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{{Short description|Unit of risk – one-in-a-million chance of death}}
{{about|the measure of mortality risk|the computer program|Micromort (software)}} {{about|the measure of mortality risk|the computer program|Micromort (software)}}
{{Use dmy dates|date=June 2020}}


A '''micromort''' is a unit of ] measuring a one-in-a-million ] of ] (from ] and ]). Micromorts can be used to measure riskiness of various day-to-day activities. A '''microprobability''' is a one-in-a million chance of some event; thus a micromort is the microprobability of death. The micromort concept was introduced by ] who pioneered the modern practice of ].<ref>{{cite conference A '''micromort''' (from ] and ]) is a unit of ] defined as a one-in-a-million chance of ].<ref>{{cite journal |last1=Fry |first1=A.M. |last2=Harrison |first2=A. |last3=Daigneault |first3=M. |title=Micromorts - what is the risk? |journal=British Journal of Oral and Maxillofacial Surgery |date=February 2016 |volume=54 |issue=2 |pages=230–231 |doi=10.1016/j.bjoms.2015.11.023 |pmid=26747014 }}</ref><ref>{{cite journal |last1=Walker |first1=KF |last2=Cohen |first2=AL |last3=Walker |first3=SS |last4=Allen |first4=KM |last5=Baines |first5=DL |last6=Thornton |first6=Jg |title=The dangers of the day of birth |journal=BJOG |date=May 2014 |volume=121 |issue=6 |pages=714–718 |doi=10.1111/1471-0528.12544 |pmid=24521517 |s2cid=24808758 }}</ref> Micromorts can be used to measure the riskiness of various day-to-day activities. A '''microprobability''' is a one-in-a million chance of some event; thus, a micromort is the microprobability of death. The micromort concept was introduced by ] who pioneered the modern practice of ].<ref>{{cite conference
|last=Howard |first=R. A. |authorlink=Ronald A. Howard |last=Howard |first=R. A. |author-link=Ronald A. Howard
|title=On making life and death decisions |title=On making life and death decisions
|editor= J. Richard, C. Schwing, Walter A. Albers |editor= J. Richard |editor2=C. Schwing |editor3=Walter A. Albers
|conference=Societal Risk Assessment: How Safe Is Safe Enough? General Motors Research Laboratories |conference=Societal Risk Assessment: How Safe Is Safe Enough? General Motors Research Laboratories
|publisher=Plenum Press |location=New York |publisher=Plenum Press |location=New York
|id=ISBN 0306405547 |year=1980 |isbn=0306405547 |year=1980
}}</ref> }}</ref>


Micromorts for future activities can only be rough assessments, as specific circumstances will always have an impact. However, past historical rates of events can be used to provide a rough estimate.
==Human values==

===Money===
== Sample values ==
An application of micromorts is measuring the value that humans place on risk: for example, one can consider the amount of money one would have to pay a person to get him or her to accept a one-in-a-million chance of death (or conversely the amount that someone might be willing to pay to avoid a one-in-a-million chance of death). When put thus people claim a high number but when inferred from their day-to-day actions (e.g., how much they are willing to pay for safety features on cars) a typical value is around $50 (in 2009).<ref>{{cite journal
===Baseline===
| last=Howard |first=R. A. |authorlink=Ronald A. Howard
{| class="wikitable" style="text-align: center"
! Death from !! Context !! Time period !! N deaths !! N population !! Micromorts per unit of exposure!! Reference
|-
| rowspan="3" |All causes
|England and Wales
|2012
|499,331
|56,567,000
|24 per day <br /> 8,800 per year
|ONS Deaths<ref name="ONS1">{{cite web |url=http://www.ons.gov.uk/ons/dcp171778_331565.pdf |title=Deaths Registered in England and Wales (Series DR), 2012 |publisher=Office for National Statistics |date=2013-10-22 |access-date=2014-06-03 |archive-date=6 June 2014 |archive-url=https://web.archive.org/web/20140606215559/http://www.ons.gov.uk/ons/dcp171778_331565.pdf |url-status=live }}</ref> Table 5.
|-
|Canada
|2011
|242,074
|33,476,688
|20 per day <br /> 7,200 per year
|Statistics Canada<ref name=StatsCan>{{cite web|title=Leading causes of death, by sex (Both sexes)|url=http://www.statcan.gc.ca/tables-tableaux/sum-som/l01/cst01/hlth36a-eng.htm|website=Statistics Canada|access-date=14 August 2015|archive-date=24 September 2015|archive-url=https://web.archive.org/web/20150924130923/http://www.statcan.gc.ca/tables-tableaux/sum-som/l01/cst01/hlth36a-eng.htm|url-status=live}}</ref>
|-
|US
|2010
|2,468,435
|308,500,000
|22 per day <br /> 8,000 per year
|CDC Deaths<ref name="CDC1">{{cite web |url=https://www.cdc.gov/nchs/data/nvsr/nvsr61/nvsr61_04.pdf |location=US |title=Deaths: Final Data for 2010 |author1=SL Murphy |author2=J Xu |author3=KD Kochanek |name-list-style=amp |publisher= ] |date=2013-05-08 |access-date=2014-06-03 |archive-date=11 May 2015 |archive-url=https://web.archive.org/web/20150511223214/http://www.cdc.gov/nchs/data/nvsr/nvsr61/nvsr61_04.pdf |url-status=live }}</ref> Table 18.
|-
| rowspan="2" |Non-natural cause
|England and Wales
|2012
|17,462
|56,567,000
|0.8 per day <br /> 300 per year
|ONS Deaths<ref name="ONS1" /> Table 5.19.
|-
|US
|2010
|180,000
|308,500,000
|1.6 per day <br /> 580 per year
|CDC Deaths<ref name="CDC1" /> Table 18
|-
| rowspan="2" |Non-natural cause (excluding suicide)
|England and Wales
|2012
|12,955
|56,567,000
|0.6 per day <br /> 230 per year
|ONS Suicides<ref name="suicides" >{{cite web |url=http://www.ons.gov.uk/ons/rel/subnational-health4/suicides-in-the-united-kingdom/2012/stb-uk-suicides-2012.html#tab-Suicides-in-England-and-Wales |title=Suicides in the United Kingdom, 2012 Registrations |publisher=Office for National Statistics |date=2014-02-18 |access-date=2014-06-11 |archive-date=13 May 2014 |archive-url=https://web.archive.org/web/20140513052104/http://www.ons.gov.uk/ons/rel/subnational-health4/suicides-in-the-united-kingdom/2012/stb-uk-suicides-2012.html#tab-Suicides-in-England-and-Wales |url-status=live }}</ref>
|-
|US
|2010
|142,000
|308,500,000
|1.3 per day <br /> 460 per year
|CDC Deaths<ref name="CDC1" /> Table 18.
|-
| rowspan="2" |All causes – first day of life
|England and Wales
|2007
|
|
|430 per first day of life
|Walker, 2014<ref name="BJOG1">{{cite journal |title=The dangers of the day of birth |author1=KF Walker |author2=AL Cohen |author3=SH Walker |author4=KM Allen |author5=DL Baines |author6=JG Thornton |publisher=] |journal=British Journal of Obstetrics and Gynaecology |date=2014-02-13 |doi=10.1111/1471-0528.12544 |pmid=24521517 |volume=121 |issue=6 |pages=714–8|s2cid=24808758 |location=London}}</ref>
|-
|US
|2013
|
|
|16.7 per day <br> 6100 per year
|CDC Life Tables<ref name=cdcLife>{{cite web|title=Life Tables|url=https://www.cdc.gov/nchs/products/life_tables.htm|website=cdc.gov|publisher=]|access-date=24 November 2013|date=2013|archive-date=26 November 2013|archive-url=https://web.archive.org/web/20131126224714/http://www.cdc.gov/nchs/products/life_tables.htm|url-status=live}}</ref> <br> Blastland & Spiegelhalter, 2014<ref name=normChron>{{cite book|last1=Blastland|first1=Michael|last2=Spiegelhalter|first2=David|title=The Norm Chronicles: Stories and Numbers About Danger and Death|date=2014|publisher=Basic Books|isbn=9780465085705|page=14|edition=1}}</ref>
|-
|Murder/homicide
|England and Wales
|2012/13
|551
|56,567,000
|10 per year
|ONS Crime<ref>{{Cite web
| publisher = ]
| title = Crime Statistics, Focus on Violent Crime and Sexual Offences, 2012/13 – ONS
| access-date = 2014-06-12
| url = http://www.ons.gov.uk/ons/rel/crime-stats/crime-statistics/focus-on-violent-crime-and-sexual-offences--2012-13/index.html
| date = 2014-02-13
| archive-date = 8 April 2014
| archive-url = https://web.archive.org/web/20140408220732/http://www.ons.gov.uk/ons/rel/crime-stats/crime-statistics/focus-on-violent-crime-and-sexual-offences--2012-13/index.html
| url-status = live
}}</ref>
|-
|]
|Canada
|2011
|527
|33,476,688
|15 per year
|Statistics Canada<ref name=StatsCanada2011>{{cite web|title=Leading causes of death, total population, by age group and sex, Canada|url=http://www5.statcan.gc.ca/cansim/a26?lang=eng&retrLang=eng&id=1020561&paSer=&pattern=&stByVal=1&p1=1&p2=37&tabMode=dataTable&csid=|website=Statistics Canada|date=26 November 2020|access-date=14 August 2015|archive-date=3 July 2013|archive-url=https://web.archive.org/web/20130703044031/http://www5.statcan.gc.ca/cansim/a26?lang=eng&retrLang=eng&id=1020561&paSer=&pattern=&stByVal=1&p1=1&p2=37&tabMode=dataTable&csid=|url-status=live}}</ref>
|-
|Murder and non-negligent ]
|US
|2012
|14,173
|292,000,000
|48 per year
|FBI<ref>{{Cite web
| publisher = ]
| title = Crime in the United States, 2012: Table 16
| work = FBI
| access-date = 2014-06-12
| url = https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2012/crime-in-the-u.s.-2012/tables/16tabledatadecpdf/table_16_rate_by_population_group_2012.xls
| archive-date = 29 May 2016
| archive-url = https://web.archive.org/web/20160529074718/https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2012/crime-in-the-u.s.-2012/tables/16tabledatadecpdf/table_16_rate_by_population_group_2012.xls/
| url-status = live
}}</ref> Table 16
|}

===Leisure and sport===
{| class="wikitable" style="text-align: center"
! Death from !! Context !! Time period !! N deaths !! N exposure !! Micromorts per unit of exposure !! Reference
|-
| rowspan="3" |]
|UK: BSAC members
|1998–2009
|75
|14,000,000 dives
|5 per dive
|BSAC<ref name="BSAC">{{Cite web
|last = British Sub-Aqua Club
|title = UK Diving Fatalities Review
|access-date = 2014-06-12
|url = http://www.bsac.com/page.asp?section=3780&sectionTitle=UK+Diving+Fatalities+Review
|url-status = dead
|archive-url = https://web.archive.org/web/20140728111842/http://www.bsac.com/page.asp?section=3780&sectionTitle=UK+Diving+Fatalities+Review
|archive-date = 28 July 2014}}</ref>
|-
|UK: non-BSAC
|1998–2009
|122
|12,000,000 dives
|10 per dive
|BSAC<ref name="BSAC" />
|-
|US – insured members of DAN
|2000–2006
|187
|1,131,367 members
|164 per year as member of DAN <br /> 5 per dive
|DAN<ref name="DAN">{{Cite web
| last = Divers Alert Network (DAN)
| title = Fatalities_Proceedings.pdf
| access-date = 2014-06-12
| url = http://www.diversalertnetwork.org/files/Fatalities_Proceedings.pdf
| archive-date = 16 January 2015
| archive-url = https://web.archive.org/web/20150116220829/http://www.diversalertnetwork.org/files/Fatalities_Proceedings.pdf
| url-status = live
}}</ref> p75
|-
|]
|Turkey
|2004–2011
|18
|242,355 flights
|74 per launch
|Canbek 2015<ref>{{Cite journal
| doi = 10.5847/wjem.j.1920-8642.2015.03.011
| pmid = 26401185
| volume = 6
| issue = 3
| pages = 221–224
| last = Canbek
| first = Umut
| author2=Ahmet İmerci|author3=Ulaş Akgün|author4=Murat Yeşil|author5=Ali Aydin|author6=Yasemin Balci
| title = Characteristics of injuries caused by paragliding accidents: A cross-sectional study
| journal = World Journal of Emergency Medicine
| date = 2015-09-01
| pmc = 4566014
}}</ref>
|-
|]
|US
|2008/9
|39
|57,000,000 days skiing
|0.7 per day
|Ski-injury.com<ref>{{Cite web
|last = Ski-injury.com
|title = Ski Injury
|access-date = 2014-06-12
|url = http://www.ski-injury.com/intro
|url-status = dead
|archive-url = https://web.archive.org/web/20140528075539/http://www.ski-injury.com/intro
|archive-date = 28 May 2014}}</ref>{{Unreliable source?|certain=yes|date=February 2024}}
|-
| rowspan="2" |]
|US
|2000–2016
|413
|48,600,000 jumps
|8 per jump
|USPA<ref>{{Cite web
| last = United States Parachute Association
| title = Skydiving Safety
| access-date = 2018-04-10
| url = https://uspa.org/Find/FAQs/Safety
| archive-date = 22 August 2018
| archive-url = https://web.archive.org/web/20180822014822/https://uspa.org/Find/FAQs/Safety
| url-status = live
}}</ref>
|-
|UK
|1994–2013
|41
|4,864,268 jumps
|8 per jump
|BPA<ref>{{Cite web
| last = British Parachute Association
| title = How Safe
| access-date = 2014-06-12
| date = 2012
| url = http://www.bpa.org.uk/staysafe/how-safe/
| archive-url = https://web.archive.org/web/20140727093743/http://www.bpa.org.uk/staysafe/how-safe/
| archive-date = 27 July 2014
| url-status = dead
}}</ref>
|-
|]
|Kjerag Massif, Norway
|1995–2005
|9
|20,850 jumps
|430 per jump
|Soreide 2007<ref>{{cite journal |last1=Soreide |first1=Kjetil |last2=Ellingsen |first2=Christian Lycke |last3=Knutson |first3=Vibeke |title=How Dangerous is BASE Jumping? An Analysis of Adverse Events in 20,850 Jumps From the Kjerag Massif, Norway |journal=The Journal of Trauma: Injury, Infection, and Critical Care |date=May 2007 |volume=62 |issue=5 |pages=1113–1117 |doi=10.1097/01.ta.0000239815.73858.88 |pmid=17495709 }}</ref>
|-
| rowspan="2" |]
|Ascent to Matterhorn
|1981–2011
|213
|about 75,000 ascents
(about 2500 per year)
|about 2,840 per ascent attempt
|Bachmann 2012<ref name="Beobachter">{{cite magazine|title=Tod am Matterhorn|magazine=]|url=https://www.beobachter.ch/sites/default/files/fileadmin/dateien/pdf/Infografiken/Fokus_Matterhorn_N_07-12.pdf|language=de|last=Bachmann|first=Stefan|date=September 2012}}</ref>
|-
|Ascent to Mt. Everest
|1922–2012
|223
|5,656 successful ascents
|37,932 per successful ascent
|NASA 2013<ref>{{cite web|url=http://earthobservatory.nasa.gov/IOTD/view.php?id=82578|title=The World's Tallest Mountain|date=2 January 2014|work=Earth Observatory|publisher=NASA|access-date=25 October 2014|archive-date=25 October 2014|archive-url=https://web.archive.org/web/20141025063724/http://earthobservatory.nasa.gov/IOTD/view.php?id=82578|url-status=live}}</ref>
|}

===Travel===
Activities that increase the death risk by roughly one micromort, and their associated cause of death:
* Travelling 6 miles (9.7&nbsp;km) by ] (collision)<ref name="Understanding" />
* Travelling 17 miles (27&nbsp;km) by ] (collision)<ref name="Understanding">{{cite web|title=Understanding Uncertainty|date=12 July 2010|url=https://plus.maths.org/content/os/issue55/features/risk/index|publisher=Plus Magazine|access-date=22 July 2020|archive-date=4 August 2020|archive-url=https://web.archive.org/web/20200804110023/https://plus.maths.org/content/os/issue55/features/risk/index|url-status=live}}</ref>
* Travelling 10 miles (16&nbsp;km)<ref name="howard" /> or 20 miles (32&nbsp;km)<ref name="Understanding"/> by ] (collision){{efn|however due to the ] the net effect of cycling on ] is likely positive in most cases<ref>{{cite journal |last1=de Hartog |first1=Jeroen Johan |last2=Boogaard |first2=Hanna |last3=Nijland |first3=Hans |last4=Hoek |first4=Gerard |title=Do the Health Benefits of Cycling Outweigh the Risks? |journal=Environmental Health Perspectives |date=August 2010 |volume=118 |issue=8 |pages=1109–1116 |doi=10.1289/ehp.0901747 |pmid=20587380 |pmc=2920084 |bibcode=2010EnvHP.118.1109D }}</ref>}}
* Travelling 230 miles (370&nbsp;km) by ] (collision) (or 250 miles)<ref name="Understanding"/>
* Travelling 1,000 miles (1,600&nbsp;km) by ] (collision)<ref name="howard" />
* Travelling 6,000 miles (10,000&nbsp;km) by ] (collision)<ref>{{cite report|date=March 2023 |title=Safety Overview 2023 |url=https://www.era.europa.eu/system/files/2023-03/Safety%20Overview%202023.pdf |publisher=European Union Agency For Railways |at=p. 7, fig. 6 }}</ref>

=== Other ===
Increase in death risk for other activities on a per-event basis:
* ] – 8 micromorts per flight<ref name="Understanding" />
* ] (MDMA) – 0.5 micromorts per tablet, rising to 13 if using other drugs<ref name="acmdMDMA2009">{{cite web|publisher=] |title= MDMA ('ecstasy'): a review of its harms and classification under the Misuse of Drugs Act 1971 |location=London|date=2009 |page=18 |url=http://www.homeoffice.gov.uk/publications/agencies-public-bodies/acmd1/mdma-report |archive-url=https://web.archive.org/web/20121005073938/http://www.homeoffice.gov.uk/publications/agencies-public-bodies/acmd1/mdma-report |archive-date=5 October 2012 |via=]}}</ref><ref>{{cite book|last1=Blastland|first1=Michael|last2=Spiegelhalter|first2=David|title=The Norm Chronicles: Stories and Numbers About Danger and Death|date=2014|publisher=Basic Books|isbn=9780465085705|page=8|edition=1}}</ref>
* Giving birth (]) – 120 micromorts<ref name=":0">{{Cite book|title=The Norm Chronicles: Stories and numbers about danger|last1=Spiegelhalter|first1=David|last2=Blastland|first2=Michael|date=2013-05-30|publisher=Profile Books|isbn=9781846686207|edition=Main |location=London|language=en}}</ref>
* Giving birth (]) – 170 micromorts<ref name=":0" />
* ] vaccination against ] – 2.9 micromorts<ref>{{cite news|title=Coronaimpfung und Risikoabwägung: Einmal impfen ist weniger riskant als eine Woche Skiurlaub|periodical=|publisher=|url=https://www.spiegel.de/gesundheit/diagnose/corona-impfung-und-risikoabwaegung-einmal-impfen-ist-weniger-riskant-als-eine-woche-skiurlaub-a-6438059e-06e0-4340-add3-cc9b07a5f501|url-status=live|format=|access-date=2021-06-11|archive-url=https://web.archive.org/web/20220218102607/https://www.spiegel.de/gesundheit/diagnose/corona-impfung-und-risikoabwaegung-einmal-impfen-ist-weniger-riskant-als-eine-woche-skiurlaub-a-6438059e-06e0-4340-add3-cc9b07a5f501|archive-date=18 February 2022|last=Nina Weber, DER SPIEGEL|newspaper=Der Spiegel|date=22 April 2021|language=de|pages=|quote=}}</ref>
* ] infection at age 10 – 20 micromorts
* COVID-19 infection at age 25 – 100 micromorts
* COVID-19 infection at age 55 – 4,000 micromorts
* COVID-19 infection at age 65 – 14,000 micromorts
* COVID-19 infection at age 75 – 46,000 micromorts
* COVID-19 infection at age 85 – 150,000 micromorts ({{as of|2020|12}})<ref name="EJE_levinetal">{{cite journal | vauthors = Levin AT, Hanage WP, Owusu-Boaitey N, Cochran KB, Walsh SP, Meyerowitz-Katz G | title = Assessing the age specificity of infection fatality rates for COVID-19: systematic review, meta-analysis, and public policy implications | journal = European Journal of Epidemiology | volume = 35 | issue = 12 | pages = 1123–1138 | date = December 2020 | pmid = 33289900 | pmc = 7721859 | doi = 10.1007/s10654-020-00698-1 | doi-access = free }} ] Text was copied from this source, which is available under a {{Webarchive|url=https://web.archive.org/web/20171016050101/https://creativecommons.org/licenses/by/4.0/ |date=16 October 2017 }}.</ref>

== Value of a micromort ==
=== Willingness to pay ===
An application of micromorts is measuring the value that humans place on risk. For example, a person can consider the amount of money they would be ] to avoid a one-in-a-million chance of death (or conversely, the amount of money ] a one-in-a-million chance of death). When offered this situation, people claim a high number. However, when looking at their day-to-day actions (e.g., how much they are willing to pay for safety features on cars), a typical value for a micromort is around $50 (in 2009).<ref>{{cite journal
| last=Howard |first=R. A. |author-link=Ronald A. Howard
| title=Microrisks for Medical Decision Analysis | title=Microrisks for Medical Decision Analysis
| journal=International Journal of Technology Assessment in Health Care | journal=International Journal of Technology Assessment in Health Care
Line 22: Line 298:
| doi=10.1017/S026646230000742X | doi=10.1017/S026646230000742X
| issue=3 | issue=3
}}</ref><ref>{{cite book |s2cid=37558060 }}</ref><ref name="russell">{{cite book
| last=Russell |first=Stuart | last1=Russell |first1=Stuart
|last2=Norvig |first2=Peter |last2=Norvig |first2=Peter
| title=Artificial Intelligence | title=Artificial Intelligence
|edition=3rd |edition=3rd
|isbn=0136042597 |isbn=978-0-13-604259-4
|publisher=Prentice Hall |publisher=Prentice Hall
| year=2009 | year=2009
|page=616 |page=616
}}</ref> This is not to say the $50 valuation should be taken to mean that a human life (1 million micromorts) is valued at $50,000,000. Rather, people are ] to increase their safety. This means that analyzing risk using the micromort is more useful when using small risks, not necessarily large ones.<ref name="russell"/>
}}</ref>


=== Value of a statistical life ===
===Baseline===
Government agencies use a nominal ] (VSL) – or ] (VPF) – to evaluate the cost-effectiveness of expenditure on safeguards. For example, in the UK, the VSL is £1&nbsp;million&nbsp;] in 1997 value (equivalent to £{{Inflation|GBP|1|1997|r=0}}&nbsp;million in {{Inflation/year|UK}}{{Inflation/fn|UK}}).<ref>{{cite book|publisher=] |title=Transport analysis guidance |chapter= Unit A4.1: Social Impact Appraisal |date=January 2014 |location=London |author=] |url=https://www.gov.uk/guidance/transport-analysis-guidance-tag|chapter-url=https://assets.publishing.service.gov.uk/media/63a32a8d8fa8f539198d9bf3/TAG_Unit_A4.1_-_Social-impact-appraisal_Nov_2022_Accessible_v1.0.pdf.pdf |page=6 }}</ref> Since road improvements have the effect of lowering the risk of large numbers of people by a small amount, the ] essentially prices a reduction of 1 micromort at £1.60. The ] uses a VSL of US$6.2 million, pricing a micromort at US$6.20.<ref>US Department of Transportation, "Treatment of the Economic Value of a Statistical Life in Departmental Analyses—2011 Interim Adjustment", 2011, http://www.dot.gov/policy/transportation-policy/treatment-economic-value-statistical-life {{Webarchive|url=https://web.archive.org/web/20141102191532/http://www.dot.gov/policy/transportation-policy/treatment-economic-value-statistical-life |date=2 November 2014 }}</ref>
The average risk of dying per day can be calculated from the average lifetime. Assuming this is 80 years, that means there is one death for every 30,000 days lived (80 x 365 = 29,200). The number of micromorts per day is one million divided by that number of days; in this case, about 33 micromorts. This is just an average across an entire population: the number of micromorts per day will vary across different categories of people, such as by age, sex and lifestyle. An alternative way of getting the same figure is to take the number of people dying each day in the UK (about 500,000), and divide it by the total population (60 million). These figures include all deaths. When natural deaths are excluded, the result measures the risk of premature death, which is roughly one micromort per day. In the UK, approximately 18,000 people die each day, on average, from non-natural causes
<ref>ONS Mortality statistics , UK ''Office of National Statistics'' 2009, ISSN 1757–1375, accessed 2010-12-08</ref>).


===Additional=== ==Chronic risks==
Micromorts are best used to measure the size of ''acute'' risks, i.e. immediate deaths. Risks from lifestyle, exposure to air pollution, and so on are ''chronic'' risks, in that they do not kill straight away, but reduce life expectancy. Ron Howard included such risks in his original 1979 work,<ref name="howard" /> for example, an additional one micromort from:
Risks that increase the annual death risk by one micromort, and their associated cause of death:<ref>http://stanford-online.stanford.edu/sdrmda61w/session10b/slides/sld031.htm</ref>
* Drinking 0.5 liter of ] (cirrhosis of the liver)<ref name="howard">* Howard, Ron (Slide show), Stanford University</ref>
<ref>{{cite web|last=Wilson|first=Richard|title=Analyzing the Risks of Daily Life|url=http://tobaccodocuments.org/lor/03732381-2387.html|publisher=Technology Review|accessdate=2011-03-16}}</ref>
* ] 1.4 cigarettes (cancer, heart disease)<ref name="howard"/>
* Spending 1 hour in a coal mine (black lung disease)<ref name="howard" />
* Spending 3 hours in a coal mine (accident)<ref name="howard" />
* Living 2 days in New York or Boston in 1979 (air pollution)<ref name="howard" />
* Living 2 months with a smoker (cancer, heart disease)<ref name="howard" />
* Drinking Miami water for 1 year (cancer from chloroform)<ref name="howard" />
* Eating 100 charcoal-broiled steaks (cancer from benzopyrene)<ref name="howard" />
* Traveling 6000 miles (10,000&nbsp;km) by jet (cancer due to increased background radiation)<ref name="esr">{{cite web|url=http://www.myesr.org/html/img/pool/15_Loose_Reinhard_Radiation_Dose_Issues_and_Risk.pdf|title=Radiation dose issues and risk|publisher=European Society of Radiology|access-date=2013-11-18|url-status=dead|archive-url=https://web.archive.org/web/20140219020315/http://www.myesr.org/html/img/pool/15_Loose_Reinhard_Radiation_Dose_Issues_and_Risk.pdf|archive-date=19 February 2014}}</ref>


Such risks are better expressed using the related concept of a ].
* smoking 1.4 cigarettes (cancer, heart disease)
* drinking 0.5 liter of wine (cirrhosis of the liver)
* spending 1 hour in a coal mine (black lung disease)
* spending 3 hours in a coal mine (accident)
* living 2 days in New York or Boston (air pollution)
* living 2 months in Denver (cancer from cosmic radiation){{Citation needed|date=February 2010}}
* living 2 months with a smoker (cancer, heart disease)
* drinking Miami water for 1 year (cancer from chloroform)
* eating 100 charcoal-broiled steaks (cancer from benzopyrene)
* eating 40 tablespoons of peanut butter (liver cancer from ] B)
* eating 1000 bananas (cancer from radioactive ])
* traveling 6 minutes by canoe (accident)
* traveling 230 miles (370&nbsp;km) by car (accident)<ref name="agony" />
* traveling 6000 miles (9656&nbsp;km) by train (accident)<ref name="agony" />
* flying 1000 miles (1609&nbsp;km) by jet (accident)
* flying 6000 miles (9656&nbsp;km) by jet (cancer from cosmic radiation)
* receiving one 10mrem chest X-ray in a good hospital (cancer from radiation)<ref>{{cite web|title=Radiation and Risk|url=http://www.physics.isu.edu/radinf/risk.htm|publisher=Idaho State University|accessdate=2011-03-16}}</ref>
* taking 1 ] tablet<ref name="agony">{{cite news
|first= David |last= Spiegelhalter |authorlink= David Spiegelhalter |title= 230 miles in a car equates to one micromort: The agony and Ecstasy of risk-taking |url= http://www.timesonline.co.uk/tol/comment/columnists/guest_contributors/article5696688.ece |format= |agency= |work= |publisher=] |location=London |id= |pages= |page= |date=10 February 2009 |accessdate=19 April 2009 }}</ref>

] involves a risk of eight micromorts per trip while ] involves five and a parachute jump (in the US) is about 17.<ref name="agony" /><ref>http://www.skydivingmagazine.com/faq.htm</ref>


==See also== ==See also==
<!-- alphabetical order please ] -->
*]
<!-- please add a short description ], via {{subst:AnnotatedListOfLinks}} or {{Annotated link}} -->
*]
{{div col|colwidth=20em|small=yes}}
* {{Annotated link |Decision analysis}}
* {{Annotated link |Decision theory}}
* {{Annotated link |Ellsberg paradox}}
* {{Annotated link |List of unusual units of measurement}}
* {{Annotated link |Microlife}}
* {{Annotated link |Pascal's Wager}}
* {{Annotated link |Precautionary principle}}
* {{Annotated link |Risk of ruin}}
{{div col end}}
<!-- alphabetical order please ] -->

==Notes==
{{notelist}}


==References== ==References==
Line 74: Line 351:
| author=Ronald A. Howard | author=Ronald A. Howard
| title=On Fates Comparable to Death | title=On Fates Comparable to Death
| journal=Management Science | journal=]
| volume=30 | volume=30
| year=1984 | year=1984
Line 82: Line 359:
}} }}
*{{cite web *{{cite web
| author=Center for the Study and Improvement of Regulation |author1=Center for the Study
|author2=Improvement of Regulation
|name-list-style=amp
| title=What is a MicroMort?
|title=What is a MicroMort?
| url=http://micromorts.org/tutorial2.aspx
|url=http://micromorts.org/tutorial2.aspx
}}
|archive-url=https://archive.today/20130415123624/http://micromorts.org/tutorial2.aspx?AspxAutoDetectCookieSupport=1
|archive-date=15 April 2013
|url-status=dead
}}{{Unreliable source?|date=February 2024}}


==External links==
]
*


]
]
] ]
]
]
]

Latest revision as of 07:14, 22 December 2024

Unit of risk – one-in-a-million chance of death This article is about the measure of mortality risk. For the computer program, see Micromort (software).

A micromort (from micro- and mortality) is a unit of risk defined as a one-in-a-million chance of death. Micromorts can be used to measure the riskiness of various day-to-day activities. A microprobability is a one-in-a million chance of some event; thus, a micromort is the microprobability of death. The micromort concept was introduced by Ronald A. Howard who pioneered the modern practice of decision analysis.

Micromorts for future activities can only be rough assessments, as specific circumstances will always have an impact. However, past historical rates of events can be used to provide a rough estimate.

Sample values

Baseline

Death from Context Time period N deaths N population Micromorts per unit of exposure Reference
All causes England and Wales 2012 499,331 56,567,000 24 per day
8,800 per year
ONS Deaths Table 5.
Canada 2011 242,074 33,476,688 20 per day
7,200 per year
Statistics Canada
US 2010 2,468,435 308,500,000 22 per day
8,000 per year
CDC Deaths Table 18.
Non-natural cause England and Wales 2012 17,462 56,567,000 0.8 per day
300 per year
ONS Deaths Table 5.19.
US 2010 180,000 308,500,000 1.6 per day
580 per year
CDC Deaths Table 18
Non-natural cause (excluding suicide) England and Wales 2012 12,955 56,567,000 0.6 per day
230 per year
ONS Suicides
US 2010 142,000 308,500,000 1.3 per day
460 per year
CDC Deaths Table 18.
All causes – first day of life England and Wales 2007 430 per first day of life Walker, 2014
US 2013 16.7 per day
6100 per year
CDC Life Tables
Blastland & Spiegelhalter, 2014
Murder/homicide England and Wales 2012/13 551 56,567,000 10 per year ONS Crime
Homicide Canada 2011 527 33,476,688 15 per year Statistics Canada
Murder and non-negligent manslaughter US 2012 14,173 292,000,000 48 per year FBI Table 16

Leisure and sport

Death from Context Time period N deaths N exposure Micromorts per unit of exposure Reference
Scuba diving UK: BSAC members 1998–2009 75 14,000,000 dives 5 per dive BSAC
UK: non-BSAC 1998–2009 122 12,000,000 dives 10 per dive BSAC
US – insured members of DAN 2000–2006 187 1,131,367 members 164 per year as member of DAN
5 per dive
DAN p75
Paragliding Turkey 2004–2011 18 242,355 flights 74 per launch Canbek 2015
Skiing US 2008/9 39 57,000,000 days skiing 0.7 per day Ski-injury.com
Skydiving US 2000–2016 413 48,600,000 jumps 8 per jump USPA
UK 1994–2013 41 4,864,268 jumps 8 per jump BPA
BASE jumping Kjerag Massif, Norway 1995–2005 9 20,850 jumps 430 per jump Soreide 2007
Mountaineering Ascent to Matterhorn 1981–2011 213 about 75,000 ascents

(about 2500 per year)

about 2,840 per ascent attempt Bachmann 2012
Ascent to Mt. Everest 1922–2012 223 5,656 successful ascents 37,932 per successful ascent NASA 2013

Travel

Activities that increase the death risk by roughly one micromort, and their associated cause of death:

  • Travelling 6 miles (9.7 km) by motorcycle (collision)
  • Travelling 17 miles (27 km) by walking (collision)
  • Travelling 10 miles (16 km) or 20 miles (32 km) by bicycle (collision)
  • Travelling 230 miles (370 km) by car (collision) (or 250 miles)
  • Travelling 1,000 miles (1,600 km) by jet airplane (collision)
  • Travelling 6,000 miles (10,000 km) by train (collision)

Other

Increase in death risk for other activities on a per-event basis:

  • Hang gliding – 8 micromorts per flight
  • Ecstasy (MDMA) – 0.5 micromorts per tablet, rising to 13 if using other drugs
  • Giving birth (vaginal) – 120 micromorts
  • Giving birth (caesarean) – 170 micromorts
  • AstraZeneca vaccination against COVID-19 – 2.9 micromorts
  • COVID-19 infection at age 10 – 20 micromorts
  • COVID-19 infection at age 25 – 100 micromorts
  • COVID-19 infection at age 55 – 4,000 micromorts
  • COVID-19 infection at age 65 – 14,000 micromorts
  • COVID-19 infection at age 75 – 46,000 micromorts
  • COVID-19 infection at age 85 – 150,000 micromorts (As of December 2020)

Value of a micromort

Willingness to pay

An application of micromorts is measuring the value that humans place on risk. For example, a person can consider the amount of money they would be willing to pay to avoid a one-in-a-million chance of death (or conversely, the amount of money they would receive to accept a one-in-a-million chance of death). When offered this situation, people claim a high number. However, when looking at their day-to-day actions (e.g., how much they are willing to pay for safety features on cars), a typical value for a micromort is around $50 (in 2009). This is not to say the $50 valuation should be taken to mean that a human life (1 million micromorts) is valued at $50,000,000. Rather, people are less inclined to spend money after a certain point to increase their safety. This means that analyzing risk using the micromort is more useful when using small risks, not necessarily large ones.

Value of a statistical life

Government agencies use a nominal Value of a Statistical Life (VSL) – or Value for Preventing a Fatality (VPF) – to evaluate the cost-effectiveness of expenditure on safeguards. For example, in the UK, the VSL is £1 million GBP in 1997 value (equivalent to £2 million in 2023). Since road improvements have the effect of lowering the risk of large numbers of people by a small amount, the UK Department for Transport essentially prices a reduction of 1 micromort at £1.60. The US Department of Transportation uses a VSL of US$6.2 million, pricing a micromort at US$6.20.

Chronic risks

Micromorts are best used to measure the size of acute risks, i.e. immediate deaths. Risks from lifestyle, exposure to air pollution, and so on are chronic risks, in that they do not kill straight away, but reduce life expectancy. Ron Howard included such risks in his original 1979 work, for example, an additional one micromort from:

  • Drinking 0.5 liter of wine (cirrhosis of the liver)
  • Smoking 1.4 cigarettes (cancer, heart disease)
  • Spending 1 hour in a coal mine (black lung disease)
  • Spending 3 hours in a coal mine (accident)
  • Living 2 days in New York or Boston in 1979 (air pollution)
  • Living 2 months with a smoker (cancer, heart disease)
  • Drinking Miami water for 1 year (cancer from chloroform)
  • Eating 100 charcoal-broiled steaks (cancer from benzopyrene)
  • Traveling 6000 miles (10,000 km) by jet (cancer due to increased background radiation)

Such risks are better expressed using the related concept of a microlife.

See also

Notes

  1. however due to the health effects of cycling the net effect of cycling on life expectancy is likely positive in most cases

References

  1. Fry, A.M.; Harrison, A.; Daigneault, M. (February 2016). "Micromorts - what is the risk?". British Journal of Oral and Maxillofacial Surgery. 54 (2): 230–231. doi:10.1016/j.bjoms.2015.11.023. PMID 26747014.
  2. Walker, KF; Cohen, AL; Walker, SS; Allen, KM; Baines, DL; Thornton, Jg (May 2014). "The dangers of the day of birth". BJOG. 121 (6): 714–718. doi:10.1111/1471-0528.12544. PMID 24521517. S2CID 24808758.
  3. Howard, R. A. (1980). J. Richard; C. Schwing; Walter A. Albers (eds.). On making life and death decisions. Societal Risk Assessment: How Safe Is Safe Enough? General Motors Research Laboratories. New York: Plenum Press. ISBN 0306405547.
  4. ^ "Deaths Registered in England and Wales (Series DR), 2012" (PDF). Office for National Statistics. 22 October 2013. Archived (PDF) from the original on 6 June 2014. Retrieved 3 June 2014.
  5. "Leading causes of death, by sex (Both sexes)". Statistics Canada. Archived from the original on 24 September 2015. Retrieved 14 August 2015.
  6. ^ SL Murphy; J Xu & KD Kochanek (8 May 2013). "Deaths: Final Data for 2010" (PDF). US: Centers for Disease Control and Prevention. Archived (PDF) from the original on 11 May 2015. Retrieved 3 June 2014.
  7. "Suicides in the United Kingdom, 2012 Registrations". Office for National Statistics. 18 February 2014. Archived from the original on 13 May 2014. Retrieved 11 June 2014.
  8. KF Walker; AL Cohen; SH Walker; KM Allen; DL Baines; JG Thornton (13 February 2014). "The dangers of the day of birth". British Journal of Obstetrics and Gynaecology. 121 (6). London: Royal College of Obstetricians and Gynaecologists: 714–8. doi:10.1111/1471-0528.12544. PMID 24521517. S2CID 24808758.
  9. "Life Tables". cdc.gov. Centers for Disease Control and Prevention. 2013. Archived from the original on 26 November 2013. Retrieved 24 November 2013.
  10. Blastland, Michael; Spiegelhalter, David (2014). The Norm Chronicles: Stories and Numbers About Danger and Death (1 ed.). Basic Books. p. 14. ISBN 9780465085705.
  11. "Crime Statistics, Focus on Violent Crime and Sexual Offences, 2012/13 – ONS". Office for National Statistics. 13 February 2014. Archived from the original on 8 April 2014. Retrieved 12 June 2014.
  12. "Leading causes of death, total population, by age group and sex, Canada". Statistics Canada. 26 November 2020. Archived from the original on 3 July 2013. Retrieved 14 August 2015.
  13. "Crime in the United States, 2012: Table 16". FBI. Federal Bureau of Investigation. Archived from the original on 29 May 2016. Retrieved 12 June 2014.
  14. ^ British Sub-Aqua Club. "UK Diving Fatalities Review". Archived from the original on 28 July 2014. Retrieved 12 June 2014.
  15. Divers Alert Network (DAN). "Fatalities_Proceedings.pdf" (PDF). Archived (PDF) from the original on 16 January 2015. Retrieved 12 June 2014.
  16. Canbek, Umut; Ahmet İmerci; Ulaş Akgün; Murat Yeşil; Ali Aydin; Yasemin Balci (1 September 2015). "Characteristics of injuries caused by paragliding accidents: A cross-sectional study". World Journal of Emergency Medicine. 6 (3): 221–224. doi:10.5847/wjem.j.1920-8642.2015.03.011. PMC 4566014. PMID 26401185.
  17. Ski-injury.com. "Ski Injury". Archived from the original on 28 May 2014. Retrieved 12 June 2014.
  18. United States Parachute Association. "Skydiving Safety". Archived from the original on 22 August 2018. Retrieved 10 April 2018.
  19. British Parachute Association (2012). "How Safe". Archived from the original on 27 July 2014. Retrieved 12 June 2014.
  20. Soreide, Kjetil; Ellingsen, Christian Lycke; Knutson, Vibeke (May 2007). "How Dangerous is BASE Jumping? An Analysis of Adverse Events in 20,850 Jumps From the Kjerag Massif, Norway". The Journal of Trauma: Injury, Infection, and Critical Care. 62 (5): 1113–1117. doi:10.1097/01.ta.0000239815.73858.88. PMID 17495709.
  21. Bachmann, Stefan (September 2012). "Tod am Matterhorn" (PDF). Beobachter (in German).
  22. "The World's Tallest Mountain". Earth Observatory. NASA. 2 January 2014. Archived from the original on 25 October 2014. Retrieved 25 October 2014.
  23. ^ "Understanding Uncertainty". Plus Magazine. 12 July 2010. Archived from the original on 4 August 2020. Retrieved 22 July 2020.
  24. ^ * Howard, Ron Risky Decisions (Slide show), Stanford University
  25. de Hartog, Jeroen Johan; Boogaard, Hanna; Nijland, Hans; Hoek, Gerard (August 2010). "Do the Health Benefits of Cycling Outweigh the Risks?". Environmental Health Perspectives. 118 (8): 1109–1116. Bibcode:2010EnvHP.118.1109D. doi:10.1289/ehp.0901747. PMC 2920084. PMID 20587380.
  26. Safety Overview 2023 (PDF) (Report). European Union Agency For Railways. March 2023. p. 7, fig. 6.
  27. "MDMA ('ecstasy'): a review of its harms and classification under the Misuse of Drugs Act 1971". London: Advisory Council on the Misuse of Drugs. 2009. p. 18. Archived from the original on 5 October 2012 – via Internet Archive.
  28. Blastland, Michael; Spiegelhalter, David (2014). The Norm Chronicles: Stories and Numbers About Danger and Death (1 ed.). Basic Books. p. 8. ISBN 9780465085705.
  29. ^ Spiegelhalter, David; Blastland, Michael (30 May 2013). The Norm Chronicles: Stories and numbers about danger (Main ed.). London: Profile Books. ISBN 9781846686207.
  30. Nina Weber, DER SPIEGEL (22 April 2021). "Coronaimpfung und Risikoabwägung: Einmal impfen ist weniger riskant als eine Woche Skiurlaub". Der Spiegel (in German). Archived from the original on 18 February 2022. Retrieved 11 June 2021.
  31. Levin AT, Hanage WP, Owusu-Boaitey N, Cochran KB, Walsh SP, Meyerowitz-Katz G (December 2020). "Assessing the age specificity of infection fatality rates for COVID-19: systematic review, meta-analysis, and public policy implications". European Journal of Epidemiology. 35 (12): 1123–1138. doi:10.1007/s10654-020-00698-1. PMC 7721859. PMID 33289900. Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License Archived 16 October 2017 at the Wayback Machine.
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Further reading

External links

Categories: