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Understanding the Fundamentals of Epidemiology an evolving text

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Fourth, proportion <strong>of</strong> disease attributable to a component cause (i.e., its ARP) depends upon <strong>the</strong><br />

prevalence <strong>of</strong> <strong>the</strong> o<strong>the</strong>r component causes that share <strong>the</strong> causal pathway(s) to which it contributes.<br />

This result is so because if <strong>the</strong> strength <strong>of</strong> association depends upon prevalences, <strong>the</strong>n so must <strong>the</strong><br />

ARP. However, <strong>the</strong> ARP's for <strong>the</strong> various component causes are not additive <strong>an</strong>d will <strong>of</strong>ten sum to<br />

more th<strong>an</strong> 1.0. For example, if two component causes are in <strong>the</strong> same causal pathway, <strong>the</strong>n <strong>the</strong><br />

entire risk or rate associated with that pathway c<strong>an</strong> be attributed to each <strong>of</strong> <strong>the</strong> two components.<br />

The absence <strong>of</strong> ei<strong>the</strong>r component prevents <strong>the</strong> occurrence <strong>of</strong> <strong>the</strong> outcome.<br />

Phenylketonuria example<br />

An example <strong>of</strong> <strong>the</strong>se relationships, from <strong>the</strong> article referred to earlier (Causes, Am J Epidemiol 1976;<br />

104:587-92), is <strong>the</strong> causation <strong>of</strong> phenylketonuria (PKU), a condition that, like favism, is linked to a<br />

dietary factor (phenylal<strong>an</strong>ine, <strong>an</strong> amino acid) <strong>an</strong>d a genetic defect. Inf<strong>an</strong>ts with <strong>the</strong> PKU gene who<br />

ingest more th<strong>an</strong> a minimal amount <strong>of</strong> phenylal<strong>an</strong>ine develop serious neurologic effects including<br />

mental retardation. The "causal pie" for this example would be <strong>the</strong> same as <strong>the</strong> first one in this<br />

chapter, with A representing <strong>the</strong> PKU gene <strong>an</strong>d B representing dietary phenylal<strong>an</strong>ine.<br />

Since Western diets typically contain phenylal<strong>an</strong>ine, in <strong>the</strong> absence <strong>of</strong> specific preventive measures<br />

(universal screening <strong>of</strong> newborns <strong>an</strong>d institution <strong>of</strong> a special diet) nearly all inf<strong>an</strong>ts with <strong>the</strong> PKU<br />

gene develop clinical m<strong>an</strong>ifestations. The risk ratio for <strong>the</strong> PKU gene is <strong>the</strong>refore enormous; <strong>the</strong><br />

PKU gene is a "strong" cause. In contrast, phenylal<strong>an</strong>ine is a "weak" cause, since nearly all inf<strong>an</strong>ts<br />

are exposed to it <strong>an</strong>d only a tiny proportion develop clinical PKU. However, in a society in which a<br />

large proportion <strong>of</strong> <strong>the</strong> population have <strong>the</strong> PKU gene <strong>an</strong>d inf<strong>an</strong>t diets rarely contain phenylal<strong>an</strong>ine,<br />

<strong>the</strong>n dietary phenylal<strong>an</strong>ine will appear as <strong>the</strong> strong cause <strong>an</strong>d <strong>the</strong> PKU gene as <strong>the</strong> weak cause!<br />

(Recall: "<strong>an</strong>y measure in epidemiology is a weighted average . . .".).<br />

Numerical example - favism<br />

To explore <strong>the</strong>se ideas fur<strong>the</strong>r, let us construct a numerical example. Suppose that in a population<br />

<strong>of</strong> size 10,000,000, <strong>the</strong>re are two sufficient causes <strong>of</strong> favism, one that involves both GPDH<br />

deficiency <strong>an</strong>d fava be<strong>an</strong> intake, <strong>an</strong>d a second that involves nei<strong>the</strong>r <strong>of</strong> <strong>the</strong>se factors. Assume:<br />

� 1% <strong>of</strong> <strong>the</strong> population (100,000 persons) have GPDH deficiency;<br />

� 20% (2,000,000) <strong>of</strong> <strong>the</strong> population consume fava be<strong>an</strong>s;<br />

� These two factors are distributed independently <strong>of</strong> one <strong>an</strong>o<strong>the</strong>r, so that 20,000 people have<br />

both factors (20,000 = 1% <strong>of</strong> <strong>the</strong> 2,000,000 fava be<strong>an</strong> = 20% <strong>of</strong> <strong>the</strong> 100,000 GPDH deficient<br />

persons).<br />

� All remaining component causes {U} needed to lead to favism through <strong>the</strong> first sufficient<br />

cause are simult<strong>an</strong>eously present in 10% <strong>of</strong> persons, independent <strong>of</strong> <strong>the</strong>ir o<strong>the</strong>r risk factors;<br />

� The sufficient cause that does not involve fava be<strong>an</strong>s or GPDH deficiency occurs in 0.03%<br />

<strong>of</strong> <strong>the</strong> population, again independent <strong>of</strong> o<strong>the</strong>r factors/component causes. (We are assuming that<br />

<strong>the</strong> definition <strong>of</strong> favism does not require involvement <strong>of</strong> fava be<strong>an</strong>s <strong>the</strong>mselves.)<br />

_____________________________________________________________________________________________<br />

www.epidemiolog.net, © Victor J. Schoenbach 12. Multicausality: Effect modification - 391<br />

rev. 11/5/2000, 11/9/2000, 5/11/2001

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