posts_gdocs: 1Uq2DJXHyDGthyXuglx-7NzQXc3nASwfDXKnFlIFvbBE
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1Uq2DJXHyDGthyXuglx-7NzQXc3nASwfDXKnFlIFvbBE | why-isnt-it-possible-to-sum-up-the-deaths-from-different-risk-factors | article | { "toc": [ { "slug": "how-to-understand-this-concept", "text": "How to understand this concept", "title": "How to understand this concept", "supertitle": "", "isSubheading": false }, { "slug": "a-worked-example", "text": "A worked example", "title": "A worked example", "supertitle": "", "isSubheading": false }, { "slug": "conclusion", "text": "Conclusion", "title": "Conclusion", "supertitle": "", "isSubheading": false } ], "body": [ { "type": "text", "value": [ { "text": "People may be exposed to different risk factors over their lifetime \u2013\u00a0like smoking, air pollution and obesity \u2013 which can increase their risk of disease and death.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "However, the number of deaths caused by each risk factor can\u2019t simply be added up. In this article, I explain why not \u2013 and why this is important.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "text": [ { "text": "How to understand this concept", "spanType": "span-simple-text" } ], "type": "heading", "level": 2, "parseErrors": [] }, { "type": "text", "value": [ { "text": "There are several reasons why the number of deaths caused by each risk factor can\u2019t simply be added up.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "One reason is that multiple risk factors can contribute to a person\u2019s death. Another reason is that these risk factors can interact with each other.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "A simple analogy to understand this idea is with the idiom \u201cthe straw that broke the camel\u2019s back.\u201d", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "A camel carrying many items can eventually break its back, even though individual items are light enough to be carried. We could prevent the camel\u2019s back from breaking by removing the hay bale, or removing other luggage, or freeing it from its rider.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "In the same way, people can be exposed to different risk factors simultaneously, and they can overlap and interact with each other.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "A real-life example is that DNA mutations can be caused by many carcinogens and some pathogens. Our cells have \u2018checkpoints\u2019 that prevent DNA mutations from leading to cancer. But, if a sufficient number of mutations occur, they will surpass the checkpoint, and a tumor can develop. This can eventually lead to death.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "If people have multiple risk factors, then it\u2019s more likely that the threshold will be surpassed. Having one risk factor can also make someone more vulnerable to another risk factor later on.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "This means their death can be prevented in multiple ways. Liver cancer, for example, can be caused by chronic alcohol consumption and some hepatitis viruses, so\u00a0reducing alcohol consumption or preventing hepatitis virus infections would both reduce the risk of death.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "text": [ { "text": "A worked example", "spanType": "span-simple-text" } ], "type": "heading", "level": 2, "parseErrors": [] }, { "type": "text", "value": [ { "text": "In the figure, I have illustrated this with a worked example.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "It shows that when multiple risk factors are present, the number (or fraction) of deaths from risk factors can\u2019t be simply summed up.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "size": "wide", "type": "image", "filename": "Multiple-risk-factors-1&2.png", "parseErrors": [] }, { "type": "text", "value": [ { "text": "Above you can see five hypothetical people who died and their previous exposure to risk factors. In pink, you can see their risk from hepatitis C virus, in blue is their risk from smoking, and in yellow is their risk from alcohol consumption.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Each risk factor increased their chance of death, according to the amount of exposure they\u2019ve had. Some of the containers are full \u2013\u00a0this shows that some people have had sufficient risk exposure to cause death within a given timeframe.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Let\u2019s look at what happens if some of the risk factors were removed.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "size": "wide", "type": "image", "filename": "Multiple-risk-factors-3.png", "parseErrors": [] }, { "type": "text", "value": [ { "text": "If one risk factor \u2013 for example, hepatitis C \u2013 was removed, it reduced the number of deaths by 60%. This is known as the population-attributable fraction of hepatitis C, which means that 60% of deaths were caused by hepatitis C, in the hypothetical example.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "size": "wide", "type": "image", "filename": "Multiple-risk-factors-4.png", "parseErrors": [] }, { "type": "text", "value": [ { "text": "If a different risk factor \u2013\u00a0smoking \u2013 was removed, it also reduced the number of deaths by 60%. So 60% of deaths were also caused by smoking.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "size": "wide", "type": "image", "filename": "Multiple-risk-factors-5.png", "parseErrors": [] }, { "type": "text", "value": [ { "text": "How many deaths were caused by both of them, taken together? If both risk factors were removed, the number of deaths was reduced by 80%,\u00a0not 120%.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "This illustrates how the deaths from risk factors are not additive \u2013\u00a0they cannot be added up, and they do not sum up to 100%.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Similarly, if two risk factors have a population-attributable fraction of 50% and 30%, it does not mean that 20% of deaths are caused by unexplained risk factors.", "spanType": "span-simple-text" }, { "url": "#note-1", "children": [ { "children": [ { "text": "1", "spanType": "span-simple-text" } ], "spanType": "span-superscript" } ], "spanType": "span-ref" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Instead, researchers can use other methods to understand the combined contribution of multiple risk factors. These estimates are based on the order of risk factors: for example, they may look at the share of deaths caused by obesity ", "spanType": "span-simple-text" }, { "children": [ { "text": "after ", "spanType": "span-simple-text" } ], "spanType": "span-italic" }, { "text": "smoking has been accounted for.", "spanType": "span-simple-text" }, { "url": "#note-2", "children": [ { "children": [ { "text": "2", "spanType": "span-simple-text" } ], "spanType": "span-superscript" } ], "spanType": "span-ref" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "By interpreting the fractions correctly, we can have a better understanding of the impact of different risk factors combined.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Below, you can see the full illustration.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "size": "wide", "type": "image", "filename": "Multiple-risk-factors-full-1.png", "parseErrors": [] }, { "text": [ { "text": "Conclusion", "spanType": "span-simple-text" } ], "type": "heading", "level": 2, "parseErrors": [] }, { "type": "text", "value": [ { "text": "Although it may sound simple to attribute a person\u2019s death to a single risk factor, this is usually not straightforward. Over a lifetime, people are exposed to various risk factors, which can overlap and interact with each other. This also means the same deaths can be prevented in multiple ways.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "By understanding the effects of different risk factors, we can identify better ways to save lives.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "text": [ { "type": "text", "value": [ { "text": "I would like to thank Edouard Mathieu, Hannah Ritchie, and Max Roser for their valuable feedback on this article.", "spanType": "span-simple-text" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "I\u2019m also very grateful to Julia Rohrer and Ruben Arslan for inspiring the analogy & figure to explain why multiple risk factors can\u2019t be summed up.", "spanType": "span-simple-text" } ], "parseErrors": [] } ], "type": "callout", "title": "Acknowledgements", "parseErrors": [] } ], "refs": { "errors": [], "definitions": { "053de251c9279a0b19468540519fcab2925a0e24": { "id": "053de251c9279a0b19468540519fcab2925a0e24", "index": 0, "content": [ { "type": "text", "value": [ { "text": "Rowe, A. K., Powell, K. E., & Flanders, W. D. (2004). Why population-attributable fractions can sum to more than one. American Journal of Preventive Medicine, 26(3), 243\u2013249. ", "spanType": "span-simple-text" }, { "url": "https://doi.org/10.1016/j.amepre.2003.12.007", "children": [ { "text": "https://doi.org/10.1016/j.amepre.2003.12.007", "spanType": "span-simple-text" } ], "spanType": "span-link" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "Pearce, N. (2011). Epidemiology in a changing world: Variation, causation and ubiquitous risk factors. International Journal of Epidemiology, 40(2), 503\u2013512. ", "spanType": "span-simple-text" }, { "url": "https://doi.org/10.1093/ije/dyq257", "children": [ { "text": "https://doi.org/10.1093/ije/dyq257", "spanType": "span-simple-text" } ], "spanType": "span-link" } ], "parseErrors": [] } ], "parseErrors": [] }, "8440fdee32e1ddff88fe5ae3286fc8fb6989c4c4": { "id": "8440fdee32e1ddff88fe5ae3286fc8fb6989c4c4", "index": 1, "content": [ { "type": "text", "value": [ { "text": "Poole, C. (2015). A history of the population attributable fraction and related measures. ", "spanType": "span-simple-text" }, { "children": [ { "text": "Annals of Epidemiology", "spanType": "span-simple-text" } ], "spanType": "span-italic" }, { "text": ", ", "spanType": "span-simple-text" }, { "children": [ { "text": "25", "spanType": "span-simple-text" } ], "spanType": "span-italic" }, { "text": "(3), 147\u2013154.", "spanType": "span-simple-text" }, { "url": "https://doi.org/10.1016/j.annepidem.2014.11.015", "children": [ { "text": " ", "spanType": "span-simple-text" } ], "spanType": "span-link" }, { "url": "https://doi.org/10.1016/j.annepidem.2014.11.015", "children": [ { "text": "https://doi.org/10.1016/j.annepidem.2014.11.015", "spanType": "span-simple-text" } ], "spanType": "span-link" } ], "parseErrors": [] }, { "type": "text", "value": [ { "text": "R\u00fcckinger, S., Von Kries, R., & Toschke, A. M. (2009). An illustration of and programs estimating attributable fractions in large scale surveys considering multiple risk factors. BMC Medical Research Methodology, 9(1), 7. ", "spanType": "span-simple-text" }, { "url": "https://doi.org/10.1186/1471-2288-9-7", "children": [ { "text": "https://doi.org/10.1186/1471-2288-9-7", "spanType": "span-simple-text" } ], "spanType": "span-link" } ], "parseErrors": [] } ], "parseErrors": [] } } }, "type": "article", "title": "Why isn\u2019t it possible to sum up the death toll from different risk factors?", "authors": [ "Saloni Dattani" ], "excerpt": "Deaths caused by each risk factor can\u2019t be added up. By understanding why, we will have a better understanding of how many lives can be saved with each intervention.", "dateline": "August 9, 2023", "subtitle": "Deaths caused by each risk factor can\u2019t be added up. By understanding why, we will have a better understanding of how many lives can be saved with each intervention.", "featured-image": "deaths-from-risk-factors-thumbnail.png" } |
1 | 2023-08-07 08:56:10 | 2023-08-09 13:02:08 | 2023-12-28 16:31:12 | listed | ALBJ4LsGgy3ly6HIkOTnF9tdcNCWAkJHK5tQ7lQQifKDlrpyp7SRuJfjuBc9848A8DQN7ebnvtOm4a_ScGFB5w | People may be exposed to different risk factors over their lifetime – like smoking, air pollution and obesity – which can increase their risk of disease and death. However, the number of deaths caused by each risk factor can’t simply be added up. In this article, I explain why not – and why this is important. ## How to understand this concept There are several reasons why the number of deaths caused by each risk factor can’t simply be added up. One reason is that multiple risk factors can contribute to a person’s death. Another reason is that these risk factors can interact with each other. A simple analogy to understand this idea is with the idiom “the straw that broke the camel’s back.” A camel carrying many items can eventually break its back, even though individual items are light enough to be carried. We could prevent the camel’s back from breaking by removing the hay bale, or removing other luggage, or freeing it from its rider. In the same way, people can be exposed to different risk factors simultaneously, and they can overlap and interact with each other. A real-life example is that DNA mutations can be caused by many carcinogens and some pathogens. Our cells have ‘checkpoints’ that prevent DNA mutations from leading to cancer. But, if a sufficient number of mutations occur, they will surpass the checkpoint, and a tumor can develop. This can eventually lead to death. If people have multiple risk factors, then it’s more likely that the threshold will be surpassed. Having one risk factor can also make someone more vulnerable to another risk factor later on. This means their death can be prevented in multiple ways. Liver cancer, for example, can be caused by chronic alcohol consumption and some hepatitis viruses, so reducing alcohol consumption or preventing hepatitis virus infections would both reduce the risk of death. ## A worked example In the figure, I have illustrated this with a worked example. It shows that when multiple risk factors are present, the number (or fraction) of deaths from risk factors can’t be simply summed up. <Image filename="Multiple-risk-factors-1&2.png"/> Above you can see five hypothetical people who died and their previous exposure to risk factors. In pink, you can see their risk from hepatitis C virus, in blue is their risk from smoking, and in yellow is their risk from alcohol consumption. Each risk factor increased their chance of death, according to the amount of exposure they’ve had. Some of the containers are full – this shows that some people have had sufficient risk exposure to cause death within a given timeframe. Let’s look at what happens if some of the risk factors were removed. <Image filename="Multiple-risk-factors-3.png"/> If one risk factor – for example, hepatitis C – was removed, it reduced the number of deaths by 60%. This is known as the population-attributable fraction of hepatitis C, which means that 60% of deaths were caused by hepatitis C, in the hypothetical example. <Image filename="Multiple-risk-factors-4.png"/> If a different risk factor – smoking – was removed, it also reduced the number of deaths by 60%. So 60% of deaths were also caused by smoking. <Image filename="Multiple-risk-factors-5.png"/> How many deaths were caused by both of them, taken together? If both risk factors were removed, the number of deaths was reduced by 80%, not 120%. This illustrates how the deaths from risk factors are not additive – they cannot be added up, and they do not sum up to 100%. Similarly, if two risk factors have a population-attributable fraction of 50% and 30%, it does not mean that 20% of deaths are caused by unexplained risk factors.1 Instead, researchers can use other methods to understand the combined contribution of multiple risk factors. These estimates are based on the order of risk factors: for example, they may look at the share of deaths caused by obesity _after _smoking has been accounted for.2 By interpreting the fractions correctly, we can have a better understanding of the impact of different risk factors combined. Below, you can see the full illustration. <Image filename="Multiple-risk-factors-full-1.png"/> ## Conclusion Although it may sound simple to attribute a person’s death to a single risk factor, this is usually not straightforward. Over a lifetime, people are exposed to various risk factors, which can overlap and interact with each other. This also means the same deaths can be prevented in multiple ways. By understanding the effects of different risk factors, we can identify better ways to save lives. <Callout title="Acknowledgements"/> Rowe, A. K., Powell, K. E., & Flanders, W. D. (2004). Why population-attributable fractions can sum to more than one. American Journal of Preventive Medicine, 26(3), 243–249. [https://doi.org/10.1016/j.amepre.2003.12.007](https://doi.org/10.1016/j.amepre.2003.12.007) Pearce, N. (2011). Epidemiology in a changing world: Variation, causation and ubiquitous risk factors. International Journal of Epidemiology, 40(2), 503–512. [https://doi.org/10.1093/ije/dyq257](https://doi.org/10.1093/ije/dyq257) Poole, C. (2015). A history of the population attributable fraction and related measures. _Annals of Epidemiology_, _25_(3), 147–154.[ ](https://doi.org/10.1016/j.annepidem.2014.11.015)[https://doi.org/10.1016/j.annepidem.2014.11.015](https://doi.org/10.1016/j.annepidem.2014.11.015) Rückinger, S., Von Kries, R., & Toschke, A. M. (2009). An illustration of and programs estimating attributable fractions in large scale surveys considering multiple risk factors. BMC Medical Research Methodology, 9(1), 7. [https://doi.org/10.1186/1471-2288-9-7](https://doi.org/10.1186/1471-2288-9-7) | Why isn’t it possible to sum up the death toll from different risk factors? |