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Developmental Allometry: Scaling in Growth

Author(s): John Jungck1, Jennifer Spangenberg1

Beloit College

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Summary:
This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

Licensed under CC Attribution-NonCommercial-ShareAlike 4.0 International according to these terms

Version 1.0 - published on 17 Aug 2024 doi:10.25334/WVTX-WX16 - cite this

Keywords

  1. allometry
  2. brain development
  3. Skeletal System
  4. metabolic rate

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  2. Subdiscipline
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Contents:
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Overview

This excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user. Brain mass, skeletal mass, and metabolic rate compared to body size are a few of the variables illustrated. The user can compare proportionality coefficients and exponents for different species groups to determine how they are different. The user can compare allometric equations of gathered data to those found in the workbook.

Popular Text Citations

Schmidt-Nielsen K. 1984. Scaling: Why is Animal Size So Important? Cambridge: Cambridge University Press.

Calder W A III. 1984. Size, Function, and Life History. Massachusetts: Harvard University Press.

Research Articles

Nakaya F, Saito Y, Motokawa T. 2005. Experimental allometry: effect of size manipulation on metabolic rate of colonial ascidians. Proc Biol Sci. 272:1963-9.

He J H. 2005. The allometry of leaf form in early plant ontogeny.

Kato N, Miyashita T. 2005. Exploring the mechanisms causing a high allometric value of female pleopod in the crayfish Procambarus clarkii. Zoolog Sci. 22:717-21.

Stahl, W.R. (1965) Organ Weights in primates and other mammals. Science 150:1039-42.

Prange, H.D., Anderson, J.F., and Rahn, H. 1979. Scaling of skeletal mass in birds and mammals. Amer. Nat. 113:103-22

Reynolds, W.W., and Karlotski, W.J. 1977. The allometric relationship of skeleton weight to body weight in teleost fishes: a preliminary comparison with birds and mammals. Copeia 1977:160-3

Anderson, J.F., Rahn, H., and Prange, H.D. 1979. Scaling of supportive tissue mass. Quart. Rev. Biol. 54:139-49.

Brett, J.R. 1965. The relation of size to rate of oxygen consumption and sustained swimming speed of sokeye salmon (Oncorhynchus nerka). J. Fish. Res. Bd. Canada 22:1491-7

Tutorial & Background Materials

Evolution and Development I: Size and Shape, Brown University

Citation

Researchers should cite this work as follows:

Fundamental Mathematical Concepts

Fundamental Mathematical Concepts
Allometric Growth

Developed By

Developed by
Galileo Galilei

Galileo developed the idea of allometric growth in his Discoursi, published while under house arrest in 1638. He noted that the bones of larger animals grow thicker at a faster rate than they grow longer compared to the same bone in smaller animals. Thus, the ratio of “height:girth” decreases as animals grow larger (Swarthmore).

Primary Reference

Galilei, Galileo. 1638. Discoursi e demonstrazione matematiche intorno a due nuove scienze. Leiden: Elseviers. (1950. Discourses and mathematical demonstrations concerning two new sciences: The first day, and parts of the second day, the third day and the fourth day. Chicago: Chicago University Press.)