TY - JOUR
T1 - Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs
T2 - An Application to Harpegnathos saltator
AU - Bustamante-Orellana, Carlos
AU - Bai, Dingyong
AU - Cevallos-Chavez, Jordy
AU - Kang, Yun
AU - Pyenson, Benjamin
AU - Xie, Congbo
N1 - Funding Information:
This research is partially supported by NSF-DMS (Award Number 1716802&2052820); NSF-IOS/DMS (Award Number 1558127) and The James S. McDonnell Foundation 21st Century Science Initiative in Studying Complex Systems Scholar Award (UHC Scholar Award 220020472). D.B. is supported by Natural Science Foundation of Guangdong Province of China (Grant No. 2021A1515010310); Science and Technology Planning Project of Guangdong Province of China (Grant No. 2020A1414010106) and NKRDP of China (Grant No. 2020YFA0712500). Xie is supported by the National Natural Science Foundation of China (Grant No. 11901076).
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/5/1
Y1 - 2022/5/1
N2 - 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 Harpegnathos saltator, 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.
AB - 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 Harpegnathos saltator, 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.
KW - Harpegnathos saltator
KW - metabolic costs
KW - nonlinear (shared) hierarchy
KW - nonlinear social interactions
KW - social insects
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U2 - 10.3390/app12094239
DO - 10.3390/app12094239
M3 - Article
AN - SCOPUS:85129161425
SN - 2076-3417
VL - 12
JO - Applied Sciences (Switzerland)
JF - Applied Sciences (Switzerland)
IS - 9
M1 - 4239
ER -