Individual Rules for Trail Pattern Formation in Argentine Ants (Linepithema humile)
Publication Date
July 19, 2012
Journal
PLOS Computational Biology
Authors
Andrea Perna, Boris Granovskiy, Simon Garnier, Stamatios C. Nicolis, et al
Volume
8
Issue
7
Pages
e1002592
DOI
https://dx.plos.org/10.1371/journal.pcbi.1002592
Publisher URL
http://journals.plos.org/ploscompbiol/article?id=10.1371%2Fjournal.pcbi.1002592
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/22829756
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3400603
Europe PMC
http://europepmc.org/abstract/MED/22829756
Web of Science
000306842200017
Scopus
84864582595
Mendeley
http://www.mendeley.com/research/individual-rules-trail-pattern-formation-argentine-ants-linepithema-humile
Events
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Mendeley | Further Information

{"title"=>"Individual rules for trail pattern formation in Argentine ants (linepithema humile)", "type"=>"journal", "authors"=>[{"first_name"=>"Andrea", "last_name"=>"Perna", "scopus_author_id"=>"16199989700"}, {"first_name"=>"Boris", "last_name"=>"Granovskiy", "scopus_author_id"=>"55178546300"}, {"first_name"=>"Simon", "last_name"=>"Garnier", "scopus_author_id"=>"13006090300"}, {"first_name"=>"Stamatios C.", "last_name"=>"Nicolis", "scopus_author_id"=>"7004595221"}, {"first_name"=>"Marjorie", "last_name"=>"Labédan", "scopus_author_id"=>"55327700300"}, {"first_name"=>"Guy", "last_name"=>"Theraulaz", "scopus_author_id"=>"7004591018"}, {"first_name"=>"Vincent", "last_name"=>"Fourcassié", "scopus_author_id"=>"6603453140"}, {"first_name"=>"David J.T.", "last_name"=>"Sumpter", "scopus_author_id"=>"6602893688"}], "year"=>2012, "source"=>"PLoS Computational Biology", "identifiers"=>{"issn"=>"1553734X", "arxiv"=>"1201.5827v1", "scopus"=>"2-s2.0-84864582595", "pui"=>"365384800", "doi"=>"10.1371/journal.pcbi.1002592", "isbn"=>"1553-7358", "sgr"=>"84864582595", "pmid"=>"22829756"}, "id"=>"3603e1d5-4fcf-33a4-84db-e54b8e1235c8", "abstract"=>"We studied the formation of trail patterns by Argentine ants exploring an empty arena. Using a novel imaging and analysis technique we estimated pheromone concentrations at all spatial positions in the experimental arena and at different times. Then we derived the response function of individual ants to pheromone concentrations by looking at correlations between concentrations and changes in speed or direction of the ants. Ants were found to turn in response to local pheromone concentrations, while their speed was largely unaffected by these concentrations. Ants did not integrate pheromone concentrations over time, with the concentration of pheromone in a 1 cm radius in front of the ant determining the turning angle. The response to pheromone was found to follow a Weber's Law, such that the difference between quantities of pheromone on the two sides of the ant divided by their sum determines the magnitude of the turning angle. This proportional response is in apparent contradiction with the well-established non-linear choice function used in the literature to model the results of binary bridge experiments in ant colonies (Deneubourg et al. 1990). However, agent based simulations implementing the Weber's Law response function led to the formation of trails and reproduced results reported in the literature. We show analytically that a sigmoidal response, analogous to that in the classical Deneubourg model for collective decision making, can be derived from the individual Weber-type response to pheromone concentrations that we have established in our experiments when directional noise around the preferred direction of movement of the ants is assumed.", "link"=>"http://www.mendeley.com/research/individual-rules-trail-pattern-formation-argentine-ants-linepithema-humile", "reader_count"=>122, "reader_count_by_academic_status"=>{"Unspecified"=>5, "Professor > Associate Professor"=>11, "Student > Doctoral Student"=>4, "Researcher"=>24, "Student > Ph. D. Student"=>35, "Student > Postgraduate"=>6, "Student > Master"=>16, "Other"=>3, "Student > Bachelor"=>8, "Lecturer"=>4, "Lecturer > Senior Lecturer"=>4, "Professor"=>2}, "reader_count_by_user_role"=>{"Unspecified"=>5, "Professor > Associate Professor"=>11, "Student > Doctoral Student"=>4, "Researcher"=>24, "Student > Ph. D. Student"=>35, "Student > Postgraduate"=>6, "Student > Master"=>16, "Other"=>3, "Student > Bachelor"=>8, "Lecturer"=>4, "Lecturer > Senior Lecturer"=>4, "Professor"=>2}, "reader_count_by_subject_area"=>{"Unspecified"=>10, "Agricultural and Biological Sciences"=>65, "Arts and Humanities"=>1, "Philosophy"=>1, "Chemistry"=>1, "Computer Science"=>5, "Engineering"=>5, "Environmental Science"=>3, "Biochemistry, Genetics and Molecular Biology"=>3, "Mathematics"=>6, "Neuroscience"=>2, "Physics and Astronomy"=>16, "Psychology"=>3, "Social Sciences"=>1}, "reader_count_by_subdiscipline"=>{"Social Sciences"=>{"Social Sciences"=>1}, "Physics and Astronomy"=>{"Physics and Astronomy"=>16}, "Psychology"=>{"Psychology"=>3}, "Mathematics"=>{"Mathematics"=>6}, "Unspecified"=>{"Unspecified"=>10}, "Environmental Science"=>{"Environmental Science"=>3}, "Arts and Humanities"=>{"Arts and Humanities"=>1}, "Engineering"=>{"Engineering"=>5}, "Chemistry"=>{"Chemistry"=>1}, "Neuroscience"=>{"Neuroscience"=>2}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>65}, "Computer Science"=>{"Computer Science"=>5}, "Biochemistry, Genetics and Molecular Biology"=>{"Biochemistry, Genetics and Molecular Biology"=>3}, "Philosophy"=>{"Philosophy"=>1}}, "reader_count_by_country"=>{"Belgium"=>1, "United States"=>6, "Japan"=>1, "Denmark"=>1, "Brazil"=>1, "United Kingdom"=>1, "Italy"=>1, "Australia"=>1, "Switzerland"=>2, "Germany"=>3, "India"=>1, "Spain"=>2}, "group_count"=>8}

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Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/606344"], "description"=>"<p>Each graph is for a different range of values of total pheromone . Given the large number of data points involved in the plot, and to improve visualization, we only report the mean and standard deviation of data binned in intervals of 20 pheromone units. The red line is a linear fit (on the unbinned data) of the form . Statistics on the fitted slope are as follows: (A) ; , ; . (B) ; , ; . (C) ; , ; . (D) ; , ; . (E) ; , ; . (F) ; , ; . Angles increase anticlockwise: positive angles indicate an ant turn to the left. The data from all the trials are merged for this figure.</p>", "links"=>[], "tags"=>["angles", "changes", "ants", "pheromone"], "article_id"=>276833, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g005", "stats"=>{"downloads"=>5, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Measured_angles_of_changes_in_direction_made_by_ants_as_a_function_of_pheromone_difference_/276833", "title"=>"Measured angles of changes in direction made by ants as a function of pheromone difference .", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:53:53"}
  • {"files"=>["https://ndownloader.figshare.com/files/606057"], "description"=>"<p>A. Number of ants in the arena over time. B. Number of ants along the arena border (i.e. less than 2.5 cm from the border) over time. For each plot the curve gives the mean and standard deviation over all trials.</p>", "links"=>[], "tags"=>["neuroscience", "developmental biology", "physics", "mathematics"], "article_id"=>276546, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g002", "stats"=>{"downloads"=>1, "page_views"=>8, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Arena_level_statistics_of_exploration_/276546", "title"=>"Arena level statistics of exploration.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:49:06"}
  • {"files"=>["https://ndownloader.figshare.com/files/606763"], "description"=>"<p>The table reports for each trial the values of a power law fit of the type , where is the slope of the angle change vs. pheromone difference . Fit values are obtained through non-weighted linear least squares fit of the log-transformed data.</p>", "links"=>[], "tags"=>["parameters", "pheromone", "evaporation"], "article_id"=>277251, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.t001", "stats"=>{"downloads"=>1, "page_views"=>16, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Fit_of_eq_4_parameters_from_individual_replicates_pheromone_evaporation_is_not_assumed_/277251", "title"=>"Fit of eq. 4 parameters from individual replicates; pheromone evaporation is not assumed.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2012-07-19 02:00:51"}
  • {"files"=>["https://ndownloader.figshare.com/files/606793"], "description"=>"<p>The same as <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002592#pcbi-1002592-t001\" target=\"_blank\">table 1</a>, but assuming pheromone evaporation with a half-life of 30 minutes ( in equation 9).</p>", "links"=>[], "tags"=>["parameters", "replicates", "assuming", "pheromone"], "article_id"=>277284, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.t002", "stats"=>{"downloads"=>1, "page_views"=>14, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Fit_of_eq_4_parameters_from_individual_replicates_when_assuming_pheromone_evaporation_/277284", "title"=>"Fit of eq. 4 parameters from individual replicates when assuming pheromone evaporation.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2012-07-19 02:01:24"}
  • {"files"=>["https://ndownloader.figshare.com/files/605999"], "description"=>"<p>Each picture is obtained by summing all the ants detected from arena-level snapshots during 5 minutes (300 snapshots). The contrast and gamma are adjusted to make single ants visible in the images.</p>", "links"=>[], "tags"=>["formed"], "article_id"=>276491, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g001", "stats"=>{"downloads"=>1, "page_views"=>11, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Evolution_of_the_pattern_formed_by_one_colony_T09_over_time_/276491", "title"=>"Evolution of the pattern formed by one colony (T09) over time.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:48:11"}
  • {"files"=>["https://ndownloader.figshare.com/files/316746", "https://ndownloader.figshare.com/files/316823"], "description"=>"<div><p>We studied the formation of trail patterns by Argentine ants exploring an empty arena. Using a novel imaging and analysis technique we estimated pheromone concentrations at all spatial positions in the experimental arena and at different times. Then we derived the response function of individual ants to pheromone concentrations by looking at correlations between concentrations and changes in speed or direction of the ants. Ants were found to turn in response to local pheromone concentrations, while their speed was largely unaffected by these concentrations. Ants did not integrate pheromone concentrations over time, with the concentration of pheromone in a 1 cm radius in front of the ant determining the turning angle. The response to pheromone was found to follow a Weber's Law, such that the difference between quantities of pheromone on the two sides of the ant divided by their sum determines the magnitude of the turning angle. This proportional response is in apparent contradiction with the well-established non-linear choice function used in the literature to model the results of binary bridge experiments in ant colonies (Deneubourg et al. 1990). However, agent based simulations implementing the Weber's Law response function led to the formation of trails and reproduced results reported in the literature. We show analytically that a sigmoidal response, analogous to that in the classical Deneubourg model for collective decision making, can be derived from the individual Weber-type response to pheromone concentrations that we have established in our experiments when directional noise around the preferred direction of movement of the ants is assumed.</p> </div>", "links"=>[], "tags"=>["rules", "argentine", "ants"], "article_id"=>122509, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>["https://dx.doi.org/10.1371/journal.pcbi.1002592.s001", "https://dx.doi.org/10.1371/journal.pcbi.1002592.s002"], "stats"=>{"downloads"=>5, "page_views"=>21, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/Individual_Rules_for_Trail_Pattern_Formation_in_Argentine_Ants_Linepithema_humile_/122509", "title"=>"Individual Rules for Trail Pattern Formation in Argentine Ants (<em>Linepithema humile</em>)", "pos_in_sequence"=>0, "defined_type"=>4, "published_date"=>"2012-07-19 00:41:49"}
  • {"files"=>["https://ndownloader.figshare.com/files/606261"], "description"=>"<p>For each tracking event we get the position of the ant at time and its direction at times immediately prior to or after (average directions during intervals). The angle is the change from previous direction. and are the integrals of all pheromone in two circular sectors ahead of the ant on the left and right side, respectively. In order to avoid spurious correlations between ant movement and the pheromone added by the ant during that same movement, we always calculate correlations with the pheromone map as it was 16 seconds before the tracking event ().</p>", "links"=>[], "tags"=>["estimating", "concentrations", "pheromone"], "article_id"=>276750, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g004", "stats"=>{"downloads"=>0, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Regions_used_for_estimating_the_concentrations_of_pheromone_around_the_ant_/276750", "title"=>"Regions used for estimating the concentrations of pheromone around the ant.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:52:30"}
  • {"files"=>["https://ndownloader.figshare.com/files/606554"], "description"=>"<p>The colour associated with each point (, ) represents the value of the correlation coefficient between the observed turning angle and the turning angles predicted from equation 5 . The ant is situated in the centre of the map, facing upwards, and its approximate dimensions are given by the cyan rectangle. The scale for the figure is provided by+symbols, which are spaced 1 cm. apart. The map is for trial T09 and no pheromone evaporation. Similar maps are found in all the trials.</p>", "links"=>[], "tags"=>["observed", "turning", "pheromone", "positions"], "article_id"=>277040, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g007", "stats"=>{"downloads"=>1, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Correlation_map_between_the_observed_turning_angle_and_the_angle_predicted_using_pheromone_information_at_positions_and_equation_7_/277040", "title"=>"Correlation map between the observed turning angle and the angle predicted using pheromone information at positions and (equation 7).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:57:20"}
  • {"files"=>["https://ndownloader.figshare.com/files/606137"], "description"=>"<p>The graph in A is from all data, while the one in B is limited to “moving” ants (ants that move at least 0.4 cm in each of the two time intervals; see <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002592#s4\" target=\"_blank\">methods</a>) because of the difficulty in defining regions L and R for ants that do not move. The speed measured in both graphs is the average speed over 0.4 second intervals. The median and other percentiles are affected by small quantization effects, because ant position is recorded in pixel coordinates (, with small differences in different trials). The sample sizes of the boxplots in B are different. The whiskers in all the boxes represent data within of the quartiles; circles represent outlier data points.</p>", "links"=>[], "tags"=>["ants", "pheromone", "encountered"], "article_id"=>276626, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g003", "stats"=>{"downloads"=>1, "page_views"=>8, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Speed_distribution_for_individual_ants_plot_A_and_distribution_of_speed_as_a_function_of_the_total_pheromone_encountered_plot_B_/276626", "title"=>"Speed distribution for individual ants (plot A) and distribution of speed as a function of the total pheromone encountered (plot B).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:50:26"}
  • {"files"=>["https://ndownloader.figshare.com/files/606459"], "description"=>"<p>Error bars associated with each data point are confidence intervals on the slope estimation. A. no pheromone evaporation. B. pheromone evaporation with half-life of 30 min. The red line is a power-law fit of the form (non-weighted linear least squares of the log-transformed data; fitting parameters for the curve in A: . curve in B: ); fit restricted to the data point with pheromone units. Assuming and fitting directly a function of the form to all the original data, where is a threshold for pheromone detection, gives the best fitting values and for the condition without evaporation and and for the condition with evaporation.</p>", "links"=>[], "tags"=>["pheromone", "ant"], "article_id"=>276948, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g006", "stats"=>{"downloads"=>1, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Log_log_plot_of_the_slope_of_the_angle_change_vs_the_total_pheromone_around_one_ant_/276948", "title"=>"Log-log plot of the slope of the angle change vs. the total pheromone around one ant .", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:55:48"}
  • {"files"=>["https://ndownloader.figshare.com/files/606623"], "description"=>"<p><b>A</b>. Illustrative drawing of the simulation domain; the blue dot near the top of maze represents the nest, while the large blue region at the bottom is the food source. <b>B</b>. Percentages of simulated ants on each branch of the maze at different times in one run of simulation (each point represent the average over three minutes of simulation). C. Schema providing an intuitive explanation of equation 8. The target direction of one ant depends linearly on . The probability for the ant to choose the left branch depends on the target direction and the directional noise. More precisely, if we assume that the branching point between left and right branch is at direction zero, the probability that the ant chooses the left branch is given by the integral of the curve in panel B from to 0. D. Bifurcation diagram for the density of ants on one branch of the bridge () as a function of the total flow of ants in the setup.</p>", "links"=>[], "tags"=>["analytical", "implementing", "pheromone", "binary"], "article_id"=>277109, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g008", "stats"=>{"downloads"=>1, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulation_and_analytical_results_implementing_Weber_s_Law_type_response_to_pheromone_in_a_binary_bridge_/277109", "title"=>"Simulation and analytical results implementing Weber's Law type response to pheromone in a binary bridge.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:58:29"}
  • {"files"=>["https://ndownloader.figshare.com/files/606698"], "description"=>"<p>Each image is obtained by summing 300 snapshots of the simulation taken at equal intervals of 1 second of simulation time (corresponding to 5 minutes of simulation) in a similar way to what had been done for the experimental data.</p>", "links"=>[], "tags"=>["multi-agent", "simulation", "implementing", "parameters", "observed"], "article_id"=>277178, "categories"=>["Physics", "Mathematics", "Neuroscience", "Developmental Biology"], "users"=>["Andrea Perna", "Boris Granovskiy", "Simon Garnier", "Stamatios C. Nicolis", "Marjorie Labédan", "Guy Theraulaz", "Vincent Fourcassié", "David J. T. Sumpter"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002592.g009", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Output_of_the_multi_agent_simulation_implementing_the_individual_level_parameters_observed_experimentally_/277178", "title"=>"Output of the multi-agent simulation implementing the individual level parameters observed experimentally.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2012-07-19 01:59:38"}

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