To cite MF.beta4 in publications use:

Anne Chao, Chun-Huo Chiu, Kai-Hsiang Hu, Fons van der Plas, Marc W. Cadotte, Oliver Mitesser, Simon Thorn, Akira S. Mori, Michael Scherer-Lorenzen, Nico Eisenhauer, Claus Bässler, Benjamin M. Delory, Heike Feldhaar, Andreas Fichtner, Torsten Hothorn, Marcell K. Peters, Kerstin Pierick, Goddert von Oheimb, Jörg Müller (2024). “Hill-Chao numbers allow decomposing gamma-multifunctionality into alpha and beta components.” Ecology Letters. doi:10.1111/ele.14336.

Corresponding BibTeX entry:

  @Article{,
    title = {Hill-Chao numbers allow decomposing
      gamma-multifunctionality into alpha and beta components.},
    author = {{Anne Chao} and {Chun-Huo Chiu} and {Kai-Hsiang Hu} and
      {Fons van der Plas} and {Marc W. Cadotte} and {Oliver Mitesser}
      and {Simon Thorn} and {Akira S. Mori} and {Michael
      Scherer-Lorenzen} and {Nico Eisenhauer} and {Claus Bässler} and
      {Benjamin M. Delory} and {Heike Feldhaar} and {Andreas Fichtner}
      and {Torsten Hothorn} and {Marcell K. Peters} and {Kerstin
      Pierick} and {Goddert von Oheimb} and {Jörg Müller}},
    journal = {Ecology Letters},
    year = {2024},
    doi = {10.1111/ele.14336},
  }