IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v16y2025i1d10.1038_s41467-024-55599-8.html
   My bibliography  Save this article

Hierarchical representations of relative numerical magnitudes in the human frontoparietal cortex

Author

Listed:
  • Teruaki Kido

    (The University of Tokyo
    National Institute of Information and Communications Technology)

  • Yuko Yotsumoto

    (The University of Tokyo)

  • Masamichi J. Hayashi

    (National Institute of Information and Communications Technology
    Osaka University)

Abstract

The ability to estimate numerical magnitude is essential for decision-making and is thought to underlie arithmetic skills. In humans, neural populations in the frontoparietal regions are tuned to represent numerosity. However, it remains unclear whether their response properties are fixed to a specific numerosity (i.e., absolute code) or dynamically scaled according to the range of numerosities relevant to the context (i.e., relative code). Here, using functional magnetic resonance imaging combined with multivariate pattern analysis, we uncover evidence that representations of relative numerosity coding emerge gradually as visual information processing advances in the frontoparietal regions. In contrast, the early sensory areas predominantly exhibit absolute coding. These findings indicate a hierarchical organization of relative numerosity representations that adapt their response properties according to the context. Our results highlight the existence of a context-dependent optimization mechanism in numerosity representation, enabling the efficient processing of infinite magnitude information with finite neural resources.

Suggested Citation

  • Teruaki Kido & Yuko Yotsumoto & Masamichi J. Hayashi, 2025. "Hierarchical representations of relative numerical magnitudes in the human frontoparietal cortex," Nature Communications, Nature, vol. 16(1), pages 1-15, December.
  • Handle: RePEc:nat:natcom:v:16:y:2025:i:1:d:10.1038_s41467-024-55599-8
    DOI: 10.1038/s41467-024-55599-8
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-55599-8
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-024-55599-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Jacob M. Paul & Martijn Ackooij & Tuomas C. Cate & Ben M. Harvey, 2022. "Numerosity tuning in human association cortices and local image contrast representations in early visual cortex," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
    2. Ben M. Harvey & Serge O. Dumoulin, 2017. "A network of topographic numerosity maps in human association cortex," Nature Human Behaviour, Nature, vol. 1(2), pages 1-9, February.
    3. Bates, Douglas & Mächler, Martin & Bolker, Ben & Walker, Steve, 2015. "Fitting Linear Mixed-Effects Models Using lme4," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 67(i01).
    4. Hiromasa Sawamura & Keisetsu Shima & Jun Tanji, 2002. "Numerical representation for action in the parietal cortex of the monkey," Nature, Nature, vol. 415(6874), pages 918-922, February.
    5. Yuxuan Cai & Shir Hofstetter & Jelle Dijk & Wietske Zuiderbaan & Wietske Zwaag & Ben M. Harvey & Serge O. Dumoulin, 2021. "Topographic numerosity maps cover subitizing and estimation ranges," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
    6. Sébastien Czajko & Alexandre Vignaud & Evelyn Eger, 2024. "Human brain representations of internally generated outcomes of approximate calculation revealed by ultra-high-field brain imaging," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    7. Hamed Nili & Cai Wingfield & Alexander Walther & Li Su & William Marslen-Wilson & Nikolaus Kriegeskorte, 2014. "A Toolbox for Representational Similarity Analysis," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-11, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Valentina Krenz & Arjen Alink & Tobias Sommer & Benno Roozendaal & Lars Schwabe, 2023. "Time-dependent memory transformation in hippocampus and neocortex is semantic in nature," Nature Communications, Nature, vol. 14(1), pages 1-17, December.
    2. Valeria Centanino & Gianfranco Fortunato & Domenica Bueti, 2024. "The neural link between stimulus duration and spatial location in the human visual hierarchy," Nature Communications, Nature, vol. 15(1), pages 1-19, December.
    3. Sébastien Czajko & Alexandre Vignaud & Evelyn Eger, 2024. "Human brain representations of internally generated outcomes of approximate calculation revealed by ultra-high-field brain imaging," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    4. Evi Hendrikx & Jacob M. Paul & Martijn Ackooij & Nathan Stoep & Ben M. Harvey, 2022. "Visual timing-tuned responses in human association cortices and response dynamics in early visual cortex," Nature Communications, Nature, vol. 13(1), pages 1-19, December.
    5. Maximilian E. Kirschhock & Andreas Nieder, 2022. "Number selective sensorimotor neurons in the crow translate perceived numerosity into number of actions," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    6. JANSSENS, Jochen & DE CORTE, Annelies & SÖRENSEN, Kenneth, 2016. "Water distribution network design optimisation with respect to reliability," Working Papers 2016007, University of Antwerp, Faculty of Business and Economics.
    7. Raymond Hernandez & Elizabeth A. Pyatak & Cheryl L. P. Vigen & Haomiao Jin & Stefan Schneider & Donna Spruijt-Metz & Shawn C. Roll, 2021. "Understanding Worker Well-Being Relative to High-Workload and Recovery Activities across a Whole Day: Pilot Testing an Ecological Momentary Assessment Technique," IJERPH, MDPI, vol. 18(19), pages 1-17, October.
    8. Christopher Hassall & Michael Nisbet & Evan Norcliffe & He Wang, 2024. "The Potential Health Benefits of Urban Tree Planting Suggested through Immersive Environments," Land, MDPI, vol. 13(3), pages 1-12, February.
    9. Jie Zhao & Ji Chen & Damien Beillouin & Hans Lambers & Yadong Yang & Pete Smith & Zhaohai Zeng & Jørgen E. Olesen & Huadong Zang, 2022. "Global systematic review with meta-analysis reveals yield advantage of legume-based rotations and its drivers," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    10. Elisabeth Beckmann & Lukas Olbrich & Joseph Sakshaug, 2024. "Multivariate assessment of interviewer-related errors in a cross-national economic survey (Lukas Olbrich, Elisabeth Beckmann, Joseph W. Sakshaug)," Working Papers 253, Oesterreichische Nationalbank (Austrian Central Bank).
    11. F J Heather & D Z Childs & A M Darnaude & J L Blanchard, 2018. "Using an integral projection model to assess the effect of temperature on the growth of gilthead seabream Sparus aurata," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-19, May.
    12. Morán-Ordóñez, Alejandra & Ameztegui, Aitor & De Cáceres, Miquel & de-Miguel, Sergio & Lefèvre, François & Brotons, Lluís & Coll, Lluís, 2020. "Future trade-offs and synergies among ecosystem services in Mediterranean forests under global change scenarios," Ecosystem Services, Elsevier, vol. 45(C).
    13. Jack McDonnell & Thomas McKenna & Kathryn A. Yurkonis & Deirdre Hennessy & Rafael Andrade Moral & Caroline Brophy, 2023. "A Mixed Model for Assessing the Effect of Numerous Plant Species Interactions on Grassland Biodiversity and Ecosystem Function Relationships," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(1), pages 1-19, March.
    14. Ana Pinto & Tong Yin & Marion Reichenbach & Raghavendra Bhatta & Pradeep Kumar Malik & Eva Schlecht & Sven König, 2020. "Enteric Methane Emissions of Dairy Cattle Considering Breed Composition, Pasture Management, Housing Conditions and Feeding Characteristics along a Rural-Urban Gradient in a Rising Megacity," Agriculture, MDPI, vol. 10(12), pages 1-18, December.
    15. Damian M. Herz & Manuel Bange & Gabriel Gonzalez-Escamilla & Miriam Auer & Keyoumars Ashkan & Petra Fischer & Huiling Tan & Rafal Bogacz & Muthuraman Muthuraman & Sergiu Groppa & Peter Brown, 2022. "Dynamic control of decision and movement speed in the human basal ganglia," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
    16. Kathrin Stenchly & Marc Victor Hansen & Katharina Stein & Andreas Buerkert & Wilhelm Loewenstein, 2018. "Income Vulnerability of West African Farming Households to Losses in Pollination Services: A Case Study from Ouagadougou, Burkina Faso," Sustainability, MDPI, vol. 10(11), pages 1-12, November.
    17. Dongyan Liu & Chongran Zhou & John K. Keesing & Oscar Serrano & Axel Werner & Yin Fang & Yingjun Chen & Pere Masque & Janine Kinloch & Aleksey Sadekov & Yan Du, 2022. "Wildfires enhance phytoplankton production in tropical oceans," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    18. Zhaogeng Yang & Yanhui Li & Peijin Hu & Jun Ma & Yi Song, 2020. "Prevalence of Anemia and its Associated Factors among Chinese 9-, 12-, and 14-Year-Old Children: Results from 2014 Chinese National Survey on Students Constitution and Health," IJERPH, MDPI, vol. 17(5), pages 1-10, February.
    19. Schmidt, Dominik & Stöckl, Thomas & Palan, Stefan, 2024. "Voting for insider trading regulation. An experimental study of informed and uninformed traders’ preferences," Journal of Banking & Finance, Elsevier, vol. 169(C).
    20. Marco Lopez-Cruz & Fernando M. Aguate & Jacob D. Washburn & Natalia Leon & Shawn M. Kaeppler & Dayane Cristina Lima & Ruijuan Tan & Addie Thompson & Laurence Willard Bretonne & Gustavo los Campos, 2023. "Leveraging data from the Genomes-to-Fields Initiative to investigate genotype-by-environment interactions in maize in North America," Nature Communications, Nature, vol. 14(1), pages 1-14, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:16:y:2025:i:1:d:10.1038_s41467-024-55599-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.