Abstract
Heat stress accumulates in the human body when a person is exposed to a thermal condition for a long time. Considering this fact, we have defined the accumulated heat stress (AH) and have developed the accumulated heat stress index (AHI) to quantify the strength of heat stress. AH represents the heat stress accumulated in a 72-h period calculated by the use of a time-weighted function, and the AHI is a standardized index developed by the use of an equiprobability transformation (from a fitted Weibull distribution to the standard normal distribution). To verify the advantage offered by the AHI, it was compared with four thermal indices the humidex, the heat index, the wet-bulb globe temperature, and the perceived temperature used by national governments. AH and the AHI were found to provide better detection of thermal danger and were more useful than other indices. In particular, AH and the AHI detect deaths that were caused not only by extremely hot and humid weather, but also by the persistence of moderately hot and humid weather (for example, consecutive daily maximum temperatures of 28–32 °C), which the other indices fail to detect.
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References
Abramowitz M, Stegun IA (1964) Handbook of mathematical functions with formulas, graphs, and mathematical tables. U. S. Nat. Bureau Stand, New York, p 1046
ACSM (1984) Prevention of thermal injuries during distance running-position stand. Med J Aust 141:876–879
Applegate WB, Runyan JW Jr, Brasfield L, Williams ML, Konigsberg C, Fouche C (1981) Analysis of the 1980 heat wave in Memphis. J Am Geriatr Soc 29:337–342
Baccini M, Biggeri A, Accetta G et al (2008) Heat effects on mortality in 15 European cities. Epidemiology 19:711–719
Barriopedro D, Fischer EM, Luterbacher J, Trigo RM, Garcia-Herrera R (2011) The hot summer of 2010: redrawing the temperature record map of Europe. Science 332:220–224
Braga AL, Zanobetti A, Schwartz J (2001) The time course of weather-related deaths. Epidemiology 12:662–667
Braga AL, Zanobetti A, Schwartz J (2002) The effect of weather on respiratory and cardiovascular deaths in 12 U.S. cities. Environ Health Perspect 110:859–863
Brämer GR (1988) International statistical classification of diseases and related health problems. Tenth revision. World Health Stat Q 41:32–36
Budd GM (2008) Wet-bulb globe temperature (WBGT)—its history and its limitations. J Sci Med Sport 11:20–32
Diaz J, García-Herrera R, Trigo RM et al (2006) The impact of the summer 2003 heat wave in Iberia: how should we measure it? Int J Biometeorol 50:159–166
Donoghue ER, Graham MA, Jentzen JM et al (1997) Criteria for the diagnosis of heat-related deaths: National Association of Medical Examiners. Position paper. National Association of Medical Examiners Ad Hoc Committee on the Definition of Heat-Related Fatalities. Am J Forensic Med Pathol 18:11–14
Fanger PO (1970) Thermal comfort: analysis and application in environment engineering. Danish Technical Press, Copenhagen, 254 pp
Ferris EB, Blankenhorn MA et al (1938) Heat stroke: clinical and chemical observations on 44 cases. J Clin Invest 17:249–262
Fiala D, Lomas KJ, Stohrer M (2001) Computer prediction of human thermoregulatory and temperature responses to a wide range of environmental conditions. Int J Biometeorol 45:143–159
Gagge AP, Fobelets AP, Berglund PE (1986) A standard predictive index of human response to the thermal environment. ASHRAE Trans 92:709–731
Guest CS, Wilson K, Woodward A et al (1999) Climate and mortality in Australia: retrospective study, 1979–1990 and predicted impacts in five major cities in 2030. Clim Res 13:1–15
Hori S (1995) Adaptation to heat. Japan J Physiol 45:912–946
Hunter CH (2001) A modified heat stress algorithm for partially enclosed structures. Available at http://sti.srs.gov/fulltext/rp20011097/rp20011097.html
Jendritzky G, Tinz B (2009) The thermal environment of the human being on the global scale. Glob Health Act 2:1–12
Jendritzky G, Dear R, Havenith G (2012) UTCI—why another thermal index? Int J Biometeorol 56:421–428
Jones TS, Liang AP, Kilbourne EM et al (1982) Morbidity and mortality associated with the July 1980 heat wave in St. Louis and Kansas City, MO. JAMA 247:3327–3331
Kang ZJ, Xue H, Bong TY (2001) Modeling of thermal environment and human response in a crowded space for tropical climate. Build Environ 36:511–525
Koppe C, Jendritzky G (2005) Inclusion of short-term adaptation to thermal stresses in a heat load warning procedure. Meteorol Z 14:271–278
Koppe C, Kovats S, Jendritzky G, Menne B (2004) Heat waves: risks and responses. Tech. Rep. 2, World Health Organization, Geneva
Kysely J (2004) Mortality and displaced mortality during heat waves in the Czech Republic. Int J Biometeorol 49:91–97
Laaidi M, Laaidi K, Besancenot JP (2006) Temperature-related mortality in France, a comparison between regions with different climates from the perspective of global warming. Int J Biometeorol 51:145–153
Lally VE, Watson BF (1960) Humiture revisited. Weatherwise 13:254–256
Lerchl A (1998) Changes in the seasonality of mortality in Germany from 1946 to 1995: the role of temperature. Int J Biometeorol 42:84–88
Lloyd-Hughes B, Saunders MA (2002) A drought climatology for Europe. Int J Climatol 22:1571–1592
Masterton JM, Richardson FA (1979) HUMIDEX: a method of quantifying human discomfort due to excessive heat and humidity. CLI 1-79. Environment Canada, Downside, Ontario
Mayer S, Höppe P (1987) Thermal comfort of man in different urban environments. Theor Appl Climatol 38:43–49
Nakai S, Itoh T, Morimoto T (1999) Deaths from heat-stroke in Japan: 1968–1994. Int J Biometeorol 43:124–127
Naughton MP, Henderson A, Mirabelli MC, Kaiser R et al (2002) Heat-related mortality during a 1999 heat wave in Chicago. Am J Prev Med 22:221–227
Nogueira P (2005) Examples of Heat Health Warning Systems: Lisbon’s ICARO’s surveillance system, summer of 2003. In: Kirch W, Menne B, Bertollini R (eds) Extreme weather events and public health responses: European Public Health Association. Springer, Berlin, pp pp 141–pp 159
Nogueira P, Paixão E (2008) Models for mortality associated with heatwaves: update of the Portuguese heat health warning system. Int J Climatol 28:545–562
Park JK, Jung WS, Kim EB, Song JH, Lee JE (2007) Study on the extreme heat heath watch warning system (II). Korea Meteorological Administration, pp97 (In Korean)
Rocklov J, Forsberg B (2008) The effect of temperature on mortality in Stockholm 1998–2003: a study of lag structures and heatwave effects. Scand J Public Health 36:516–523
Rocklov J, Ebi K, Forsberg B (2011) Mortality related to temperature and persistent extreme temperatures: a study of cause-specific and age-stratified mortality. Occup Environ Med 68:531–536
Rothfusz LP (1990) The heat index “equation” (or more than you ever wanted to know about the heat index. NWS Technical Attachment SR90-23. NWS Southern Region Headquarters, Fort Worth, TX
Smoyer KE (1998) A comparative analysis of heat waves and associated mortality in St. Louis, Missouri—1980 and 1995. Int J Biometeorol 42:44–50
Smoyer KE, Kalkstein LS, Greene JS, Ye H (2000) The impacts of weather and pollution on human mortality in Birmingham, Alabama and Philadelphia, Pennsylvania. Int J Climatol 20:881–897
Sparling PB (1997) Environmental conditions during the 1996 Olympic Games: a brief follow-up report. Clin J Sports Med 7:159–161
Staiger H, Bucher K, Jendritzky G (1997) Gefühlte Temperatur: Die physiologisch gerechte Bewertung von Wärmebelastung und Kältestress beim Aufenthalt im Freien mit der Maßzahl Grad Celsius. Ann Meteorol 33:100–107 (in German)
Staiger H, Laschewski G, Gratz A (2012) The perceived temperature—a versatile index for the assessment of the human thermal environment. Part A: scientific basics. Int J Biometeorol 56:165–176
Steadman RG (1979) The assessment of sultriness. Part I: a temperature humidity index based on human physiology and clothing science. J Appl Meteorol 18:861–873
Steadman RG (1984) A universal scale of apparent temperature. J Appl Meteorol 23:1674–1687
Thom EC (1957) A new concept for cooling degree days. Air cond Heat Vent 54:73–80
Thom EC (1959) The discomfort index. Weatherwise 12:57–60
Trigo RM, Garcia R, Diaz J, Trigo IF, Valente MA (2005) How exceptional was the early August 2003 heat wave in France? Geophys Res Lett 32: L10701 DOI: 10.1029/2005GL022410
Wang H, Sekine M, Chen X, Kagamimori S (2002) A study of weekly and seasonal variation of stroke onset. Int J Biometeorol 47:13–20
Watts JD, Kalkstein LS (2004) The development of a warm-weather relative stress index for environmental applications. J Appl Meteorol 43:503–513
Whitman S, Good G, Donoghue ER, Benbow N, Shou WY, Mou SX (1997) Mortality in Chicago attributed to the July 1995 heat wave. Am J Public Health 87:1515–1518
Yaglou CP, Minard D (1957) Control of heat casualties at military training centers. Arch Ind Health 16:302–316
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This work is supported by the “Korea Meteorological Administration Research and Development Program, CATER 2006‐2306” of the Korea Meteorological Administration (KMA) and by the “Advanced Research on Applied Meteorology” of National Institute of Meteorological Research (NIMR).
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Lee, JS., Byun, HR. & Kim, DW. Development of accumulated heat stress index based on time-weighted function. Theor Appl Climatol 124, 541–554 (2016). https://doi.org/10.1007/s00704-015-1434-x
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DOI: https://doi.org/10.1007/s00704-015-1434-x