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Figure 2 Model flowchart: (1) Look for a resource; (2) determine whether there are one or more resources in the ... Figure 2 Model flowchart: (1) Look for a resource; (2) determine whether there are one or more resources in the detection distance; (3) move one unit of space according to a random or correlated random walk; (4) determine whether all of the resources in the detection distance are either the last or second to last flower visited; (5) randomly choose one resource which was not visited recently; (6) travel to flower using a straight-line approach; (7) handle resource. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.

Figure 1 Role of resource layout for testing the significance of spatial memory use in trapline foraging. (Points ... Figure 1 Role of resource layout for testing the significance of spatial memory use in trapline foraging. (Points represent resources and arrows represent foraging movements.) (a) In a completely random null model, there is an equal probability of visiting any resource point (P<sub>1</sub>=P<sub>2</sub>=P<sub>3</sub>=P<sub>4</sub>=P<sub>5</sub>). However, more distant resources are less likely to be encountered by chance due to realistic forager movements (P<sub>3</sub> < P<sub>1</sub>, P<sub>2</sub>, P<sub>4</sub>, P<sub>5</sub>). Null models which do not incorporate differential probabilities of resource visitation due to spatial layouts may lead to high type I error. (b) Null models which randomize travel distances and turn angles may lead to high type II error when foragers consistently utilize uniform traplines. Strong traplining may result in a decreased range of turning angles and travel distances, which may lead to a large number of sequence repeats in null model sequences. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.

Figure 6 Sensitivity analysis of the determinism (DET) level required to reject our spatially explicit null model with ... Figure 6 Sensitivity analysis of the determinism (DET) level required to reject our spatially explicit null model with 95% confidence within the parameter space most relevant to the experimental setup in Lihoreau et al. (2012a) dataset. We examined 900 sequences each with a length of 80 flowers. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.

Figure 3 Effect of sequence predictability on the probability of rejecting the null hypothesis (where H0: ... Figure 3 Effect of sequence predictability on the probability of rejecting the null hypothesis (where H<sub>0</sub>: absence of traplining behavior and H<sub>1</sub>: presence of traplining) for the proposed NetLogo model and 2 existing null models. The determinism values (i.e. level of sequence predictability) corresponding to the percent chance of repeating a past transition are shown on the secondary x-axis. For each of the 1700 hypothetical sequences, we ran each of the three null models 99 times, for a total of 504900 runs. We found that the random model is more likely to reject the null hypothesis for low levels of traplining (potential Type I error), while the sample randomization model is more likely to fail to reject the null hypothesis for intermediate levels of traplining (potential Type II error). Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.

Figure 4 (a) Minimum determinism (DET) levels required to reject the null model with 95% confidence using a completely ... Figure 4 (a) Minimum determinism (DET) levels required to reject the null model with 95% confidence using a completely random null model, our spatially explicit null model, and a sample randomization null model. We used the models to analyze 2 sources of empirical Bombus foraging data, including experienced and inexperienced foraging sequences from Lihoreau et al. 2012a. (Error bars are 95% binomial CI) (b) The corresponding determinism level of empirical Bombus sequences (calculated with a minimum trapline length of 4 resources), where each bar represents an individual bee. Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.

Figure 5 (a) Sensitivity analysis of the effect of forager sight distance and type of correlated random walk on the ... Figure 5 (a) Sensitivity analysis of the effect of forager sight distance and type of correlated random walk on the determinism (DET) level required to reject our spatially explicit null model with 95% confidence. (b) The corresponding DET levels of inexperienced or experienced Bombus terrestris foraging sequences from Lihoreau et al. 2012a (calculated with a minimum trapline length of 6 resources). Unless provided in the caption above, the following copyright applies to the content of this slide: © The Author(s) 2018. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThis article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/about_us/legal/notices) Behav Ecol, Volume 29, Issue 4, 19 April 2018, Pages 885–893, https://doi.org/10.1093/beheco/ary058 The content of this slide may be subject to copyright: please see the slide notes for details.