Head-directionality parameter

In linguistics, head directionality is a proposed parameter that classifies languages according to whether they are head-initial (the head of a phrase precedes its complements) or head-final (the head follows its complements). The head is the element that determines the category of a phrase: for example, in a verb phrase, the head is a verb. Therefore, head initial would be "VO" languages and head final would be "OV" languages.

Some languages are consistently head-initial or head-final at all phrasal levels. English is considered to be mainly head-initial (verbs precede their objects, for example), while Japanese is an example of a language that is consistently head-final. In certain other languages, such as German and Gbe, examples of both types of head direction occur. Various theories have been proposed to explain such variation.

Head directionality is connected with the type of branching that predominates in a language: head-initial structures are right-branching, while head-final structures are left-branching. On the basis of these criteria, languages can be divided into head-final (rigid and non-rigid) and head-initial types. The identification of headedness is based on the following:
 * 1) the order of subject, object, and verb
 * 2) the relationship between the order of the object and verb
 * 3) the order of an adposition and its complement
 * 4) the order of relative clause and head noun.

Types of phrase
In some cases, particularly with noun and adjective phrases, it is not always clear which dependents are to be classed as complements, and which as adjuncts. Although in principle the head-directionality parameter concerns the order of heads and complements only, considerations of head-initiality and head-finality sometimes take account of the position of the head in the phrase as a whole, including adjuncts. The structure of the various types of phrase is analyzed below in relation to specific languages, with a focus on the ordering of head and complement. In some cases (such as English and Japanese) this ordering is found to be the same in practically all types of phrase, whereas in others (such as German and Gbe) the pattern is less consistent. Different theoretical explanations of these inconsistencies are discussed later in the article. There are various types of phrase in which the ordering of head and complement(s) may be considered when attempting to determine the head directionality of a language, including:


 * Verb Phrase: the head of verb phrase (VP) is a verb, and the complement(s) are most commonly objects of various types. The ordering here is related to one of the chief questions in the word order typology of languages, namely the normal order of subject, verb and object within a clause (languages are classed on this basis as SVO, SOV, VSO, etc.).




 * Noun Phrase: the head of a noun phrase (NP) is a noun; various kinds of complementizer phrases (CPs) and adpositional phrases (PPs) can be complements.




 * Adjective Phrase: the head of an adjective phrase (AP) is an adjective, which can take as a complement, for example, an adverbial phrase or adpositional phrase (PP).




 * Adpositional Phrase: the head of an adpositional phrase (PP) is an adposition. Such phrases are called prepositional phrases if they are head-initial (i.e. headed by a preposition), or postpositional phrases if they are head-final (i.e. headed by a postposition). The complement is a determiner phrase (or noun phrase, depending on analytical scheme followed).




 * Determiner Phrase: the head of a determiner phrase (DP) is a determiner. DPs were proposed under generative syntax; not all theories of syntax agree that they exist.
 * Complementizer Phrase: the head of a complementizer phrase (CP) is a complementizer, like that in English. In some cases the C head is covert (not overtly present). The complement of C is generally agreed to be a tense phrase (TP).




 * Tense Phrase: the head of a tense phrase (TP) is tense; these are phrases in which the head is an abstract category representing tense; the complement is a verb phrase.
 * Aspect Phrase: the head of an aspect phrase (AspP) is aspect; these are phrases in which the head is an abstract syntactic category representing aspect. In more traditional analysis the entire phrase (including any elements denoting tense or aspect) is considered to be simply a verb phrase.

English
English is a mainly head-initial language. In a typical verb phrase, for example, the verb precedes its complements, as in the following example:
 * eat an apple
 * [VP [V eat] [DP an apple]]

The head of the phrase (the verb eat) precedes its complement (the determiner phrase an apple). Switching the order to "[VP [DP an apple] [V eat]]" would be ungrammatical.

Nouns also tend to precede any complements, as in the following example, where the relative clause (or complementizer phrase) that follows the noun may be considered to be a complement:
 * He married a girl who is from Texas.
 * [NP [N girl] [CP who is from Texas]]

Nouns do not necessarily begin their phrase; they may be preceded by attributive adjectives, but these are regarded as adjuncts rather than complements. Adjectives themselves may be preceded by adjuncts, namely adverbs, as in extremely happy. However, when an adjective phrase contains a true complement, such as a prepositional phrase, the head adjective precedes it:
 * a person happy about her work
 * [AP [A happy] [PP about her work]]

English adpositional phrases are also head-initial; that is, English has prepositions rather than postpositions:
 * a majority of eligible voters
 * [PP [P of] [DP eligible voters]]

On the determiner phrase (DP) view, where a determiner is taken to be the head of its phrase (rather than the associated noun), English can be seen to be head-initial in this type of phrase too. In the following example the head is taken to be the determiner any, and the complement is the noun (phrase) book:


 * any book
 * [DP [D any] [NP book]]

English also has head-initial complementizer phrases, as in this example where the complementizer that precedes its complement, the tense phrase Mary did not swim:
 * We saw that Mary did not swim
 * [CP [C that] [TP Mary did not swim]]

Grammatical words marking tense and aspect generally precede the semantic verb. This indicates that, if finite verb phrases are analyzed as tense phrases or aspect phrases, these are again head-initial in English. In the example above, did is considered a (past) tense marker, and precedes its complement, the verb phrase not swim. In the following, has is a (perfect) aspect marker; again it appears before the verb (phrase) which is its complement.
 * John has arrived
 * [AspP [Asp has] [VP arrived]]

The following example shows a sequence of nested phrases in which each head precedes its complement. In the complementizer phrase (CP) in (a), the complementizer (C) precedes its tense phrase (TP) complement. In the tense phrase in (b), the tense-marking element (T) precedes its verb phrase (VP) complement. (The subject of the tense phrase, the girl, is a specifier, which does not need to be considered when analyzing the ordering of head and complement.) In the verb phrase in (c), the verb (V) precedes its two complements, namely the determiner phrase (DP) the book and the prepositional phrase (PP) on the table. In (d), where a picture is analyzed as a determiner phrase, the determiner (D) a precedes its noun phrase (NP) complement, while in (e), the preposition (P) on precedes its DP complement your desk.
 * You know that the girl will put a picture on your desk.
 * a. CP: [CP [C that ] [TP the girl will put a picture on your desk ] ]
 * b. TP: [TP [T will ] [VP put a picture on your desk ] ]
 * c. VP: [VP [V put ]  [DP a picture ] [PP on your desk ] ]
 * d. DP: [DP [D a ]    [NP picture ] ]
 * e. PP: [PP [P on ]   [DP your desk ] ]

Indonesian
Indonesian is an example of an SVO head-initial language. The characteristic of it being a head-initial language can be examined through a dependency perspective or through a word order perspective. Both approaches lead to the conclusion that Indonesian is a head-initial language.

Dependency perspective
When examining Indonesian through a dependency perspective, it is considered head initial as the governor of both constituents are positioned before the dependent.

Placing the head before a dependent minimizes the overall dependency distance, which is the distance between the two constituents. Minimizing dependency distance allows for less cognitive demand as a head-final dependency requires the constituents in the dependent clause to be stored in working memory until the head is realized.

In Indonesian, the number of constituencies affects the dependency direction. When there are 6 constituents — which is a relatively short sentence — there is a preference for head initial relation. However, when there are 11-30 constituents, there appears to be a balance of head-initial and head-final dependencies. Regardless, Indonesian displays an overall head-initial preference on all levels of dependency structure as it consistently attempts to position the head as early on in the sentence even though it produces a longer dependency distance rather than placing the head after its dependents. Furthermore, Indonesian has an overall preference towards head-initial when comparing head-initial and head-final relation on all levels of constituent length for both spoken and written data.

Word order perspective
The subject of the sentence followed by the verb, representing SVO order. The following examples demonstrate head-initial directionality in Indonesian (note that perdana menteri "prime minister" is unusually being head-final):

Perdana menteri sudah pulang

Prime minister already home

"The Prime minister has returned home" [CP [DP Perdana menteri] [VP sudah pulang]]

Classifiers and partitives can function as the head nouns of noun phrases. Below is an example of the internal structure of a noun phrase and its head-initial word order.

Botol ini retak

Bottle DET-this crack

"This bottle is cracked" [CP[DP botol ini][VP retak]]

Head-initial word order is seen in the internal structure of the verb phrase in the following example where the V is in the head position of the verb phrase and thus appears before its complement:

Dokter memeriksa mata saya

Doctor checks eye PN-my

"The doctor checked my eyes" [CP[DPDokter][VP[V memeriksa][DPmata saya]]]

In Indonesian a noun can be followed by another modifying noun whose primary function is to provide more specific information about the preceding head noun, such as indicating what the head noun is made of, gender, locative sense, and what the head noun does, etc. However, no other word is able to intervene between a head noun and its following modifying noun. If a word follows the modifying noun, then it provides reference to the head noun and not the modifying noun. guru bahasa
 * Head noun: [N guru] + Modifying noun: [N bahasa]

teacher language

"language teacher"

guru sekolah itu
 * Head noun: [N guru] + Modifying noun: [N sekolah] + Determiner [D itu]

teacher school DET-that

"that schoolteacher"

toko buku
 * Head noun: [Ntoko] + Modifying noun: [N buku]

shop book

"Bookshop"

toko buku yang besar
 * Head noun: [Ntoko] + Modifying noun: [N buku] + Determiner phrase [DPyang besar]

shop book DET-a big

a big bookshop

sate ayam
 * Head noun: [N sate] + Modifying noun: [N ayam]

satay chicken

"chicken satay"

Japanese
Japanese is an example of a strongly head-final language. This can be seen in verb phrases and tense phrases: the verb (tabe in the example) comes after its complement, while the tense marker (ru) comes after the whole verb phrase which is its complement.



[TP [VP [DP ringo-o] [V tabe]] [T ru]]

Nouns also typically come after any complements, as in the following example where the PP New York-de-no may be regarded as a complement:



[NP [PP New York-de-no] [N koogi]]

Adjectives also follow any complements they may have. In this example the complement of quantity, ni-juu-meetoru ("twenty meters"), precedes the head adjective takai ("tall"):

[AP [Q ni-juu-meetoru] [A takai]]

Japanese uses postpositions rather than prepositions, so its adpositional phrases are again head-final:



[PP [DP Takasu-mura] [P ni]]

Determiner phrases are head-final as well:



[DP [NP dare] [D mo]]

A complementizer (here koto, equivalent to English "that") comes after its complement (here a tense phrase meaning "Mary did not swim"), thus Japanese complementizer phrases are head-final:

[CP [TP Mary-ga oyog-ana-katta] [C koto]]

Turkish
Turkish is an agglutinative, head-final, and left-branching language that uses a SOV word order. As such, Turkish complements and adjuncts typically precede their head under neutral prosody, and adpositions are postpositional. Turkish employs a case marking system which affixes to the right boundary of the word it is modifying. As such, all case markings in Turkish are suffixes. For example, the set of accusative case marking suffixes -(y)ı-, -(y)i-, -(y)u-, -(y)ü- in Turkish indicate that it is the direct object of a verb. Additionally, while some kinds of definite determiners and postpositions in Turkish can be marked by case, other types also exist as free morphemes. In the following examples, Turkish case marker suffixes are analyzed as complements to the head.

Head-final Tense Phrase
In Turkish, tense is denoted by a case marking suffix on the verb.

Ahmet anne-sin-i ziyaret et-ti

Ahmet mother-3SG-ACC visit do-PAST

'Ahmet visited his mother.' [TP [VP et][T -ti]]

Head-final Verb Phrase
In neutral prosody, Turkish verb phrases are primarily head-final, as the verb comes after its complement. Variation in object-verb ordering is not strictly rigid. However, constructions where the verb precedes the object are less common.

Çocuk-lar çikolata sever

child-PL chocolate like

'Children like chocolate.' [VP [DP çikolata][V sever]]

Head-final Determiner Phrase
In Turkish, definite determiners may be marked with a case marker suffix on the noun, such as when the noun is the direct object of a verb. They may also exist as free morphemes that attach to a head-initial determiner phrase, such as when the determiner is a demonstrative. Like other case markers in Turkish, when the morpheme carrying the demonstrative meaning is a case marker, they attach at the end of the word. As such, the head of the phrase, in this case the determiner, follows its complement like in the example below:

Dün çok garip kitap-lar-ı oku-du-m

Yesterday very strange book-PL-ACC read-PAST-1SG

'Yesterday I read the very strange books.' [DP [NP kitap-lar][D -ı]]

Head-final Postpositional Phrase
Turkish adpositions are postpositions that can affix as a case marker at the end of a word. They can also be a separate word that attaches to the head-final postpositional phrase, as is the case in the example below:

Bu kitab-ı Ahmet için al-dı-m

This book-ACC Ahmet for buy-PAST-1SG

'I bought this book for Ahmet.' [PP [DP Ahmet][P için]]

Word order variation in matrix clauses
Turkish employs a case marking system that allows some constituents in Turkish clauses to participate in permutations of its canonical SOV word order, thereby in some ways exhibiting a 'free' word order. Specifically, constituents of an independent clause can be moved around and constituents of phrasal categories can occur outside of the projections they are elements of. As a result, it is possible for the major case-marked constituents of a clause in Turkish to appear in all possible orders in a sentence, such that SOV, SVO, OSV, OVS, VSO, and VOS word orders are acceptable.

This free word order allows for the verbal phrase to occur in any position in an independent clause, unlike other head-final languages (such as Japanese and Korean, in which any variation in word order must occur in the preverbal domain and the verb remains at the end of the clause ). Because of this relatively high degree of variation in word order in Turkish, its status as a head-final language is generally considered to be less strict and not absolute like Japanese or Korean, since while embedded clauses must remain verb-final, matrix clauses can show variability in word order.

In the canonical word order of Turkish, as is typical in a head-final language, subjects come at the beginning of the sentence, then objects, with verbs coming in last:

1. Subject-Object-Verb (SOV, canonical word order) Yazar makale-yi bitir-di

author article-ACC finish-PAST

'The author finished the article.'

However, several variations on this order can occur on matrix clauses, such that the subject, object, and verb can occupy all different positions within a sentence. Because Turkish uses a case-marking system to denote how each word functions in a sentence in relation to the rest, case-marked elements can be moved around without a loss in meaning. These variations, also called permutations, can change the discourse focus of the constituents in the sentence:

2. Object-Subject-Verb (OSV) Makale-yi yazar bitir-di

article-ACC author finish-PAST

'The author finished the article.'

In this variation, the object moves to the beginning of the sentence, the subject follows, and the verb remains in final position.

3. Object-Verb-Subject (OVS) Makale-yi bitir-di yazar

article-ACC finish-PAST author

'The author finished the article.'

In this variation, the subject moves to end of the sentence. This is an example of how verbs in Turkish can move to other positions in the clause, even though other head-final languages, such as Japanese and Korean, typically see verbs coming only at the end of the sentence.

4. Subject-Verb-Object (SVO) Yazar bitir-di makale-yi

author finish-PAST article-ACC

'The author finished the article.'

In this variation, the object moves to the end of the sentence and the verb phrase now directly precedes the subject, which remains at the beginning of the sentence. This word order is akin to English word order.

5. Verb-Subject-Object (VSO) Bitir-di yazar makale-yi

finish-PAST author article-ACC

'The author finished the article.'

In this variation, the verb phrase moves from the end of the sentence to the beginning of the sentence.

6. Verb-Object-Subject (VOS) Bitir-di makale-yi yazar

finish-PAST article-ACC author

'The author finished the article.'

In this variation, the verb phrase moves to the beginning of the sentence, the object moves so that it is directly following the verb, and the subject is at the end of the sentence.

German
German, while being predominantly head-initial, is less conclusively so than in the case of English. German also features certain head-final structures. For example, in a nonfinite verb phrase the verb is final. In a finite verb phrase (or tense/aspect phrase) the verb (tense/aspect) is initial, although it may move to final position in a subordinate clause. In the following example, the non-finite verb phrase es finden is head-final, whereas in the tensed main clause ich werde es finden (headed by the auxiliary verb werde indicating future tense), the finite auxiliary precedes its complement (as an instance of a verb-second construction; in the example below, this V2-position is called "T").

Ich werde es finden

I will  it find

"I will find it."
 * [TP [DP Ich] [T werde] [VP [DP es] [V finden]]]

Noun phrases containing complements are head-initial; in this example the complement, the CP der den Befehl überbrachte, follows the head noun Boten.

Man beschimpfte den Boten,  der den Befehl  überbrachte

one insulted  the messenger who the command delivered

"The messenger, who delivered the command, was insulted."
 * [NP [N Boten] [CP der den Befehl überbrachte]]

Adjective phrases may be head-final or head-initial. In the next example the adjective (stolze) follows its complement (auf seine Kinder).

der auf seine Kinder stolze Vater

the of his children proud father

"the father (who is) proud of his children"
 * [AP [PP auf seine Kinder] [A stolze]]

However, when essentially the same adjective phrase is used predicatively rather than attributively, it can also be head-initial:

weil er stolz auf seine Kinder ist

since he proud of his children is

"since he is proud of his children"
 * [AP [A stolz] [PP auf seine Kinder]]

Most adpositional phrases are head-initial (as German has mostly prepositions rather than postpositions), as in the following example, where auf comes before its complement den Tisch:

Peter legt das Buch auf den Tisch

Peter puts the book on the.ACC table

"Peter puts the book on the table."
 * [PP [P auf] [DP den Tisch]]

German also has some postpositions, however (such as gegenüber "opposite"), and so adpositional phrases can also sometimes be head-final. Another example is provided by the analysis of the following sentence:

Die Schnecke kroch das Dach hinauf

the snail crept the roof up

"The snail crept up the roof"
 * [PP [DP das Dach] [P hinauf]]

Like in English, determiner phrases and complementizer phrases in German are head-initial. The next example is of a determiner phrase, headed by the article der:

der Mann

the man

"the man"
 * [DP [D der] [NP Mann]]

In the following example, the complementizer dass precedes the tense phrase which serves as its complement:

dass Lisa eine Blume gepflanzt hat

that Lisa a flower planted has

"that Lisa planted a flower"
 * [CP [C dass] [TP Lisa eine Blume gepflanzt hat]]

Chinese
Standard Chinese (whose syntax is typical of Chinese varieties generally) features a mixture of head-final and head-initial structures. Noun phrases are head-final. Modifiers virtually always precede the noun they modify.

In the case of strict head/complement ordering, however, Chinese appears to be head-initial. Verbs normally precede their objects. Both prepositions and postpositions are reported, but the postpositions can be analyzed as a type of noun (the prepositions are often called coverbs).

Gbe
In Gbe, a mixture of head-initial and head-final structures is found. For example, a verb may appear after or before its complement, which means that both head-initial and head-final verb phrases occur. In the first example the verb for "use" appears after its complement:

Kɔ̀jó tó àmí lɔ́ zân

Kojo IMPERF oil DET use

"Kojo is using the oil."
 * [VP [DP àmí lɔ́] [V zân]]

In the second example the verb precedes the complement: Kɔ̀jó nɔ̀ zán àmí lɔ́

Kojo HAB use-PERF oil DET

"Kojo habitually used the oil/Kojo habitually uses the oil."
 * [VP [V zán] [DP àmí lɔ́]]

It has been debated whether the first example is due to object movement to the left side of the verb or whether the lexical entry of the verb simply allows head-initial and head-final structures.

Tense phrases and aspect phrases are head-initial since aspect markers (such as tó and nɔ̀  above) and tense markers (such as the future marker ná in the following example, but that does not apply to tense markers shown by verb inflection) come before the verb phrase.

dàwé lɔ̀ ná xɔ̀ kɛ̀kɛ́

man DET FUT buy bicycle

"The man will buy a bicycle."
 * [TP [T ná] [VP xɔ̀ kɛ̀kɛ́]]

Gbe noun phrases are typically head-final, as in this example:

Kɔ̀kú sín ɖìdè lɛ̀

Koku CASE sketch PL

"sketches of Koku"
 * [NP [KP Kɔ̀kú sín] [N ɖìdè]]

In the following example of an adjective phrase, Gbe follows a head-initial pattern, as the head yù precedes the intensifier tàùú.

àǔn yù tàùú

dog black INT

"really black dogs"
 * [AP [A yù] [Int tàùú]]

Gbe adpositional phrases are head-initial, with prepositions preceding their complement: Kòfi zé kwɛ́ xlán Àsíbá

Kofi take-PERF money to Asiba

"Kofi sent money to Asiba."
 * [PP [P xlán] [DP Àsíbá]]

Determiner phrases, however, are head-final:

Asíbá xɔ̀ àvɔ̀ àmàmú màtàn-màtàn ɖé

Asiba buy-PERF cloth green odd DEF

"Asiba bought a specific ugly green cloth"
 * [DP [NP àvɔ̀ àmàmú màtàn-màtàn] [D ɖé]]

Complementizer phrases are head-initial:

ɖé Dòsà gbá xwé ɔ̀ ɔ̀

that Dosa build-PERF house DEF DET

"that Dosa built the house"
 * [CP [C ɖé] [TP Dòsà gb xwé ɔ̀ ɔ̀]]

Dependency grammar
The idea that syntactic structures reduce to binary relations was introduced by Lucien Tesnière in 1959 within the framework of dependency theory, which was further developed in the 1960s. Tesnière distinguished two structures that differ in the placement of the structurally governing element (head): centripetal structures, in which heads precede their dependents, and centrifugal structures, in which heads follow their dependents. Dependents here may include complements, adjuncts, and specifiers.

Typology
Joseph Greenberg, who worked in the field of language typology, put forward an implicational theory of word order, whereby: The first set of properties make heads come at the start of their phrases, while the second set make heads come at the end. However, it has been claimed that many languages (such as Basque) do not fulfill the above conditions, and that Greenberg's theory fails to predict the exceptions.
 * If a language has VO (verb-before-object) ordering, then it will also have prepositions (rather than postpositions), and genitives and adjectives will be placed after the noun they modify.
 * If a language has OV ordering, then it will also have postpositions, and genitives and adjectives will be placed before the noun they modify.

Fundamental Principle of Placement
Winfred P. Lehmann, expanding upon Greenberg's theory, proposed a Fundamental Principle of Placement (FPP) in 1973. The FPP states that the order of object and verb relative to each other in a language determines other features of that language's typology, beyond the features that Greenberg identified.

Lehmann also believed that the subject is not a primary element of a sentence, and that the traditional six-order typology of languages should be reduced to just two, VO and OV, based on head-directionality alone. Thus, for example, SVO and VSO would be considered the same type in Lehmann's classification system.

Principles and parameters
Noam Chomsky's Principles and Parameters theory in the 1980s introduced the idea that a small number of innate principles are common to every human language (e.g. phrases are oriented around heads), and that these general principles are subject to parametric variation (e.g. the order of heads and other phrasal components may differ). In this theory, the dependency relation between heads, complements, specifiers, and adjuncts is regulated by X-bar theory, proposed by Jackendoff in the 1970s. The complement is sister to the head, and they can be ordered in one of two ways. A head-complement order is called a head-initial structure, while a complement-head order is called a head-final structure. These are special cases of Tesnière's centripetal and centrifugal structures, since here only complements are considered, whereas Tesnière considered all types of dependents.

In the principles and parameters theory, a head-directionality parameter is proposed as a way of classifying languages. A language which has head-initial structures is considered to be a head-initial language, and one which has head-final structures is considered to be a head-final language. It is found, however, that very few, if any, languages are entirely one direction or the other. Linguists have come up with a number of theories to explain the inconsistencies, sometimes positing a more consistent underlying order, with the phenomenon of phrasal movement being used to explain the surface deviations.

Antisymmetry
According to the Antisymmetry theory proposed by Richard S. Kayne, there is no head-directionality parameter as such: it is claimed that at an underlying level, all languages are head-initial. In fact, it is argued that all languages have the underlying order Specifier-Head-Complement. Deviations from this order are accounted for by different syntactic movements applied by languages. Kayne argues that a theory that allows both directionalities would imply an absence of asymmetries between languages, whereas in fact languages fail to be symmetrical in many respects. Kayne argues using the concept of a probe-goal search (based on the ideas of the Minimalist program), whereby a head acts as a probe and looks for a goal, namely its complement. Kayne proposes that the direction of the probe-goal search must share the direction of language parsing and production. Parsing and production proceed in a left-to-right direction: the beginning of sentence is heard or spoken first, and the end of the sentence is heard or spoken last. This implies (according to the theory) an ordering whereby probe comes before goal, i.e. head precedes complement.

Some linguists have rejected the conclusions of the Antisymmetry approach. Some have pointed out that in predominantly head-final languages such as Japanese and Basque, the change from an underlying head-initial form to a largely head-final surface form would involve complex and massive leftward movement, which is not in accordance with the ideal of grammatical simplicity. Some take a "surface true" viewpoint: that analysis of head direction must take place at the level of surface derivations, or even the Phonetic Form (PF), i.e. the order in which sentences are pronounced in natural speech. This rejects the idea of an underlying ordering which is then subject to movement, as posited in Antisymmetry and in certain other approaches. It has been argued that a head parameter must only reside at PF, as it is unmaintainable in its original form as a structural parameter.

Some linguists have provided evidence which may be taken to support Kayne's scheme, such as Lin, who considered Standard Chinese sentences with the sentence-final particle le. Certain restrictions on movement from within verb phrases preceding such a particle are found (if various other assumptions from the literature are accepted) to be consistent with the idea that the verb phrase has moved from its underlying position after its head (the particle le here being taken as the head of an aspect phrase). However, Takita (2009) observes that similar restrictions do not apply in Japanese, in spite of its surface head-final character, concluding that if Lin's assumptions are correct, then Japanese must be considered to be a true head-final language, contrary to the main tenet of Antisymmetry. More details about these arguments can be found in the Antisymmetry article.

Gradient classification
Some scholars, such as Tesnière, argue that there are no absolute head-initial or head-final languages. According to this approach, it is true that some languages have more head-initial or head-final elements than other languages do, but almost any language contains both head-initial and head-final elements. Therefore, rather than being classifiable into fixed categories, languages can be arranged on a continuum with head-initial and head-final as the extremes, based on the frequency distribution of their dependency directions. This view was supported in a study by Haitao Liu (2010), who investigated 20 languages using a dependency treebank-based method. For instance, Japanese is close to the head-final end of the continuum, while English and German, which have mixed head-initial and head-final dependencies, are plotted in relatively intermediate positions on the continuum.

Polinsky (2012) identified the following five head-directionality sub-types:
 * Rigid head-final languages, including Japanese, Korean and Tamil;
 * Non-rigid head-final languages, including Latin, German, Persian, Basque, Tsez and Avar;
 * Clearly head-initial languages, including Irish, Malagasy, Tongan and most Mayan languages;
 * "SVO/head-initial" languages, including Indonesian and Yucatec Mayan;
 * "SVO sundry", including English, Russian, the Romance languages and Bantu languages.

She identified a strong correlation between the head-directionality type of a language and the ratio of verbs to nouns in the lexical inventory. Languages with a scarcity of simple verbs tend to be rigidly head-final, as in the case of Japanese, whereas verb-rich languages tend to be head-initial languages.