---
_id: '14564'
abstract:
- lang: eng
  text: Cumulus parameterization (CP) in state‐of‐the‐art global climate models is
    based on the quasi‐equilibrium assumption (QEA), which views convection as the
    action of an ensemble of cumulus clouds, in a state of equilibrium with respect
    to a slowly varying atmospheric state. This view is not compatible with the organization
    and dynamical interactions across multiple scales of cloud systems in the tropics
    and progress in this research area was slow over decades despite the widely recognized
    major shortcomings. Novel ideas on how to represent key physical processes of
    moist convection‐large‐scale interaction to overcome the QEA have surged recently.
    The stochastic multicloud model (SMCM) CP in particular mimics the dynamical interactions
    of multiple cloud types that characterize organized tropical convection. Here,
    the SMCM is used to modify the Zhang‐McFarlane (ZM) CP by changing the way in
    which the bulk mass flux and bulk entrainment and detrainment rates are calculated.
    This is done by introducing a stochastic ensemble of plumes characterized by randomly
    varying detrainment level distributions based on the cloud area fraction of the
    SMCM. The SMCM is here extended to include shallow cumulus clouds resulting in
    a unified shallow‐deep CP. The new stochastic multicloud plume CP is validated
    against the control ZM scheme in the context of the single column Community Climate
    Model of the National Center for Atmospheric Research using data from both tropical
    ocean and midlatitude land convection. Some key features of the SMCM CP such as
    it capability to represent the tri‐modal nature of organized convection are emphasized.
acknowledgement: The research of B.K. is supported in part by a Discovery Grant from
  the Natural Sciences and Engineering Research Council of Canada (RGPIN-04246-2020).
  This research was conducted during the visits of P.M. Krishna to the Center for
  Prototype Climate Models at NYU Abu Dhabi and University of Victoria from November
  2018 to June 2019 and July 2019 and October 2019, respectively. The authors are
  very grateful to the three anonymous reviewers who provided very thoughtful and
  constructive comments during the review process that helped greatly improve and
  shape the final version of the manuscript.
article_number: e2022MS003391
article_processing_charge: Yes
article_type: original
author:
- first_name: B.
  full_name: Khouider, B.
  last_name: Khouider
- first_name: BIDYUT B
  full_name: GOSWAMI, BIDYUT B
  id: 3a4ac09c-6d61-11ec-bf66-884cde66b64b
  last_name: GOSWAMI
  orcid: 0000-0001-8602-3083
- first_name: R.
  full_name: Phani, R.
  last_name: Phani
- first_name: A. J.
  full_name: Majda, A. J.
  last_name: Majda
citation:
  ama: Khouider B, GOSWAMI BB, Phani R, Majda AJ. A shallow‐deep unified stochastic
    mass flux cumulus parameterization in the single column community climate model.
    <i>Journal of Advances in Modeling Earth Systems</i>. 2023;15(11). doi:<a href="https://doi.org/10.1029/2022ms003391">10.1029/2022ms003391</a>
  apa: Khouider, B., GOSWAMI, B. B., Phani, R., &#38; Majda, A. J. (2023). A shallow‐deep
    unified stochastic mass flux cumulus parameterization in the single column community
    climate model. <i>Journal of Advances in Modeling Earth Systems</i>. American
    Geophysical Union. <a href="https://doi.org/10.1029/2022ms003391">https://doi.org/10.1029/2022ms003391</a>
  chicago: Khouider, B., BIDYUT B GOSWAMI, R. Phani, and A. J. Majda. “A Shallow‐deep
    Unified Stochastic Mass Flux Cumulus Parameterization in the Single Column Community
    Climate Model.” <i>Journal of Advances in Modeling Earth Systems</i>. American
    Geophysical Union, 2023. <a href="https://doi.org/10.1029/2022ms003391">https://doi.org/10.1029/2022ms003391</a>.
  ieee: B. Khouider, B. B. GOSWAMI, R. Phani, and A. J. Majda, “A shallow‐deep unified
    stochastic mass flux cumulus parameterization in the single column community climate
    model,” <i>Journal of Advances in Modeling Earth Systems</i>, vol. 15, no. 11.
    American Geophysical Union, 2023.
  ista: Khouider B, GOSWAMI BB, Phani R, Majda AJ. 2023. A shallow‐deep unified stochastic
    mass flux cumulus parameterization in the single column community climate model.
    Journal of Advances in Modeling Earth Systems. 15(11), e2022MS003391.
  mla: Khouider, B., et al. “A Shallow‐deep Unified Stochastic Mass Flux Cumulus Parameterization
    in the Single Column Community Climate Model.” <i>Journal of Advances in Modeling
    Earth Systems</i>, vol. 15, no. 11, e2022MS003391, American Geophysical Union,
    2023, doi:<a href="https://doi.org/10.1029/2022ms003391">10.1029/2022ms003391</a>.
  short: B. Khouider, B.B. GOSWAMI, R. Phani, A.J. Majda, Journal of Advances in Modeling
    Earth Systems 15 (2023).
date_created: 2023-11-20T09:18:21Z
date_published: 2023-11-01T00:00:00Z
date_updated: 2025-09-09T13:29:45Z
day: '01'
ddc:
- '550'
department:
- _id: CaMu
doi: 10.1029/2022ms003391
external_id:
  isi:
  - '001106311000001'
file:
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  date_created: 2023-11-20T11:29:16Z
  date_updated: 2023-11-20T11:29:16Z
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file_date_updated: 2023-11-20T11:29:16Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
issue: '11'
keyword:
- General Earth and Planetary Sciences
- Environmental Chemistry
- Global and Planetary Change
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '11'
oa: 1
oa_version: Published Version
publication: Journal of Advances in Modeling Earth Systems
publication_identifier:
  eissn:
  - 1942-2466
publication_status: published
publisher: American Geophysical Union
quality_controlled: '1'
scopus_import: '1'
status: public
title: A shallow‐deep unified stochastic mass flux cumulus parameterization in the
  single column community climate model
tmp:
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  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
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type: journal_article
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volume: 15
year: '2023'
...
