A Quantitative Model of Honey Bee Colony Population Dynamics
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{"title"=>"A quantitative model of honey bee colony population dynamics", "type"=>"journal", "authors"=>[{"first_name"=>"David S.", "last_name"=>"Khoury", "scopus_author_id"=>"37661615800"}, {"first_name"=>"Mary R.", "last_name"=>"Myerscough", "scopus_author_id"=>"6603891430"}, {"first_name"=>"Andrew B.", "last_name"=>"Barron", "scopus_author_id"=>"7102579390"}], "year"=>2011, "source"=>"PLoS ONE", "identifiers"=>{"issn"=>"19326203", "isbn"=>"1932-6203", "pui"=>"361656170", "sgr"=>"79955145168", "doi"=>"10.1371/journal.pone.0018491", "scopus"=>"2-s2.0-79955145168", "pmid"=>"21533156"}, "id"=>"4522af1e-544c-3010-97b0-5dce884dff61", "abstract"=>"Since 2006 the rate of honey bee colony failure has increased significantly. As an aid to testing hypotheses for the causes of colony failure we have developed a compartment model of honey bee colony population dynamics to explore the impact of different death rates of forager bees on colony growth and development. The model predicts a critical threshold forager death rate beneath which colonies regulate a stable population size. If death rates are sustained higher than this threshold rapid population decline is predicted and colony failure is inevitable. The model also predicts that high forager death rates draw hive bees into the foraging population at much younger ages than normal, which acts to accelerate colony failure. The model suggests that colony failure can be understood in terms of observed principles of honey bee population dynamics, and provides a theoretical framework for experimental investigation of the problem.", "link"=>"http://www.mendeley.com/research/quantitative-model-honey-bee-colony-population-dynamics-2", "reader_count"=>162, "reader_count_by_academic_status"=>{"Unspecified"=>4, "Professor > Associate Professor"=>4, "Researcher"=>34, "Student > Doctoral Student"=>10, "Student > Ph. D. Student"=>42, "Student > Postgraduate"=>7, "Student > Master"=>22, "Other"=>7, "Student > Bachelor"=>21, "Lecturer"=>2, "Professor"=>9}, "reader_count_by_user_role"=>{"Unspecified"=>4, "Professor > Associate Professor"=>4, "Researcher"=>34, "Student > Doctoral Student"=>10, "Student > Ph. D. Student"=>42, "Student > Postgraduate"=>7, "Student > Master"=>22, "Other"=>7, "Student > Bachelor"=>21, "Lecturer"=>2, "Professor"=>9}, "reader_count_by_subject_area"=>{"Unspecified"=>8, "Agricultural and Biological Sciences"=>99, "Arts and Humanities"=>1, "Veterinary Science and Veterinary Medicine"=>4, "Chemistry"=>1, "Computer Science"=>4, "Earth and Planetary Sciences"=>2, "Engineering"=>3, "Environmental Science"=>21, "Biochemistry, Genetics and Molecular Biology"=>2, "Nursing and Health Professions"=>1, "Mathematics"=>7, "Medicine and Dentistry"=>3, "Neuroscience"=>1, "Physics and Astronomy"=>4, "Social Sciences"=>1}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>3}, "Social Sciences"=>{"Social Sciences"=>1}, "Physics and Astronomy"=>{"Physics and Astronomy"=>4}, "Mathematics"=>{"Mathematics"=>7}, "Unspecified"=>{"Unspecified"=>8}, "Environmental Science"=>{"Environmental Science"=>21}, "Arts and Humanities"=>{"Arts and Humanities"=>1}, "Engineering"=>{"Engineering"=>3}, "Chemistry"=>{"Chemistry"=>1}, "Neuroscience"=>{"Neuroscience"=>1}, "Earth and Planetary Sciences"=>{"Earth and Planetary Sciences"=>2}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>99}, "Computer Science"=>{"Computer Science"=>4}, "Nursing and Health Professions"=>{"Nursing and Health Professions"=>1}, "Biochemistry, Genetics and Molecular Biology"=>{"Biochemistry, Genetics and Molecular Biology"=>2}, "Veterinary Science and Veterinary Medicine"=>{"Veterinary Science and Veterinary Medicine"=>4}}, "reader_count_by_country"=>{"New Zealand"=>2, "Canada"=>3, "Colombia"=>1, "Sweden"=>1, "United States"=>3, "Brazil"=>1, "Mexico"=>1, "Italy"=>1, "France"=>3, "Australia"=>1}, "group_count"=>7}

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/781881"], "description"=>"<p>The solid line has <i>w</i> = 4000; the\n dashed line, <i>w</i> = 10 000 and the\n dash-dot line, <i>w</i> = 27 000.</p>", "links"=>[], "tags"=>["eclosion", "function", "where", "different"], "article_id"=>452251, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g002", "stats"=>{"downloads"=>2, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Plot_of_the_eclosion_function_____E_h_F_8202_8202_LN_w_N_where_____N_8202_8202_H_F_for_different____values_of_w_/452251", "title"=>"Plot of the eclosion function\n <i>E(h,F) = LN/(w+N)</i> where\n <i>N = H+F</i> for different\n values of <i>w</i>.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:02:28"}
  • {"files"=>["https://ndownloader.figshare.com/files/782112"], "description"=>"<p>Experimental data is from Rueppell et al <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0018491#pone.0018491-Rueppell1\" target=\"_blank\">[33]</a> and model\n results were obtained by running the model for 40 days\n (approximately the observational period used by Rueppell et al). At\n the start of each model run\n <i>H</i> = 9000 for large colonies\n and 4500 for small colonies and\n <i>F</i> = 0. The parameters were\n <i>L</i> = 2000,\n <i>w</i> = 27000,\n  = 0.25 and\n  = 0.75.</p>", "links"=>[], "tags"=>["of", "onset", "foraging"], "article_id"=>452490, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.t001", "stats"=>{"downloads"=>0, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_of_experimental_data_and_model_results_for_average_age_of____onset_of_foraging_AAOF_and_lifespan_/452490", "title"=>"Comparison of experimental data and model results for average age of\n onset of foraging (AAOF) and lifespan.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 19:03:52"}
  • {"files"=>["https://ndownloader.figshare.com/files/782019"], "description"=>"<p>For this set of parameter values, when the death rate <i>m</i>\n exceeds 0.355, the only stable equilibrium population is zero. Parameter\n values are the same as <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0018491#pone-0018491-g003\" target=\"_blank\">Figure 3</a>.</p>", "links"=>[], "tags"=>["dependence", "equilibrium", "death"], "article_id"=>452392, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g005", "stats"=>{"downloads"=>2, "page_views"=>8, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_dependence_of_the_colony_population_at_equilibrium_on_the_death____rate_of_foragers_/452392", "title"=>"The dependence of the colony population at equilibrium on the death\n rate of foragers.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:03:17"}
  • {"files"=>["https://ndownloader.figshare.com/files/781926"], "description"=>"<p>Each line on the diagrams represents a solution trajectory, giving the\n number of foragers <i>F</i> and the number of hive bees\n <i>H</i>. As time <i>t</i> increases the\n solutions change along the trajectory in the direction of the arrows. In\n (a) <i>m</i> = 0.24 and the populations\n tend to a stable equilibrium population, marked by a dot. In (b),\n <i>m</i> = 0.40 there is no nonzero\n equilibrium and the hive populations collapses to zero. Parameter values\n are <i>L</i> = 2000,\n  = 0.25,\n  = 0.75 and\n <i>w</i> = 27 000.</p>", "links"=>[], "tags"=>["diagrams", "solutions", "values"], "article_id"=>452303, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g003", "stats"=>{"downloads"=>1, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Phase_plane_diagrams_of_solutions_to_the_model_for_different_values____of_m_/452303", "title"=>"Phase plane diagrams of solutions to the model for different values\n of <i>m</i>.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:02:44"}
  • {"files"=>["https://ndownloader.figshare.com/files/782057"], "description"=>"<p>Parameter values are the same as <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0018491#pone-0018491-g003\" target=\"_blank\">Figure 3</a>.</p>", "links"=>[], "tags"=>["bees", "average", "onset", "foraging", "forager", "death"], "article_id"=>452426, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g006", "stats"=>{"downloads"=>2, "page_views"=>13, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_average_age_of_adult_worker_bees_dashed_line_and_the_average____age_of_onset_of_foraging_solid_line_as_a_function_of_forager_death____rate_/452426", "title"=>"The average age of adult worker bees (dashed line) and the average\n age of onset of foraging (solid line) as a function of forager death\n rate.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:03:31"}
  • {"files"=>["https://ndownloader.figshare.com/files/781830"], "description"=>"<p>Eggs laid by the queen are reared as brood that eclose three weeks later\n as adult bees. Adult bees work in the hive initially before becoming\n foragers. Our model considers the death rate of adult bees within the\n hive to be negligible, but forager death rate is a parameter varied in\n our simulations. We assume the amount of brood reared is influenced by\n the size of the colony (number of hive and forager bees) and that the\n rate at which bees transition from hive bees to forager bees is\n influenced by the number of foragers to represent the effect of social\n inhibition.</p>", "links"=>[], "tags"=>["considered", "our"], "article_id"=>452197, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g001", "stats"=>{"downloads"=>1, "page_views"=>11, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Elements_of_honey_bee_social_dynamics_considered_by_our____model_/452197", "title"=>"Elements of honey bee social dynamics considered by our\n model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:02:09"}
  • {"files"=>["https://ndownloader.figshare.com/files/781979"], "description"=>"<p>This plot shows the time course of colony decline when all foragers\n perform equally well (dashed line) and when precocious foragers die\n faster than mature foragers (solid line). The effect of precocious\n foraging is modeled by replacing the death rate <i>m</i> by\n <i>m = m<sub>l</sub>\n R<sup>2</sup>/(</i><i><sup>2</sup>+R<sup>2</sup>)</i>\n whenever <i>R</i><0 where <i>R</i> is the\n recruitment rate of foragers given in eqn (4). Parameter values are\n <i>L</i> = 2000,\n  = 0.25,\n  = .75,\n <i>w</i> = 27 000,\n <i>m<sub>l</sub></i> = 0.6 and\n <sup>2</sup> = 0.059.</p>", "links"=>[], "tags"=>["inefficient", "precocious", "foraging", "population"], "article_id"=>452356, "categories"=>["Mathematics", "Biological Sciences", "Neuroscience", "Ecology", "Evolutionary Biology"], "users"=>["David S. Khoury", "Mary R. Myerscough", "Andrew B. Barron"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0018491.g004", "stats"=>{"downloads"=>2, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_effect_of_inefficient_precocious_foraging_on_population____decline_/452356", "title"=>"The effect of inefficient precocious foraging on population\n decline.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 19:03:01"}

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Relative Metric

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