IDEAS home Printed from https://ideas.repec.org/a/nat/nature/v582y2020i7810d10.1038_s41586-020-2314-9.html
   My bibliography  Save this article

Variability in the analysis of a single neuroimaging dataset by many teams

Author

Listed:
  • Rotem Botvinik-Nezer

    (Tel Aviv University
    Tel Aviv University
    Dartmouth College)

  • Felix Holzmeister

    (University of Innsbruck)

  • Colin F. Camerer

    (HSS and CNS, California Institute of Technology)

  • Anna Dreber

    (Stockholm School of Economics
    University of Innsbruck)

  • Juergen Huber

    (University of Innsbruck)

  • Magnus Johannesson

    (Stockholm School of Economics)

  • Michael Kirchler

    (University of Innsbruck)

  • Roni Iwanir

    (Tel Aviv University
    Tel Aviv University)

  • Jeanette A. Mumford

    (University of Wisconsin–Madison)

  • R. Alison Adcock

    (Duke University
    Duke University)

  • Paolo Avesani

    (Fondazione Bruno Kessler
    University of Trento)

  • Blazej M. Baczkowski

    (Max Planck Institute for Human Cognitive and Brain Sciences)

  • Aahana Bajracharya

    (Washington University in St. Louis)

  • Leah Bakst

    (Boston University
    Boston University)

  • Sheryl Ball

    (Virginia Tech
    Virginia Tech)

  • Marco Barilari

    (Institutes for Research in Psychology (IPSY) and Neurosciences (IoNS), UCLouvain)

  • Nadège Bault

    (University of Plymouth)

  • Derek Beaton

    (Baycrest Health Sciences Centre)

  • Julia Beitner

    (University of Amsterdam
    Goethe University)

  • Roland G. Benoit

    (Max Planck Institute for Human Cognitive and Brain Sciences)

  • Ruud M. W. J. Berkers

    (Max Planck Institute for Human Cognitive and Brain Sciences)

  • Jamil P. Bhanji

    (Rutgers University–Newark)

  • Bharat B. Biswal

    (New Jersey Institute of Technology
    University of Electronic Science and Technology of China)

  • Sebastian Bobadilla-Suarez

    (University College London)

  • Tiago Bortolini

    (D’Or Institute for Research and Education (IDOR))

  • Katherine L. Bottenhorn

    (Florida International University)

  • Alexander Bowring

    (University of Oxford)

  • Senne Braem

    (Ghent University
    Vrije Universiteit Brussel)

  • Hayley R. Brooks

    (University of Denver)

  • Emily G. Brudner

    (Rutgers University–Newark)

  • Cristian B. Calderon

    (Ghent University)

  • Julia A. Camilleri

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Jaime J. Castrellon

    (Duke University
    Duke University)

  • Luca Cecchetti

    (IMT School for Advanced Studies Lucca)

  • Edna C. Cieslik

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Zachary J. Cole

    (University of Nebraska–Lincoln)

  • Olivier Collignon

    (University of Trento
    Institutes for Research in Psychology (IPSY) and Neurosciences (IoNS), UCLouvain)

  • Robert W. Cox

    (National Institutes of Health)

  • William A. Cunningham

    (University of Toronto)

  • Stefan Czoschke

    (Goethe University)

  • Kamalaker Dadi

    (Inria, CEA, Université Paris-Saclay)

  • Charles P. Davis

    (University of Connecticut
    University of Connecticut
    University of Connecticut)

  • Alberto De Luca

    (University Medical Center Utrecht)

  • Mauricio R. Delgado

    (Rutgers University–Newark)

  • Lysia Demetriou

    (Imperial College London
    University of Oxford)

  • Jeffrey B. Dennison

    (Temple University)

  • Xin Di

    (New Jersey Institute of Technology
    University of Electronic Science and Technology of China)

  • Erin W. Dickie

    (Centre for Addiction and Mental Health
    University of Toronto)

  • Ekaterina Dobryakova

    (Kessler Foundation)

  • Claire L. Donnat

    (Stanford University)

  • Juergen Dukart

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Niall W. Duncan

    (Taipei Medical University
    TMU-ShuangHo Hospital)

  • Joke Durnez

    (Stanford University)

  • Amr Eed

    (Instituto de Neurociencias, CSIC-UMH)

  • Simon B. Eickhoff

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Andrew Erhart

    (University of Denver)

  • Laura Fontanesi

    (University of Basel)

  • G. Matthew Fricke

    (University of New Mexico)

  • Shiguang Fu

    (Zhejiang University of Technology
    Zhejiang University of Technology)

  • Adriana Galván

    (University of California Los Angeles)

  • Remi Gau

    (Institutes for Research in Psychology (IPSY) and Neurosciences (IoNS), UCLouvain)

  • Sarah Genon

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Tristan Glatard

    (Concordia University)

  • Enrico Glerean

    (Aalto University)

  • Jelle J. Goeman

    (Leiden University Medical Center)

  • Sergej A. E. Golowin

    (Taipei Medical University)

  • Carlos González-García

    (Ghent University)

  • Krzysztof J. Gorgolewski

    (Stanford University)

  • Cheryl L. Grady

    (Baycrest Health Sciences Centre)

  • Mikella A. Green

    (Duke University
    Duke University)

  • João F. Guassi Moreira

    (University of California Los Angeles)

  • Olivia Guest

    (University College London
    Smart Systems and Emerging Technologies - RISE)

  • Shabnam Hakimi

    (Duke University)

  • J. Paul Hamilton

    (Linköping University)

  • Roeland Hancock

    (University of Connecticut
    University of Connecticut)

  • Giacomo Handjaras

    (IMT School for Advanced Studies Lucca)

  • Bronson B. Harry

    (Western Sydney University)

  • Colin Hawco

    (Centre for Addiction and Mental Health)

  • Peer Herholz

    (McGill University)

  • Gabrielle Herman

    (Centre for Addiction and Mental Health)

  • Stephan Heunis

    (Eindhoven University of Technology
    Epilepsy Centre Kempenhaeghe)

  • Felix Hoffstaedter

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Jeremy Hogeveen

    (University of New Mexico
    University of New Mexico)

  • Susan Holmes

    (Stanford University)

  • Chuan-Peng Hu

    (Leibniz-Institut für Resilienzforschung (LIR))

  • Scott A. Huettel

    (Duke University)

  • Matthew E. Hughes

    (Swinburne University of Technology)

  • Vittorio Iacovella

    (University of Trento)

  • Alexandru D. Iordan

    (University of Michigan)

  • Peder M. Isager

    (Eindhoven University of Technology)

  • Ayse I. Isik

    (Max Planck Institute for Empirical Aesthetics)

  • Andrew Jahn

    (fMRI Laboratory, University of Michigan)

  • Matthew R. Johnson

    (University of Nebraska–Lincoln
    University of Nebraska–Lincoln)

  • Tom Johnstone

    (Swinburne University of Technology)

  • Michael J. E. Joseph

    (Centre for Addiction and Mental Health)

  • Anthony C. Juliano

    (Kessler Foundation)

  • Joseph W. Kable

    (University of Pennsylvania
    MindCORE, University of Pennsylvania)

  • Michalis Kassinopoulos

    (McGill University)

  • Cemal Koba

    (IMT School for Advanced Studies Lucca)

  • Xiang-Zhen Kong

    (Max Planck Institute for Psycholinguistics)

  • Timothy R. Koscik

    (University of Iowa Carver College of Medicine)

  • Nuri Erkut Kucukboyaci

    (Kessler Foundation
    Rutgers New Jersey Medical School)

  • Brice A. Kuhl

    (University of Oregon)

  • Sebastian Kupek

    (University of Innsbruck)

  • Angela R. Laird

    (Florida International University)

  • Claus Lamm

    (University of Vienna
    University of Vienna)

  • Robert Langner

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Nina Lauharatanahirun

    (Human Research and Engineering Directorate
    University of Pennsylvania)

  • Hongmi Lee

    (Johns Hopkins University)

  • Sangil Lee

    (University of Pennsylvania)

  • Alexander Leemans

    (University Medical Center Utrecht)

  • Andrea Leo

    (IMT School for Advanced Studies Lucca)

  • Elise Lesage

    (Ghent University)

  • Flora Li

    (Fralin Biomedical Research Institute
    Nanjing Audit University)

  • Monica Y. C. Li

    (University of Connecticut
    University of Connecticut
    University of Connecticut
    Haskins Laboratories)

  • Phui Cheng Lim

    (University of Nebraska–Lincoln
    University of Nebraska–Lincoln)

  • Evan N. Lintz

    (University of Nebraska–Lincoln)

  • Schuyler W. Liphardt

    (University of New Mexico)

  • Annabel B. Losecaat Vermeer

    (University of Vienna)

  • Bradley C. Love

    (University College London
    The Alan Turing Institute)

  • Michael L. Mack

    (University of Toronto)

  • Norberto Malpica

    (Laboratorio de Análisis de Imagen Médica y Biometría (LAIMBIO), Universidad Rey Juan Carlos)

  • Theo Marins

    (D’Or Institute for Research and Education (IDOR))

  • Camille Maumet

    (Inria, Univ Rennes, CNRS, Inserm, IRISA UMR 6074, Empenn ERL U 1228)

  • Kelsey McDonald

    (Duke University)

  • Joseph T. McGuire

    (Boston University
    Boston University)

  • Helena Melero

    (Laboratorio de Análisis de Imagen Médica y Biometría (LAIMBIO), Universidad Rey Juan Carlos
    Departamento de Psicobiología, División de Psicología, CES Cardenal Cisneros
    Northeastern University Biomedical Imaging Center, Northeastern University)

  • Adriana S. Méndez Leal

    (University of California Los Angeles)

  • Benjamin Meyer

    (Leibniz-Institut für Resilienzforschung (LIR)
    Johannes Gutenberg University Medical Center Mainz)

  • Kristin N. Meyer

    (University of North Carolina at Chapel Hill)

  • Glad Mihai

    (Max Planck Institute for Human Cognitive and Brain Sciences
    Technische Universität Dresden)

  • Georgios D. Mitsis

    (McGill University)

  • Jorge Moll

    (D’Or Institute for Research and Education (IDOR)
    Stanford University)

  • Dylan M. Nielson

    (National Institutes of Health)

  • Gustav Nilsonne

    (Karolinska Institutet
    Stockholm University)

  • Michael P. Notter

    (University Hospital Center and University of Lausanne)

  • Emanuele Olivetti

    (Fondazione Bruno Kessler
    University of Trento)

  • Adrian I. Onicas

    (IMT School for Advanced Studies Lucca)

  • Paolo Papale

    (IMT School for Advanced Studies Lucca
    Netherlands Institute for Neuroscience)

  • Kaustubh R. Patil

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • Jonathan E. Peelle

    (Washington University in St. Louis)

  • Alexandre Pérez

    (McGill University)

  • Doris Pischedda

    (Charité Universitätsmedizin, corporate member of Freie Universität Berlin, Humboldt Universität zu Berlin, and Berlin Institute of Health
    Technische Universität Berlin and Humboldt Universität zu Berlin
    NeuroMI - Milan Center for Neuroscience)

  • Jean-Baptiste Poline

    (McGill University
    University of California Berkeley)

  • Yanina Prystauka

    (University of Connecticut
    University of Connecticut
    University of Connecticut)

  • Shruti Ray

    (New Jersey Institute of Technology)

  • Patricia A. Reuter-Lorenz

    (University of Michigan)

  • Richard C. Reynolds

    (National Institutes of Health)

  • Emiliano Ricciardi

    (IMT School for Advanced Studies Lucca)

  • Jenny R. Rieck

    (Baycrest Health Sciences Centre)

  • Anais M. Rodriguez-Thompson

    (University of North Carolina at Chapel Hill)

  • Anthony Romyn

    (University of Toronto)

  • Taylor Salo

    (Florida International University)

  • Gregory R. Samanez-Larkin

    (Duke University
    Duke University)

  • Emilio Sanz-Morales

    (Laboratorio de Análisis de Imagen Médica y Biometría (LAIMBIO), Universidad Rey Juan Carlos)

  • Margaret L. Schlichting

    (University of Toronto)

  • Douglas H. Schultz

    (University of Nebraska–Lincoln
    University of Nebraska–Lincoln)

  • Qiang Shen

    (Zhejiang University of Technology
    Zhejiang University of Technology)

  • Margaret A. Sheridan

    (University of North Carolina at Chapel Hill)

  • Jennifer A. Silvers

    (University of California Los Angeles)

  • Kenny Skagerlund

    (Linköping University
    Linköping University)

  • Alec Smith

    (Virginia Tech
    Virginia Tech)

  • David V. Smith

    (Temple University)

  • Peter Sokol-Hessner

    (University of Denver)

  • Simon R. Steinkamp

    (Research Centre Jülich)

  • Sarah M. Tashjian

    (University of California Los Angeles)

  • Bertrand Thirion

    (Inria, CEA, Université Paris-Saclay)

  • John N. Thorp

    (Columbia University)

  • Gustav Tinghög

    (Linköping University
    Linköping University)

  • Loreen Tisdall

    (Stanford University
    University of Basel)

  • Steven H. Tompson

    (Human Research and Engineering Directorate)

  • Claudio Toro-Serey

    (Boston University
    Boston University)

  • Juan Jesus Torre Tresols

    (Inria, CEA, Université Paris-Saclay)

  • Leonardo Tozzi

    (Stanford University School of Medicine)

  • Vuong Truong

    (Taipei Medical University
    TMU-ShuangHo Hospital)

  • Luca Turella

    (University of Trento)

  • Anna E. van ‘t Veer

    (Leiden University)

  • Tom Verguts

    (Ghent University)

  • Jean M. Vettel

    (US Combat Capabilities Development Command Army Research Laboratory
    University of California Santa Barbara
    University of Pennsylvania)

  • Sagana Vijayarajah

    (University of Toronto)

  • Khoi Vo

    (Duke University
    Duke University)

  • Matthew B. Wall

    (Invicro
    Imperial College London
    University College London)

  • Wouter D. Weeda

    (Leiden University)

  • Susanne Weis

    (Brain and Behaviour (INM-7), Research Centre Jülich
    Heinrich Heine University Düsseldorf)

  • David J. White

    (Swinburne University)

  • David Wisniewski

    (Ghent University)

  • Alba Xifra-Porxas

    (McGill University)

  • Emily A. Yearling

    (University of Connecticut
    University of Connecticut
    University of Connecticut)

  • Sangsuk Yoon

    (University of Dayton)

  • Rui Yuan

    (Stanford University School of Medicine)

  • Kenneth S. L. Yuen

    (Leibniz-Institut für Resilienzforschung (LIR)
    Johannes Gutenberg University Medical Center Mainz)

  • Lei Zhang

    (University of Vienna)

  • Xu Zhang

    (University of Connecticut
    University of Connecticut
    University of Connecticut)

  • Joshua E. Zosky

    (University of Nebraska–Lincoln
    University of Nebraska–Lincoln)

  • Thomas E. Nichols

    (University of Oxford)

  • Russell A. Poldrack

    (Stanford University)

  • Tom Schonberg

    (Tel Aviv University
    Tel Aviv University)

Abstract

Data analysis workflows in many scientific domains have become increasingly complex and flexible. Here we assess the effect of this flexibility on the results of functional magnetic resonance imaging by asking 70 independent teams to analyse the same dataset, testing the same 9 ex-ante hypotheses1. The flexibility of analytical approaches is exemplified by the fact that no two teams chose identical workflows to analyse the data. This flexibility resulted in sizeable variation in the results of hypothesis tests, even for teams whose statistical maps were highly correlated at intermediate stages of the analysis pipeline. Variation in reported results was related to several aspects of analysis methodology. Notably, a meta-analytical approach that aggregated information across teams yielded a significant consensus in activated regions. Furthermore, prediction markets of researchers in the field revealed an overestimation of the likelihood of significant findings, even by researchers with direct knowledge of the dataset2–5. Our findings show that analytical flexibility can have substantial effects on scientific conclusions, and identify factors that may be related to variability in the analysis of functional magnetic resonance imaging. The results emphasize the importance of validating and sharing complex analysis workflows, and demonstrate the need for performing and reporting multiple analyses of the same data. Potential approaches that could be used to mitigate issues related to analytical variability are discussed.

Suggested Citation

  • Rotem Botvinik-Nezer & Felix Holzmeister & Colin F. Camerer & Anna Dreber & Juergen Huber & Magnus Johannesson & Michael Kirchler & Roni Iwanir & Jeanette A. Mumford & R. Alison Adcock & Paolo Avesani, 2020. "Variability in the analysis of a single neuroimaging dataset by many teams," Nature, Nature, vol. 582(7810), pages 84-88, June.
  • Handle: RePEc:nat:nature:v:582:y:2020:i:7810:d:10.1038_s41586-020-2314-9
    DOI: 10.1038/s41586-020-2314-9
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41586-020-2314-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1038/s41586-020-2314-9?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dreber, Anna & Johannesson, Magnus, 2023. "A framework for evaluating reproducibility and replicability in economics," I4R Discussion Paper Series 38, The Institute for Replication (I4R).
    2. Christoph Huber & Anna Dreber & Jürgen Huber & Magnus Johannesson & Michael Kirchler & Utz Weitzel & Miguel Abellán & Xeniya Adayeva & Fehime Ceren Ay & Kai Barron & Zachariah Berry & Werner Bönte , 2023. "Competition and moral behavior: A meta-analysis of forty-five crowd-sourced experimental designs," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 120(23), pages 2215572120-, June.
    3. Felix Holzmeister & Magnus Johannesson & Robert Böhm & Anna Dreber & Jürgen Huber & Michael Kirchler, 2023. "Heterogeneity in effect size estimates: Empirical evidence and practical implications," Working Papers 2023-17, Faculty of Economics and Statistics, Universität Innsbruck.
    4. Dario Krpan & Jonathan E. Booth & Andreea Damien, 2023. "The positive–negative–competence (PNC) model of psychological responses to representations of robots," Nature Human Behaviour, Nature, vol. 7(11), pages 1933-1954, November.
    5. Christoph Huber & Christian König-Kersting, 2022. "Experimenting with Financial Professionals," Working Papers 2022-07, Faculty of Economics and Statistics, Universität Innsbruck.
    6. Nick Huntington‐Klein & Andreu Arenas & Emily Beam & Marco Bertoni & Jeffrey R. Bloem & Pralhad Burli & Naibin Chen & Paul Grieco & Godwin Ekpe & Todd Pugatch & Martin Saavedra & Yaniv Stopnitzky, 2021. "The influence of hidden researcher decisions in applied microeconomics," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 944-960, July.
    7. Matthew Rosenblatt & Link Tejavibulya & Rongtao Jiang & Stephanie Noble & Dustin Scheinost, 2024. "Data leakage inflates prediction performance in connectome-based machine learning models," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    8. Christophe Pérignon & Olivier Akmansoy & Christophe Hurlin & Anna Dreber & Felix Holzmeister & Juergen Huber & Magnus Johanneson & Michael Kirchler & Albert Menkveld & Michael Razen & Utz Weitzel, 2022. "Reproducibility of Empirical Results: Evidence from 1,000 Tests in Finance," Working Papers hal-03810013, HAL.
    9. Shile Qi & Jing Sui & Godfrey Pearlson & Juan Bustillo & Nora I. Perrone-Bizzozero & Peter Kochunov & Jessica A. Turner & Zening Fu & Wei Shao & Rongtao Jiang & Xiao Yang & Jingyu Liu & Yuhui Du & Jia, 2022. "Derivation and utility of schizophrenia polygenic risk associated multimodal MRI frontotemporal network," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    10. Nate Breznau & Eike Mark Rinke & Alexander Wuttke & Hung H. V. Nguyen & Muna Adem & Jule Adriaans & Amalia Alvarez-Benjumea & Henrik K. Andersen & Daniel Auer & Flavio Azevedo & Oke Bahnsen & Dave Bal, 2022. "Observing many researchers using the same data and hypothesis reveals a hidden universe of uncertainty," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 119(44), pages 2203150119-, November.
    11. Jessica Dafflon & Pedro F. Da Costa & František Váša & Ricardo Pio Monti & Danilo Bzdok & Peter J. Hellyer & Federico Turkheimer & Jonathan Smallwood & Emily Jones & Robert Leech, 2022. "A guided multiverse study of neuroimaging analyses," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    12. Joakim A. Weill & Matthieu Stigler & Olivier Deschenes & Michael R. Springborn, 2021. "Researchers' Degrees-of-Flexibility and the Credibility of Difference-in-Differences Estimates: Evidence From the Pandemic Policy Evaluations," NBER Working Papers 29550, National Bureau of Economic Research, Inc.
    13. Chin, Jason & Zeiler, Kathryn, 2021. "Replicability in Empirical Legal Research," LawArXiv 2b5k4, Center for Open Science.
    14. Alipourfard, Nazanin & Arendt, Beatrix & Benjamin, Daniel Jacob & Benkler, Noam & Bishop, Michael Metcalf & Burstein, Mark & Bush, Martin & Caverlee, James & Chen, Yiling & Clark, Chae, 2021. "Systematizing Confidence in Open Research and Evidence (SCORE)," SocArXiv 46mnb, Center for Open Science.
    15. Sadri, Arash, 2022. "The Ultimate Cause of the “Reproducibility Crisis”: Reductionist Statistics," MetaArXiv yxba5, Center for Open Science.
    16. Feng Zhou & Weihua Zhao & Ziyu Qi & Yayuan Geng & Shuxia Yao & Keith M. Kendrick & Tor D. Wager & Benjamin Becker, 2021. "A distributed fMRI-based signature for the subjective experience of fear," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
    17. Schweinsberg, Martin & Feldman, Michael & Staub, Nicola & van den Akker, Olmo R. & van Aert, Robbie C.M. & van Assen, Marcel A.L.M. & Liu, Yang & Althoff, Tim & Heer, Jeffrey & Kale, Alex & Mohamed, Z, 2021. "Same data, different conclusions: Radical dispersion in empirical results when independent analysts operationalize and test the same hypothesis," Organizational Behavior and Human Decision Processes, Elsevier, vol. 165(C), pages 228-249.

    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:nature:v:582:y:2020:i:7810:d:10.1038_s41586-020-2314-9. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.