Scalable Rules for Coherent Group Motion in a Gregarious Vertebrate
Publication Date
January 05, 2011
Journal
PLOS ONE
Authors
Marie Hélène Pillot, Jacques Gautrais, Patrick Arrufat, Iain D. Couzin, et al
Volume
6
Issue
1
Pages
e14487
DOI
https://dx.plos.org/10.1371/journal.pone.0014487
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0014487
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/21245930
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3016320
Europe PMC
http://europepmc.org/abstract/MED/21245930
Web of Science
000286511200002
Scopus
79251549774
Mendeley
http://www.mendeley.com/research/scalable-rules-coherent-group-motion-gregarious-vertebrate
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Mendeley | Further Information

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Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/808004"], "description"=>"<p>For each model, the AIC value was computed using bias-adjustment for small sample sizes according to: <b>AICc = n*ln(RSS/n)+2*K+(2*K*(K+1))/(n−K−1)</b>, where n is the number of data, RSS the residuals sum of squares and K the number of parameters (25). The plausibility of each model is assessed by its corresponding <i>Akaike weight</i> Wi which was obtained by normalizing the relative likelihoods <b>exp (−0.5*</b>Δ<b>i)</b>, with Δi the difference between the AICc of the model i and the lowest AICc. The plausibility of model 3 versus model 2 is given by Wi(model 3)/Wi(model 2) = 0.999/7.15 10<sup>−4</sup> = 1400.</p>", "links"=>[], "tags"=>["ecology/behavioral ecology", "evolutionary biology/animal behavior", "neuroscience/animal cognition"], "article_id"=>478368, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.t001", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_selection_with_AIC_/478368", "title"=>"Model selection with AIC.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2011-01-05 02:19:28"}
  • {"files"=>["https://ndownloader.figshare.com/files/807947"], "description"=>"<p>Mean duration of the collective move for different group size <i>N</i> = 2, 4, 8, 32 (from thin curve to thick curve respectively), as a function of different values of β. The black dots represent the minimum value of mean duration for each group size.</p>", "links"=>[], "tags"=>["parameter"], "article_id"=>478316, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.g005", "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Sensitivity_of_the_collective_dynamics_to_the_parameter_946_/478316", "title"=>"Sensitivity of the collective dynamics to the parameter β.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2011-01-05 02:18:36"}
  • {"files"=>["https://ndownloader.figshare.com/files/403324", "https://ndownloader.figshare.com/files/403373"], "description"=>"<div><p>Individuals of gregarious species that initiate collective movement require mechanisms of cohesion in order to maintain advantages of group living. One fundamental question in the study of collective movement is what individual rules are employed when making movement decisions. Previous studies have revealed that group movements often depend on social interactions among individual members and specifically that collective decisions to move often follow a quorum-like response. However, these studies either did not quantify the response function at the individual scale (but rather tested hypotheses based on group-level behaviours), or they used a single group size and did not demonstrate which social stimuli influence the individual decision-making process. One challenge in the study of collective movement has been to discriminate between a common response to an external stimulus and the synchronization of behaviours resulting from social interactions. Here we discriminate between these two mechanisms by triggering the departure of one trained Merino sheep (<em>Ovis aries</em>) from groups containing one, three, five and seven naïve individuals. Each individual was thus exposed to various combinations of already-departed and non-departed individuals, depending on its rank of departure. To investigate which individual mechanisms are involved in maintaining group cohesion under conditions of leadership, we quantified the temporal dynamic of response at the individual scale. We found that individuals' decisions to move do not follow a quorum response but rather follow a rule based on a double mimetic effect: attraction to already-departed individuals and attraction to non-departed individuals. This rule is shown to be in agreement with an adaptive strategy that is inherently scalable as a function of group size.</p></div>", "links"=>[], "tags"=>["scalable", "rules", "coherent", "gregarious", "vertebrate"], "article_id"=>139689, "categories"=>["Cancer", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0014487.s001", "https://dx.doi.org/10.1371/journal.pone.0014487.s002"], "stats"=>{"downloads"=>2, "page_views"=>14, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/Scalable_Rules_for_Coherent_Group_Motion_in_a_Gregarious_Vertebrate/139689", "title"=>"Scalable Rules for Coherent Group Motion in a Gregarious Vertebrate", "pos_in_sequence"=>0, "defined_type"=>4, "published_date"=>"2011-01-05 02:41:29"}
  • {"files"=>["https://ndownloader.figshare.com/files/807702"], "description"=>"<p>A) Average kinetic of collective departures do not depend on group size as expressed as the percentage of departed individuals in function of the time for group of <i>N</i> = 2, 4, 6 and 8 individuals (from thin curve to thick curve respectively). B) Time course of collective departures as function of the group size.</p>", "links"=>[], "tags"=>["ecology/behavioral ecology", "evolutionary biology/animal behavior", "neuroscience/animal cognition"], "article_id"=>478065, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.g001", "stats"=>{"downloads"=>0, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Kinetic_of_collective_departures_/478065", "title"=>"Kinetic of collective departures.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2011-01-05 02:14:25"}
  • {"files"=>["https://ndownloader.figshare.com/files/807887"], "description"=>"<p>Benefit difference ΔI (dotted) when switching from staying and moving, and departure rates μ (plain) as function of departure rank for groups of 10 and 20 individuals. Departure rates here, follow (model 3 with α = 1). Note that the benefits are proportional to group size.</p>", "links"=>[], "tags"=>["decision-making"], "article_id"=>478255, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.g004", "stats"=>{"downloads"=>0, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Scalability_of_the_sheep_decision_making_process_/478255", "title"=>"Scalability of the sheep decision-making process.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2011-01-05 02:17:35"}
  • {"files"=>["https://ndownloader.figshare.com/files/807760"], "description"=>"<p>Departure rates are plotted (A) as a function of the number of already departed sheep <i>D</i> in each group size (<i>N</i> = 2, 4, 6 and 8), and (B) for each follower's rank departure as function of the group size (dot: rank 1, triangle: rank 2, cross: rank 3, square: rank 4, star: rank 5). Note that the corresponding number of non-departed sheep is <i>N</i>−<i>D</i>.</p>", "links"=>[], "tags"=>["ecology/behavioral ecology", "evolutionary biology/animal behavior", "neuroscience/animal cognition"], "article_id"=>478123, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.g002", "stats"=>{"downloads"=>0, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Individual_stimulus_response_function_/478123", "title"=>"Individual stimulus/response function.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2011-01-05 02:15:23"}
  • {"files"=>["https://ndownloader.figshare.com/files/807817"], "description"=>"<p>Comparison of the mean experimental (empty circle) and expected values (cross) obtained under (A–C) model 1 (sheep decision to follow is independent of other sheep), (D–F) model 2 (following is prompted by the number of already departed sheep) and (G–I) model 3 (sheep decision depends on the number of departed and non-departed sheep). Left column represent the individual stimulus / response function as a function of the number of already departed sheep <i>D</i> in each group size (<i>N</i> = 2, 4, 6 and 8). Note that the corresponding number of non-departed sheep is <i>N</i>−<i>D</i>. Mid and right columns represent the corresponding results at the collective scale: mean latency of the first follower and mean duration of the move (i.e. mean duration from the trained' departure and the last follower's departure). Dashed lines represent the standard deviation.</p>", "links"=>[], "tags"=>["predictions"], "article_id"=>478188, "categories"=>["Infectious Diseases", "Neuroscience"], "users"=>["Marie-Hélène Pillot", "Jacques Gautrais", "Patrick Arrufat", "Iain D. Couzin", "Richard Bon", "Jean-Louis Deneubourg"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0014487.g003", "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_of_models_predictions_with_experimental_data_/478188", "title"=>"Comparison of models' predictions with experimental data.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2011-01-05 02:16:28"}

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Relative Metric

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