Species Resolution in Triceratops

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    Journal of Vertebrate Paleontology 16(2):259-270, June

    1996

    1996

    by the Society

    of

    Vertebrate Paleontology

    Page charges paid for

    THE

    INOS UR

    SOCIETYCB>

    SPECIES

    RESOLUTION

    IN TRICER TOPS CLADISTIC

    AND MORPHOMETRIC

    APPROACHES

    CATHERINE

    A.

    FORSTER

    Department

    of

    Organismal Biology and Anatomy, University

    of

    Chicago, 1025 E. 57th Street, Chicago, Illinois 60637*

    ABSTRACT-Sixteen species of Triceratops have been proposed s ince the genus was erected by O. C. Marsh in 1889.

    Five

    of these species a re

    here

    considered technically invalid

    and a

    sixth

    is reassigned

    to

    Diceratops. Based on both

    cladistic analysis and morphometric shape analysis,

    all

    available

    skulls

    of t he t en remaining species of

    Triceratops

    are placed in one of two species: horridus and prorsus invalidating eight of the original ten

    species.

    These two

    species

    overlap

    in geographic

    and

    stratigraphic

    ranges. Because specimens

    of

    horridus

    greatly

    outnumber

    those of

    prorsus these morphotypes may represent d is tinct taxa rather than

    a

    single sexually dimorphic species.

    INTRODUCTION

    Triceratops was

    one of

    the largest and most numerous her

    bivorous dinosaurs

    in

    western

    North America

    at th e

    end

    of

    the

    Cretaceous. Based largely on

    well

    preserved skulls from Maas

    trichtian

    formations (Lance, Hel l Creek, Scollard,

    Frenchman)

    in Wyoming,

    Colorado,

    Montana,

    South

    Dakota, Alberta,

    and

    Saskatchewan, sixteen

    species

    of

    Triceratops have

    been named.

    Because

    of

    its

    abundance, apparent

    diversity, and late

    temporal

    occurence, Triceratops has

    figured

    prominently

    in

    studies of

    dinosaur

    abundance and diversity near

    the Cretaceous-

    Tertiary

    boundary in

    North

    America e.g. , Van Valen and

    Sloan,

    1977;

    Sloan et al., 1986; Sheehan et al. , 1991 .

    In 986, Ostrom and Wellnhofer redescribed the holotype of

    brevicornis

    (BSP 1964

    1

    458)

    and

    provided

    a

    historical

    ac

    count of Triceratops systematics.After a

    consideration

    of in

    dividual

    variation,

    sexual dimorphism,

    and

    ontogenetic

    effects,

    they concluded that Triceratops was monospecific. A complete

    analysis

    of

    this

    hypothesis,

    however,

    was

    beyond

    the

    scope

    of

    their paper se e also Ostrom and Wellnhofer, 1990 . Their paper

    underlined

    the

    modern biological

    species

    concept, and called

    for

    its application

    to the

    problem

    of

    species

    in

    Triceratops.

    This s tudy combines cladistic and

    morphometric

    information

    in a species

    analysis of

    Triceratops. The

    novelt ies that

    char

    acterize species occur by way of continuous shape change and

    the appearance of discrete characters. Shape,

    or quantitati

    ve

    ,

    information

    is explored

    through

    multivariate morphometric

    shape

    analysis.

    Qualitative characters are

    examined

    by cladistic

    analysis. available specimens

    of

    Triceratops Table 1 were

    examined to: 1

    determine

    the

    taxonomic validi ty of named

    species, 2 rediagnose

    the

    species based on

    groupings

    discov

    ered

    by analysis, and 3 discuss the diversi ty and

    range

    of

    variation within

    the

    genus.

    Institutional abbreviations include:

    AMNH,

    American Mu

    seum

    of Natural History,

    New York; BSP, Bayerische Staat

    samlung fr PaHiontologie und Historische Geologie, Munich;

    NMC,

    Canadian

    Museum of Nature, Ottawa;

    CM, Carnegie

    Museum

    of Natural

    History, Pittsburgh; FMNH, Field Museum

    of Natural History, Chicago; MCZ, Museum of

    Comparative

    Zoology,

    Cambridge;

    USNM, U.S. National Museum

    of

    Nat

    ural

    History,

    Washington, D.C.; LACM, Natural

    History Mu

    seum

    of

    Los Angeles County, Los Angeles; SMM, Science Mu

    seum of Minnesota, St. Paul; SnSM, South Dakota School

    of

    Mines,

    Rapid

    City;

    UCMP,

    University of California at Berke-

    Present

    address:

    Department of Anatomical Sciences, Health

    Sci

    ences Center, State Universi ty of New

    York

    at Stony Brook, Stony

    Brook, NY

    11794.

    ley,

    Berkeley;

    YPM, Peabody

    Museum of Natural History,

    New Haven.

    SYSTEMATIC HISTORY

    OF

    TRICER TOPS

    Named Species

    The first specimens attributed to Triceratops

    were

    a pair

    of

    partial

    supraorbital horns

    collected

    in

    the

    Denver Fm.

    of Col

    orado

    and e rroneous ly refer red to the mammalian

    genus Bison

    by O. C. Marsh (1887). In the following year, J. B. Hatcher

    collected

    a partial skull from

    the

    Lance

    Formation,

    Niobrara

    County, Wyoming, which Marsh (1889a) originally

    described

    as Ceratops horridus. Later

    that

    year Marsh

    (1889b)

    erected

    the

    genus Triceratops

    with

    horridus as

    the type species, and

    renamed the bison specimen Triceratops alticornis.

    Over t he nex t

    eight

    years,

    Marsh named e ight more species:

    galeus

    (1889b), flabellatus (1889b),

    serratus

    (1890a),

    prorsus (1890a), sulcatus

    (1890b),

    elatus (1891),

    calicornis

    1898 ,

    and

    obtusus 1898 . Six

    additional species

    were

    described

    by subsequent authors:

    brevicornis

    Hatcher,

    1905 hatcheri

    (Lull in

    Hatcher et al. , 1907 , ingens Lull,

    1915 maximus (Brown, 1933 ,

    eurycephalus

    Schlaikjer,

    1935 , and albertensis

    (Sternberg,

    1949 .

    Of t he se s ix teen speci es , four a re based on

    inadequate ma

    terial:

    galeus

    (an isolated nasal horn;

    USNM

    2410), alti-

    cornis (a

    pair of supraorbital horns;

    USNM

    4739),

    sulcatus

    (a pair of supraorbital horns;

    USNM

    4276), and maximus

    (eight dorsa l ver tebrae ;

    AMNH

    5040).

    These

    specimens are

    nomina dub ia and canno t

    be

    assigned to Triceratops with cer

    tainty. A fifth species,

    ingens

    (YPM 1828 , is an unpublished

    name of Marsh s

    mentioned

    by

    Lull 1915 .

    The

    type specimen

    is a l arg e, par tia l sku ll a ss ignabl e to Triceratops. Lul l men

    tioned ingens without

    description

    or diagnosis, and

    it

    is

    con

    sidered here

    a

    nomen

    nudum.

    Triceratops hatcheri

    was

    originally

    described

    by Lull in

    Hatcher et al. , 1907 as Diceratops

    hatcheri then later synon

    ymized with Triceratops Lull, 1933 . In this study, Diceratops

    is considered a

    valid

    taxon and hatcheri

    is

    removed

    again to

    this taxon.

    This revis ion is

    discussed

    in

    the

    following

    section.

    Validity

    Diceratops

    The taxon Diceratops (USNM 2412) consists

    of

    a single

    skull

    without lower jaws

    or postcrania. Generic characters

    were

    originally described as: nasal horn absent, squamosals

    pierced

    by large

    fenestra,

    parietal

    with

    small

    fenestrae, and a squamosal

    lacking

    an

    inferior jugal notch.

    Nasal

    horns a re a lso occas ion

    ally

    missing

    in specimens

    of

    Triceratops due to the la ck

    of

    fusion

    between

    the

    epinasal

    ossification

    and

    the nasal

    boss For-

    259

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    260 JOURNAL

    OF

    VERTEBRATE

    PALEONTOLOGY

    VOL.

    16,

    NO.

    2, 1996

    TABLE Specimen

    numbers, species assignments, geographic

    and

    stratigraphic information,

    and

    basal skull

    length

    BSL for specimens used

    in this study. Abbreviations: H, holotypes; e, estimated measurement; NA, not available skull either incomplete

    or

    inaccessible .

    Original species

    Specimen assignment

    This study

    Location

    Formation

    BSL

    cm

    AMNH

    5116

    elatus

    horridus

    Niobrara Co., Wyo. Lance 110 e

    AMNH 970 serratus horridus western Montana

    Hel l Creek NA

    BSP 1964 1 456 brevicornis H

    prorsus

    Niobrara Co., Wyo.

    Lance NA

    CM

    1221 brevicornis

    prorsus

    western Montana Hel l Creek

    116

    FMNH

    P12003

    calicornis

    horridus SW Montana

    Hel l Creek 110

    LACM 7207

    sp.

    prorsus

    western Montana Hell Creek

    110

    MCZ 1102

    eurycephalus H

    nomen

    dubium

    Goshen Co., Wyo.

    Lance

    NA

    NMC 8862 albertensis

    H

    nomen dubium

    southern

    Alberta

    Scollard NA

    SDSM

    2760

    horridus horridus western Montana

    Hel l Creek

    NA

    SMM P62/1/1

    prorsus

    horridus western Montana

    Hell

    Creek

    127

    UCMP 113697

    horridus horridus McCone

    Co.,

    Montana

    Hel l Creek NA

    USNM 1201 elatus H horridus Niobrara Co. , Wyo.

    Lance

    104 e

    USNM

    2100 elatus horridus Niobrara Co., Wyo.

    Lance

    NA

    USNM 4720 obtusus H

    horridus Niobrara Co., Wyo.

    Lance NA

    USNM 4928 calicornis

    H horridus

    Niobrara

    Co., Wyo. Lance 118

    YPM 1820 horridus H horridus H Niobrara Co., Wyo.

    Lance

    NA

    YPM

    1821

    flabellatus H) horridus Niobrara Co., Wyo.

    Lance

    106 e

    YPM

    1822 prorsus H prorsus H)

    Niobrara Co., Wyo. Lance

    88

    YPM 1823 serratus H

    horridus

    Niobrara Co., Wyo.

    Lance 102

    ster, 1996 . This likely accounts for the absent nasal horn in

    Diceratops.

    Squamosal fenestrae commonly occur in all chasmosaurine

    ceratopsids

    Chasmosaurus, Pentaceratops, Anchiceratops, Ar-

    rhinoceratops, Torosaurus except Triceratops.

    In

    chasmosaur

    ines, squamosal fenestrae

    are

    located pos te rior to the contact

    with the paroccipital processes, are

    either

    uni-

    or

    bilateral

    or

    missing

    altogether in sorne specimens , a re near ly uniform in

    shape,

    and possess smoothly rounded

    margins.

    Squamosals

    of

    Triceratops are uniformly

    thick and

    never

    exhibit

    fenestration

    or thinning.

    A large fenestra

    occurs

    in the left

    squamosal

    of

    Diceratops

    immediately posterior to

    the

    paroccipital processes, and a small

    oval fenestra

    pierces

    the

    right

    squamosal . Sorne authors e.g.,

    Lull, 1933

    considered these

    fenestrae a pathological result of

    injuries. Where the

    margins

    of the fenestrae

    are

    preserved in

    Diceratops

    they are

    smoothly rounded and lack

    any

    outward

    sign of t rauma. However, there is a pathologica l area of bone

    along

    t he l ef t squamosal-parietal suture,

    immediately posterior

    to the left fenestra. The margin of the fenestra near this callosity

    is smooth and

    even,

    apparently uneffected by this injury. The

    even

    nature of

    the squamosal

    fenestrae in Diceratops, coupled

    with the ubiquitous appearance of fenestrae

    of

    similar shape,

    size,

    and position

    in all

    chasmosaurines exclusive

    of

    Tricera-

    tops, indicate

    squamosal

    fenestrae are a rea l morphological en

    tity

    not predicated by

    injury.

    Diceratops also possesses

    parietal fenestrae, a

    character

    also

    shared with all other chasmosaurines exclusive of Triceratops.

    The

    r ight par ie ta l has a

    narrow

    16 cm. long opening .

    Much

    of

    the

    margin

    of thi s fenestra is obscured by plaster, but enough

    margin is preserved to discern its approximate size and confirm

    its presence. Additionally,

    the

    parietal

    immediately surrounding

    the fenestral margin is very thin. The left parietal is too poorly

    preserved

    to

    provide

    additional information.

    Diceratops

    shares with

    Torosaurus

    a unique configuration of

    the frontal fontanelle.

    In these two

    taxa, a

    shallow channel

    ex

    tends posterolaterally from the frontal fontanelle the frontal

    fontanelle is paired in Torosaurus and single in

    Diceratops

    towards

    the anter ior margin

    of each

    upper temporal

    fenestra.

    Each channel

    terminates

    at a foramen in the par ietal the an

    terior

    temporal

    foramen of

    Marsh,

    1892

    medial

    to

    the upper

    temporal

    fenestrae. These

    anterior temporal

    foramina are

    found in no o ther ceratopsids.

    Dice

    ratops

    possesses both

    parietal

    and squamosal

    fenestrae,

    and sha res a unique frontal fontanelle configuration

    with

    To-

    rosaurus. Additionally, the frilllbasal

    skulllength

    of Diceratops

    i s greater than that

    of

    all Triceratops specimens. A recent c la

    distic analysis of the

    Chasmosaurinae by Forster

    1990 also

    supports the validity of Diceratops. While this is

    not

    a

    complete

    reanalysis

    of

    the systematic position of Diceratops, these char

    acters indicate

    Diceratops

    Hes

    outside Triceratops

    and validates

    i ts removal from this analysis.

    Diagnoses of Taxa

    The

    removal

    of

    the

    taxa listed aboye leaves ten technically

    valid species

    of Triceratops. Each

    of t he se ten specie s were

    erected

    citing

    morphology thought

    unique

    to

    that species.

    The

    majority

    of these

    species-level characteristics involve

    ornamen

    tal

    morphology

    of

    the

    supraorbital horn, nasal horn,

    and

    frill.

    Most are poorly diagnosed, and these defining characteristics

    are

    summarized

    below:

    horridus

    holotype: YPM 1820; Marsh, 1889a . Characters

    same as for genus.

    flabellatus

    holotype:

    YPM

    1821; Marsh , 1889b . Fan-l ike

    frill, large epoccipitals,

    very

    large size.

    serratus holotype: YPM 1823; Marsh , 1890 . Possesses a

    series of

    bony

    projections

    a long the median

    Hne of t he pa

    rietal crest, with a similar

    ridge

    along the squamosals caudal

    to the postorbital .

    prorsus

    holotype: YPM 1822; Marsh, 1890 .

    Massive horn

    cores; narrow,

    extensive

    frill with broadly

    convex squamo

    sals;

    and

    a long,

    forward projecting

    nasal horno

    elatus holotype: USNM 1201;

    Marsh,

    1891 . Moderate sized

    nasal horn; long, pointed , and forward

    directed supraorbital

    horns; and

    an elongate

    and much

    elevated

    frill.

    calicornis holotype: USNM 4928; Marsh, 1898 . Unusual ,

    dorsally-concave nasal

    horn with

    horseshoe-shaped dorsal

    surface.

    obtusus

    holotype:

    USNM 4720;

    Marsh , 1898 . Very short,

    rounded, and

    obtuse

    nasal horno

    brevicornis holotype: BSP 1964 I 458, formerly YPM 1834;

    Hatcher, 1905 .

    Short

    and

    stout

    supraorbital horns; short

    and

    nearly vertical

    nasal

    horn; ell iptical orbit ; and open frontal

    fontanelle.

    eurycephalus

    holotype: MCZ 1102; Schlaikjer, 1935 . Rel

    atively

    long

    frill;

    short den ta ry and

    facial region; elevated

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    FORSTER SPECIES RESOLUTION

    IN TRICERATOPS

    261

    orbit , small

    nasal

    horn; very long

    and slender

    supraorbital

    horns;

    and separate

    exit s for le ft

    and right olfactory

    nerves.

    a.lberte sis holotype:

    GSC

    8862; Sternberg, 1949).

    High

    fa

    cIal reglon;

    large

    antorbital fossa; supraorbital

    horns mostly

    behind orbits and

    directed

    vertically; frill not strongly up

    turned;

    squamosal long and

    thick.

    Generic diagnoses of Triceratops are as general as those of

    its species.

    Marsh

    1889b) originally

    diagnosed

    Triceratops

    as

    having

    a pair of massive supraorbital horn

    cores

    on

    the

    top of

    the skull, a

    third

    horn core on the nose, a rostral forming a

    projecting

    beak,

    a

    high

    frill

    extending

    upward and

    backward,

    and massive lower jaws united by a strong

    predentary.

    As ad

    ditional

    ceratopsid

    material was collected,

    i t became clear tha t

    these characters defined a more inclusive group

    than

    Tricera-

    tops.

    Hatcher

    et al. 1907) emended the original

    diagnosis

    of Tri-

    ceratops: Supraorbital horns

    directed

    forward and upward a t

    an angle

    of 45

    degrees; nasal

    horn

    of

    moderate length and

    di

    rec ted nearly straight forward; no parietal fontanelles; squa

    mosal

    short

    and broad. Later

    diagnoses of

    t he genus

    e.g.,

    ~ u l l

    1933; Steel , 1969) added little

    or

    nothing

    to

    this descrip

    tlon.

    The

    first

    comprehensive

    diagnosis

    of

    Triceratops

    was that

    of

    Ostrom

    and Wellnhofer

    1986, p. 115), nearly a century

    after

    the genus

    was

    first described:

    Large ceratopsian

    of more

    than

    6 m.

    l ength up to

    8

    or

    more

    meters. Skull distinctive bearing elongate supraorbital horn

    ~ o r e s

    plus

    a

    single

    variable nasal

    horn

    coreo Brow

    horns

    vary

    In taper, stoutness,

    curvature

    and length, bu t generally

    project

    up and moderately forward as we ll as laterally. Nasal horn

    tapers

    from

    a

    modestl y tapered bl unt bos s to

    a

    prominent

    upward and

    forward

    directed

    projection.

    Nasal

    horn

    always

    much shorter than brow horns. Brow horns never longer than

    pre-orbital

    sku ll l ength and

    usually distinctly shorter.

    Skull

    elongate with

    post-orbital

    length

    always

    greater than

    pre-or

    bital length. Parietal-squamosal fri ll relat ively short com

    pared to

    sorne

    other genera) and

    generally

    curves

    back

    and

    upward.

    The

    fril l is

    never

    fenestrated. Frill

    margins may

    be

    ornamented by blunt, scallop-like epoccipital bones. Horns or

    spikes are

    never present on

    frill

    margins or jugal

    flanges.

    Where known, post-cranial features and

    counts

    are compa

    rable to those of other large Late Cretaceous ceratopsian gen

    era.

    ~ h i s i g ~ o s i s emphasizes variability within Triceratops, par

    tIcularly In supraorbit al and nasal horn

    size

    and orientation

    ~ h i ~ h historically

    formed

    much of

    the basis

    for s p e i f i ~

    dlstInctlons. General

    characters

    defining more

    inclusive

    groups

    among ceratopsids, however, are also included. Triceratops is

    diagnosed here as

    follows:

    Nasal

    horn varies f rom small

    boss

    to modera te ly long horn

    p laced over f ront of external

    nares.

    Frontal

    fontanelle

    either

    s ~ l l

    and ~ i r c u l r or absent

    due to

    closure

    of frontals

    and pa

    rletals. Parletals unfenestrated, extremely thick, and

    heavily

    vascularized on their upper surface. Vascularized r im present

    around perimeter of ventral

    surface

    of frill.

    Squamosals

    broad

    and

    short relative to other

    chasmosaurines,

    with convex, round

    ed

    lateral margins.

    Epoccipital

    spans

    midline on

    the parietal,

    and squamosal-parietal suture. Fri ll

    saddle- shaped with up

    turned

    caudal margin,

    and

    strong

    parietal

    midline

    ridge.

    This diagnosis contains only those characters autapomorphic

    for the genus, sorne

    previously

    identified by

    Hatcher

    et al.

    1907) and

    Ostrom

    and Wellnhofer 1986).

    RESULTS

    Cladistic Aoalysis

    Discrete characters

    for

    Triceratops were compi led in

    a cla

    d is tic analysis. A

    recent

    cladistic analysis

    by For st er

    1990),

    placing Triceratops within the Chasmosaurinae, formed

    the

    ba

    sis f or the

    polarization

    of characters within Triceratops. Dicer-

    atops and Torosaurus form successive

    outgroups.

    Five

    char

    acters were

    found to

    vary among

    Triceratops specimens and

    are

    discussed below:

    1)

    Contact of t he squamosal , jugal , and

    postorbital

    aboye

    the lower temporal fenestra.

    This

    complex suture maintains a

    consistent, plesiomorphic pattern in most specimens e.g., CM

    1221), bu t exhib it s a

    unique pattern

    in

    YPM

    1822

    and SMM

    P62/1 /1 Fig . 1). Primitively the

    jugal

    forms the dorsal margin

    of

    the

    lower temporal fenestra and the squamosal extends dorsal

    to the j ugal to con tact the postorbital. In

    YPM

    1822 and

    SMM

    P62/1/1

    the squamosal

    forms

    the

    dorsal

    margin of

    the

    lower

    temporal

    fenestra

    and does not

    extend across

    the

    top of

    the

    jugal.

    2)

    Supraorbital horn

    length.

    The length of the

    supraorbital

    horns

    varies among Triceratops specimens, and

    has

    been

    cited

    as a species speci fic

    character in

    elatus,

    brevicornis,

    and

    eurycephalus.

    In relat ion

    to

    basal

    skull length, relat ively

    short horns

    are

    found i n BSP 1964 I 456, CM 1221, LACM

    7207, and YPM

    1822

    horn length/basal

    skull

    length ranging

    f rom 0.42 to 0.61). All other specimens where horn length and

    basal

    skulllengths

    can

    be

    measured

    or

    estimated have

    relatively

    longer

    supraorbital

    horns

    e.g.,

    USNM 4928, USNM

    1201,

    AMNH

    5166; horn length/basal skulllength 0.69 to 0.75).

    3)

    Closing of the

    frontal fontanelle.

    When

    present,

    the

    fron

    tal font anel le is a s ingl e,

    circular opening,

    often connected or

    nearly

    connected

    to

    t he upper t emporal

    fenestrae by

    shallow

    channels or

    furrows across

    t he sur face

    of

    the

    parietal e.g.,

    AMNH 5116, USNM 2100).

    The

    frontal fontanelle is absent

    due

    to

    the uninterupted suture between the

    frontals

    and p r i e t ~

    als, in sorne specimens

    of

    Triceratops YPM 1822, LACM

    7207, CM

    1221; Fig. 2).

    This absence of

    a frontal fontanelle

    in

    these

    specimens

    is

    unique

    among ceratopsids.

    4) Rostrum shape.

    The

    rostrum exhibits two morphologies

    among Triceratops

    specimens. Commonly

    the rostrum

    appears

    low and drawn-out, the premaxillae forming a reversed S

    shaped

    rostral

    margin

    e.g.,

    SDSM

    2760,

    USNM

    4928).

    This

    form is plesiomorphic among

    chasmosaurines.

    Sorne Tricera-

    tops specimens possess a deep, shorter rostrum with a smoothly

    convex

    rostral

    margin

    YPM 1822,

    LACM 7207, CM

    1221,

    BSP 1964 I 458; Fig . 3) .

    5)

    Nasal horn

    length.

    The nasal horn assumes

    a varie ty

    of

    shapes and sizes and has been cited as a specific character in

    ca

    licornis,

    prorsus

    elatus, brevicornis,

    and

    ob-

    tusus.

    Long,

    curved,

    and

    forward

    inclined

    nasal

    horns

    angles

    range from approximately thirty to fifty degrees f rom the ver

    tical),

    extending anterior to the external

    nares e.g.,

    YPM

    1822,

    M 1221, UCMP 113697), differ discretely f rom the short, up

    rlght

    nasal horns e.g.,

    AMNH 5116, SDSM 2670;

    Fig. 4).

    Long nasal

    horns

    have horn

    length

    to

    basal

    skull

    length

    ratios

    of

    0.23 to 0.30, while short

    nasal

    horns show ratios of 0 .10 to

    0.13. A

    small boss

    of

    undefined

    shape

    occurs

    in

    obtusus

    USNM 4720) due to the loss of the

    epinasal

    ossification.

    The

    unusual nasal horn configuration in calicornis USNM 4928)

    results from

    the

    incomplete fusion of

    the epinasal

    ossification

    onto the

    nasal

    boss or horncore Forster , 1990, 1996; this mor

    phology

    is also

    clearly

    observed in

    UCMP

    113697).

    Nasal

    horns are often broken and their original configuration indeter

    minable

    e.g.,

    YPM

    1821).

    Other

    morphologies

    which lack discrete distributions, includ

    ing frill shape and supraorbital horn orientations, have been

    used

    to

    diagnose

    species of Triceratops.

    Wide ranging and con

    t i ~ u o u s

    variation occurs

    in

    these morphologies, making species

    dlagnoses based

    on

    these

    characters

    ambiguous. They

    are dis

    cussed below:

    Supraorbital

    Doro Orieotat ioo-The supraorbital horns

    express

    a

    range

    of

    orientation in

    Triceratops

    and

    appear in

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    263

    FIGURE

    4. Nasal horn length character 5 , right lateral view. A,

    short, upright horn,

    AMNH

    51

    16;

    long, inclined horn,

    CM

    1221.

    FIGURE

    5. Consensus tree for character analysis of ricer tops spec

    imens showing character distributions. This seven-s tep t ree has a con

    sistency index

    of

    0.714.

    Other specimens of horridus

    are

    AMNH

    5116,

    FMNH

    P12003,

    SDSM

    2706,

    USNM

    1201, 2100,4928,

    YPM

    1820, 1823.

    imens.

    The

    squamosal in

    Triceratops

    is short and broad relat ive

    to that in

    other

    chasmosaurines, but varies continually in shape

    from extremely broad and fan-Iike e.g.,

    YPM

    1822 to nar

    rowed

    and tapered posteriorly e.g.,

    USNM

    4928 . Orientation

    of the frill a lso varies

    among

    specimens, but slight distortions,

    notably lateral crushing or dorsoventral ftattening, are evident

    in many specimens, making comparisons of subtle orientation

    differences inconclusive.

    The five characters which vary discretely within

    Triceratops

    were compiled into a data matrix and analysed using

    PAUP

    Swofford, 1985; Appendix 1 The resulting 7-step con sensus

    tree consistency index

    =

    0.714, Fig. 5 separated out four spec

    imens

    YPM

    1822, LACM 7207, CM 1221, BSP 1964 1 458;

    the prorsus group , united by characters 2, 3, 4, and 5. AII

    other

    specimens fall within a

    horridus

    group. Character 5

    long nasal horn

    occurs

    in parallel between the

    prorsus

    group,

    FIGURE 3

    Rostrum shape character 4 , lef t lateral view. A, long, S

    shaped rostrum,

    USNM

    4928; short, rounded rostrum,

    LACM

    7207.

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    JOURN L

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    VOL.

    16,

    NO. 2,1996

    SMM

    P62/1/1,

    and UCMP

    113697,

    leaving only

    characters 2,

    3, and 4 to define unequivocably that group. The unusual cheek

    suture

    shared

    by YPM 1822

    and SMM

    P62/1/1

    character

    1)

    has

    an equivocal distribution.

    Multivariate Morphometric Shape Analysis

    Quantitative analyses

    of

    dinosaur morphology

    have

    been

    sporadically employed in s tudi es f or

    many

    years for

    a thor

    ough review see Chapman, 1990).

    These

    studies

    vary

    consid

    erably in both

    scope and methodology.

    Most

    notable are

    two

    ear ly studies by

    Dodson

    1975, 1976),

    which

    successfully

    used

    bivariate

    a ll ome tri c ana ly se s to

    probe

    questions of

    growth, sexual dimorphism,

    and

    systematics in hadrosaurids

    and Protoceratops. Chapman et

    al.

    1981) used

    a combination

    of bivariate

    and

    multivariate analyses to study systematics

    and

    sexual

    diorphism

    in the

    pachycephalosaur

    Stegoceras.

    A

    sim

    i lar study was carried

    out

    by Weishampel and

    Chapman

    1990)

    on Plateosaurus. Other multivariate analyses have used

    a

    landmark based

    shape analysis cal led

    RFTRA

    Resistance-Fit

    Theta-Rho

    Analysis; Benson e t

    al., 1982) , which

    performs

    pairwise

    comparisons of specimen shapes. This

    method

    was

    used

    by

    Chapman

    and Brett -Surman 1990) to explore system

    atics and variation in hadrosaur ids, and by

    Dodson 1993)

    to

    study systematics and morphological trends

    in

    ceratopsians.

    Thi s s tudy

    seeks to

    discover

    species

    differences

    if any)

    among Triceratops specimens based on multivariate discr im

    ination

    of shape

    via

    principal components analysis

    PCA).

    Principal components analysis is designed to analyse sets of

    correlated

    variables,

    in this

    case

    derived

    from

    distance

    mea

    surements t aken f rom Triceratops skulls. Principal compo

    nents analysis

    doe s not

    presume

    a

    priori

    groupings and

    thus

    allows for their discovery.

    Fourteen

    skulls of Triceratops

    were subjected

    to PCA using

    varying subsets of thirty-five distance variables. Distance vari

    ables were

    measured on

    the skulls

    between predetermined an

    atomically

    based

    landmarks Bookstein

    et

    al. , 1985; landmark

    locations

    and

    variables

    are summarized

    in

    Appendix

    11 .

    Dis

    tances of less t han 20 cen timete rs were

    measured

    to the near

    es t

    millimeter with

    dial

    calipers, and those

    over

    20 centimeters

    were measured to the nearest half centimeter with sliding cal

    ipers.

    The d is tance var iables were log

    transformed

    and sub

    jected

    to a principal components analysis.

    The

    resul ts were

    examined for g roup ings across the

    first

    three principal com

    ponent

    axes.

    Postcranial material was not included

    in this

    analysis. While

    skull material is abundant and

    well

    preserved, postcranial

    ma

    terial

    for Triceratops

    is

    l arge ly incomplete and scant ily col

    lected.

    Many

    specimens, including

    types, lack

    any postcranial

    material.

    Only

    skulls not

    exhibiting obvious

    distortion

    were included

    in the morphometric

    analysis.

    Where

    distortion occurred, mea

    surements were taken

    only

    of the

    undistorted

    areas.

    Distortion

    was assessed through d ir ec t observa tion and the compari son

    of bilateral measurements.

    Where

    good data were obtained

    from

    both

    sides of

    a skull,

    th e left and r igh t measu rement s

    were averaged.

    The

    distortion

    and

    incompleteness of many

    specimens

    rendered

    them

    completely

    or partially unavailable

    for analysis. Data missing for

    one

    or more variables in nearly

    all

    specimens,

    with

    missing variables

    varying

    from

    specimen

    to specimen, further complicated the construction of data sets.

    Regardless,

    14

    specimens,

    including

    eight

    holotypes, were

    analysed using multivariate morphometric methods. A number

    of independent analyses were

    run

    using dif fering subsets of

    var iables and specimens. Nine specimens w it h nearl y com

    plete

    data

    sets were analysed

    in

    the most inclusive runo Spec

    imens with less complete

    data

    sets

    were

    each

    analysed in

    sep-

    ara te runs using

    all

    available var iables for that specimen

    and

    all

    o ther specimens for which those var iables were known.

    The most inclus ive set

    of

    Triceratops specimens analysed

    Analysis 1)

    included nine specimens

    YPM 1821, 1822, 1823,

    AMNH 5116,

    USNM

    2100, 4928, SMM P62/1/1,

    FMNH

    P12003, CM

    1221) and twenty-five variables

    5-6, v9-15 ,

    vI7-20,

    v23-35). Numerical results of this and all other anal

    yses

    are shown in Appendix 111. Principal Component C) I

    captured

    53.7

    of

    the

    total variation,

    PC

    II 23.1 , and PC III

    6.70/0

    for a total

    of

    83.8 across the first three principal com

    ponents.

    PC

    1

    while loading

    on

    size, also

    contains

    shape

    information

    as

    evidenced

    by

    the negative

    value for v25, an axial measure

    ment along

    the

    face.

    Although

    there is a general

    trend

    to in

    crease variable length with general s ize, v25 exhib it s a general

    reduction in

    length.

    All

    bu t

    two specimens

    li ne up

    along

    the

    PC

    I axis

    according

    to ba sa l skull length, again

    emphasizing

    the

    infiuence of size

    information within PC 1.

    AH residual val

    ues

    for PC I are

    within

    0.3 of zero,

    and the

    percentage of vari

    ation captured is only slightly ove r 50 . This is l ikely due to

    the narrow

    size

    range

    of the

    adult specimens

    involved 8 to

    127 cm. basal skull length) .

    PC

    II is bipolar,

    containing contrasting

    negative and positive

    values. Eight of

    the

    nine negative variables v8-13, v17, v19)

    involve transverse measurement across the skull; vIO and vIl

    have particularly

    high negative

    loadings. Principal

    Component

    II contrasts transverse measurements to other measurements on

    the

    skul l, tha t is

    the width of the

    skull is narrowing relat ive

    to

    other length

    measurements.

    A

    high

    amount of variance is ex

    plained by PC II 23.1 ), making it a s igni ficant shape axis.

    PC 111

    capturing

    only 6.7

    of the total variance, is also bipolar.

    Both negative and positive residual values occur for transverse

    measurements, measurements along the

    side of the face,

    and

    frill measurements.

    Principal component bip lo ts Fig . 6) show a fairly tight clus

    tering across

    PC 1 PC 11 and PC

    111. The

    two

    specimens of

    prorsus YPM 1822, CM 1221) cluster together alongside the

    horridus

    group,

    but do not

    separate

    completely

    from

    this

    group along any single axis .

    An analysis including LACM 7207 with the other

    prorsus

    group specimens involved

    seven

    additional

    specimens

    YPM

    1822,

    CM

    1221, SMM P62/1/1, USNM 2100, 1201, 4928,

    AMNH 5116) and eighteen var iables

    v3-6,

    v23-34;

    Fig. 7,

    Appendix

    111 . The

    first Principal

    Component

    accounted for

    48.3 of the var iance, PC II for 24. 8 , and PC I II for 15 .4 ,

    capturing a total

    of

    88.5 of

    the

    variance

    across

    the first

    three

    principal components. Again,

    PC

    I loads heavily but not ex

    clusively on

    size,

    whi le PC

    II

    and PC

    III

    include

    a high per

    centage of shape information. LACM 7207 clusters with

    YPM

    1822 and CM

    1221,

    completely separat ing from the horridus

    specimens

    along PC 11.

    Spec imens YPM 1820 type

    of

    horridus USNM 1201

    type

    of

    elatus

    4720

    type

    of

    obtusus

    and

    AMNH

    970

    were also included in separate, less complete analyses. These

    analyses, ranging from six to eight total specimens and 7 to 22

    variables per analysis, are summarized below.

    The YPM 1820 Analysis including YPM 1822, AMNH

    5116,

    USNM 2100,

    USNM 4928, CM

    1221, FMNH

    P12003;

    vl-2, v6-7,

    v13,

    v18-20,

    v35; Fig .

    8A, Appendix 111

    shows

    that YPM

    1820 is

    morphometrically consistent

    with the

    hor-

    ridus

    group. However, since

    only nine

    variables were employed

    the case admittedly is not strong.

    Analyses using

    USNM

    1201 including YPM 1822,

    AMNH

    5166, USNM 4928, CM 1221, FMNH P12003; vl-2, v4-7,

    v14,

    v17-20, v23-33) , USNM 4720

    including

    USNM

    1201,

    2100,4928,

    CM

    1221,

    YPM

    1822,

    AMNH

    5116; vl-3, v5-7,

    v19), and AMNH 970 including YPM 1821, 1822, 1823,

    AMNH

    5116,

    USNM

    4928,

    CM

    1221,

    FMNH

    P12003;

    v5-8,

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    265

    o

    O

    O

    o

    o

    o

    o

    o

    A

    P

    8

    P

    e

    P

    FIGURE 6. Principal

    component

    biplots

    for

    Analysi s 1. A, PC I-PC ; B, PC I-PC

    ;

    C

    PC

    II-PC Open circles

    represent

    prorsus

    specimens CM 1221

    and

    YPM 1822,

    and closed

    circles represent

    orri us specimens AMNH 5116, FMNH P12006, SMM P62/1/1, USNM

    2100, 4928,

    YPM

    1821, 1823.

    vI2-14 v18, v20, v35 were also mn Fig. 8B-D Appendix

    111 These

    three

    specimens lie within morphospace consistent

    with

    the

    horridus grouping. Available

    character data

    for

    AMNH 970 open frontal fontanelle is also consistent with this

    grouping.

    Pertinent character data

    are

    unavailable

    for

    USNM

    4720.

    DISCUSSION

    Character analysis suggests

    that

    Trice

    ratops specimens

    can be divided into two groups: a prorsus group YPM

    1822 type

    of

    prorsus;

    CM

    1221;

    LACM

    7207;

    BSP 1964

    I

    458 type

    of

    brevicornis

    and

    a

    horridus

    group

    con

    taining aH o ther specimens AMNH 5116;

    FMNH

    P12003;

    SDSM 2760; SMM

    P62/1/1;

    UCMP 113697; USNM 1201

    type of elatus; USNM 2100; USNM 4928 type

    of

    cal

    icornis; YPM 1820

    type

    of

    horridus;

    YPM 1823

    type

    of

    serratus .

    Derived characters indicative of

    the

    prorsus

    group include

    a

    closed frontal fontaneHe relatively short

    su-

    praorbital

    horns

    and

    a short

    convexly

    rounded rostrum.

    Specimens within the horridus group retain the p rimi tive

    states for these cha racter s but have no autapomorph ic char

    acters of

    their

    own.

    Morphometric shape analysis supports the character analysis

    by

    separating

    YPM

    1922,

    LACM

    7207

    and CM

    1221

    f rom the

    remainder

    of

    the specimens

    BSP 1964 I

    458 was not measured

    for this analysis . While the morphometric results

    support

    the

    cladistic analysis, shape cannot delineate groups

    in

    the absence

    of discrete

    character

    data.

    The type

    of

    flabellatus

    YPM 1821

    was

    excluded from

    the character analysis but included in

    the

    morphometric analysis

    where it grouped within the

    horridus

    morphospace. This

    specimen lacks

    supraorbital horns, rostral,

    and

    a

    nasal

    horn,

    and

    while the

    frontal fontanelle

    area

    is

    poorly preserved

    an

    opening

    appears to

    be

    presento

    Three types were not included

    in

    either the character analyses

    or the morphometric

    analyses

    due

    to

    incompleteness of the

    specimens. They are

    discussed

    below.

    FIGURE 7. Principal

    components

    biplots for LACM

    7207

    Analysis. A PC

    I-PC

    ; B, PC

    I-PC

    ; C PC II-PC Open circles represent

    prorsus specimens

    CM

    1221,

    LACM

    7202,

    and YPM

    1822,

    and

    closed circles

    represent horridus

    specimens

    AMNH 5116 SMM

    P62/1/1/,

    USNM

    2100, 1201, 4928.

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    JOURN L OF VERTEBR TE

    P LEONTOLOGY

    VOL 16 NO 2,1996

    o

    o

    P

    P

    A B

    o

    o

    e

    P

    D

    P

    FIGURE 8. Principal

    components

    biplots

    PC

    I-PC 11 A

    YPM

    1820 Analysis.

    Open

    circles represent

    prorsus

    specimens CM 1221

    and

    YPM

    1822 closed circles represent horridus specimens AMNH 5116

    FMNH

    P12006

    USNM

    2100 4928,

    and

    cross represents

    YPM

    1820;

    B USNM 1201 Analysis. Open circles represent prorsus specimens CM 1221 and YPM 1822 closed circles represent

    horridus

    specimens

    AMNH 5116, FMNH P12006

    USNM

    4928, and cross represents

    USNM

    1201; C,

    USNM 4720

    Analysis.

    Open

    circles represent

    prorsus

    specimens CM 1221 and

    YPM

    1822 closed circles represent

    horridus

    specimens AMNH 5116

    USNM

    1201 2100 4928 and cross represent

    USNM 4720; D AMNH 970 Analysis. Open circles represent prorsus specimens CM 1221 and YPM 1822 closed circles represent

    horridus

    specimens

    AMNH 5116 USNM 4928,

    YPM

    1821 1823

    and

    cross represents AMNH 970.

    obtusus USNM 4720)-The short rounded obtuse na-

    sal

    horn diagnosing

    the species results

    from

    the absence

    of

    the

    epinasal ossification. The rostrum is

    missing

    and the frontal

    fontanelle region is damaged , but very long supraorbital horns

    are presento

    albertensis NMC 8862)-This specimen consists primar-

    ily of

    the

    left

    cheek and

    facial region a partial left supraorbital

    horn and a lef t squamosal ; a ll

    material

    is poorly preserved and

    deformed. No character information i s availab le s ince the fron-

    tal fontanelle

    region and

    rostrum are not

    preserved.

    The verti-

    cal caudally placed supraorbital horn used to diagnose the spe-

    cies is

    the

    result of

    severe postdepositional

    deformation.

    Sim

    ilarly the antorbital

    fossa

    region is artificially

    enlarged

    due to

    damage. The morphology of the squamosal Hes within the range

    of

    that

    for

    Triceratops

    eurycephalus

    MCZ

    1102)-This

    specimen

    is heavily

    reconstructed and very poorly preserved. I t consists of the

    right

    cheek region,

    two near ly complet e and long supraor

    b it al horns , a

    partial braincase,

    l eft na sa l, le ft squamosa l,

    lower jaws, and

    portions of

    the

    parietal

    and right squamosal.

    However,

    the

    relatively small

    occipital condyle

    and nar row

    mandibles

    of

    the specimen do not resemble those

    of

    Tricer-

    atops raising doubts

    as

    to the generic identity

    of

    this

    frag-

    mentary

    specimen.

    The incomplete

    and

    fragmentary frill and

    lack

    of

    epoccipitals and

    frontal fontanelle

    region also make

    the

    identification of this

    specimen as

    Triceratops impossible

    to

    confirmo

    There is no

    stratigraphic or

    geographic

    separation

    between

    horridus and

    prorsus

    groups. YPM 1822 and BSP 1964

    1

    456

    are

    from Niobrara

    Co.,

    Wyoming, and LACM

    7207

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    RESOLUTION IN

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    A

    FIGURE 9. Representat ive specimens

    of

    the

    two

    species of Triceratops A, T horridus

    SDSM

    2760; B, T prorsus YPM 1922.

    267

    and CM 1221 f rom western Montana. Specimens

    of

    T hor-

    ridus occur at

    both these

    sites. General

    stratigraphic

    data are

    available only for

    Niobrara

    County Wyoming. this region

    YPM 1822 was found approximately at m id

    section and

    BS P

    1964 1 45 6

    approximately

    two thirds of the way up section.

    Specimens of T horridus are found both aboye within and

    below

    the

    intervals containing the two

    T

    prorsus

    specimens.

    Stratigraphic

    and geographic data do

    not

    preclude

    the hy-

    pothesis that these two morphotypes represent a single sexually

    dimorphic species. However,

    T

    horridus greatly

    outnumber

    those

    of

    T

    prorsus

    an unlike ly rati o a Ithough cert ainly not

    impossible considering possible preservational biases in fossil

    taxa for a sexually

    dimorphic

    species . Basal skul l lengths of

    these two

    morphs

    also broadly overlap, showing no

    bimodality

    that may indicate a size dif ference between sexes T prorsus

    specimens

    range from 88 to 116

    cm;

    T

    horridus

    specimens

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    from

    102

    to

    127 cm . Conversely,

    the presence of two contem

    poraneous

    morphs

    does

    not

    negate the

    posibility of two separate

    species; species part it ioning may have occurred ecologically

    rather than temporally or

    geographically.

    The

    preceeding analysis is summarized in

    the

    following re

    vision

    of the

    systematic hierarchy:

    CER TOPSI

    Marsh,

    1888

    NEOCER TOPSI Sereno, 1986

    CER TOPSID E

    Marsh,

    1888

    CH SMOS URIN E Lambe, 1915

    Genus TRICER TOPS Marsh,

    1889

    TRICER TOPS HORRIDUS Marsh,

    1889

    Holotype-YPM

    1820

    Revised

    Species Diagnosis-same as

    for genus

    see above;

    Fig.9A).

    Synonyms-T. flabellatus

    T

    serratus T elatus

    T

    calicor-

    nis

    and

    T

    obtusus

    TRICER TOPS

    PRORSUS

    Marsh, 1890

    Holotype-

    YPM 1822

    Revised

    Species Diagnosis-frontal

    fontanelle absent, su

    praorbital horns relatively short with horn length/basal skull

    length

    of 0.61

    or

    less,

    rostrum

    relatively

    deep and short wit h

    convexly rounded rostral

    margin

    Fig. 9B .

    Synonym-T. brevicornis

    CONCLUSIONS

    Triceratops is

    here

    divided into two species, T horridus and

    T

    prorsus

    The other named species are revised as fol lows: T

    flabellatus

    T

    serratus

    T elatus T

    calicornis

    and T obtusus

    are

    junior

    synonyms of

    T

    horridus This is due to the absence

    of discrete

    and consistent morphological

    characters

    or shape

    differences

    that

    cou ld be

    used to

    differentiate these

    species.

    T brevicornis is considered a junior synonym

    of

    T

    prorsus

    based on

    the

    possession

    of

    the

    same shared derived characters

    that define

    T

    prorsus Finally,

    T

    eurycephalus and

    T

    alber-

    tensis are

    considered nomina

    dubia.

    ACKNOWLEDGMENTS

    1 thank Peter Dodson and Paul Sereno for their help through

    ou t

    this study,

    and

    Barry Chernoff for assistance

    with both

    the

    cladistic and morphometric analyses. The illustrations were

    skillfully prepared by

    Carol

    Abraczinskas, who 1 also thank for

    her assistance and advise.

    Access

    to

    specimens

    was

    kindly

    pro

    v ided by J. Ostrom and M. Turner, E. Gaffney and C. Holton,

    E Jenkins , Jr.

    and

    C. Schaff , N.

    Hotton and

    M.

    Brett-Surman,

    D. Berman, J. Bolt, B. Er ickson, Bjork, K.

    Stadtman,

    D.

    Russell and

    K. Shepherd, K.

    Padian and

    H. Hutchison,

    and

    S.

    McLeod. Peter Dodson, Paul

    Sereno,

    and Ralph Chapman

    pro

    vided valuable

    suggestions

    on an earlier version of this manu

    script

    This work was

    partially

    supported through

    grants from

    Sigma Xi and the Geological Society

    of

    America to

    the

    au

    thor ,

    and trom t he Dav id and Luci le Packard Foundat ion

    to

    C. Sereno . This study

    formed

    part of my

    Doctoral

    Disser

    tation in the Department

    of

    Geology, University of Pennsyl

    vania ; 1

    warmly thank

    the faculty, staff,

    and

    students for

    their

    help and encouragement.

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    Niobrara County, Wyoming. American Journal of

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    270 JOURNAL OF VERTEBRATE PALEONTOLOGY,

    VOL

    16

    NO

    2 1996

    APPENDIX

    APPENDIX

    Continued

    Numerical

    results of Analysis 1

    Component

    n

    9

    2

    3

    p

    26

    Component

    Variable

    v19 0.125

    0.663

    0.010

    2

    3

    v20 0.377

    0.196

    0.190

    Variable v35

    0.419 0.268 0.502

    v5

    0.152

    0.052

    0.018

    variance 79.7

    10.6

    4.5

    v6 0.100 0.102

    0.123

    cumulative

    variance

    79.7 90.3 94.8

    v9

    0.185

    0.059 0.054

    Numerical

    results of USNM 1201 Analysis

    vIO 0.256

    0.086

    0.006

    n 6

    vIl 0.247

    0.568

    0.078

    P

    2

    v12

    0.293

    0 .452 0.164

    Component

    v13

    0.251

    0.001

    0.050

    v14

    0.188

    0 .184 0.106

    2

    3

    v15

    0.172

    0.088

    0.095

    vI

    0.457 0.492

    0.182

    v17 0.126 0.060

    0.162

    v2 0.076 0.187

    0.047

    v18 0.242 0.125 0.340

    v4

    0.257

    0.059 0.116

    v19 0.136

    0.217

    0.103

    v5

    0.194

    0.070

    0.190

    v2 0

    0.284 0.057 0.009

    v6 0.088

    0.104 0.090

    v23 0.078

    0.209

    0.086

    v7 0.301

    0.009 0.057

    v24 0.036

    0.114

    0.093

    v14 0.200

    0.335 0.203

    v25

    0.070

    0.002

    0.236

    v17 0.158 0.065

    0.065

    v26 0.076

    0.033 0.398

    v18 0.188

    0.089 0.416

    v27

    0.170

    0.009 0.107

    v19 0.172

    0.359

    0.020

    v28 0.235 0.306

    0.384

    v20

    0.282

    0.168 0.178

    v29 0.238

    0.283

    0.201

    v23

    0.020

    0.361

    0.148

    v30

    0.251

    0.102

    0.234

    v24

    0.046

    0.173

    0.070

    v31

    0.146

    0.141

    0.099

    v25

    0.071

    0.166

    0.261

    v32

    0.004

    0.026

    0.465

    v26 0.129 0.133

    0.408

    v33

    0.201

    0.154 0.124

    v27

    0.134

    0.025

    0.095

    v34 0.216

    0.174

    0.208

    v28 0.211 0.205 0.485

    v35

    0.297 0.146

    0.031

    v29

    0.322

    0.263

    0.200

    variance

    53.7

    23.1 6.7

    v30 0.333

    0.116

    0.234

    cumulative variance 53.7 76.8 83.5

    v31

    0.166 0.180

    0.107

    Numerical

    results

    of LACM 7207

    Analysis

    v32

    0.112

    0.222 0.131

    n 8

    variance 59.4

    17.9

    11.5

    P

    16

    cumulative variance

    59.4

    77.3

    88.8

    Component

    Numerical results of USNM 4720 Analysis

    2 3

    n 7

    P 7

    Variable

    Component

    v3 0.043

    0.408

    0.451

    2 3

    v4

    0.156 0.342 0.103

    v5

    0.082 0.410

    0.015

    Variable

    v6

    0.126

    0.080 0.115

    vI

    0.910 0.290

    0.176

    v23 0.307

    0.407

    0.048

    v2 0.115

    0.319

    0.422

    v24 0.186 0.086 0.071

    v3 0.303 0.071

    0.560

    v25

    0.113

    0.416 0.156

    v5 0.133

    0.484

    0.304

    v26 0.257 0.025

    0.536

    v6

    0.003

    0.362

    0.031

    v27

    0.172

    0.122

    0.170

    v7

    0.213

    0.559

    0.179

    v28 0.342

    0.273

    0.554

    v19

    0.065

    0.362

    0.593

    v29 0.399 0.140 0.106

    variance 67.7 15.8 12.9

    v30 0.307 0.049

    0.233

    cumulative

    variance 67.7 83.5 96.4

    v31

    0.247

    0.103

    0.117

    v32

    0.328

    0.251

    0.005

    Numerical results of AMNH 970 Analysis

    v33

    0.327

    0.021

    0.178

    n 8

    v34 0.262

    0.098

    0.061

    p

    10

    variance

    48.3

    24.8

    15.4

    Component

    cumulative

    variance

    48.3

    73.1 88.5

    2

    3

    Numerical

    results of YPM 1820 Analysis

    Variable

    n 7

    v5 0.198

    0.149

    0.329

    p 9

    v6 0.131

    0.241

    0.185

    Component

    v7 0.334

    0.226

    0.223

    2 3

    v8 0.237

    0.080 0.376

    v12

    0.409

    0.760

    0.279

    Variable

    v13

    0.324

    0.147 0.072

    vI 0.589 0.297

    0.158

    v14

    0.287

    0.266

    0.525

    v2

    0.040

    0.445

    0.517

    v18 0.368

    0.032

    0.303

    v6

    0.079 0.242

    0.157

    v20

    0.384

    0.096

    0.273

    v7

    0.326 0.246

    0.056

    v35 0.373

    0.427 0.377

    v13 0.345

    0.004 0.120

    variance

    72.6 16.0

    5.5

    v18

    0.293

    0.214

    0.615

    cumulative

    variance 72.6

    88.6 94.1