Combining branching processes and Allee effects into an integral projection model to assess invasion risk

• James P. Peirce ,

  Contributed equally to this work with: James P. Peirce, Richard A. Erickson

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Software, Visualization, Writing – original draft, Writing – review & editing

  * E-mail: jpeirce@uwlax.edu

  Affiliations Mathematics & Statistics Department, University of Wisconsin - La Crosse, La Crosse, Wisconsin, United States of America, River Studies Center, University of Wisconsin - La Crosse, La Crosse, Wisconsin, United States of America

  ⨯
• Cynthia S. Tam ,

  Roles Conceptualization, Project administration, Validation

  ¶‡ JJP, GLL, MWF, AAC authors also contributed equally to this work.

  Affiliation U.S. Geological Survey, Ecosystems Mission Area, Reston, Virginia, United States of America

  ⨯
• Joseph J. Parkos ,

  Roles Conceptualization, Methodology, Validation

  ¶‡ JJP, GLL, MWF, AAC authors also contributed equally to this work.

  Affiliation Kaskaskia Biological Station, Illinois Natural History Survey, Prairie Research Institute, University of Illinois at Urbana-Champaign, Sullivan, Illinois, United States of America

  ⨯
• Grace L. Loppnow ,

  Roles Conceptualization, Methodology, Validation

  ¶‡ JJP, GLL, MWF, AAC authors also contributed equally to this work.

  Affiliation Minnesota Department of Natural Resources, St. Paul, Minnesota, United States of America

  ⨯
• Mark W. Fritts ,

  Roles Conceptualization, Methodology, Validation

  ¶‡ JJP, GLL, MWF, AAC authors also contributed equally to this work.

  Affiliation U.S. Fish and Wildlife Service, La Crosse Fish and Wildlife Conservation Office, Onalaska, Wisconsin, United States of America

  ⨯
• Alison A. Coulter ,

  Roles Conceptualization, Methodology, Validation

  ¶‡ JJP, GLL, MWF, AAC authors also contributed equally to this work.

  Affiliation Department of Natural Resource Management, South Dakota State, Brookings, South Dakota, United States of America

  ⨯
• Richard A. Erickson

  Contributed equally to this work with: James P. Peirce, Richard A. Erickson

  Roles Conceptualization, Formal analysis, Funding acquisition, Methodology, Project administration, Software, Writing – original draft, Writing – review & editing

  Affiliation U.S. Geological Survey, Upper Midwest Environmental Sciences Center, La Crosse, Wisconsin, United States of America

  https://orcid.org/0000-0003-4649-482X

  ⨯