Paleomagnetic Dating

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    PaleomagneticDating

    Kenneth L. Verosub

    Departmentof Geology,Universityof California, Davis, California 95616

    INTRODUCTION

    The use of paleomagnetisms a datingmethod s based

    on variationsof the Earth's magnetic ield. Under appropri-

    ate circumstances, a record of the direction of the Earth's

    magnetic ield is preservedby geologic materials, such as

    rocks and sediments.Paleomagneticmethodscan be used o

    recover his recordand to determine ts reliability. f the pat-

    tern of variations in this record can be correlated with the

    knownpattern or the general egionor for the approximate

    time period, he recordcanbe used o determine he age of a

    geologicunit. With regard o paleoseismic tudies, he most

    likely uses of paleomagneticdating are correlation of

    sequences f Plio-Pleistocenemarine and continentalsedi-

    mentary ocks o the magneticpolarity ime scaleand corre-

    lation of a sequenceof rapidly-depositedHolocene lacus-

    trine sedimentso a regionalpatternof secularvariation. n

    certaincircumstances,t is alsopossible o date a singlehori-

    zon or an isolateddeposit.

    THEORY OF DATING METHOD

    Principles and Assumptions

    The Earth's magnetic ield is a vector,and in a conven-

    tional Cartesiancoordinatesystem ixed to a point on the

    surfaceof the Earth, this vectorhas hree orthogonal ompo-

    nents: up-down, north-southand east-west.The standard

    convention s to take the down, north, and east components

    as positive. n most circumstancest is more convenient o

    considerhe vector n termsof a spherical oordinate ystem.

    Again for a fixed point on the surfaceof the Earth, the three

    components re the engthof the vector, he angleof the vec-

    tor aboveor below the horizontalplane, and the deviationof

    the horizontal componentof the vector from true north.

    Thesecomponents re known, respectively, s the intensity

    QuaternaryGeochronology: ethodsandApplications

    AGU Reference Shelf 4

    Copyright2000 by the AmericanGeophysicalUnion

    (F), inclination (/), and declination (D). By conventio

    downward inclination and an eastward declination are tak

    as positive. The intensity, nclination, and declination

    related o the north N), east E), andvertical V) compon

    by the following equations:

    F = (N*N+E*E+ V* V)ø.5

    I = tan 1 V/(N*N+E*E) ø.5)

    (

    D = tan 1 (E/N) (

    These elationships re also shown n Figure 1.

    When sediment s deposited n a lake or ocean,whe

    lava flow coolsat the surfaceof the earth,or when potter

    fired in a kiln, the magnetic grains of the material beco

    magnetizedparallel to the Earth's magnetic field. Un

    favorable conditions, his magnetizationcan be prese

    over geologically or archaeologically) ignificantperiod

    time. The goal of mostpaleomagnetic tudies s the iden

    cation and isolation of the primary or original directio

    magnetizationof thesematehals (Collinson, 1983; Tarl

    1983; Butler 1992). If the primary directionsare assoc

    with fully-oriented samples, he directionscan be use

    reconstruct history of variationsof the geomagnetic ie

    The Earth's magnetic ield varies n different ways

    on different ime scales.The largestscalevariationsare co

    plete changesn the polarity of field, known as polarity tr

    sitions or reversals. Mathematically one can describe

    Earth's magnetic ield as the sum of a dipolar field an

    non-dipolar ield. The dipolar ield, whichcorrespondso

    field of a bar magnet,currentlyrepresents bout 80 perc

    of the total field. The dipolar ield determineshe overallp

    tern of the Earth's magnetic ield, and in its presentor n

    mal polarity state, the dipolar field producesan ove

    magnetic field that has downward inclinations in

    Northern hemisphere and upward inclinations in

    Southernhemisphere.n both hemispheres,he declinat

    are generallynorthward. n the oppositeor reversed o

    ity state, he inclinationsare upward n the Northern he

    sphereand downward n the Southernhemisphere. n b

    hemispheres,he declinations f a reversed ield are gene

    ly southward.

    339

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    340 PALEOMAGNETIC DATING

    Figure1. Relationshipetweenmagnetic omponentsn spherical

    coordinatesD, I, F) and n Cartesian oordinatesN, E, V).

    Over the past thirty years, the patternof normal and

    reversed olarities asbeenextensively tudied, ndmostof

    its featuresor thepast200 millionyears renowwell under-

    stood CandeandKent, 1992).The pattern f polaritystates

    is knownas he MagneticPolarityTime Scale MPTS) or the

    Geomagneticeversal ime Scale GRTS).The timeduring

    which he field remainsn a givenpolaritystatecan vary

    from 50,000years o manymillionsof years.The time dur-

    ing which the field is in the transitionalstatebetween he two

    polaritystatess on the orderof severalhousandears. he

    behavior f the ield during polarity ransitions not ully

    understoodnd s the subject f intense tudy t thepresent

    time (Laj and others, 1991, 1992; Valet and others, 1992;

    McFadden and others, 1993).

    The MPTS for the past 5.7 million years s shown n

    Figure2. Based n recent ating sing dvancedotassium-

    argon echniques,he dateof the ast ull-scale olarity ran-

    sition s nowplacedat 780,000yearsago Baksiandothers,

    1992). Previously, his boundarywas thought o be at

    760,000 years Izett and others,1988), and evenbefore hat,

    it wasplacedat 730,000years Mankinenand Dalrymple,

    1979). The time period since his reversal s known as the

    Brunhes ormalpolarityepochor Brunhes hron.The pre-

    ceding eversed olarity nterval s called he Matuyama

    reversed olarity poch r Matuyama hron. heMatuyama

    chronbegan bout2.6 millionyearsagoandcontains ever-

    al short ntervals f normalpolarity, ncludinghe Jaramillo

    (0.99 -1.05 mya) andOlduvai 1.78-2.02mya)events r sub-

    chrons Baksi, 1993).

    If the Earth'smagneticield werepurelydipolar n

    thisdipolewereoriented long he rotation xisof the Ea

    then in the normal polarity state, he declinationswo

    point precisely o the north and the inclinationswould c

    form o a well-definedormulahat s a function nlyof

    itude. Other orientations f the dipoleas well as the n

    dipolar ortion f the ield ead o deviationsrom hisp

    ly axialdipolar ieldconfiguration.ypicallyhese ariat

    can be as large as _+40 in declinationand _+20 in incl

    tion. Modem values of inclination and declination for No

    Americaare shown n Figure3.

    The non-dipolar ortionof the field is not static,an

    a result, he patterns hownn Figure3 will varywith ti

    At a fixedpointon the surface f the Earth, he chang

    the non-dipolar ortion f the field produce hangesn d

    lination and inclination that are known as secular variati

    Curves f secular ariationn London ndParis or thep

    400 yearsare shown n Figure4. Over longer nterva

    time, thesecurveswould orm a series f loopsaround

    TIME POLARITY POLARIT

    (10 YEARS) EVENT EPOCH

    1.0

    2.0

    3.0

    4.0

    5.0

    2.60

    3.55

    Jaramillo

    Cobb Mtn.

    Olduvai

    Reunion

    Brunhes

    Matuyam

    Kaena Gauss

    Mammoth

    Cochiti

    Nunivak

    Sidufjall

    Thvera

    Gilbert

    Figure 2. MagneticPolarityTime Scale (MPTS) for the last

    million years.

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    Figure3. Magneticdeclinationtop) and nclination bottom)over

    North America in 1975. (Redrawn rom Defense Mapping Agency

    Hydrographic enter,Charts 2 and30, 7th edition,June1975).

    dipolar field direction.Each loop would have a diffe

    shapealthough n many cases he loops show he gen

    clockwisebehavior seen n Figure 4. The time required

    the field to undergoa complete oop is on the order of 5

    1,000 years.

    Intermediate between secular variation and pola

    transitionss a classof phenomena nown as geomagn

    excursions.Geomagnetic xcursions an be characterize

    short-term,high-amplitudedeviationsof the geomagn

    field from the dipolardirection.No geomagnetic xcurs

    have occurred in historic times, and the paleomagn

    recordof them s difficult to decipher. he recordsof so

    geomagneticxcursionseem o suggesthat heyare sim

    large-scale ecularvariationwhile in other cases he e

    dence suggestshat they represent bortedpolarity tra

    tions (Hoffman, 1981). The problem s further complic

    by the fact that geomagnetic xcursions o not consiste

    appear n paleomagneticecordscovering he same ti

    span Thouveny nd Creer, 1992). To someextent his

    of consistencymay be due to inaccuraciesn dating an

    hiatuses n the geologicrecord, and there is growing e

    dence hat somegeomagnetic xcursions re at leastreg

    al phenomenaHerrero-Berverand others,1994). Ther

    also some evidence hat they may be related to period

    low geomagnetic ield intensity (Valet and Meynad

    1993).

    Until recently, paleomagnetists ave not paid m

    attention o the variations n the intensityof the geomag

    60 ø

    • 70ø

    LONDON

    ARIS

    1900

    - • 1600

    I I I

    340 ø 350 ø O* I00:330 ø

    1900 -

    1600 -

    800 I I I

    330 ø 340 ø 350 ø O*

    I0'

    DECLINATION

    Figure . Secular ariation f thegeomagneticield n Paris ndLondonor thepast 00 years afterThellier, 981).

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    342 PALEOMAGNETIC DATING

    ic field even though he intensityhas changedby more than

    5 percent n the last 150 years.Absolutedeterminations f

    the paleointensity f the field have been made for many

    yearsusing samples rom lava flows and from hearthsand

    pottery. However, the methodology Thellier and Thellier,

    1959) is very time-consuming, nd the percentage f sam-

    ples hat give unsatisfactoryesults anbe quitehigh (Aitken

    and others,1988). Primarily as a resultof the abor-intensive

    nature of thesestudies, he databaseof absolutepaleointen-

    sity determinationss relatively small.

    For sediments,he intensityof magnetization f a sam-

    ple is determinedboth by the intensityof the Earth's mag-

    netic field at the time the sediment s deposited nd by the

    concentration f magnetic arriers.The problemhasbeen o

    find a satisfactoryway of separating hese wo effects.One

    way to take account f the concentration f the magnetic ar-

    hers is to produce a new magnetization n the laboratory

    using a known magnetic ield (Opdyke and others, 1973;

    Banerjee and Mellema, 1974; Levi and Banerjee, 1976;

    Tucker, 1981). The ratio of the original ntensityof magneti-

    zation o the intensityof a laboratory-induced agnetization

    can be interpreted as a record of relative, rather than

    absolute,paleointensity. or many years, there were ques-

    tions about this approach Amerigian, 1977; Kent, 1982;

    King and others, 1983), but recently, new techniques nd

    new instrumentation ave addressed hese problems.More

    importantly, here s growingevidence or the global coher-

    enceof paleointensityeatures Tauxe,1993). These eatures

    have time scaleson the order of a several thousandyears,

    which is intermediatebetweensecularvariationand polarity

    transitions.

    Appropriate GeologicSettings

    The useof paleomagnetism s a dating echniqueusual-

    ly requiresa continuous equence f paleomagnetic irec-

    tionsalthough n certaincircumstances atingcan be accom-

    plishedusing he paleomagnetic irection rom a singlehori-

    zon. The sequence f directions s then correlated o a pre-

    existing, well-dated record of directions. n principle, the

    undatedsequence f directions an be obtained rom either a

    seriesof lava flows or from a sedimentary eposit. n prac-

    tice, for paleoseismicstudies, he sequence f directions s

    almost always obtained from sediments or sedimentary

    rocks.

    Time Range of Applicability

    Becausepaleomagneticdating is a correlational ech-

    nique, t can be used or any time range n which we have a

    well-dated record of geomagnetic ield behavior, provided

    the rate of sedimentation f the undatedsequence s high

    enough to resolve the major features of the well-da

    record.The two types of field behavior hat are most co

    monly used or paleomagnetic atingare polarity ransit

    (MPTS) and secularvariation. For studies hat involve co

    lation to the MPTS, the undated sequence an be as old

    200 million years.For studies hat involve the correlatio

    features n secular ariation, he undatedsequences alw

    less than 100,000 years old and is usually less than 10,

    years old.

    METHODOLOGY

    Sample Collection

    Material Type

    For sedimentsand sedimentary ocks, the best pa

    magnetic ecords ome rom relatively ine-grainedmate

    deposited n quiet water. In general his means hat silts

    siltstones nd mudsor mudstones re preferredalthough

    isfactory resultscan often be obtained rom clays or cl

    stones.Occasionallysandsor sandstones ill yield a sa

    factorypaleomagnetic ecord,but this usuallyrequiresa

    atively high fraction of finer-grainedmaterial. Limesto

    tend to be weakly magnetized, ut when a magnetization

    be measured, t is often very reliable. Within these c

    straints t is not possible o determine n the field wheth

    given sedimentaryunit will produce good paleomagn

    results,and the best approachs to collect samples or p

    studies rom as many units as possible.

    Field Collection Methods

    The specific techniqueused to collect paleomagn

    samplesdependson the physicalstateof the material. T

    most important consideration s that the sample which

    returned o the laboratorybe fully orientedwith respect

    geographiccoordinatesystem. n addition, if the sam

    comes rom a tilted bed, the strike and dip of the bed sho

    also be measured and recorded.

    For well-consolidatedor lithified matehal, samples

    be collected as cores drilled in the field using a porta

    water-cooled,gasoline-powered iamond-coredrill. S

    drills are availablecommercially, nd typically they prod

    a core that is 2.5 cm in diameter and between 5 and 15

    long. If the drill bit has been held straightand the mate

    being sampled s not prone to fracturing, he drilling pro

    dureremoves thin ring of matehaland eavesa solidcy

    der attached t its base o the outcrop.A slottedbrassor a

    minum tube s then slippedover the cylinder.The tube ha

    platform at its top on which can be placed a comp

    Determining he orientationnvolvesmeasuringhe angl

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    the brass ube from the horizontalplane and the bearing of

    the brass ube with respect o true North. Different laborato-

    ries use different conventions for these measurements, and it

    is important o find out in advancewhat these conventions

    are. After the orientation has been measured and recorded, a

    brasswire is placed n the slot on the tube. Movement of the

    wire in the slot produces n index line on the rock cylinder.

    The cylinder s freed from the outcropby tapping ightly on

    a chiselplaced n the openspacebetween he sampleand the

    outcrop. mmediately after the sample s removed rom the

    outcrop, he index ine shouldbe scribedwith a diamondsty-

    lus, and the direction nto or out of the outcropshouldbe

    clearly marked.

    In volcanic errain or in situationswhere power lines or

    similar installations an affect the local magnetic ield, the

    beatingasdeterminedwith a magnetic ompassmight not be

    accurate. his can be checkedby taking readingson promi-

    nent landmarksor by looking for changes n the compass

    directionas one moves oward or away from an outcrop. f

    there s a problemwith the directionsdeterminedby a mag-

    netic compass,t may be necessaryo use a suncompass. s

    its name mplies, a sun compass ses he positionof the sun

    to determine true azimuth.The positionof the sundepends

    on the longitudeand atitudeof the site, he time of day when

    the reading s made, and the day of the year. Tableswhich

    relate theseparameters o the positionof the sun are pub-

    lishedannually.

    An alternative o drilling samplesn the field is to collect

    orientedhand samples. ypically suchsamples re fist-sized

    or largerblocks.There are several chemesor obtainingori-

    ented block samples.One of the simplest nvolvesbreaking

    the sample rom the outcropand then putting t back in its

    originalposition.A continuous orizontal ine is then marked

    on two sidesof the block alongwith a north arrow.

    For unconsolidated ediments, t is usually most conve-

    nient to collect the samples n small plasticboxesabout 2.5

    cm on a side. n the field, samples re usuallycollected rom

    a fresh, clean vertical face. If the sediment can be carved

    with a small knife, a pedestal of material, the size of the

    insideof the box, is prepared, nd he box is slippedover he

    pedestalwith relatively minor distortion of the sediment.

    Simply pushing box into an outcropor hammering t in can

    disturb he sediment nough o affect he magneticdirection

    (Symonsand others, 1980).

    The pedestaland ts box must be orientedwhile it is still

    attached o the outcrop.One way to do this is to imagine an

    arrow hrough he centerof the box into the outcrop.The ori-

    entationdata consistof the bearing of the arrow, the small

    deviation of the arrow above or below the horizontal, and the

    small clockwiseor counterclockwiseotation of the top of

    the box about the arrow.

    After the orientation information has been recorded,

    pedestaland its box are removed rom the outcrop.Exc

    material s trimmedaway,and he box is capped or trans

    to the aboratory. or sedimentwhich s only slightlycon

    idated,particularlycoarsesilt and very fine sand, t may

    desirableo use a resinor varnish o ensure hat the sam

    doesnot disaggregate uring ransport.f a resin or varnis

    used, t shouldbe checked o verify that it is non-magne

    Preservation/Transportation

    Some researchers elieve hat samplesshouldbe tra

    ported n specialmagnetically-shieldedontainerso pro

    them from strong magnetic fields. However, m

    researchers elieve that sampleswhich become remag

    tized through exposure o such fields probably would

    have given reliable paleomagnetic esults anyway. He

    they do not use thesecontainers.

    For unconsolidated ediment, more importantcon

    erationduring transport s that the sediments ot be allow

    to dry out becausehe dryingprocess an ead to remagn

    zation HenshawandMerrill, 1979). Keeping he sample

    an air-tightplasticcontainer, erhapswith a piece of da

    toweling, s usually sufficient or this purpose.

    Laboratory Analysis

    Preparation

    No additionalpreparations needed or samples oll

    ed in plasticboxes.For samples hat have been collecte

    coresdrilled in the field, it is necessaryo cut the cores

    2.5 cm long subsamples.Often these subsamples re ca

    specimens.

    Samplescollectedas orientedblocks are usually cas

    plaster n a way that preserveshe original horizontalor

    tation. Subsamples re obtainedby drilling vertically do

    with a diamond-coredrill bit mounted in a drill pr

    Various simple techniquesare used to transfer the no

    arrow on the block to the subsample.Like drilling in

    field, drilling in the lab requireswater coolingof the drill

    Sometimes he water causesdisaggregation f the sam

    When that happens,a rotary diamond saw, a band saw, o

    wire saw can be used to cut the oriented block into recta

    gular or cubic subsamples ithout the use of water.

    In certain circumstances, cores from lakes or mar

    environments ecomeavailable or paleomagnetic ampl

    Again, small plastic boxesare normally used o collect

    samples.n order o avoid problemsarising rom distor

    associated ith the coringprocedure, amples re taken r

    the interior of the core. As with unconsolidated mater

    sampled n outcrop,samples re usuallycollectedby carv

    pedestals f material and slippingplasticboxesover th

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    Unlessa corehasbeenazimuthallyoriented, he samples an

    only be orientedwith respect o an arbitraryplane through

    the long axis of the core. One technique or doing his is to

    secure he core n a horizontalpositionso that t can not roll

    and o stretcha string he lengthof the core.Again one mag-

    ines an arrow thougheach box. The orientation nformation

    consists f three small angles: the two that measure he devi-

    ations of the arrow from vertical planes perpendicular nd

    parallel to the axis of the core and the angle that measures

    the rotation of the side of the box with respect o the long

    axis of the core, as markedby the string.

    Recently a new technique has been developed that

    makes t possible o measurecontinuous amplesof sedi-

    ment cores Nagy andValet, 1993, Weeks and others,1993).

    The samples re collected n non-magnetic, lasticchannels

    which are 2 cm high, 2 cm wide, andup to 1.5 m long. These

    u-channelsamples re measuredwith a special ype of mag-

    netometer,and very few of these nstrumentsare currently

    available.However, he u-channel pproach as he potential

    of revolutionizing he way paleomagnetic tudiesare done

    over the next ten years.

    Analysis

    The mostbasic ype of paleomagnetic nalysis nvolves

    determination f the directionof magnetization f a sample

    with respect o a coordinatesystem ixed to the sample. n

    the case of samples n plastic boxes, he axes would corre-

    spond o the edgesof a box. For cylindricalsamples,he axes

    of the coordinate ystemwould correspondo the index ine

    on the side of the cylinder and two orthogonal ines on the

    end of the cylinder. Using simple geometricrelationships

    and the orientationangles, the measureddirection can be

    transformed o give the direction elative o a geographic r

    field coordinatesystem.A correctioncan also be made for

    the tilt of the bedding.

    The instrumentused to measure he magnetization s

    calleda magnetometer.wo typesof magnetometersre cur-

    rently used - the spinnerand the cryogenic.With a spinner

    magnetometer, he sample is placed in a sample holder

    mounted on a rotating shaft. In accordancewith Faraday's

    Law, the two components f the magnetization erpendicu-

    lar to the axis of rotationproduce voltage n a pick-upcoil.

    The amplitudeof the voltage s proportional o the combined

    intensityof the two components hile the phaseof the volt-

    age is proportional o the ratio of the intensityof each com-

    ponent.Different types of instruments se different detector

    circuits o measure he amplitudeand he phaseand o deter-

    mine the magnetization f eachcomponent.n order o mea-

    sure the third componentof the magnetization, he sample

    must be placed n the spinnermagnetometern a different

    orientation. n principle, he two separatemeasurementsuf-

    rice to measure he three componentsof magnetiza

    However, many laboratories se a three-spinor a six-s

    procedurewhich produceseither two or four indepen

    measurements f each component. f there are signific

    inhomogeneitiesn the sample, hey often showup as la

    variationsn the measurement f the samecomponent.f

    variations re small, he independentmeasurementsor e

    component an be averaged ogether.

    A cryogenicmagnetometer sessuperconductingo

    incorporatednto detectors nown as superconductingu

    tum interference devices or SQUIDs (Goree and Ful

    1976). n order o operate s superconductors,he oopsm

    be immersedn liquid helium.A sample s introducedn

    room temperature pace hat is surrounded y and herm

    insulated from the liquid helium. The current flow

    througha loop is influencedby the component f magn

    zation of the sampleperpendicularo the loop. Change

    this current are detectedby the SQUID. Each SQUID

    measureonly one componentof the magnetization.So

    cryogenicmagnetometers ave one axial and two transv

    SQUIDS so hat all threecomponents anbe measured t

    same time. Other cryogenicmagnetometers ave only

    transverseSQUID in addition o the axial one. These ns

    mentsrequire a 90ø rotation of the sample o measur

    threecomponents.s with the spinnermagnetometer,ed

    dantmeasurementsre used o check or inhomogeneiti

    the samples.

    Because cryogenic magnetometers re about four

    eight times more expensive han spinner magnetome

    smaller aboratoriesend have spinnermagnetometers h

    larger,better-establishedaboratories suallyhavecryog

    magnetometers. owever, he precision f the measurem

    from the two typesof instrumentss about he same,an

    fact, the principal limitation on the measurement f

    directionss the accuracyn determining he sampleorie

    tion, which is typically on the orderof 1-2ø The real dif

    encebetween he two typesof instrumentss the sensiti

    that is, cryogenicmagnetometers an measuresamples

    are one to two ordersof magnitudemore weakly magnet

    than spinnermagnetometersan measure.Recently,a co

    pany in the Czech Republichas startedmarketinga spin

    magnetometerwith a sensitivityapproachinghat of a cr

    genic magnetometer. everal companies re exploring

    possibility f developing QUIDS thatusehigh-temper

    superconductors, hich would make t possible o opera

    cryogenicmagnetometer ith liquidnitrogen ather han

    uid helium.

    The initial magnetization f a samplebrought nto

    laboratory s known as the naturalremanentmagnetiza

    (NRM). It representshe superposition f the original or p

    mary magnetizationwith all of the varioussecondarym

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    netizations hat the samplemight have acquired. n order to

    recover he primary magnetization,t is necessaryo remove

    the secondarymagnetization. n paleomagnetic tudies, he

    assumptions usually made that the most stable magnetic

    carriersretain the primary magnetizationand that the sec-

    ondary magnetization esideswith the less stablemagnetic

    carriers. Removal of the secondarycomponents s called

    demagnetization, nd n general, wo approaches re used.

    The first of these s alternating ield demagnetizationn

    which the sample s exposed o an alternatingmagnetic ield

    which beginsat somepeak value and decreases niformly to

    zero. In some instruments, he decreasing field can be

    applied only along one axis of the sample at a time. To

    achieve a complete demagnetizationat a given level, the

    samplemustbe placed n the demagnetizerhree imes, each

    time in a different orientation. With other instruments, a

    complexsetof gears s used o continuallychange he orien-

    tation of the sampleas it is exposed o the decreasing ield.

    This instrument, known as tumbler, requires only one

    demagnetization t each evel.

    The ability of a magneticcarrier to respond o an exter-

    nal magnetic ield is determinedby its coercive orce. The

    basic principle involved n alternating ield demagnetization

    is that all magnetic carrierswith a coercive orce less than

    that of the peak field value will initially respond to the

    applied field and will try to follow it. As the applied field

    decreases, he magnetic carriers with the higher coercive

    forces will no longer be able to follow the field, and their

    magneticdirectionswill become mmobilized. At the end of

    the demagnetization, he directionsof all of the magnetic

    carriers hat responded nitially will be distributed n differ-

    ent directions,and their net magnetizationwill be zero. In

    this way, the alternating ield demagnetization erases he

    contribution rom all of the magneticcarriers hat had coer-

    cive forces ess han the peak applied ield value.

    In practice,alternating ield demagnetizations a step-

    wise process n which the sample s exposed o peak alter-

    nating fields of increasingly higher value. In effect, the

    demagnetization rogressively estroyshe magnetizationof

    the sample,but the generalexpectations that the secondary

    magnetization s removed irst, leaving behind the primary

    magnetization.A typical sequencemight begin with a peak

    field of 5 millitesla (mT) and ncrease y 5 or 10 mT steps o

    a maximumof 60 or 80 mT. Betweeneachstep he direction

    of the remaining magnetization s measuredwith a magne-

    tometer.The resulting sequence f directionsshould eflect

    the preferential emovalof the secondarymagnetization, ol-

    lowed by removalof the primary magnetization.

    The other commonmethod of demagnetizations ther-

    mal demagnetization.Here the sample s first heated and

    then cooled in a near-zero magnetic field. This method is

    based on the fact that when a magnetic carrier is hea

    above its Curie temperature, t loses ts ability to carr

    magnetization. ust below the Curie temperature, he m

    netic carder can still becomemagnetized, ut the magn

    relaxation time is short and the magnetization quic

    becomes andomized.At a lower temperature nown as

    blocking emperature, he magnetic elaxation ime beco

    sufficiently ong that the magneticcarrier can hold its m

    netization or a geologicallysignificantperiod of time.

    When a magneticcarder is cooled o room tempera

    during hermal demagnetization,t acquiresa new magn

    zation determinedby the near-zeroambientmagnetic ie

    Thus, thermal demagnetization erases the contribut

    from all magnetic carriers that have Curie temperat

    lower than the maximum temperatureachieved n the h

    ing. In this case, he assumptions made that the secon

    magnetization esides n the carrierswith the lowest Cu

    temperatures,rather than those with the lowest coerc

    forces.

    Like alternating ield demagnetization,hermal dem

    netization s a step-wiseprocedure,beginning at 50øC

    increasingn stepswhich often becomemore closelyspa

    as the temperature ncreases. he procedureusually end

    700øC which is above he Curie temperatureof all comm

    magnetic minerals. The magnetizationof the sample

    measuredafter each heating step, and the interpretatio

    the changes n direction s similar to that usedwith alter

    ing field demagnetization.

    One problemwith thermal demagnetizations that h

    ing may lead to chemical alterationof the sample and

    changesn its magneticproperties.t is now considered

    practice o check for these changesby measuring he m

    netic susceptibilityof the samplesafter each heating s

    Magnetic susceptibility is an induced magnetiza

    acquired by samples n the presenceof a weak magn

    field. Magnetic susceptibility epends n the magneticm

    eralogy,and any significantchange n magneticsuscep

    ity indicates hat there has been chemical alterationof th

    minerals. Any data acquired after these changesbegin

    occur shouldbe regardedas suspect. roblemswith ther

    demagnetization re often encounteredn dealingwith s

    mentsor poorly-lithified sedimentary ocks.

    If a particular study results n the collection of a la

    number of samples, t is not unusual o begin with a p

    studyof a subsetof the samples.The goal of the pilot st

    is to characterizehe generalbehaviorof the samples n

    determinewhetheralternating ield or thermaldemagne

    tion is the more appropriate echnique.Each sample n

    pilot study is subjected o a complete alternating ield

    thermaldemagnetization. ependingon the numberof s

    pling horizonsand the number of samplesper horizon,

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    346 PALEOMAGNETIC DATING

    pilot studymight nvolveoneor two samplesrom eachhori-

    zon or from every hird, fifth or tenthhorizon. t is oftenuse-

    ful to compare he resultsof alternating ield and thermal

    demagnetization n samples rom the samehorizon.

    From the pilot study, t may be clear hat one methodof

    demagnetizations moreeffective han he other n removing

    the secondarymagnetization nd that all samples ehave n

    about the same way during the demagnetization rocess. f

    this is the case, it is acceptable o adopt an abbreviated

    demagnetizationrocedureor the remainingsamples.f the

    pilot studies howno consistent atternof behavior, t may

    be necessaryo subjectall of the samples o a full demagne-

    tization procedure.

    Archival

    The demagnetization rocesseads o the destruction f

    the original magnetization f a sample.Therefore,archiving

    of material is not a major issue n paleomagnetic tudies.

    Nevertheless, t sometimesbecomesappropriate o conduct

    additionalmineral magneticstudiesof samples, articularly

    on material that has not been heated. For this reason, it is

    considered oodpractice o keep paleomagnetic amples or

    severalyearsafter a studyhasbeen completed.

    Data Analysis

    Data Reduction

    As noted above, the orientation nformation gathered

    when a sample s collected s used o convertdirections n

    the laboratorycoordinatesystem o directions n the fi

    coordinate ystem. his procedure ields directions f m

    netization hat correspondo the actualgeographic nd g

    logic setting.Although he resultscan be analyzed n te

    of these directions, it is often more convenient to transfo

    the data into virtual geomagnetic oles (VGPs). For a g

    magnetic ield that is strictly dipolar, there is a one-to-

    correspondence etween the inclination and declina

    observed t a particularpoint on the surfaceof the Earth a

    the longitudeand latitude of the axis of the dipole that p

    duces he field. For example, he angulardistance p) of

    pole from the point of observations givenby:

    p = cot 1 (0.5 *tan I ) (

    where is the inclination.The pole itself is located his d

    tance along a great circle that passes hough the poin

    observation in the direction of the declination.

    Although he dea that the field is due o a dipolarsou

    is clearly not consistentwith the existenceof secularva

    tion, representation f data n terms of VGPs has prove

    be a very convenientmathematicaldevice. In particula

    providesa usefulway of comparingdirections rom site

    different ocations. or example,Figure 5 gives heVGP r

    resentation of the secular variation data from Paris

    Londonshown n Figure 4. When the focus s on the pol

    ty of the geomagnetic ield, VGPs are more effective h

    directions n showing hat there s a bimodal distributio

    the directions.

    90øW

    180 ø

    /75øN

    0 o

    180 ø

    1900

    i 6oo /

    ,,soo 3, /

    0 o

    Figure5. Stereographicrojection f virtualgeomagneticoles VGPs)correspondingo secular ariationn Parisand

    London or the past400 years after Thellier, 1981).

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    VEROSUB

    Assessment f Confidence

    In paleomagneticstudies the quality of the data is

    assessedy statistical ests,by field and aboratory ests,and

    by mineralmagnetic ests.Paleomagnetic irections re sel-

    dom analyzed as individual directions. nstead, they are

    treatedas statistical ssemblages.n assemblagemight con-

    sist of the primary directions rom all of the samples n a

    given horizon. The mean direction or the horizon is com-

    putedby giving each ndividualdirection he sameweight n

    the averaging rocess.n effect,eachdirection s treatedas a

    unit vector,and the meandirection s obtainedby summing

    the individual vectors.

    Although he mean direction s important, t is equally

    important o know whether he directionsare tightly clus-

    teredabout he meanor widely scattered. he quantities hat

    are used o measure he scatterare the precisionparameter

    (k) and he alpha-95 ot95). oth of thesequantities re based

    on a statistical model known as a Fisherian distribution. This

    distributions the analogon a sphereof a Gaussian istribu-

    tion on a line.

    The precisionparameter k) is a direct measureof the

    scatter and can be estimated from the formula:

    k = (N- 1)/(N-R) (5)

    whereN is the numberof samples ndR is the lengthof the

    resultantvector obtainedby adding the N unit vectors. f

    there s considerable catter,R will be relatively small, .e.,

    close o one or evenzero, so that k will be small.For tightly

    clustereddirections,R will approachN and the value of k

    will increasesignificantly.

    The (z95 epresentswice the standard rror of the mean

    and is expressedas a cone of confidence about the mean

    direction.Specifically, here s a 95 percentchance hat the

    truedirection or the assemblagealls within Z95 f themean

    direction. As a rule of thumb, two mean directions are con-

    sidereddistinct f their conesof confidence o not overlap

    and are not considered istinct f their conesoverlapsignifi-

    cantly. More precise ways of interpreting he amount of

    overlap are also available (McFadden and Lowes, 1981;

    Demarest, 1983).

    In many situationst is more convenient o perform the

    statistical nalysison the VGPs rather han on the directions.

    The calculations re similaralthoughhe analogof the (Z95

    for VGPs s designated s heA95.Groupsof meandirections

    or of meanVGPs can alsobe analyzed n termsof precision

    parameters nd conesof confidence. or example, t might

    be of interest to know the mean direction or mean VGP of all

    normal horizons n a particular nterval.

    Statistical estsare used o assesshe quality of the data

    that results rom the paleomagnetic nalysisof the samples.

    The purposeof field and laboratory estsof stability s to

    determinef samples cquired heir magnetization urin

    shortlyafter they were deposited s sedimentor consol

    ed as sedimentary ock (Verosub, 1977). The most comm

    typeof field test s the fold testwhichcanbe performed

    if samplescan be collected rom two limbs of a deforme

    foldedbed. After the appropriate emagnetization,he

    mary directionsof magnetization f the two limbs are co

    pared before and after a correction s made for the effect

    the folding. f the uncorrectedpost-folding) irection

    more tightly clustered, t indicates hat the deformedmat

    al acquiredts magnetization fter he folding. f the corr

    ed (pre-folding)directions re more ightly clustered,t in

    cates hat the magnetization redateshe folding.Two o

    typesof field testsare the conglomerateest which invo

    the directions f magnetization f clasts n a conglome

    and the baked contact test which involves the directions

    magnetizationof a lava flow and the baked and unbakeds

    imentbelow t. Both of these estshavenot yet foundap

    cation n paleoseismic tudies.

    The mostcommon ype of laboratory est s the reve

    test, which is only appropriate or studies hat involve co

    lation to the MPTS. The presence of both normal

    reverseddirections n a sedimentary equences usu

    taken as strong evidence that the sequencehas not b

    remagnetized.Furthermore, f the normal and reverseddir

    tions are fully antipodal, the demagnetization roces

    assumed o have been successfuln isolating he prim

    directionof magnetization.

    It is now considered ppropriateo includesomemin

    al magnetic tudies spart of everypaleomagneticnves

    tion. The purposeof these mineral magnetic studies,a

    known asrock magneticstudies,s to determine he natur

    the magneticgrains hat carry he paleomagneticignal.T

    characterization f these grains involves specificatio

    their mineralogy, articlesize and domainstate.Many d

    ferent echniques nd nstruments anbe used n this ende

    or, including severalnew ones that have been develo

    quite recently (King and Channell, 1991; Verosub a

    Roberts,1995). While a full discussion f the mineralm

    netic parameterss beyond he scopeof this paper,a few

    the most common ones are described below.

    One importantmineralmagneticparameters the m

    netic susceptibilitywhich, as noted above, is the indu

    (temporary)magnetization cquired y a sample n the pr

    ence of a weak magnetic ield. Magnetic susceptibili

    usually measuredwith an inductance ridge that produ

    weak alternating ields of high frequency.Magnetic sus

    tibility is directly proportional o the quantityof magn

    material n a sample.

    Anhysteretic emanentmagnetization ARM) and

    isothermal emanentmagnetization IRM) are two per

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    348 PALEOMAGNETIC DATING

    nentmagnetizationsroducedn the aboratory y exposing

    a sampleo an externalmagneticield. n the caseof ARM,

    the samples subjectedo a d.c.bias ield n thepresence f

    a decreasinglternating agneticield.Usually hebias ield

    is comparablen intensity o the Earth's magnetic ield.

    ARM is particularly ensitiveo smallgrainswhereasmag-

    netic susceptibility s more sensitive o larger grains.

    Therefore, he ratio of magneticsusceptibilityo the ARM

    susceptibilityanbe a usefulparameteror assessingaria-

    tions n the amountof fine versuscoarsemagneticgrains n

    geologicalmaterialsBanerjee nd others,1981;King and

    others, 1982).

    IRM is the magnetizationcquired y a sample hat s

    exposedo a (strong) .c. magneticield.As the ntensity f

    the field increases, he acquired magnetization ncreases

    until the samplebecomes s magnetized s its mineralogy

    and the laws of thermodynamics ermit. At this point, the

    magnetizationf the sample s said o be saturated.f this

    magnetizations measuredn theappliedield, t is called he

    saturationmagnetization.f this magnetizations measured

    after the applied ield is removed, t is called he saturation

    remanence.The saturation emanence s always lower than

    saturation agnetizationecause f thepartial ossof align-

    ment of grains hat occurswhen he field is removed. he

    saturation remanence is also called the saturation isothermal

    remanentmagnetization SIRM). If the applied field is

    cycledbetweenhigh valuesof both negativeand positive

    polarity, he magnetization f the sample ollows what is

    calleda hysteresisoop (Figure6). The point at which the

    appliednegative ield drives he magnetizationrom satura-

    tion back to zero is called the coercivity.The appliedback-

    field that drives he remanence f the sample rom saturation

    to zero is called the coercivityof remanence.

    Some magnetic minerals, such as magnetite and

    maghemite, aturaten applied ieldson theorderof 300 mT

    while other magnetic minerals, such as hematite and

    goethite, equire ields n excessof 2.5 T for saturationo

    occur. In most laboratories the maximum field that can be

    applied s on the order of 1-2 T. Thus, the presenceor

    absence of saturation at these values can be used to differen-

    tiate betweendifferent ypesof magneticcarriers.

    Interpretation

    Paleomagneticataareusually nterpreted t two evels.

    The first level focuseson the behaviorof individual samples

    during he demagnetizationrocess. he demagnetization

    dataareusuallypresentedn termsof vectorcomponent ia-

    grams,whichare alsoknownas Zijderveldplots,or simply

    asZ-plots.The Z-plot is an attempt o providea two-dimen-

    sionalrepresentation f the three-dimensionalehaviorof

    the magnetization. his is doneby superimposingwo dif-

    ferent graphs, sing wo differentsymbols Figure7). T

    first graphalwaysportrays he evolutionof the north-s

    component f the magnetization ersus he east-west o

    ponentof the magnetization.n effect, his s a graphof

    changesn declination uringdemagnetization.he sec

    graphportraysheevolution f theverticalcomponent f

    magnetization ersuseither the east-west omponent

    north-south omponent, r the totalhorizontal ompone

    the total horizontal omponents used, his s a graphof

    changesn inclinationduringdemagnetization.f the e

    westor north-south omponents used, his s a graphof p

    jection of the inclinationon the appropriate erticalpla

    The ordinateof the Z-plot represents oth the north-s

    componentof the first graph)and the verticalcompo

    (of the second raph).The abscissa f the Z-plot repres

    the east-west omponentof the first graph)and either

    north-south, ast-west, r total horizontalcomponent of

    second raph). t should e noted hat somepaleomagn

    restrict the use of the term Z-plot to graphs hat invo

    orthogonal ectorcomponents. ecausehe total horizo

    component oesnot satisfy his condition, ny graph

    included his componentwould not be considered Z-p

    by this definition.With practice, t becomes airy eas

    visualize the three-dimensional ehavior of the magnet

    tion by lookingat the Z-plot.

    One of the main usesof Z-plots s to determine t w

    level the secondary omponents f the magnetization

    Saturation

    Remanence

    Appliedield

    -0.1T -O. 5

    ½oercivity

    Saturation

    Magnetization

    Figure 6. Typicalhysteresis urve showing elationship etw

    saturationmagnetization, aturationemanence nd coercivity

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    VEROSUB

    Paleomagneticating

    E,N, ; . I IE,

    I I

    ...

    - |E.H

    Figure 7. Three typesof vectorcomponent iagrams or Z-plots). The closedsymbolsare plottedwith respect o the

    north-south xis and he east-west xis; he open symbols re plottedwith respect o the up-downaxis and to the north-

    south top left), east-west top right), or total horizontal bottom) axis. Some paleomagnetists ould classifyonly the

    two upper graphsas Z-plots or Zijderveld diagrams.

    been successfully emoved by the demagnetization roce-

    dure. Often this can be doneby inspectionof the Z-plot. In

    this case,at the initial demagnetizationevels, the direction

    of magnetizationwill change s he secondarymagnetization

    is preferentially emoved Figure 8). When only the primary

    direction remains, the magnetizationwill show little or no

    change n direction,and pointson both graphswill move in

    straight ines oward he origin.Thesestraight ine segments

    are often used o compute he primary directionof magneti-

    zation. In other cases, t may be harder o separate he pri-

    mary direction rom the secondary irection,and a sophisti-

    catedcurve-fitting outine mustbe used Kirschvink, 1980).

    Dependingon the natureof the study, he primary direc-

    tions are treatedas ndividual data pointsor, if there are sev-

    eral samples rom the same site or samplinghorizon, they

    may be combined o determinea meandirectionand associ-

    atedcz95.f the main nterest n the study s the patternof nor-

    mal and reversedpolarities, he resultsare usually plotted as

    a functionof stratigraphic osition Figure9). Although t is

    possible o plot suchdata n terms of their inclinations, he

    more commonparameter s the latitudeof the correspon

    VGP as determined rom Equation4. From sucha plot, i

    possible to determine the overall pattern of normal a

    reversedpolarity intervals.

    If the main interestof the study s the patternof sec

    variation, he directions re often presented n an orthog

    plot of declinationversus nclination,which is also calle

    Bauer plot (Figure 4). Alternatively, he directionsor th

    corresponding GPs are plotted on a stereographic ro

    tion (Figure 5). The correlationbetween he secularvaria

    features in the undated sequenceand those in the da

    sequence s usually done visually althoughcomputer

    tines which do this are now becomingavailable.

    APPLICATIONS TO SEISMIC HAZARDS

    Conventional

    As noted above, he primary applications f paleom

    netic dating o seismichazards nvolve correlationof the p

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    350 PALEOMAGNETIC DATING

    i i i

    N,V N,V

    E,H E,H

    Figure 8. Vector component iagramsshowing emovalof secondary omponents uring demagnetization. arge sym-

    bol is the initial direction.Primarycomponents f magnetization re normal left) andreversed right).

    tern of paleomagnetic irectionsof an undatedsedimentary

    sequence o either the Magnetic Polarity Time Scale or to a

    known curveof secular ariation. n the caseof polarity tran-

    sitions, he undatedpattern is called the magneticpolarity

    zonation, and the correspondence etween t and the MPTS

    is the magnetostratigraphicorrelation. f there is reason o

    believe that the rate of sedimentation has been uniform, it is

    possible o correlate he magnetic polarity zonation to the

    MPTS primarily by matching the pattern of the polarity

    intervals. However, a magnetic polarity zonation typically

    containsbetween ive and ten polarity zones,and f there are

    no other ime constraints n the undatedsequence,heremay

    be several possible correlations o the MPTS. Thus, it is

    important to have some prior estimate of the age of the

    sequence.Moreover, the assumption hat the rate of sedi-

    mentationhasbeenuniform may not be valid evenwhen the

    sediments re quite homogeneous.When there is consider-

    able lithologic variation, the assumption s almost certainly

    inappropriate.For these easons,magnetostratigraphicorre-

    lation usually requiresrelatively tight biostratigraphic on-

    trol or at least one well-dated horizon, for example, an

    interbedded ephra layer (Figure 10). The need for some

    prior chronostratigraphic ontrol may make the paleomag-

    netic datingappearunnecessary,owever, he magnetostrati-

    graphiccorrelationprovidesan age for eachpolarity bound-

    ary, and this usuallyresults n a much more refined chronol-

    ogy and mportant nformationabout atesof sedimentation.

    The entire procedure s simplifiedconsiderablyf there

    is reason o believe hat the top of the sedimentary equence

    representsmodem material. n that case, he uppermost or-

    tion of the sequence houldbe of normal polarity, and that

    polarity zone would correlatewith the Brunheschron. The

    correlationof the remainderof the magneticpolarity zona-

    • m Virtual Geomagnetic Pole

    7-. .-J Latitude

    ß

    e•CO90ø Oø ß

    2000- -- ß •

    - %1

    -

    950- --

    1900- •

    1850- ß • •

    - /

    -

    1800-•• • • J

    =

    1750- • , •• •

    1700- -- • • •

    Figure9. Determination f a polarityboundaryor a magnetic o

    ity zonation (from Ensley and Verosub, 1982). Arrows indi

    changesn latitudeof virtual geomagnetic olesduringdemag

    zation. Solid circles indicate final latitudes for the two or three s

    ples rom eachhorizon.Permissiono use his copyrightedmat

    is granted y ElsevierScience-NL,Amsterdam, he Netherland

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    VEROSUB

    MPZ

    MPTS MPTS

    MPZ

    2.60Ma •60Ma

    Figure 10. Correlationof a magneticpolarityzonation MPZ) to the MagneticPolarityTime Scale MPTS) usinga dated

    tephra ayer.

    tion can be done by simply counting down through the

    MPTS. This approachwas used n one of the few published

    accounts f the use of paleomagnetismo date faulted mate-

    rial (Davis and others, 1977). The study was done in con-

    junction with a site survey for a proposednuclear power

    plant nearBakersfield,California.The sitewasunderlainby

    over 150 meters of sediment, he top 90 meters of which

    were normallymagnetized.This normal zone was correlated

    to the Brunheschron, and that proved that unfaulted strata

    were at least 500,000 years old, the then-current riteria for

    a capable ault.

    The MPTS can evenbe used o obtainchronostratigraph-

    ic information bouta singlehorizon. n particular,f the hori-

    zon has a reversedpolarity, the horizon is almost certainly

    more than780,000 yearsold basedon the age of the last tran-

    sition rom reversed o normalpolarity.On the otherhand, f

    the polarity s normal,one can not tell if the sampleacquired

    its magnetization uring he presentBrunheschronor during

    an earlier normal one. For datingbasedon secularvariation,

    the well-established,well-dated sequenceof directions s

    called a master curve of secular variation. Because secular

    variationvarieson a regionalscale,differentmastercurvesare

    needed or different egions.For the purposes f this discus-

    sion,a region s an areaa few thousand ilometers cross. o

    cover he continental nited Stateswould requireat leastsix

    master curvesof secularvariation (northeast,southeast, orth

    central,southcentral,northwest, nd southwest). t the pre-

    sent time there are only two publishedmaster curves that

    cover the entire Holocene in North America. One of these is a

    composite ecord rom two lakes (Lake St. Croix and Kylen

    Lake) in Minnesota Lund and Banerjee, 1985); the othe

    from a single ake (FishLake) in Oregon Verosub ndoth

    1986). Becauseof this paucityof data, hese ecords en

    serve as the Holocene master curves for the central Unit

    States ndwesternUnited States, espectively.

    Both master curves are derived from what are cons

    ered second-generationaleomagnetic tudiesof lake co

    The hallmarks of these studies are the careful attention to

    coringprocess, he collectionof replicatecores o asses

    internalconsistency f the data, he detailed nvestigatio

    the magnetic carriers and the magnetization process

    availability of many high-quality radiocarbon dates,

    independent alidationbasedon palynology, ephra stu

    or historicaldata.For example, he Fish Lake study Vero

    and others, 1986) was basedon a suite of eleven cores fr

    five separateholes, distributedover an area of less than

    m2 on the lake bottom.Six distinct ephra ayersand num

    ous thin, distinctly colored bands were used to corre

    between he holes.Age control was basedon 18 radiocar

    dates from Fish Lake as well as 19 radiocarbon dates fr

    two nearby akeswhich contained he samesix tephra ay

    In addition,one of the tephra ayers was associatedwith

    6,800 year old eruption of Mr. Mazama that led to the f

    mation of Crater Lake, Oregon.Four hundredand fifty-f

    paleomagnetic ampleswere collectedwith doubleor tr

    overlap or all segments.Mineral magneticstudiesdem

    strated hat the magneticcarrier was relatively fine-grai

    magnetiteand that the magnetizationhad been acquireda

    shortly after depositionof the sediment.The data show

    very high degreeof serial correlationand excellent ag

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    352 PALEOMAGNETIC DATING

    mentbetweencorrespondingegments f overlapping ores.

    Verification of the composite ecord was achievedby

    comparingdirectionsat the Mazama tephrahorizon with

    measurementst CraterLake andby comparing he direction

    at a pollenchange ssociated ith European ettlement ith

    historical measurements f the mag-netic ield in Oregon.

    The final version of the Fish Lake master curves is shown in

    Figure 11. Similar procedures ere used n developinghe

    master curve for the central United States (Lund and

    Banerjee,1985).

    Dating of a sedimentary equence sing secularvaria-

    tion involves correlation of secular variation features in the

    undatedsequencewith thoseof a mastercurve.A primary

    constraint n this approachs that the undated equencemust

    represent nough ime and musthavea high enough ate of

    sedimentation hat secularvariation featurescan actually be

    resolved n the record. The lowest acceptable ate of sedi-

    mentation s about0.1 mm/yr but a rate closer o 1.0 mm/yr

    2000

    4000

    6000

    8000

    10,000

    30o 45o 60 75

    INCLINATION

    i i I

    3400 0ø 20

    DECLINATION

    Figure 11. Declination and inclination curve from Fish Lake,

    Oregon from Verosuband others, 1986). Dashed ines represent

    dated ephrahorizons.

    would be much better.The time interval that shouldbe r

    resented y the undated equence epends n the morph

    gy of the secular ariationcurvebut, n general,several

    dred o a thousand ears s probablynecessary. ecause

    turesof different age on the mastercurve may have sim

    morphologies, dditionalage constraints re alwaysus

    and, n somecases,mandatory. f secularvariation eatu

    of the undatedsequence anbe correlatedwith confidenc

    the master curve, the age of the sequence an usually

    determinedwith a resolutionof a few hundredyears w

    respect o the chronologyof the mastercurve. Individ

    horizons n the undatedsequence an oftenbe dated o a f

    tens of years.However, n all cases, he accuracy s limi

    by the accuracyof the datingof the mastercurve.

    Dating of a singlehorizonusingsecularvariation s a

    possibleunder favorablecircumstances. prerequisit

    doing his s that the horizonhave a well-definedpaleom

    netic direction. In addition, there must be sufficient n

    paleomagnetic ge constraintso localize the paleomagn

    direction o a single secularvariation oop. If the unda

    paleomagnetic irection alls in a region of the loop wh

    there are no ambiguities, a valid date can be obtai

    However, f the paleomagnetic irection alls off the lo

    overlapswith two portionsof the loop, or coincideswit

    crossingpoint in the loop, the method can not provid

    definitivedate (Figure 12).

    90øW

    180 ø

    + + 90O

    o

    Figure 12. Hypothetical esultof an attempt o date ndividualh

    zons using secularvariation.The curve s the record rom F

    Lake, Oregon, or the interval rom 8,000 to 6,000 yr B.P. rec

    The triangles epresentwo possible utcomes, nly one of wh

    yieldsan unambiguous ate.Shaded rea s the uncertainty ss

    ated with each measurement.

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    VEROSUB

    A related applicationof secularvariation o paleoseis-

    mic studiesnvolveshe question f whether wo deposition-

    al units are contemporaneous.his approachassumes hat

    the units were actually magnetized t the time they were

    deposited.f that is the caseand f the two units have similar

    paleomagnetic irections, here is a high probability hey

    theywere ormedcontemporaneously.ecause f the repet-

    itive natureof secular ariation urves, ontemporaneityan

    neverbe provenusingpaleomagnetism. n the otherhand, f

    the two units have distinctpaleomagnetic irections, t can

    be taken as strongevidence hat they formed at different

    times.

    Experimental

    Paleomagnetism as often been used to detect tectonic

    rotations n a regional cale. n these tudies,he meanpale-

    omagnetic eclinationor a geologicunit is comparedo the

    expected eclinaton or that unit. Any significantdifference

    is usuallyattributed o rotationabouta vertical axis (Horns

    and Verosub, 1995). This approachcan also be used on a

    local scale. For example, Salyards and others (1992)

    attempted o assesshe importanceof non-brittledeforma-

    tion at a site on the SanAndreas ault by looking or varia-

    tions n declination longsedimentary orizons hat crossed

    the fault at Pallett Creek. They provided evidence or as

    much as 40 ø of rotation, which implied that non-brittle

    deformation ad been ar more mportant han brittle defor-

    mation. Nagy and Sieh (1993) recently showed hat there

    might havebeenproblemswith samplingmethods sedby

    Salyardsand others 1992). Using conventional ampling

    techniques,in andothers 1991) showedhatpaleomagnet-

    ic declinationsor a site on the Imperial Fault were consis-

    tent with field observations of non-brittle deformation in the

    1940 earthquake here. More work is needed o determine

    the potential mportanceof this approach o paleoseismic

    studies.

    ADVANTAGES AND DISADVANTAGES

    If a site hat s the subject f a paleoseismictudycon-

    tains a continuously-depositedequence f relatively ine-

    grainedsedimentarymaterial,paleomagnetic atingbased

    on the MPTS can provide a rapid, inexpensivemeans of

    establishinghe broadchronologicalrameworkof the site.

    In addition, he procedureor collectinghe sampless rela-

    tively simple and because he main goal is to determine

    whether he samples re of normalor reversed olarity,high

    precisions not requiredn orienting he samples. owever,

    unless he youngestmaterial n the sequences known o be

    modem, he sequencemust epresent sufficient ime inter-

    val to encompasseveral olarity ntervals. n addition,some

    otherchronostratigraphicnformations usually equire

    order o make an unambiguousorrelation f the magn

    polarityzonation o the MPTS. Anotherdisadvantages

    the suitabilityof the material or paleomagnetictudy

    only be determinedn the laboratory.

    The situation ith respecto paleomagneticatingu

    secular ariation s more problematical. espite he eff

    described bove,questions ave be raisedaboutboth of

    existingmaster urves or NorthAmerica.For example

    master urve rom Lake St. Croix andKylen Lake should

    respondclosely to a record of Holocene secular varia

    from Elk Lake, also located in Minnesota (Sprowl

    Banerjee, 1989). The chronologyof that lake is based

    varve counting,and from all availableevidence, t too sho

    have been an excellent recorder of the magnetic fi

    Althoughhecorrespondenceetweenhe worecordss v

    good or the ast5,000 years, he earlierpartsof the recor

    not showgoodagreement nd are oftensignificantly ut

    phase. hereare alsomajordiscrepanciesetween he ma

    curve rom Lake St. Croix and Kylen Lake and a record

    was previouslyproposedas a master curve for the cen

    United States Creer and Tucholka,1982).

    The Fish Lake study showsgeneralagreementwit

    lower resolution record of secular variation obtained fr

    Holocene lava flows in the western United Sta

    (Champion, 980) andexcellent greement ith a high-

    olution record of secular variation obtained from archa

    logical features n the southwesternUnited States for

    time intervalA.D. 750-1450 (Steinberg, 983;Verosub

    Mehringer, 1984). Good correspondencean also be fou

    between features in the Fish Lake record and those in

    3,500-year-long record from Blue Lake in southwes

    Idaho HannaandVerosub, 988;1989).However,he se

    rate radiocarbon hronologiesrom the two lakesgive s

    nificantlydifferent ges or the same eatures,ndicating

    at leastone of the two chronologiess wrong.

    Thesedisagreementsnddiscrepanciesemonstrate

    therearesignificant roblemswith theradiocarbonatin

    lacustrine ediments nd that there may also be probl

    with the paleomagnetic ecordingprocessas well. Th

    problems epresentnherentuncertaintiesn the method,a

    they may explain why it is hard to find studies n which

    dating was basedon correlation o mastercurvesof sec

    variation obtained from lacustrine sediments. n fact,

    archaeologicalstudies n the American Southwest,wh

    secular variation dating has been successfully sed,

    master urve s usuallya local one, derived rom nea

    archaeologicalitesand spanning nly a few hundred e

    (Eighmyand Steinberg,1990). Two otherpublished xa

    ples of dating using secularvariation nvolve a ninetee

    centurykiln (Dunlop and Zinn, 1980) and a seventeent

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    354 PALEOMAGNETIC DATING

    eighteenth-centuryava flow (Symons,1974). In both cases

    the secularvariationcurve was extrapolated rom observato-

    ry measurements nd the uncertainty n the age determina-

    tion was about +_50 ears.

    Thus, despite he fact that secularvariation dating is

    often invoked n discussions f paleomagnetic pplications

    (Verosub,1988), in practice, t is not commonlyused,and ts

    ability to providehigh-resolution atesappears o be fairly

    limited.

    FUTURE DEVELOPMENTS

    Recently there has been considerableprogress n the

    developmentof a methodology or obtaining elative pale-

    ointensityvalues rom sediments Tauxe, 1993). In addition,

    there s growingevidence or globalcoherence f the relative

    paleointensity ignal. For example,Tric and others 1992)

    produced record rom the MediterraneanSea that extends

    back to 80 kyr. This record is in agreementwith, and has

    been calibratedagainst,paleointensitydata from lavas cov-

    ering the period 0 - 40 kyr. The recordalso showssignificant

    agreementwith earlier studies rom the westernequatorial

    Pacific (Tauxe and Valet, 1989). Meynadier and others

    (1992) extended he record back to 140 kyr in the Somali

    Basin, and confirmatoryevidence elated to this time inter-

    val has been providedby Schneider 1993) and Robertsand

    others (1994).

    The coherence f these ecordsmarks a significantstep

    toward the establishment f a credible paleointensity efer-

    ence curve for the last severalhundred housandyears and

    raises he possibility hat the relativepaleointensity ould be

    used for paleomagneticdating. The time scale or paleoin-

    tensity variations falls in the range between 10,000 and

    100,000 years which is intermediatebetween he resolution

    provided by secular variation features and by magne-

    tostratigraphy. he developmentof the u-channelsampling

    techniqueand the availability of continuousmeasurement

    magnetometers Nagy and Valet, 1993, Weeks and others,

    1993) make it feasible o considerusingrelative paleointen-

    sity measurements s a dating technique.

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