This table is based on earlier documents. See below for a more up to date classification.
 

 GROUP

 NAME

 AUTHOR
 SYNONYMS  AUTHOR  HABITAT

 Antillanae

 acicularis

 Trelease 1913
   

 Cuba
 

 anomala

 Trelease 1913
   

 Cuba
 

  antillarum v. antillarum

 Descourtilz 1827
   

 Haiti ; Dominican Republic
     

 americana

 Urban
 
     

 dominicensis

 Ruse
 
 

 antillarum v. grammontensis

 Trelease 1927
   

  Haiti ; Dominican Republic
 

 brevipetala

 Trelease 1927
   

 Haiti
 

 brevispina

 Trelease 1927
   

 Haiti
 

 grisea v. grisea

 Trelease 1913
   

Cuba
     

   grisea v. cienfuegosana

  Trelease 1913

 Cuba
     

 grisea v. obesispina

 Trelease 1913

 Cuba
 

 harrisii

 Trelease 1913
   

 Jamaica
 

 intermixta

 Trelease 1913
   

 Haiti
 

 legrelliana v. legrelliana

 Jacobi 1866
   

 Cuba
     

 americana

Sagra
 
     

 coccinea

 Lachaume
 
     

 laurentiana

 Jacobi 1866

 Cuba
     

 legrelliana v. brevifolia

 Trelease 1913

 Cuba
     

 melanacantha

 Lemaire ex Jacobi 1865

 Cuba
     

 offroyana
De Smet ex  Jacobi

 Cuba
 

 longipes

 Trelease 1913
   

 Jamaica
 

 missionum

 Trelease 1913
   

 Virgin Is.
     

 eggersiana

 Trelease 1913

 Virgin Is.
     

 morrisii

Eggers
 
     

 vivipara

Oldendorp
 
 

 portoricensis

 Trelease 1913
   

 Puerto Rico
 

 shaferi

  Trelease 1913
   

 Cuba
 

 sobolifera

 Salm-Dyck 1834
   

 Jamaica
     

 americana

Lamarck
 
     

 laetevirens

Hort ex Berger
 
     

 morrisii

 Baker 1887

 Jamaica
     

 morrisii

 Kent
 
     

 ornata

 Jacobi 1865

 Jamaica
 

 sobolifera v. spinidentata

 Hummelinck
   

 Jamaica
 

 underwoodii

 Trelease 1913
   

 Cuba
     

 americana

Millspaugh
 
     

 morrisii

Worsley
 

 Antillares

 albescens

 Trelease 1913
   

 Cuba
 

 brittoniana ssp. brittoniana

 Trelease 1913
   

 Cuba
 

 brittoniana ssp. brachycarpus

 Alvarez 1996
     
 
 brittoniana ssp. sancti-spirituensis

 Alvarez 1996
     
 

 papyrocarpa ssp. papyrocarpa

 Trelease 1913
   

 Gtr. Antilles
 

 papyrocarpa ssp. macrocarpa

 Alvarez 1985
     
 

 wildingii

 Todaro 1878
   

 Cuba
 

 tubulata

 Trelease 1913
   

 Cuba
     

 ekmanii

 Trelease

 Cuba
     

 ekmanii v. microdonta

 Trelease
 
     

 tubulata v. brevituba

Alvarez
 

 Bahamanae

 acklinicola

 Trelease 1913
   

 Bahamas
 

 bahamana

 Trelease 1913
   

 Bahamas
     

 rigida

Northrop
 
     

 sobolifera

Hitchcock
 
 

 braceana

 Trelease 1913
   

 Bahamas
     

 mexicana

Dolley
 
 

 cacozela

 Trelease 1913
   

 Bahamas
 

 indagatorum

 Trelease 1913
   

 Bahamas
 

 millspaughii

 Trelease 1913
   

Bahamas

 Caribaeae

 barbadensis

 Trelease 1913
   

 Barbados
     

 americana

  Dillenius
 
 

 caribaeicola

 Trelease 1913
   

 Martinique
     

 caribaea

 Baker
 
     

 grenadina

 Trelease 1913

 Grenada
     

 ?kewensis**

 Jacobi 1866
 
     

 martiana

 Koch 1860
 
     

 medioxima

 Trelease 1913

 Dominican Republic
     

 unguiculata

 Trelease 1913

 St. Lucia
     

 ventum-versa

 Trelease 1913

 St. Vincent
 

 dussiana

 Trelease 1913
   

 Guadaloupe
     

 montserratensis

 Trelease 1913

 Montserrat
 

 karatto

 Miller 1768
   

 St. Kitts
     

 keratto

 Haworth
 
     

 nevidis

 Trelease 1913

 Nevis
     

 obducta

 Trelease 1913

 Antigua
     

 salm-dyckii

Baker 1877
 
     

scheuermaniana 

 Trelease 1913

 Anguilla
     

 trankeera

 Trelease 1913

 Leeward Is. . .(Bonaire; ..Curacao)
     

 van grolae

 Trelease 1913

 St.Eustatius Is.

 Columbianae

 cundinamarcensis

 Berger 1915
   

 Columbia
 

 wallisii

 Jacobi 1870
   

 Columbia

 Inaguenses

 inaguensis

 Trelease 1913
   

 Bahamas
 

 nashii

 Trelease 1913
   

 Bahamas

 Vicinae

 arubensis

 Hummelinck 1936
   

 Leeward Is. .(Aruba)
 

 boldinghiana

 Trelease 1913
   

 Leeward Is. .(Curacao)
 

cocui 

 Trelease 1913
   

 Venezuela
     

 americana

 Humboldt
 
     

   cocui v. cucutensis

  Hummelinck 1936

 Venezuela
     

  cocui v. laguayrensis

 Hummelinck 1936

 Venezuela
 

 evadens

 Trelease 1913
   

 Trinidad
     

 polyacantha

Baker
 
     

 polyantha

 Dodge
 
     

 vivipara

Hart
 
 

 petiolata

 Trelease 1913
   

 Leeward Is. .(Curacao)
     

 lurida

 Hammelberg
 
 

 rutteniae

 Hummelinck 1936
     
 

 vicina

 Trelease 1913
   

  Leeward Is. .(Aruba)
     

 vivipara

Crantz
 
     

  vivipara v.cabaiensis

  Hummelinck
 
     

  vivipara v.cuebensis

  Hummelinck
 
 Viviparae

  vivipara***

 Linnaeus 1753
     
      

  sobolifera v. serrulata
 Terracciono

  Jamaica
     

 rubescens

  Salm-Dyck 1834

  Jamaica
 
(**see notes in 'Agaves of Continental North America' by H.S.Gentry under Agave Kewensis).
 
***The name agave vivipara appears several times in the literature from various authors ( Dalziel and Gibbs;Haworth; Linnaeus; Oldendorp ; Wight ) in various lists and refers to plants described in Barbados, Costa Rica and the Leeward Islands as well as the American mainland. It has been proposed by D.O.Wijnands in 1983 , P.Foster in 1992 and by G. Smith and E.Steyn in 1999 that the name is now specifically applied to plants formerly known as the variable complex of agave angustifolia.
In 2003 Garcia-Mendoza and Chiang published a paper in which they show that in fact angustifolia and vivipara are separate taxa and should not be considered as one and the same plant ( Brittonia 2003; 55:82-87).
Two synonyms of known Caribbean agaves are listed, a fuller list of synonyms of agave vivipara v. vivipara/angustifolia v. angustifolia is given below.  
 
Agave aboriginum (Trelease) / Agave angustifolia (Haworth) / Agave angustifolia var. angustifolia (Haworth) / Agave angustifolia var. rubescens (Salm-Dyck) Gentry) / Agave bergeri (Trelease ex Berger) / Agave breedlovei (Gentry) / Agave costaricana (Gentry) / Agave donnell-smithii (Trelease) / Agave elongata (Jacobi) / Agave endlichiana (Trelease) / Agave erubescens (Ellemeet) / Agave excelsa (Jacobi) / Agave excelsa (Baker) / Agave flaccida (Salm-Dyck) / Agave flaccida (Haworth) / Agave flavovirens (Jacobi) / Agave ixtli (Karwinsky ex Salm-Dyck) / Agave ixtli var. excelsa (Baker) Terracciano) / Agave ixtloides (Hooker) / Agave jacquiniana (Schultes) / Agave kirchneriana (Berger) / Agave lespinassei (Trelease) / Agave lurida (Jacquin) / Agave lurida var. jacquiniana (Schultes) Salm-Dyck) / Agave owenii (I. M. Johnston) / Agave pacifica (Trelease) / Agave panamana (Trelease) / Agave prainiana (Berger) / Agave prolifera (Schott ex Standley) / Agave punctata (Salm-Dyck) / Agave rigida (Spin) / Agave rigida (Berger) / Agave rigida var. elongata (Anonymus) / Agave rubescens (Salm-Dyck) / Agave serrulata (Karwinsky ex Otto) / Agave sicaefolia (Trelease) / Agave sobolifera var. serrulata (Terracciano) / Agave spectabilis (Todaro) / Agave vera-cruz var. jacquiniana (Schultes) Ascherson & Graebner) / Agave vivipara (Linné) / Agave vivipara (Wight) / Aloe vivipara (Crantz) / Agave vivipara var. rubescens (Salm-Dyck) Forster) / Agave vivipara var. woodrowii (Hort. ex Berger) / Agave wightii (Drummond & Prain) / Agave yaquiana (Trelease) / Agave zapupe (Trelease).
 
 

 GROUP

  AUTHOR

 INCLUDES

 SPECIES

 Antillanae

 Trelease 1913
 

 acicularis
     

 anomala
     

  antillarum
     

  cajalbanensis
     

  grisea
     

  harrisii
     

 intermixta
     

  legrelliana
     

 longipes
     

 missionum
     

  portoricensis
     

 shaferi
     

  sobolifera
     

 underwoodii

 Antillares

 Trelease 1913
 

 albescens
     

 brittoniana
     

 jarucoensis
     

 offoyana
     

  papyrocarpa
     

 tubulata
     

  wildingii

  Bahamanae

 Trelease 1913
 

 acklinicola
     

 bahamana
     

 braceana
     

  cacozela
     

  indagatorum
     

 millspaughii

 Caribaeae

 Trelease 1913

 Columbianae (Berger 1915)

 barbadensis
     

 caribaeicola
     

 cundinamarcensis
     

 dussiana
     

 karatto
     

 wallisii

 Inaguensis

 Trelease 1913
 

 inaguensis
     

 nashii

 Vicinae

 Thiede 2001
 

 arubensis
     

 boldinghiana
     

 cocui
     

 evadens
     

 petiolata
     

 rutteniae
     

 vicina

 Viviparae

 Trelease 1913
 

 vivipara
 
This classification is based on the one found in John Pilbeam's new book 'A Gallery of Agaves (2013).
The original source is the 'Handbook of Succulent Plants' by Joachim Thiede (2001).