IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0224168.html
   My bibliography  Save this article

Comparing growth patterns of three species: Similarities and differences

Author

Listed:
  • Norbert Brunner
  • Manfred Kühleitner
  • Werner Georg Nowak
  • Katharina Renner-Martin
  • Klaus Scheicher

Abstract

Quantitative studies of the growth of dinosaurs have made comparisons with modern animals possible. Therefore, it is meaningful to ask, if extinct dinosaurs grew faster than modern animals, e.g. birds (modern dinosaurs) and reptiles. However, past studies relied on only a few growth models. If these models were false, what about the conclusions? This paper fits growth data to a more comprehensive class of models, defined by the von Bertalanffy-Pütter (BP) differential equation. Applied to data about Tenontosaurus tilletti, Alligator mississippiensis and the Athens Canadian Random Bred strain of Gallus gallus domesticus the best fitting growth curves did barely differ, if they were rescaled for size and lifespan. A difference could be discerned, if time was rescaled for the age at the inception point (maximal growth) or if the percentual growth was compared.

Suggested Citation

  • Norbert Brunner & Manfred Kühleitner & Werner Georg Nowak & Katharina Renner-Martin & Klaus Scheicher, 2019. "Comparing growth patterns of three species: Similarities and differences," PLOS ONE, Public Library of Science, vol. 14(10), pages 1-9, October.
    • Handle: RePEc:plo:pone00:0224168
    DOI: 10.1371/journal.pone.0224168
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0224168
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0224168&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0224168?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kahm, Matthias & Hasenbrink, Guido & Lichtenberg-Fraté, Hella & Ludwig, Jost & Kschischo, Maik, 2010. "grofit: Fitting Biological Growth Curves with R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 33(i07).
    2. Geoffrey B. West & James H. Brown & Brian J. Enquist, 2001. "A general model for ontogenetic growth," Nature, Nature, vol. 413(6856), pages 628-631, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barberis, L. & Condat, C.A., 2012. "Describing interactive growth using vector universalities," Ecological Modelling, Elsevier, vol. 227(C), pages 56-63.
    2. Sigourney, Douglas B. & Munch, Stephan B. & Letcher, Benjamin H., 2012. "Combining a Bayesian nonparametric method with a hierarchical framework to estimate individual and temporal variation in growth," Ecological Modelling, Elsevier, vol. 247(C), pages 125-134.
    3. Carl-Johan Dalgaard & Holger Strulik, 2014. "Physiological Constraints and Comparative Economic Development," Discussion Papers 14-21, University of Copenhagen. Department of Economics.
    4. Carl-Johan Dalgaard & Holger Strulik, 2015. "The physiological foundations of the wealth of nations," Journal of Economic Growth, Springer, vol. 20(1), pages 37-73, March.
    5. Ribeiro, Fabiano L. & Ribeiro, Kayo N., 2015. "A one dimensional model of population growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 201-210.
    6. Giacomini, Henrique C. & DeAngelis, Donald L. & Trexler, Joel C. & Petrere, Miguel, 2013. "Trait contributions to fish community assembly emerge from trophic interactions in an individual-based model," Ecological Modelling, Elsevier, vol. 251(C), pages 32-43.
    7. Carey W. King, 2021. "Interdependence of Growth, Structure, Size and Resource Consumption During an Economic Growth Cycle," Papers 2106.02512, arXiv.org.
    8. Santiago Campos-Barreiro & Jesús López-Fidalgo, 2015. "D-optimal experimental designs for a growth model applied to a Holstein-Friesian dairy farm," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(3), pages 491-505, September.
    9. Sébastien Benzekry & Clare Lamont & Afshin Beheshti & Amanda Tracz & John M L Ebos & Lynn Hlatky & Philip Hahnfeldt, 2014. "Classical Mathematical Models for Description and Prediction of Experimental Tumor Growth," PLOS Computational Biology, Public Library of Science, vol. 10(8), pages 1-19, August.
    10. Tao, Yong & Lin, Li & Wang, Hanjie & Hou, Chen, 2023. "Superlinear growth and the fossil fuel energy sustainability dilemma: Evidence from six continents," Structural Change and Economic Dynamics, Elsevier, vol. 66(C), pages 39-51.
    11. Hendriks, A. Jan, 2007. "The power of size: A meta-analysis reveals consistency of allometric regressions," Ecological Modelling, Elsevier, vol. 205(1), pages 196-208.
    12. Annette Baudisch, 2009. "How ageing is shaped by trade-offs," MPIDR Working Papers WP-2009-043, Max Planck Institute for Demographic Research, Rostock, Germany.
    13. James W. Vaupel & Trifon I. Missov & Jessica Metcalf, 2008. "Optimal semelparity," MPIDR Working Papers WP-2008-012, Max Planck Institute for Demographic Research, Rostock, Germany.
    14. Fabiano L Ribeiro & Joao Meirelles & Vinicius M Netto & Camilo Rodrigues Neto & Andrea Baronchelli, 2020. "On the relation between transversal and longitudinal scaling in cities," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-20, May.
    15. Wilson Lara & Stella Bogino & Felipe Bravo, 2018. "Multilevel analysis of dendroclimatic series with the R-package BIOdry," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-23, May.
    16. Marcin Molski, 2025. "Hyperbolic Representation of the Richards Growth Model," Mathematics, MDPI, vol. 13(8), pages 1-17, April.
    17. Shi, Pei-Jian & Men, Xing-Yuan & Sandhu, Hardev S. & Chakraborty, Amit & Li, Bai-Lian & Ou-Yang, Fang & Sun, Yu-Cheng & Ge, Feng, 2013. "The “general” ontogenetic growth model is inapplicable to crop growth," Ecological Modelling, Elsevier, vol. 266(C), pages 1-9.
    18. Se Yoon Lee & Bowen Lei & Bani Mallick, 2020. "Estimation of COVID-19 spread curves integrating global data and borrowing information," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-17, July.
    19. Rajan Varadarajan, 2020. "Advancing theory in marketing: insights from conversations in other disciplines," AMS Review, Springer;Academy of Marketing Science, vol. 10(1), pages 73-84, June.
    20. Benoit, David M. & Giacomini, Henrique C. & Chu, Cindy & Jackson, Donald A., 2021. "Identifying influential parameters of a multi-species fish size spectrum model for a northern temperate lake through sensitivity analyses," Ecological Modelling, Elsevier, vol. 460(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0224168. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.