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Anatomical record (Hoboken, N.J. : 2007)2020; 304(7); 1551-1561; doi: 10.1002/ar.24555

Allometric growth in mass by the brain of mammals.

Abstract: I re-examined published data for ontogenetic change in relative mass of the brain in six species of mammal (i.e., sheep, pig, cow, horse, rat, cat) to illustrate an insidious problem with conventional analyses of brain-body allometry. Graphical displays of logarithmic transformations of the original data for each species give the appearance of two discrete mathematical distributions, but untransformed observations nonetheless conform to a single distribution that is well described by a single, nonlinear equation. The concept of biphasic, allometric growth by the brain consequently is an artifact of transformation. The notion of Rapid and Slow phases in relative growth by the brain also is an artifact, because the notion is based explicitly on the concept of biphasic growth allometry. Relative growth by the brain in sheep, pigs, cows, and horses follows the path of a power curve with an exponent less than 1, so relative growth declines progressively as animals grow to their maximum size, at which point growth effectively ends for both brain and body. Relative growth by the brain in rats and cats follows the path of an exponential curve and consequently is more like relative growth by the brain of odontocoete cetaceans and primates, with the brain growing rapidly relative to the body early in ontogeny and attaining maximum (cats) or near-maximum (rats) mass well before the body reaches its maximum. An exponential pattern of relative growth by the brain appears to have evolved independently in rodents, carnivores, odontocoetes, and primates.
Publication Date: 2020-11-05 PubMed ID: 33103327DOI: 10.1002/ar.24555Google Scholar: Lookup
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Summary

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The research article generally investigates the development of brain mass relative to body mass in various mammals, reassessing previous data that suggested two distinct growth phases in brain development. The author argues that the relative brain growth follows a single, consistent pattern irrespective of the species involved.

Allometric Growth Overview

  • The research article aims to address a common problem with conventional analyses of brain-body allometry by re-examining data for ontogenetic change in relative brain mass for six mammal species, namely sheep, pig, cow, horse, rat, and cat.
  • The author emphasizes that graphical displays of logarithmic transformations of the original data give the appearance of two distinct mathematical distributions. However, the original untransformed observations conform to a single distribution described by a single nonlinear equation.
  • Thus, the idea of biphasic, allometric growth by the brain is considered an artifact of transformation, suggesting that it’s a misleading representation created by certain mathematical outputs.

Reassessment of Previous Findings

  • The concept of rapid and slow phases in relative brain growth is an artifact too, as it is based directly on the idea of biphasic growth allometry, which the author argues is flawed.
  • The article provides an alternative explanation – that relative growth by the brain in sheep, pigs, cows, and horses follows a power curve with an exponent less than 1. This implies that relative growth dwindles as animals expand to their maximum size, at which point both brain and body growth essentially ceases.

Cats and Rats Differ

  • The relative growth by the brain in rats and cats follows the path of an exponential curve, which is different from the other animals studied.
  • The paper notes a striking similarity between brain growth in rats and cats and that of odontocete cetaceans and primates, with the brain growing rapidly relative to the body early in development. It achieves maximum or near-maximum mass long before the body maxes out its growth.
  • According to the author, this exponential brain growth pattern seems to have evolved independently in rodents, carnivores, odontocoetes, and primates.

Cite This Article

APA
Packard GC. (2020). Allometric growth in mass by the brain of mammals. Anat Rec (Hoboken), 304(7), 1551-1561. https://doi.org/10.1002/ar.24555

Publication

ISSN: 1932-8494
NlmUniqueID: 101292775
Country: United States
Language: English
Volume: 304
Issue: 7
Pages: 1551-1561

Researcher Affiliations

Packard, Gary C
  • Department of Biology, Colorado State University, Fort Collins, Colorado, USA.

MeSH Terms

  • Animals
  • Body Size / physiology
  • Brain / growth & development
  • Cats
  • Cattle
  • Horses
  • Models, Biological
  • Sheep
  • Swine

References

This article includes 30 references
  1. Anscombe FJ. Graphs in statistical analysis. The American Statistician 27, 17-21.
  2. Arnold TW. Uninformative parameters and model selection using Akaike's information criterion. Journal of Wildlife Management 74, 1175-1178.
  3. Burnham KP, Anderson DR. Model selection and multimodel inference (2nd ed.). .
  4. Burnham KP, Anderson DR, Huyvaert KP. AIC model selection and multimodel inference in behavioral ecology: Some background, observations, and comparisons. Behavioral Ecology and Sociobiology 65, 23-35.
  5. Count EW. Brain and body weight in man: their antecedents in growth and evolution. Annals of the New York Academy of Sciences 46, 993-1122.
  6. Deacon TW. Problems of ontogeny and phylogeny in brain-size evolution. International Journal of Primatology 11, 237-282.
  7. Finney DJ. Was this in your statistics textbook? V. transformation of data. Experimental Agriculture 25, 165-175.
  8. Gould SJ. Allometry and size in ontogeny and phylogeny. Biological Reviews of the Cambridge Philosophical Society 41, 587-640.
  9. Gould SJ. Allometry in primates, with emphasis on scaling and the evolution of the brain. Contributions to Primatology 5, 244-292.
  10. Gray J. The kinetics of growth. British Journal of Experimental Biology 6, 248-274.
  11. Guthery FS, Brennan LA, Peterson MJ, Lusk JJ. Information theory in wildlife science: Critique and viewpoint. Journal of Wildlife Management 69, 457-465.
  12. Halley AC. Prenatal brain-body allometry in mammals. Brain, Behavior and Evolution 88, 14-24.
  13. Hayes JP, Shonkwiler JS. Allometry, antilog transformations, and the perils of prediction on the original scale. Physiological and Biochemical Zoology 79, 665-674.
  14. Huxley JS. Constant differential growth-ratios and their significance. Nature 114, 895-896.
  15. Huxley JS. Problems of relative growth. .
  16. Menge DNL, MacPherson AC, Bytnerowicz TA, Qman AW, Schwartz NB, Taylor BN, Wolf AA. Logarithmic scales in ecological data presentation may cause misinterpretation. Nature Ecology and Evolution 2, 1393-1402.
  17. Murtaugh PA. Simplicity and complexity in ecological research. Ecology 88, 56-62.
  18. Packard GC. Relative growth by the elongated jaws of gars: A perspective on polyphasic loglinear allometry. Journal of Experimental Zoology B 326, 168-175.
  19. Packard GC. The essential role for graphs in allometric analysis. Biological Journal of the Linnean Society 120, 468-473.
  20. Packard GC. Evolutionary allometry of horn length in the mammalian family Bovidae reconciled by non-linear regression. Biological Journal of the Linnean Society 125, 657-663.
  21. Packard GC. The fallacy of biphasic growth allometry for the vertebrate brain. Biological Journal of the Linnean Society 128, 1057-1067.
  22. Packard GC. Julian Huxley and the quantification of relative growth. Zoomorphology 139, 131-140.
  23. Pantin CFA. Form and size. Nature 129, 775-777.
  24. Pasternack BS, Gianutsos RR. Application of the exponential and power functions to the study of allometric growth, with particular reference to doryline ants. The American Naturalist 103, 225-234.
  25. Renfree MB, Holt AB, Green SW, Carr JP, Cheek DB. Ontogeny of the brain in a marsupial (Macropus eugenii) throughout pouch life. Brain, Behavior and Evolution 20, 57-71.
  26. Sartori AF, Ball AD. Morphology and postlarval development of the ligament of Thracia phaseolina (Bivalvia: Thraciidae), with a discussion of model choice in allometric studies. Journal of Molluscan Studies 75, 295-304.
  27. Smith RJ. Logarithmic transformation bias in allometry. American Journal of Physical Anthropology 90, 215-228.
  28. Tsuboi M. Biological interpretations of the biphasic model of ontogenetic brain-body allometry: A reply to Packard. Biological Journal of the Linnean Society 128, 1068-1075.
  29. Tsuboi M, van der Bijl W, Kopperud BT, Erritzøe J, Voje KL, Kotrschal A, Kolm N. Breakdown of brain-body allometry and the encephalization of birds and mammals. Nature Ecology and Evolution 2, 1492-1500.
  30. Tsuboi M, van der Bijl W, Kopperud BT, Erritzøe J, Voje KL, Kotrschal A, Kolm N. Reply to: Comparisons of static brain-body allometries across vertebrates must distinguish between indeterminate and determinate growth. Nature Ecology and Evolution 3, 1405-1406.

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