Donald Jackson

1 Introduction Procrustes analysis (PA) is a powerful statistical method for matching two or more configurations under similarity transformations (i.e., rotation, reflection, scaling, and translation) (Gower 1975; Legendre and Legendre 2012).

Conflicts of Interest The authors declare no conflicts of interest. Supporting Information Filename Description gcb70501-sup-0001-AppendixS1.docxWord 2007 document , 43.8 KB Appendix S1: gcb70501-sup-0001-AppendixS1.docx. gcb70501-sup-0002-AppendixS2.docxWord 2007 document , 102.3 KB Appendix S2: gcb70501-sup-0002-AppendixS2.docx. Table S1: The Lake Erhai fish presence/absence database spanning nearly eight decades, from the 1950s to the 2020s.

Conflicts of Interest The authors declare no conflicts of interest. Supporting Information Filename Description gcb70267-sup-0001-AppendixS1.xlsxExcel 2007 spreadsheet , 128.2 KB Appendix S1. gcb70267-sup-0002-AppendixS2.docxWord 2007 document , 189.4 KB Appendix S2. gcb70267-sup-0003-AppendixS3.xlsxExcel 2007 spreadsheet , 22.2 KB Appendix S3. References , , , et al. 2008.