Simpler and faster: an improved heat index.

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Title: Simpler and faster: an improved heat index.
Authors: Lu, Yi-Chuan1,2 (AUTHOR) yclu@berkeley.edu, Goodman, Alex3 (AUTHOR), Kalmus, Peter3 (AUTHOR), Romps, David M.1,2 (AUTHOR)
Source: Journal of Applied Meteorology & Climatology. May2026, Vol. 65 Issue 5, p1-15. 15p.
Subjects: Heat index, Mathematical models, Physiological effects of heat, Optimization algorithms, Thermal tolerance (Physiology), Temperature, Environmental health
Abstract: The existing heat index is complicated and slow. Furthermore, its complexity has obfuscated both mathematical inconsistencies (double values) and physical inconsistencies (supersaturation). This paper presents a simplified heat index that resolves these issues. The new approach results in small changes to the heat index for air temperatures below 300 K, but leaves the heat index unchanged for air temperatures above 300 K, where it is most commonly used. This simplification enhances interpretability, and a refactored algorithm accelerates the computation of the heat index by orders of magnitude. The optimized implementation is freely available in C++, R, and Python. In this article, we also clarify a long-standing ambiguity regarding "compensable" and "uncompensable" heat stress. Historically, "uncompensable" denoted conditions leading to fatal core temperatures. Recent studies, however, have applied the term to any inflection followed by a rise in core temperature. Using the heat index model, we show that such an observation does not necessarily imply lethality, because heat loss increases with core temperature and can yield a stable, non-fatal equilibrium. To avoid ambiguity, we therefore replace compensable/uncompensable with normothermic, hyperthermic, and lethal categories based on the predicted steady-state core temperature. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Meteorology & Climatology is the property of American Meteorological Society and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Simpler and faster: an improved heat index.
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  Data: <searchLink fieldCode="AR" term="%22Lu%2C+Yi-Chuan%22">Lu, Yi-Chuan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> yclu@berkeley.edu</i><br /><searchLink fieldCode="AR" term="%22Goodman%2C+Alex%22">Goodman, Alex</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kalmus%2C+Peter%22">Kalmus, Peter</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Romps%2C+David+M%2E%22">Romps, David M.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Meteorology+%26+Climatology%22">Journal of Applied Meteorology & Climatology</searchLink>. May2026, Vol. 65 Issue 5, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Heat+index%22">Heat index</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Physiological+effects+of+heat%22">Physiological effects of heat</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+tolerance+%28Physiology%29%22">Thermal tolerance (Physiology)</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature%22">Temperature</searchLink><br /><searchLink fieldCode="DE" term="%22Environmental+health%22">Environmental health</searchLink>
– Name: Abstract
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  Data: The existing heat index is complicated and slow. Furthermore, its complexity has obfuscated both mathematical inconsistencies (double values) and physical inconsistencies (supersaturation). This paper presents a simplified heat index that resolves these issues. The new approach results in small changes to the heat index for air temperatures below 300 K, but leaves the heat index unchanged for air temperatures above 300 K, where it is most commonly used. This simplification enhances interpretability, and a refactored algorithm accelerates the computation of the heat index by orders of magnitude. The optimized implementation is freely available in C++, R, and Python. In this article, we also clarify a long-standing ambiguity regarding "compensable" and "uncompensable" heat stress. Historically, "uncompensable" denoted conditions leading to fatal core temperatures. Recent studies, however, have applied the term to any inflection followed by a rise in core temperature. Using the heat index model, we show that such an observation does not necessarily imply lethality, because heat loss increases with core temperature and can yield a stable, non-fatal equilibrium. To avoid ambiguity, we therefore replace compensable/uncompensable with normothermic, hyperthermic, and lethal categories based on the predicted steady-state core temperature. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Applied Meteorology & Climatology is the property of American Meteorological Society and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1175/JAMC-D-25-0067.1
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      – Code: eng
        Text: English
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        PageCount: 15
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    Subjects:
      – SubjectFull: Heat index
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Physiological effects of heat
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Thermal tolerance (Physiology)
        Type: general
      – SubjectFull: Temperature
        Type: general
      – SubjectFull: Environmental health
        Type: general
    Titles:
      – TitleFull: Simpler and faster: an improved heat index.
        Type: main
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          Name:
            NameFull: Lu, Yi-Chuan
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            NameFull: Goodman, Alex
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            NameFull: Kalmus, Peter
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          Name:
            NameFull: Romps, David M.
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          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – TitleFull: Journal of Applied Meteorology & Climatology
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