Pathways for socio-economic system transitions expressed as a Markov chain

• Vanessa Jine Schweizer ,

  Contributed equally to this work with: Vanessa Jine Schweizer, Alastair David Jamieson-Lane

  Roles Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing – original draft, Writing – review & editing

  * E-mail: vanessa.schweizer@uwaterloo.ca (VJS); alastair.jamieson-lane@auckland.ac.nz (ADJL)

  Affiliations Climate and Global Dynamics Division, National Center for Atmospheric Research, Boulder, Colorado, United States of America, Department of Knowledge Integration, Faculty of Environment, University of Waterloo, Waterloo, Ontario, Canada

  https://orcid.org/0000-0002-8214-9866

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• Alastair David Jamieson-Lane ,

  Contributed equally to this work with: Vanessa Jine Schweizer, Alastair David Jamieson-Lane

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

  * E-mail: vanessa.schweizer@uwaterloo.ca (VJS); alastair.jamieson-lane@auckland.ac.nz (ADJL)

  Current address: Mathematics, Faculty of Science, University of Auckland, Auckland, New Zealand

  Affiliations Mathematics, University of British Columbia, Vancouver, British Columbia, Canada, Institute for Chemistry and Biology of the Marine Environment, Campus Wechloy, University of Oldenburg, Oldenburg, Lower Saxony, Germany

  https://orcid.org/0000-0001-7808-6236

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• Hua Cai ,

  Roles Conceptualization, Investigation, Methodology, Visualization

  Current address: School of Industrial Engineering, Purdue University, West Lafayette, Indiana, United States of America; Environmental and Ecological Engineering; Purdue University, West Lafayette, Indiana, United States of America

  ¶‡ HC, SL and MS also contributed equally to this work.

  Affiliations School for Environment and Sustainability, University of Michigan, Ann Arbor, Michigan, United States of America, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, Michigan, United States of America

  https://orcid.org/0000-0002-5895-1664

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• Stephan Lehner ,

  Roles Conceptualization, Data curation, Software, Visualization

  ¶‡ HC, SL and MS also contributed equally to this work.

  Affiliation Institute of Air Transportation Systems, German Aerospace Center (DLR), Hamburg, Germany

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• Matteo Smerlak

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft

  Current address: Max Planck Institute for Mathematics in the Sciences, Leipzig, Saxony, Germany

  ¶‡ HC, SL and MS also contributed equally to this work.

  Affiliation Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada

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