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What is It Like to be a Crab? A Complex Network Analysis of Eucaridan Evolution

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Abstract

Eucaridan evolution involved a process starting from a body organization characterized by an elongate and cylindrical cephalothorax, a well-developed abdomen composed of swimming appendages, ending in a tail fan formed by flattened uropods and a telson. This process would lead, ultimately, to a body organization characterized by a shortened and depressed cephalothorax, and a reduced and ventrally folded abdomen. This ultimate process is typically known as carcinization, and is commonly defined as the process of becoming a crab. In this work, the evolution of the superorder Eucarida was studied using complex networks. A new definition of crab and carcinization are given based on the results obtained. A crab is a topological structural closure that determines the formation of a triadic central core. The evolution of the crab implied the formation of a triadic structure with high closeness centrality, formed by the cephalon, the fused thoracomere 1–4 and the carapace, which represented a highly stable hierarchical core deeply buried or enclosed in the topological structure of the network, responsible for the generation of a highly integrated and robust topology. Under this new definition, the representative of the infraorder Anomura used in this work, which is commonly considered as a crab, is not. This network seemed to be characterized by the presence of a quasi-dyadic structure, formed by the cephalon and the carapace, which was not sufficient for generating the topological closure.

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References

  • Agliari, E., & Tavani, F. (2017). The exact Laplacian spectrum for the Dyson hierarchical network. Scientific Reports, 7(39), 962.

    Google Scholar 

  • Albert, R., Jeong, H., & Barabási, A.-L. (2000). Error and attack tolerance of complex networks. Nature, 406(6794), 378–382.

    Article  CAS  PubMed  Google Scholar 

  • Balaban, A., & Balaban, T.-S. (1991). New vertex invariants and topological indices of chemical graphs based on information on distances. Journal of Mathematical Chemistry, 8(1), 383–397.

    Article  CAS  Google Scholar 

  • Balaban, A. T. (1982). Highly discriminating distance-based topological index. Chemical Physics Letters, 89(5), 399–404.

    Article  CAS  Google Scholar 

  • Bastian, M., Heymann, S., & Jacomy, M. (2009). Gephi: An open source software for exploring and manipulating networks. In Proceedings of the third international ICWSM conference (Vol. 8, pp. 361–362).

  • Berkeley, A. A. (1928). The musculature of Pandalus danae Stimpson. Transactions of the Royal Canadian Institute, 16(36), 181–231.

    Google Scholar 

  • Bertz, S. H. (1981). The first general index of molecular complexity. Journal of the American Chemical Society, 103(12), 3599–3601.

    Article  CAS  Google Scholar 

  • Blondel, V., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics Theory and Experiment, 2008(10), 10008.

    Article  Google Scholar 

  • Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D.-U. (2006). Complex networks: Structure and dynamics. Physics Reports, 424(4), 175–308.

    Article  Google Scholar 

  • Bonchev, D. (1983). Information theoretic indices for characterization of chemical structures. Letchworth: Research Studies Press.

    Google Scholar 

  • Bonchev, D., Mekenyan, O., & Trinajstić, N. (1981). Isomer discrimination by topological information approach. Journal of Computational Chemistry, 2(2), 127–148.

    Article  CAS  Google Scholar 

  • Bonchev, D., & Rouvray, D. (2005). Complexity in chemistry, biology, and ecology. New York: Springer.

    Book  Google Scholar 

  • Bonchev, D., & Trinajstić, N. (1977). Information theory, distance matrix, and molecular branching. The Journal of Chemical Physics, 67(10), 4517–4533.

    Article  CAS  Google Scholar 

  • Borradaile, L. A. (1916). Crustacea. Part II. Porcellanopagurus: An instance of carcinization. British Antarctic (“Terra Nova”) Expedition, 1910. Natural History Report Zoology, 3(3), 111–126.

    Google Scholar 

  • Claussen, J. C. (2007). Offdiagonal complexity: A computationally quick complexity measure for graphs and networks. Physica A: Statistical Mechanics and its Applications, 375(1), 365–373.

    Article  Google Scholar 

  • Cochran, D. M. (1935). The skeletal musculature of the blue crab, Callinectes sapidus Rathbun. Smithsonian Miscellaneous Collections, 92(9), 1–76.

    Google Scholar 

  • Csárdi, G., & Nepusz, T. (2006). The igraph software package for complex network research. InterJournal, Complex Systems, 1695(5), 1–9.

    Google Scholar 

  • Davie, P. J., Guinot, D., & Ng, P. K. (2015). Anatomy and functional morphology of Brachyura. In P. Castro, P. J. Davie, D. Guinot, F. R. Schram, & C. Vaupel Klein (Eds.), Treatise on zoology—anatomy, taxonomy, biology. The Crustacea (Vol. 9C-1, pp. 11–164). Leiden: Brill.

    Google Scholar 

  • Dehmer, M., Emmert-Streib, F., & Shi, Y. (2017). Quantitative graph theory: A new branch of graph theory and network science. Information Sciences, 418, 575–580.

    Article  Google Scholar 

  • Dixon, C. J., Ahyong, S. T., & Schram, F. R. (2003). A new hypothesis of decapod phylogeny. Crustaceana, 76(8), 935–975.

    Article  Google Scholar 

  • Doyle, J., & Graver, J. (1977). Mean distance in a graph. Discrete Mathematics, 17(2), 147–154.

    Article  Google Scholar 

  • Esteve-Altava, B., Diogo, R., Smith, C., Boughner, J. C., & Rasskin-Gutman, D. (2015). Anatomical networks reveal the musculoskeletal modularity of the human head. Scientific Reports, 5, 8298.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Esteve-Altava, B., Marugán-Lobón, J., Botella, H., Bastir, M., & Rasskin-Gutman, D. (2013b). Grist for Riedl’s mill: A network model perspective on the integration and modularity of the human skull. Journal of Experimental Zoology Part B: Molecular and Developmental Evolution, 320(8), 489–500.

    Article  Google Scholar 

  • Esteve-Altava, B., Marugán-Lobón, J., Botella, H., & Rasskin-Gutman, D. (2013a). Structural constraints in the evolution of the tetrapod skull complexity: Williston’s law revisited using network models. Evolutionary Biology, 40(2), 209–219.

    Article  Google Scholar 

  • Estrada, E., & Rodriguez-Velazquez, J. (2005). Subgraph centrality in complex networks. Physical Review E, 71(5), 056,103.

    Article  CAS  Google Scholar 

  • Freitag, H. (2012). Revision of the genus Insulamon Ng & Takeda, 1992 (Crustacea: Decapoda: Potamidae) with description of four new species. The Raffles Bulletin of Zoology, 60(1), 37–55.

    Google Scholar 

  • Garm, A. (2004). Mechanical functions of setae from the mouth apparatus of seven species of decapod crustaceans. Journal of Morphology, 260(1), 85–100.

    Article  PubMed  Google Scholar 

  • Garm, A., Hallberg, E., & Høeg, J. T. (2003). Role of maxilla 2 and its setae during feeding in the shrimp Palaemon adspersus (Crustacea: Decapoda). The Biological Bulletin, 204(2), 126–137.

    Article  CAS  PubMed  Google Scholar 

  • Guimera, R., & Amaral, L. A. N. (2005). Functional cartography of complex metabolic networks. Nature, 433(7028), 895–900.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Gutman, I., & Zhou, B. (2006). Laplacian energy of a graph. Linear Algebra and Its Applications, 414(1), 29–37.

    Article  Google Scholar 

  • Huxley, T. H. (1880). The crayfish: An introduction to the study of zoology. London: Kegan Paul.

    Book  Google Scholar 

  • Ihaka, R., & Gentleman, R. (1996). R: A language for data analysis and graphics. Journal of Computational and Graphical Statistics, 5(3), 299–314.

    Google Scholar 

  • Kim, J., & Wilhelm, T. (2008). What is a complex graph? Physica A: Statistical Mechanics and Its Applications, 387(11), 2637–2652.

    Article  Google Scholar 

  • Konstantinova, E. V., Skorobogatov, V. A., & Vidyuk, M. V. (2003). Applications of information theory in chemical graph theory. Indian Journal of Chemistry, 42A(6), 1227–1240.

    CAS  Google Scholar 

  • Langfelder, P., & Horvath, S. (2008). WGCNA: An R package for weighted correlation network analysis. BMC Bioinformatics, 9(1), 559.

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Latora, V., & Marchiori, M. (2001). Efficient behavior of small-world networks. Physical Review Letters, 87(19), 198,701.

    Article  CAS  Google Scholar 

  • Latora, V., & Marchiori, M. (2005). Vulnerability and protection of infrastructure networks. Physical Review E, 71(1), 015,103.

    Article  CAS  Google Scholar 

  • Lavalli, K. L., & Factor, J. R. (1992). Functional morphology of the mouthparts of juvenile lobsters, Homarus americanus (Decapoda: Nephropidae), and comparison with the larval stages. Journal of Crustacean Biology, 12(3), 467–510.

    Article  Google Scholar 

  • Lavalli, K. L., & Spanier, E. (2010). Infraorder Palinura Latreille, 1802. In F. R. Schram & C. Vaupel Klein (Eds.), Treatise on zoology—anatomy, taxonomy, biology. The Crustacea (Vol. 9A, pp. 425–532). Leiden: Brill.

    Google Scholar 

  • Lhomme, S. (2015). NetSwan: Network strengths and weaknesses analysis. R Package version 0.1.

  • Ma, A., & Mondragón, R. J. (2015). Rich-cores in networks. PLoS ONE, 10(3), e0119,678.

    Article  CAS  Google Scholar 

  • Maas, A., & Waloszek, D. (2001). Larval development of Euphausia superba Dana, 1852 and a phylogenetic analysis of the Euphausiacea. Hydrobiologia, 448(1), 143–169.

    Article  Google Scholar 

  • Martin, J. W., & Abele, L. G. (1986). Phylogenetic relationships of the genus Aegla (Decapoda: Anomura: Aeglidae), with comments on anomuran phylogeny. Journal of Crustacean Biology, 6(3), 576–616.

    Article  Google Scholar 

  • Martin, J. W., & Abele, L. G. (1988). External morphology of the genus Aegla (Crustacea, Anomura, Aeglidae). Smithsonian Contributions to Zoology, 453, 1–46.

    Article  Google Scholar 

  • Mason, O., & Verwoerd, M. (2007). Graph theory and networks in biology. IET Systems Biology, 1(2), 89–119.

    Article  CAS  PubMed  Google Scholar 

  • McLaughlin, P . A., & Lemaitre, R. (1997). Carcinization in the Anomura—fact or fiction? I. Evidence from adult morphology. Contributions to Zoology, 67(2), 79–123.

    Article  Google Scholar 

  • Mohar, B. (1991). The Laplacian spectrum of graphs. In Y. Alavi, G. Chartrand, O. Oellermann, & A. Schwenk (Eds.), Graph theory, combinatorics, and applications (Vol. 2, pp. 871–898). New York: Wiley.

    Google Scholar 

  • Moraes, J. C., & Bueno, S Ld S. (2015). Description of the newly-hatched juvenile of Aegla perobae (Crustacea: Decapoda: Aeglidae). Zootaxa, 3973(3), 491–510.

    Article  PubMed  Google Scholar 

  • Mowshowitz, A. (1968). Entropy and the complexity of graphs: I. An index of the relative complexity of a graph. The Bulletin of Mathematical Biophysics, 30(1), 175–204.

    Article  CAS  PubMed  Google Scholar 

  • Mueller, L., Kugler, K., Dander, A., Graber, A., & Dehmer, M. (2011). QuACN: An R package for analyzing complex biological networks quantitatively. Bioinformatics, 27(1), 140–141.

    Article  CAS  PubMed  Google Scholar 

  • Mueller, L. A., Schutte, M., Kugler, K. G., & Dehmer, M. (2014). QuACN: Quantitative analyze of complex networks. R Package Version 1.6.

  • Newman, M. (2003). The structure and function of complex networks. SIAM Review, 45(2), 167–256.

    Article  Google Scholar 

  • Newman, M., & Girvan, M. (2004). Finding and evaluating community structure in networks. Physical Review E, 69(2), 026,113.

    Article  CAS  Google Scholar 

  • Nikolić, S., Kovačević, G., Miličević, A., & Trinajstić, N. (2003). The Zagreb indices 30 years after. Croatica Chemica Acta, 76(2), 113–124.

    Google Scholar 

  • Parker, T. J., & Rich J. G. (1893). Observations on the myology of Palinurus edwardsii, Hutton. In: J. J. Fletcher (Ed.), Macleay Memorial Volume (pp. 159–178). Sydney: Linnean Society of New South Wales.

  • R Development Core Team. (2012). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna.

  • Randić, M. (1975). Characterization of molecular branching. Journal of the American Chemical Society, 97(23), 6609–6615.

    Article  Google Scholar 

  • Rashevsky, N. (1955). Life, information theory, and topology. Bulletin of Mathematical Biology, 17(3), 229–235.

    CAS  Google Scholar 

  • Rasskin-Gutman, D., & Buscalioni, A. D. (2001). Theoretical morphology of the archosaur (Reptilia: Diapsida) pelvic girdle. Paleobiology, 27(1), 59–78.

    Article  Google Scholar 

  • Rasskin-Gutman, D., & Esteve-Altava, B. (2014). Connecting the dots: Anatomical network analysis in morphological EvoDevo. Biological Theory, 9(2), 178–193.

    Article  Google Scholar 

  • Ravasz, E., Somera, A. L., Mongru, D., Oltvai, Z., & Barabási, A.-L. (2002). Hierarchical organization of modularity in metabolic networks. Science, 297(5586), 1551–1555.

    Article  CAS  PubMed  Google Scholar 

  • Scholtz, G. (2014). Evolution of crabs—history and deconstruction of a prime example of convergence. Contributions to Zoology, 83(2), 87–105.

    Article  Google Scholar 

  • Skorobogatov, V. A., & Dobrynin, A. A. (1988). Metric analysis of graphs. MATCH Communications in Mathematical and in Computer Chemistry, 23, 105–151.

    CAS  Google Scholar 

  • Snodgrass, R. E. (1950). Comparative studies on the jaws of mandibulate arthropods. Smithsonian Miscellaneous Collections, 116(1), 1–85.

    Google Scholar 

  • Spiridonov, V., & Casanova, B. (1852). Order Euphausiacea Dana, 1852. In F. R. Schram & C. Vaupel Klein (Eds.), Treatise on zoology—anatomy, taxonomy, biology. The Crustacea (Vol. 9A, pp. 5–82). Leiden: Brill.

    Google Scholar 

  • Thoma, B. P., Ng, P. K., & Felder, D. L. (2012). Review of the family Platyxanthidae Guinot, 1977 (Crustacea, Decapoda, Brachyura, Eriphioidea), with the description of a new genus and a key to genera and species. Zootaxa, 3498(1), 1–23.

    Article  Google Scholar 

  • Tudge, C. C., Asakura, A., & Ahyong, S. T. (2012). Infraorder Anomura MacLeay, 1838. In F. R. Schram & C. Vaupel Klein (Eds.), Treatise on zoology–anatomy, taxonomy, biology. The Crustacea (Vol. 9B, pp. 221–333). Leiden: Brill.

    Google Scholar 

  • Wahle, R. A., Tshudy, D., Cobb, J. S., Factor, J., & Jaini, M. (2012). Infraorder Astacidea Latreille, 1802 PP: The marine clawed lobsters. In F. R. Schram & C. Vaupel Klein (Eds.), Treatise on zoology—anatomy, taxonomy, biology. The Crustacea (Vol. 9B, pp. 3–108). Leiden: Brill.

    Google Scholar 

  • Watson, C. (2017). brainGraph: graph theory analysis of brain MRI data.

  • Wiener, H. (1947). Structural determination of paraffin boiling points. Journal of the American Chemical Society, 69(1), 17–20.

    Article  CAS  PubMed  Google Scholar 

  • Young, J. (1959). Morphology of the white shrimp Penaeus setiferus (Linnaeus 1758). Fishery Bulletin, 145, 1–168.

    Google Scholar 

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Acknowledgements

This work was supported by a postdoctoral fellowship from Fundación Bunge y Born (FByB, Argentina). I would like to thank the academic support from Irina Podgorny (Museo de La Plata, Universidad Nacional de La Plata, Argentina), who made possible my application to the aforementioned fellowship. I would also like to thank the anonymous reviewers of this manuscript for their constructive suggestions which led to an important improvement of this article.

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  1. Museo de La Plata (MLP), Universidad Nacional de La Plata (UNLP), Buenos Aires, Argentina

    Agustín Ostachuk

  2. Centro de Estudios de Historia de la Ciencia y de la Técnica José Babini, Universidad Nacional de San Martín (UNSAM), Buenos Aires, Argentina

    Agustín Ostachuk

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Ostachuk, A. What is It Like to be a Crab? A Complex Network Analysis of Eucaridan Evolution. Evol Biol 46, 179–206 (2019). https://doi.org/10.1007/s11692-019-09475-9

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