This phylograms is based directly on Smith, Pryer, Schuettpelz, Korall, Schneider, Wolf (2006). "A classification for extant ferns" [1]
Ophioglossaceae
Psilotaceae
Equisetaceae
Marattiaceae
Osmundaceae
Hymenophyllaceae
Gleicheniaceae
Dipteridaceae
Matoniaceae
Lygodiaceae
Anemiaceae
Schizaeaceae
Marsileaceae
Salviniaceae
Thyrsopteridaceae
Loxomataceae
Culcitaceae
Plagiogyriaceae
Cibotiaceae
Cyatheaceae
Dicksoniaceae
Metaxyaceae
Lindsaeaceae
Saccolomataceae
Dennstaedtiaceae
Pteridaceae
Aspleniaceae
Woodsiaceae
Thelypteridaceae
Blechnaceae
Onocleaceae
Dryopteridaceae
Lomariopsidaceae
Tectariaceae
Oleandraceae
Davalliaceae
Polypodiaceae
All ferns 2010
This is based on Christenhusz et al.: A linear sequence of extant families and genera of lycophytes and ferns (2011)[2] and Rai and Graham: Monilophyte Phylogeny (2010)[3] Note that Equisetaceae branches first, and the Lindsaeaoid families are different than in the previous phylogram.
Equisetaceae
Ophioglossaceae
Psilotaceae
Marattiaceae
Osmundaceae
Hymenophyllaceae
Gleicheniaceae
Dipteridaceae
Matoniaceae
Lygodiaceae
Schizaeaceae
Anemiaceae
Marsileaceae
Salviniaceae
Thyrsopteridaceae
Loxomataceae
Culcitaceae
Plagiogyriaceae
Cibotiaceae
Cyatheaceae
Dicksoniaceae
Metaxyaceae
Lonchitidaceae
Saccolomataceae
Cystodiaceae
Lindsaeaceae
Dennstaedtiaceae
Pteridaceae
Aspleniaceae
Woodsiaceae
Thelypteridaceae
Blechnaceae
Onocleaceae
Dryopteridaceae
Lomariopsidaceae
Tectariaceae
Oleandraceae
Davalliaceae
Polypodiaceae
All ferns 2010 (take 2)
Same list, attempting to include classes and orders:
The following phylogram shows a likely relationship between the other vascular plant classes and the leptosporangiate ferns.[4] Note that these relationships are far from settled. For example, this diagram shows Equisetopsida as a sister to Polypodiopsida. Depending on how the data was interpreted (e.g. using Parsimony vs. maximum-likelihood analyses), Equisetopsida could just as well have been placed a sister to a Marattiopsida/Polypodiopsida clade.[4]
While it is generally accepted that the leptosporangiate ferns are monophyletic, it is considered to be likely that the eusporangiate ferns, as a group, are polyphyletic. As shown in the examples from three recently published phylograms in the following table, it can be seen that the four eusporangiate fern families do not form a single clade.
^ abLehtonen (2011) Samuli Lehtonen: Towards Resolving the Complete Fern Tree of Life. PLoS ONE 6(10): e24851. doi:10.1371/journal.pone.0024851 (13 Oct 2011)
^Kathleen M. Pryer & Eric Schuettpelz (2009). "Ferns"(PDF). In S. Blair Hedges & Sudhir Kumar (ed.). The Timetree of Life. Oxford Biology.