The theory of recapitulation, also called the biogenetic law or embryological parallelism—often expressed using Ernst Haeckel's phrase  "ontogeny recapitulates phylogeny"—is a historical hypothesis that the development of the embryo of an animal, from fertilization to gestation or hatching (ontogeny), goes through stages resembling or representing successive adult stages in the evolution of the animal's remote ancestors (phylogeny). It was formulated in the 1820s by  Étienne Serres  based on the work of Johann Friedrich Meckel, after whom it is also known as Meckel–Serres law.
Since embryos also evolve in different ways, the shortcomings of the theory had been recognized by the early 20th century, and it had been relegated to "biological mythology" by the mid-20th century.
Analogies to recapitulation theory have been formulated in other fields, including cognitive development and art criticism.
Since embryos also evolve in different ways, the shortcomings of the theory had been recognized by the early 20th century, and it had been relegated to "biological mythology" by the mid-20th century.
Analogies to recapitulation theory have been formulated in other fields, including cognitive development and art criticism.
Embryology
Meckel, Serres, Geoffroy
The idea of recapitulation was first formulated in biology from the 1790s onwards by the German natural philosophers Johann Friedrich Meckel and Carl Friedrich Kielmeyer, and by Étienne Serres after which, Marcel Danesi states, it soon gained the status of a supposed biogenetic law.
The embryological theory was formalised by Serres in 1824–26, 
based on Meckel's work, in what became known as the "Meckel-Serres Law".
 This attempted to link comparative embryology with a "pattern of unification" in the organic world. It was supported by Étienne Geoffroy Saint-Hilaire,
 and became a prominent part of his ideas. It suggested that past 
transformations of life could have been through environmental causes 
working on the embryo, rather than on the adult as in Lamarckism. These naturalistic ideas led to disagreements with Georges Cuvier. The theory was widely supported in the Edinburgh and London schools of higher anatomy around 1830, notably by Robert Edmond Grant, but was opposed by Karl Ernst von Baer's ideas of divergence, and attacked by Richard Owen in the 1830s.
George Romanes's 1892 copy of Ernst Haeckel's controversial embryo drawings
Haeckel
Ernst Haeckel (1834–1919) attempted to synthesize the ideas of Lamarckism and Goethe's Naturphilosophie with Charles Darwin's
 concepts.  While often seen as rejecting Darwin's theory of branching 
evolution for a more linear Lamarckian view of progressive evolution, 
this is not accurate: Haeckel used the Lamarckian picture to describe 
the ontogenetic and phylogenetic history of individual species, but 
agreed with Darwin about the branching of all species from one, or a 
few, original ancestors. Since early in the twentieth century, Haeckel's "biogenetic law" has been refuted on many fronts.
Haeckel formulated his theory as "Ontogeny recapitulates 
phylogeny". The notion later became simply known as the recapitulation 
theory. Ontogeny is the growth (size change) and development (structure change) of an individual organism; phylogeny is the evolutionary
 history of a species. Haeckel claimed that the development of advanced 
species passes through stages represented by adult organisms of more 
primitive species.
 Otherwise put, each successive stage in the development of an 
individual represents one of the adult forms that appeared in its 
evolutionary history.
For example, Haeckel proposed that the pharyngeal grooves between the pharyngeal arches
 in the neck of the human embryo not only roughly resembled gill slits 
of fish, but directly represented an adult "fishlike" developmental 
stage, signifying a fishlike ancestor. Embryonic pharyngeal slits, which
 form in many animals when the thin branchial plates separating 
pharyngeal pouches and pharyngeal grooves perforate, open the pharynx to the outside. Pharyngeal arches appear in all tetrapod embryos: in mammals, the first pharyngeal arch develops into the lower jaw (Meckel's cartilage), the malleus and the stapes.
Haeckel produced several embryo drawings
 that often overemphasized similarities between embryos of related 
species. Modern biology rejects the literal and universal form of 
Haeckel's theory, such as its possible application to behavioural 
ontogeny, i.e. the psychomotor development of young animals and human 
children.
Contemporary criticism
Drawing by  Wilhelm His of chick brain compared to folded rubber tube, 1874. Ag (Anlage) = Optic lobes, matching bulges in rubber tube.
Haeckel's drawings misrepresented observed human embryonic 
development to such an extent that he attracted the opposition of 
several members of the scientific community, including the anatomist  Wilhelm His, who had developed a rival "causal-mechanical theory" of human embryonic development.
 His's work specifically criticised Haeckel's methodology, arguing that 
the shapes of embryos were caused most immediately by mechanical 
pressures resulting from local differences in growth. These differences 
were, in turn, caused by "heredity". His compared the shapes of 
embryonic structures to those of rubber tubes that could be slit and 
bent, illustrating these comparisons with accurate drawings. Stephen Jay Gould noted in his 1977 book Ontogeny and Phylogeny
 that His's attack on Haeckel's recapitulation theory was far more 
fundamental than that of any empirical critic, as it effectively stated 
that Haeckel's "biogenetic law" was irrelevant.
Embryology theories of Ernst Haeckel and Karl Ernst von Baer compared
Darwin proposed that embryos resembled each other since they shared a
 common ancestor, which presumably had a similar embryo, but that 
development did not necessarily recapitulate phylogeny: he saw no reason
 to suppose that an embryo at any stage resembled an adult of any 
ancestor. Darwin supposed further that embryos were subject to less 
intense selection pressure than adults, and had therefore changed less.
Modern status
Modern evolutionary developmental biology
 (evo-devo) follows von Baer, rather than Darwin, in pointing to active 
evolution of embryonic development as a significant means of changing 
the morphology of adult bodies. Two of the key principles of evo-devo, namely that changes in the timing (heterochrony) and positioning (heterotopy)
 within the body of aspects of embryonic development would change the 
shape of a descendant's body compared to an ancestor's, were however 
first formulated by Haeckel in the 1870s. These elements of his thinking
 about development have thus survived, whereas his theory of 
recapitulation has not.
The Haeckelian form of recapitulation theory is considered defunct.
 Embryos do undergo a period where their morphology is strongly shaped 
by their phylogenetic position, rather than selective pressures, but 
that means only that they resemble other embryos at that stage, not 
ancestral adults as Haeckel had claimed. The modern view is summarised by the University of California Museum of Paleontology:
Embryos do reflect the course of evolution, but that course is far more intricate and quirky than Haeckel claimed. Different parts of the same embryo can even evolve in different directions. As a result, the Biogenetic Law was abandoned, and its fall freed scientists to appreciate the full range of embryonic changes that evolution can produce—an appreciation that has yielded spectacular results in recent years as scientists have discovered some of the specific genes that control development.
Applications to other areas
The idea that ontogeny recapitulates phylogeny has been applied to some other areas.
Cognitive development
English philosopher Herbert Spencer
 was one of the most energetic proponents of evolutionary ideas to 
explain many phenomena. In 1861, five years before Haeckel first 
published on the subject, Spencer proposed a possible basis for a 
cultural recapitulation theory of education with the following claim:
If there be an order in which the human race has mastered its various kinds of knowledge, there will arise in every child an aptitude to acquire these kinds of knowledge in the same order... Education is a repetition of civilization in little.
— Herbert Spencer
G. Stanley Hall
 used Haeckel's theories as the basis for his theories of child 
development. His most influential work, "Adolescence: Its Psychology and
 Its Relations to Physiology, Anthropology, Sociology, Sex, Crime, 
Religion and Education" in 1904
 suggested that each individual's life course recapitulated humanity's 
evolution from "savagery" to "civilization". Though he has influenced 
later childhood development theories, Hall's conception is now generally
 considered racist. 
Developmental psychologist Jean Piaget favored a weaker version of the formula, according to which ontogeny parallels phylogeny because the two are subject to similar external constraints.
The Austrian pioneer of psychoanalysis, Sigmund Freud,
 also favored Haeckel's doctrine. He was trained as a biologist under 
the influence of recapitulation theory during its heyday, and retained a
 Lamarckian outlook with justification from the recapitulation theory.
  Freud also distinguished between physical and mental recapitulation, 
in which the differences would become an essential argument for his theory of neuroses.
In the late 20th century, studies of symbolism and learning in 
the field of cultural anthropology suggested that "both biological 
evolution and the stages in the child's cognitive development follow 
much the same progression of evolutionary stages as that suggested in 
the archaeological record".
Art criticism
The musicologist Richard Taruskin
 in 2005 applied the phrase "ontogeny becomes phylogeny" to the process 
of creating and recasting art history, often to assert a perspective or 
argument. For example, the peculiar development of the works by 
modernist composer Arnold Schoenberg
 (here an "ontogeny") is generalized in many histories into a 
"phylogeny" – a historical development ("evolution") of Western music 
toward atonal styles of which Schoenberg is a representative. Such historiographies
 of the "collapse of traditional tonality" are faulted by art historians
 as asserting a rhetorical rather than historical point about tonality's
 "collapse".
Taruskin also developed a variation of the motto into the pun 
"ontogeny recapitulates ontology" to refute the concept of "absolute 
music" advancing the socio-artistic theories of the musicologist Carl Dahlhaus. Ontology
 is the investigation of what exactly something is, and Taruskin asserts
 that an art object becomes that which society and succeeding 
generations made of it. For example, Johann Sebastian Bach's St. John Passion, composed in the 1720s, was appropriated by the Nazi regime in the 1930s for propaganda. Taruskin claims the historical development of the St John Passion (its ontogeny) as a work with an anti-Semitic
 message does, in fact, inform the work's identity (its ontology), even 
though that was an unlikely concern of the composer. Music or even an 
abstract visual artwork can not be truly autonomous ("absolute") because
 it is defined by its historical and social reception.