Amaranthaceae is a family of flowering plants commonly known as the amaranth family, in reference to its type genus Amaranthus. It includes the former goosefoot family Chenopodiaceae and contains about 165 genera and 2,040 species,   making it the most species-rich lineage within its parent order, Caryophyllales.
Most species in the Amaranthaceae are annual or perennial herbs or subshrubs; others are shrubs; very few species are vines or trees. Some species are succulent. Many species have stems with thickened nodes. The wood of the perennial stem has a typical "anomalous" secondary growth; only in subfamily Polycnemoideae is secondary growth normal. 
The leaves are simple and mostly alternate, sometimes opposite. They never possess stipules. They are flat or terete, and their shape is extremely variable, with entire or toothed margins. In some species, the leaves are reduced to minute scales. In most cases, neither basal nor terminal aggregations of leaves occur. 
The flowers are solitary or aggregated in cymes, spikes, or panicles and typically perfect (bisexual) and actinomorphic. Some species have unisexual flowers. Bracts and bracteoles are either herbaceous or scarious. Flowers are regular with an herbaceous or scarious perianth of (one to) mostly five (rarely to eight) tepals, often joined. One to five stamens are opposite to tepals or alternating, inserting from a hypogynous disc, which may have appendages (pseudo staminodes) in some species. The anthers have two or four pollen sacs ( locules). In tribe Caroxyloneae, anthers have vesicular appendages. The pollen grains are spherical with many pores (pantoporate), with pore numbers from a few to 250 (in Froelichia).  One to three (rarely six) carpels are fused to a superior ovary with one (rarely two) basal ovule.  Idioblasts are found in the tissues.
The diaspores are seeds or fruits ( utricles), more often the perianth persists and is modified in fruit for means of dispersal. Sometimes even bracts and bracteoles may belong to the diaspore. More rarely the fruit is a circumscissile capsule or a berry. The horizontal or vertical seed often has a thickened or woody seed coat. The green or white embryo is either spirally (and without perisperm) or annular (rarely straight). 
Although most of the family use the more common C3 photosynthesis pathway, around 800 species are C4 plants; this makes the Amaranthaceae the largest group with this photosynthesis pathway among the eudicots (which collectively includes about 1,600 C4 species).  Within the family, several types of C4 photosynthesis occur, and about 17 different types of leaf anatomy are realized. Therefore, this photosynthesis pathway seems to have developed about 15 times independently during the evolution of the family. About two-thirds of the C4 species belong to the former Chenopodiaceae. The first occurrence of C4 photosynthesis dates from the early Miocene, about 24 million years ago, but in some groups, this pathway evolved much later, about 6 (or less) million years ago. 
The multiple origin of C4 photosynthesis in the Amaranthaceae is regarded as an evolutionary response to inexorably decreasing atmospheric CO2 levels, coupled with a more recent permanent shortage in water supply as well as high temperatures. Species with higher water-use efficiency had a selective advantage and were able to spread out into arid habitats. 
Amaranthaceae is a widespread and cosmopolitan family from the tropics to cool temperate regions. The Amaranthaceae (sensu stricto) are predominantly tropical, whereas the former Chenopodiaceae have their centers of diversity in dry temperate and warm temperate areas.  Many of the species are halophytes, tolerating salty soils, or grow in dry steppes or semi-deserts.
Some species, such as spinach ( Spinacia oleracea) or forms of beet ( Beta vulgaris) ( beetroot, chard), are used as vegetables. Forms of Beta vulgaris include fodder beet ( Mangelwurzel) and sugar beet. The seeds of Amaranthus, lamb's quarters (Chenopodium berlandieri), quinoa (Chenopodium quinoa) and kañiwa (Chenopodium pallidicaule) are edible and are used as pseudocereals.
Dysphania ambrosioides (epazote) and Dysphania anthelmintica are used as medicinal herbs. Several amaranth species are also used indirectly as a source of soda ash, such as members of the genus Salicornia (see glasswort).
A number of species are popular garden ornamental plants, especially species from the genera Alternanthera, Amaranthus, Celosia, and Iresine. Other species are considered weeds, e.g., redroot pigweed ( Amaranthus retroflexus) and alligatorweed ( Alternanthera philoxeroides), and several are problematic invasive species, particularly in North America, including Kali tragus and Bassia scoparia. Many species are known to cause pollen allergies. 
In the APG IV system of 2016, as in the previous Angiosperm Phylogeny Group classifications, the family is placed in the order Caryophyllales and includes the plants formerly treated as the family Chenopodiaceae.  The monophyly of this broadly defined Amaranthaceae has been strongly supported by both morphological and phylogenetic analyses. 
The family Amaranthaceae was first published in 1789 by Antoine Laurent de Jussieu in Genera Plantarum, p. 87–88. The first publication of family Chenopodiaceae was in 1799 by Étienne Pierre Ventenat in Tableau du Regne Vegetal, 2, p. 253. The older name has priority and is now the valid scientific name of the extended Amaranthaceae (s.l. = sensu lato).
Some publications still continued to use the family name Chenopodiaceae.       Phylogenetic research revealed the important impact of the subfamily Polycnemoideae on the classification (see cladogram): if Polycnemoideae are considered a part of Chenopodiaceae, then Amaranthaceae (s.str. = sensu stricto) have to be included, too, and the name of the extended family is Amaranthaceae. If Polycnemoideae would be separated as its own family, Chenopodiaceae and Amaranthaceae (s.str.) would form two distinct monophyletic groups and could be treated as two separate families.
Amaranthaceae Juss. (s.l.) includes the former families Achyranthaceae Raf., Atriplicaceae Durande, Betaceae Burnett, Blitaceae T.Post & Kuntze, Celosiaceae Martynov, Chenopodiaceae Vent. nom. cons., Corispermaceae Link, Deeringiaceae J.Agardh, Dysphaniaceae (Pax) Pax nom. cons., Gomphrenaceae Raf., Polycnemaceae Menge, Salicorniaceae Martynov, Salsolaceae Menge, and Spinaciaceae Menge.
The systematics of Amaranthaceae are the subject of intensive recent research. Molecular genetic studies revealed the traditional classification, based on morphological and anatomical characters, often did not reflect the phylogenetic relationships.
The former Amaranthaceae (in their narrow circumscription) are classified into two subfamilies, Amaranthoideae and Gomphrenoideae, and contain about 65 genera and 900 species in tropical Africa and North America. The Amaranthoideae and some genera of Gomphrenoideae were found to be polyphyletic, so taxonomic changes are needed. 
Current studies classified the species of former Chenopodiaceae to eight distinct subfamilies (the research is not yet completed): Polycnemoideae,   which are regarded as a basal lineage, Betoideae,  Camphorosmoideae,  Chenopodioideae,  Corispermoideae,  Salicornioideae,  Salsoloideae,  and Suaedoideae.  In this preliminary classification, the Amaranthaceae s.l. are divided into 10 subfamilies with approximately 180 genera and 2,500 species. 
A short synoptic list of genera is given here. For further and more detailed information, see the subfamily pages.
- "Tropics: Amaranthaceae Juss. – synonyms". 2018. Retrieved 2018-06-16.
- Christenhusz, M. J. M.; Byng, J. W. (2016). "The number of known plants species in the world and its annual increase". Phytotaxa. 261 (3): 201–217. doi: 10.11646/phytotaxa.261.3.1.
- The family Amaranthaceae at APWebsite.
- Kai Müller, Thomas Borsch (2005): Phylogenetics of Amaranthaceae using matK/trnK sequence data – evidence from parsimony, likelihood and Bayesian approaches. - Annals of the Missouri Botanical Garden, 92, p. 66-102.
- Gudrun Kadereit, Thomas Borsch, Kurt Weising, Helmut Freitag (2003): Phylogeny of Amaranthaceae and Chenopodiaceae and the evolution of C4 photosynthesis. - International Journal of Plant Sciences, Volume 164 (6), p.959–986.
- List of allergic plants in family Chenopodiaceae at pollenlibrary.com
- Angiosperm Phylogeny Group (2016). "An update of the Angiosperm Phylogeny Group classification for the orders and families of flowering plants: APG IV". Botanical Journal of the Linnean Society. 181 (1): 1–20. doi: 10.1111/boj.12385.
- Judd et al. (2008). Plant Systematics: A Phylogenetic Approach, Third Edition. Sinauer Associates, Inc. Sunderland, MA
- Hossein Akhani, Gerald Edwards, Eric H. Roalson (2007): Diversification Of The Old World Salsoleae s.l. (Chenopodiaceae): Molecular Phylogenetic Analysis Of Nuclear And Chloroplast Data Sets And A Revised Classification. - International Journal of Plant Sciences, 168(6), p.931–956.
- G. Kadereit, S. Hohmann, J.W. Kadereit (2006): A synopsis of Chenopodiaceae subfam. Betoideae and notes on the taxonomy of Beta. - Willdenowia 36, p.9-19.
- Gudrun Kadereit, Ladislav Mucina, Helmut Freitag (2006): Phylogeny of Salicornioideae (Chenopodiaceae): diversification, biogeography, and evolutionary trends in leaf and flower morphology. - Taxon 55(3), p. 617–642.
- Maxim V. Kapralov, Hossein Akhani, Elena V. Voznesenskaya, Gerald Edwards, Vincent Franceschi, Eric H. Roalson (2006): Phylogenetic Relationships in the Salicornioideae / Suaedoideae / Salsoloideae s.l. (Chenopodiaceae) Clade and a Clarification of the Phylogenetic Position of Bienertia and Alexandra Using Multiple DNA Sequence Datasets. - Systematic Botany.
- Gudrun Kadereit, Evgeny V. Mavrodiev, Elizabeth H. Zacharias, Alexander P. Sukhorukov (2010): Molecular phylogeny of Atripliceae (Chenopodioideae, Chenopodiaceae): Implications for systematics, biogeography, flower and fruit evolution, and the origin of C4 Photosynthesis. - American Journal of Botany 97(10), p. 1664-1687.
- Gudrun Kadereit, Helmut Freitag (2011): Molecular phylogeny of Camphorosmeae (Camphorosmoideae, Chenopodiaceae): Implications for biogeography, evolution of C4-photosynthesis and taxonomy. - Taxon 60(1), p. 51-78
- Ivonne Sánchez del-Pino, Thomas Borsch, Timothy J. Motle (2009): trnL-F and rpl16 Sequence Data and Dense Taxon Sampling Reveal Monophyly of Unilocular Anthered Gomphrenoideae (Amaranthaceae) and an Improved Picture of Their Internal Relationships. - Systematic Botany, Volume 34 (1), p. 57-67. doi: 10.1600/036364409787602401
- Rüdiger Masson & Gudrun Kadereit (2013): Phylogeny of Polycnemoideae (Amaranthaceae): Implications for biogeography, character evolution and taxonomy. Taxon 62 (1): 100-111. 
- Alexander P. Sukhorukov (2007): Fruit anatomy and its taxonomic significance in Corispermum (Corispermoideae, Chenopodiaceae). – Willdenowia 37, ISSN 0511-9618, p.63-87, doi: 10.3372/wi.37.37103
- Peter Schütze, Helmut Freitag, Kurt Weising (2003): An integrated molecular and morphological study of the subfamily Suaedoideae Ulbr. (Chenopodiaceae). - Plant Systematics and Evolution, Volume 239, p. 257-286. abstract: doi: 10.1007/s00606-003-0013-2
- Piirainen, Mikko; Liebisch, Oskar & Kadereit, Gudrun (2017). "Phylogeny, biogeography, systematics and taxonomy of Salicornioideae (Amaranthaceae/Chenopodiaceae) – A cosmopolitan, highly specialized hygrohalophyte lineage dating back to the Oligocene". Taxon. 66 (1): 109–132. doi: 10.12705/661.6.
- Media related to Amaranthaceae at Wikimedia Commons
- Data related to Amaranthaceae at Wikispecies
- The family Amaranthaceae at APWebsite.
- Genera of Amaranthaceae at Germplasm Resources Information Network (USDA)
- "Amaranthaceae". Integrated Taxonomic Information System.
- "Amaranthaceae". National Center for Biotechnology Information (NCBI).
- Amaranthaceae at Tropicos
- Amaranthaceae in BoDD – Botanical Dermatology Database
- IUCN link: Amaranthaceae threatened species
- Stanley L. Welsh, Clifford W. Crompton & Steven E. Clemants (2003): Chenopodiaceae in Flora of North America
- Kenneth R. Robertson & Steven E. Clemants (2003): Amaranthaceae in Flora of North America
- Gelin Zhu, Sergei L. Mosyakin & Steven E. Clemants (2003): Chenopodiaceae in Flora of China
- Bojian Bao, Thomas Borsch & Steven E. Clemants (2003): Amaranthaceae in Flora of China