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Linking local to global properties in branching modular networks: gorgonian coral colonies

Marine Biology volume 157, pages 1003–1010 (2010)Cite this article

Abstract

Branching growth is present both in plants and animals, either marine or terrestrial. Although cellular and other modular levels of organization in plants and animals have evolved through different molecular and physiological mechanisms, several aspects of their branching modular system and morphology are similar. We studied vessel organization and colony integration, in order to comprehend underlying relationships between different structural components in a gorgonian coral network. The theoretical formalism was validated in the gorgonian coral Eunicea mammosa (Plexauridae, Octocorallia) in Belize. As in vascular plants, these colonial animals create a complex network of connections among modular branches integrated in stem canals downstream toward the base. A new formalism is proposed for describing gorgonian branching. A global property of a colony is for instance the size of its base or its weight whereas a local property is the size of branch in a particular place of the colony. However, a global property is not the simple addition of local modular properties, as the case of stem canals in the colony base. Theoretically, the process of branching is tightly intertwined with the internal network organization. The colony network centralization is driven by a linear relationship between the total number of branches and the stem canals at the base of the colony. If stem canals play important roles in the transport of nutrients throughout the colony and the biomechanical support from the base up to the tips, we can assume that there is an underlying association between the number of stem canals at the base and the number of for example, terminal branches. These associations may provide new findings that extend our understanding of the functional organization of tree-like networks in octocorals and their vascular systems. The idea that the external components of a tree-like plant network are directly correlated and connected down to the main trunk seems to be analogous in an animal system.

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References

  • Bayer FM (1973) Colonial organization in octocorals. In: Boardman RS, Cheetham AH, Oliver WA (eds) Animal colonies, development and function through time. Dowden, Hutchinson and Ross, Stroudsburg, pp 69–93

    Google Scholar 

  • Boller ML, Carrington E (2006) In situ measurements of hydrodynamic force imposed on Chondrus crispus Stackhouse. J Exp Mar Biol Ecol 337:159–170

    Article  Google Scholar 

  • Borges RM (2005) Do plants and animals differ in phenotypic plasticity? J Biosci 30:41–50

    Article  PubMed  Google Scholar 

  • Carrington E (1990) Drag and dislodgment of an intertidal macroalga: consequences of morphological variation in Mastocarpus papillatus Kützing. J Exp Mar Biol Ecol 139:185–200

    Article  Google Scholar 

  • Chiba Y (1991) Plant form based on the pipe model theory. II. Quantitative analysis of ramification and morphology. Ecol Res 6:21–28

    Article  Google Scholar 

  • Fonseca MS, Koehla MAR, Kopp BS (2007) Biomechanical factors contributing to self-organization in seagrass landscapes. J Exp Mar Biol Ecol 340:227–246

    Article  Google Scholar 

  • Gateno D, Israel A, Barki Y, Rinkevich B (1998) Gastrovascular circulation in an octocoral: evidence of significant transport of coral and symbiont cells. Biol Bull 194:178–186

    Article  Google Scholar 

  • Goffredo S, Lasker HR (2006) Modular growth of a gorgonian coral can generate predictable patterns of colony growth. J Exp Mar Biol Ecol 336:221–229

    Article  Google Scholar 

  • Johnson AS (2001) Drag, drafting, and mechanical interactions in canopies of the red algae Chondrus crispus. Biol Bull 201:126–135

    Article  CAS  PubMed  Google Scholar 

  • Kaandorp JA, Kübler J (2001) The algorithmic beauty of seaweeds, sponges and corals. Springer, Amsterdam

    Google Scholar 

  • Kim K, Lasker HR (1998) Resource capture and constraints on modular growth. Funct Ecol 12:646–654

    Article  Google Scholar 

  • Kitzes JA, Denny MW (2005) Red algae respond to waves: morphological and mechanical variation in Mastocarpus papillatus along a gradient of force. Biol Bull 208:114–119

    Article  PubMed  Google Scholar 

  • Koskela J (2000) A process-based growth model for the grass pine seedlings. Silva Fennica 34:3–20

    Google Scholar 

  • Lasker HR, Sánchez JA (2002) Allometry and astogeny of modular organisms. In: Hugues RN (ed) Reproductive biology of invertebrates. Wiley, New York, pp 207–253

    Google Scholar 

  • Lasker HR, Boller ML, Castanaro J, Sánchez JA (2003) Determinate growth and modularity in a gorgonian octocoral. Biol Bull 205:319–330

    Article  PubMed  Google Scholar 

  • Pratt MP, Johnson AS (2002) Strength, drag, and dislodgment of two competing intertidal algae from two wave exposures and four seasons. J Exp Mar Biol Ecol 272:71–101

    Article  Google Scholar 

  • Prusinkiewicz P (1998) Modeling of spatial structure and development of plants: a review. Sci Hortic 74:113–149

    Article  Google Scholar 

  • Puijalon S, Bornette G, Sagnes P (2005) Adaptations to increasing hydraulic stress: morphology, hydrodynamics and fitness of two higher aquatic plant species. J Exp Bot 56:77–86

    Article  Google Scholar 

  • Richter JP (1939) The literary works of Leonardo da Vinci. Oxford University Press, London

    Google Scholar 

  • Rinkevich B (2002) The branching coral Stylophora pistillata: contribution of genetics in shaping colony landscape. Isr J Zool 48:71–82

    Article  Google Scholar 

  • Robichaud E, Methven IR (1991) Tree vigor and height growth in Black Spruce. Trees 5:158–163

    Article  Google Scholar 

  • Sánchez JA (2004) Evolution and dynamics of branching colonial form in marine modular cnidarians: gorgonian octocorals. Hydrobiologia 530:283–290

    Article  Google Scholar 

  • Sánchez JA, Lasker HR (2004) Do multi-branched colonial organisms exceed normal growth after partial mortality? Proc R Soc Lond B Biol Sci 271:S117–S120

    Article  Google Scholar 

  • Sánchez JA, Lasker HR (2003) Patterns of morphological integration in marine modular organisms: supra-module organization in branching octocoral colonies. Proc R Soc Lond B Biol Sci 270:2039–2044

    Article  Google Scholar 

  • Sánchez JA, Lasker HR, Nepomuceno EG, Sanchez JD, Woldenberg MJ (2004) Branching and self-organization in marine modular colonial organisms: a model. Am Nat 163:E24–E39

    Article  PubMed  Google Scholar 

  • Sánchez JA, Lasker HR, Zeng W, Coluci VR, Simpson C (2003) How similar are branching networks in nature? A view from the ocean: Caribbean gorgonian corals. J Theor Biol 222:135–138

    Article  PubMed  Google Scholar 

  • Sánchez JA, Aguilar C, Dorado D, Manrique N (2007) Phenotypic plasticity and morphological integration in a marine modular invertebrate. BMC Evol Biol 7:12

    Article  Google Scholar 

  • Shinozaki K, Yoda K, Hozumi K, Kira T (1964) A quantitative analysis of plant form-the pipe model theory. I. Basic analyses. Jpn J Ecol 14:97–105

    Google Scholar 

  • Sievänen R (1993) A process-based model for the dimensional growth of even-aged stages. Scand J For Res 8:28–48

    Article  Google Scholar 

  • Tracey DM, Neil H, Marriott P, Andrews AH, Cailliet GM, Sánchez JA (2007) Age and growth of two genera of deep-sea bamboo corals (Family Isididae) in New Zealand waters. Bull Mar Sci 81:393–408

    Google Scholar 

  • Valentine HT (1997) Height growth, site index, and carbon metabolism. Silva Fennica 31:251–263

    Google Scholar 

  • Wainwright SA, Biggs WD, Currey JD, Gosline JM (1976) Mechanical design in organisms. Princeton University Press, London

    Google Scholar 

Download references

Acknowledgments

We want to thank our sponsors, Vicerrectoría de Investigaciones (Proyecto interfacultades), Facultad de Ingeniería, Facultad de Ciencias and Department of Biological Sciences (Universidad de los Andes, Bogotá, Colombia), COLCIENCIAS (Grant # 1204-09-177774, J.A. Sánchez), and Smithsonian Institution. Special thanks to H. R. Lasker (U. Buffalo), whom ideas and discussions were of great influence to develop this study. We are also grateful to the Smithsonian Institution Marine Science Network (K. Ruetzler and M. Lang) for their field support (NMNH-CCRE contribution No. 874), and to M. Orkisz (CREATIS Laboratory, Lyon, France) and J. Adrien (MATEIS Laboratory, Lyon, France) for their contribution in acquiring the high-resolution computed tomography images of corals. Comments from T. Goulet and three anonymous reviewers greatly improved the manuscript.

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Authors and Affiliations

  1. Laboratorio de Biología Molecular Marina—BIOMMAR, Departamento de Ciencias Biológicas-Facultad de Ciencias, Universidad de los Andes, P.O. Box 4976, Bogotá, Colombia

    Nini Johanna Cadena, Nestor Ardila & Juan A. Sánchez

  2. Grupo Imagine, Grupo de Ingeniería Biomédica. Facultad de Ingeniería, Universidad de los Andes, Bogotá, Colombia

    Camilo Rey & Marcela Hernández-Hoyos

  3. Departamento de Matemáticas, Universidad Nacional del Colombia, Bogotá, Colombia

    J. Darío Sánchez

  4. Facultad de Ciencias Naturales, Programa de Biología Marina, Universidad de Bogotá Jorge Tadeo Lozano, Bogotá, Colombia

    Stanislas Teillaud

Authors
  1. Nini Johanna Cadena
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  2. Camilo Rey
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  3. Marcela Hernández-Hoyos
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  4. J. Darío Sánchez
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  5. Stanislas Teillaud
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  6. Nestor Ardila
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  7. Juan A. Sánchez
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Correspondence to Juan A. Sánchez.

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Communicated by T. L. Goulet.

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Cadena, N.J., Rey, C., Hernández-Hoyos, M. et al. Linking local to global properties in branching modular networks: gorgonian coral colonies. Mar Biol 157, 1003–1010 (2010). https://doi.org/10.1007/s00227-009-1380-1

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  • DOI: https://doi.org/10.1007/s00227-009-1380-1

Keywords

  • Tree-like networks
  • Animal branching colonies
  • Gorgonian coral
  • Modular organisms
  • Pipe-model theory
  • Stem canals