Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i>
Social hierarchies are ubiquitous in social groups such as human societies and social insect colonies; however, the factors that maintain these hierarchies are less clear. Motivated by the shared reproductive hierarchy of the ant species <i>Harpegnathos saltator</i>, we have developed si...
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| Format: | Article |
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MDPI AG
2022-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/9/4239 |
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| author | Carlos Bustamante-Orellana Dingyong Bai Jordy Cevallos-Chavez Yun Kang Benjamin Pyenson Congbo Xie |
| author_facet | Carlos Bustamante-Orellana Dingyong Bai Jordy Cevallos-Chavez Yun Kang Benjamin Pyenson Congbo Xie |
| author_sort | Carlos Bustamante-Orellana |
| collection | DOAJ |
| description | Social hierarchies are ubiquitous in social groups such as human societies and social insect colonies; however, the factors that maintain these hierarchies are less clear. Motivated by the shared reproductive hierarchy of the ant species <i>Harpegnathos saltator</i>, we have developed simple compartmental nonlinear differential equations to explore how key life-history and metabolic rate parameters may impact and determine its colony size and the length of its shared hierarchy. Our modeling approach incorporates nonlinear social interactions and metabolic theory. The results from the proposed model, which were linked with limited data, show that: (1) the proportion of reproductive individuals decreases over colony growth; (2) an increase in mortality rates can diminish colony size but may also increase the proportion of reproductive individuals; and (3) the metabolic rates have a major impact in the colony size and structure of a shared hierarchy. |
| first_indexed | 2024-03-10T04:23:24Z |
| format | Article |
| id | doaj.art-f6523ab476854e23ac3b5c2d47250412 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:23:24Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-f6523ab476854e23ac3b5c2d472504122023-11-23T07:46:14ZengMDPI AGApplied Sciences2076-34172022-04-01129423910.3390/app12094239Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i>Carlos Bustamante-Orellana0Dingyong Bai1Jordy Cevallos-Chavez2Yun Kang3Benjamin Pyenson4Congbo Xie5College of Liberal Arts and Science, Arizona State University, Tempe, AZ 85281, USASchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaCollege of Liberal Arts and Science, Arizona State University, Tempe, AZ 85281, USACollege of Integrative Sciences and Arts, Arizona State University, Mesa, AZ 85212, USACollege of Liberal Arts and Science, Arizona State University, Tempe, AZ 85281, USACollege of Integrative Sciences and Arts, Arizona State University, Mesa, AZ 85212, USASocial hierarchies are ubiquitous in social groups such as human societies and social insect colonies; however, the factors that maintain these hierarchies are less clear. Motivated by the shared reproductive hierarchy of the ant species <i>Harpegnathos saltator</i>, we have developed simple compartmental nonlinear differential equations to explore how key life-history and metabolic rate parameters may impact and determine its colony size and the length of its shared hierarchy. Our modeling approach incorporates nonlinear social interactions and metabolic theory. The results from the proposed model, which were linked with limited data, show that: (1) the proportion of reproductive individuals decreases over colony growth; (2) an increase in mortality rates can diminish colony size but may also increase the proportion of reproductive individuals; and (3) the metabolic rates have a major impact in the colony size and structure of a shared hierarchy.https://www.mdpi.com/2076-3417/12/9/4239social insectsnonlinear (shared) hierarchynonlinear social interactionsmetabolic costs<i>Harpegnathos saltator</i> |
| spellingShingle | Carlos Bustamante-Orellana Dingyong Bai Jordy Cevallos-Chavez Yun Kang Benjamin Pyenson Congbo Xie Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> Applied Sciences social insects nonlinear (shared) hierarchy nonlinear social interactions metabolic costs <i>Harpegnathos saltator</i> |
| title | Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> |
| title_full | Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> |
| title_fullStr | Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> |
| title_full_unstemmed | Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> |
| title_short | Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to <i>Harpegnathos saltator</i> |
| title_sort | hierarchy establishment from nonlinear social interactions and metabolic costs an application to i harpegnathos saltator i |
| topic | social insects nonlinear (shared) hierarchy nonlinear social interactions metabolic costs <i>Harpegnathos saltator</i> |
| url | https://www.mdpi.com/2076-3417/12/9/4239 |
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