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Allometric Scaling: Analysis of LD50 Data

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  • Lidia Burzala‐Kowalczyk
  • Geurt Jongbloed

Abstract

The need to identify toxicologically equivalent doses across different species is a major issue in toxicology and risk assessment. In this article, we investigate interspecies scaling based on the allometric equation applied to the single, oral LD 50 data previously analyzed by Rhomberg and Wolff.(1) We focus on the statistical approach, namely, regression analysis of the mentioned data. In contrast to Rhomberg and Wolff's analysis of species pairs, we perform an overall analysis based on the whole data set. From our study it follows that if one assumes one single scaling rule for all species and substances in the data set, then β= 1 is the most natural choice among a set of candidates known in the literature. In fact, we obtain quite narrow confidence intervals for this parameter. However, the estimate of the variance in the model is relatively high, resulting in rather wide prediction intervals.

Suggested Citation

  • Lidia Burzala‐Kowalczyk & Geurt Jongbloed, 2011. "Allometric Scaling: Analysis of LD50 Data," Risk Analysis, John Wiley & Sons, vol. 31(4), pages 523-532, April.
    • Handle: RePEc:wly:riskan:v:31:y:2011:i:4:p:523-532
    DOI: 10.1111/j.1539-6924.2010.01542.x
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    References listed on IDEAS

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    1. Lorenz R. Rhomberg & Scott K. Wolff, 1998. "Empirical Scaling of Single Oral Lethal Doses Across Mammalian Species Based on a Large Database," Risk Analysis, John Wiley & Sons, vol. 18(6), pages 741-753, December.
    2. Curtis C. Travis & Robin K. White, 1988. "Interspecific Scaling of Toxicity Data," Risk Analysis, John Wiley & Sons, vol. 8(1), pages 119-125, March.
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