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  • 7/23/2019 Sushmita Chatterjee

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    Domestic Production, Domestic Consumption and Exports of Indian

    Tea: Examining the Interlinkages

    Sushmita Chatterjee

    11 Introduction

    Until recently, India has been the largest producer of tea in the world, accounting for 29% of world tea

    production in the nineties and 27.6% in the current decade. The country is also the largest consumer of

    tea, with the share of domestic consumption in allIndia tea production being 7!% during the eighties

    and nineties and "#.6"% during the current decade. $oweer, our teae&ports performance has been

    unimpressie, with growth rates in terms of e&port olumes turning negatie in the past and absolute

    olumes of e&ports fluctuating and stagnating around 2!! million 'gs. since many decades. (lthough

    this itself is not necessarily a cause of concern since this could be due to a change in the outputmi& and

    the e&port bas'et with the deelopment of the economy. $oweer, this does raise the )uestion as to

    why e&port olumes are stagnating. *ossible reasons can be high domestic demand +umar and -ittal,

    #99/ -isra, #990/ *ai, #99#/ -itra, #99#/ 1andopadhyay, #9"2, competition from other e&porters

    +3harma et al., #99/ umar and -ittal, #99/ *ai, #99#/ 4ass, #99!/ 1andopadhyay, #9"2/ 5osta,

    #96" or shift in the demand of foreign consumers +umar et al., 2!!". 3ince the reasons can emanate

    from both the supply and the demand side, we e&amine the interlin'ages between production,

    consumption and e&ports of tea and thus proide a methodology to estimate the e&ports function for

    Indian tea.

    -ost of the studies estimate teae&ports as a singlee)uation model with e&planatory ariables

    li'e relatie prices and world income +umar, 1adal, 3ingh and 3ingh, 2!!"/ utty, #999, 4utta, #96

    or club together both supply and demand side factors +umar and -ittal, #99/ umar and umar,

    #990/ -isra, #990/ 4ass, #99!. et others li'e Islam and 3ubramaniyan +#9"9, 1ond +#9"7 and

    oldstein and han +#97" specify both e&port supply and demand relationships separately for

    agricultural e&ports, primary commodity e&ports#and industrial e&ports respectiely. $oweer, the

    e&port supply specifications in Islam and 3ubramaniyan +#9"9 and 1ond +#9"7 are a bit simplistic in

    # In 1ond +#9"7, primary commodities include food, beerages and tobacco, agricultural raw

    materials, energy and minerals.

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    that the effect of the domestic factors on the supply of e&ports is captured using trend as a long run

    impact ariable and supply and demand shoc's as the short run impact ariables. 8hile it is o'ay to

    include such e&planatory ariables for e&amining the short and long run supply elasticities, it may not

    be ade)uate. In order to obsere the true impact of the supply side ariables on e&ports, we deelop an

    economic model for tea output, which is based on the short run haresting and the long run inestmentdecisions of a perennial crop producer, thereafter we put forth a consumption model based on a

    standard utility ma&imiation e&ercise for a consumer, and finally we introduce an e&ports model for

    tea, which is a ariant of Thirlwall:s e&ports model. 8e then estimate output, consumption and e&ports

    ;ointly using the seemingly unrelated regression e)uations +3U and #.0 elaborate the output, consumption and e&ports model for tea respectiely.

    3ection #. discusses the data and the methodology. 3ection #.6 discusses estimation results. 3ection

    #.7 concludes the paper.

    1! The "utput #odel

    Tea is a perennial crop and is characteried by both deelopment and productie phases. The

    deelopment phase is the one during which the producer has to underta'e certain inestments, also

    'nown as sun' costs. ?or instance, starting a new tea estate re)uires clearing and terracing the land,

    planting and nurturing the bushes, building access roads, and also constructing a factory nearby, all of

    which are part of the sun' cost which the producer has to underta'e before he can reap any output.

    @nce the bushes are planted, there is a gestation lag of fie to si& years, after which the bushes become

    productie and can yield output in four phases during the year, starting from -arch to Aoember +the

    first flush being harested between late ?ebruary to mid(pril, followed by a second flush harest

    between -ay and Bune, a rain flush during Buly and (ugust and finally an autumn flush harest

    between the months of 3eptember and Aoember2barring the dry winter months. The productie

    phase of the crop lasts as long as the crop yields output. $oweer, the bushes are considered economic

    between ! years of age, after which the productiity of the bush falls drastically.

    2 4uring the harest season, eery bush is pluc'ed at an interal of 07 days.

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    3ince tea production incurs a sun' cost, that itself creates a barrier to entry and e&it>, and

    therefore producers who inest in tea cannot shift to another crop in response to a short term change in

    the relatie price of tea. $oweer producers do respond to a change in the relatie price of tea by

    changing the yield of the crop in the mediumlong run by planting high yielding tea bushes,

    replacement of old or uneconomic bushes, infilling of the e&isting area under tea

    0

    etc. (lso, the shortrun measures would include adoption of improed cultural practices li'e manuring, intensie

    cultiation ia proper use of fertilisers and pesticides, timely pruning of tea bushes, as also the pluc'ing

    style adopted.Thus, with tea, shortrun acreage changes are not possible but yield changes are

    possible. 5hanging the acreage is not an easy option.6

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    typically, a structural model must be deeloped to highlight the inestment and haresting decisions of

    the perennial crop producer. $oweer, the final supply e)uation in 8ic'ens and reenfield +#97> is a

    function of past prices and lagged output which is the same as what can be obtained using the

    Aerloian approach.

    8e follow a intage production function approach similar to ('iyama and Triedi +#9"7 toe&plain a simple twofactor production function and then put forth a simple model of output which is

    guided by the different 'inds of decisions that a competitie tea producer needs to ma'e. 8e propose

    that a tea producer faces a intage production function

    ( )vtq ,where t refers to time and refers to tea

    bushes of a certain intage. Get

    ( )vtk ,denote Hcapital: which means homogenous land owned by the

    producer planted with tea bushes and( )vtl ,

    denotes all ariable inputs used in fi&ed proportion to

    capital in the production process. 8e assume that output is produced only by the matured intages 9and

    is homogenous. (ggregate tea output of the economy is gien by

    ( )tQand is defined as the summation

    of all indiidual output, i.e.

    ( ) ( )=i

    i vtqtQ ,

    +#

    where

    ( ) ( ) ( )[ ]vtlvtkfvtqi ,,,, = +2

    The yield per unit of capital or aerage productiity is gien by

    ( )( )

    ( ) ( )vtvtvtk

    vtq== ,

    ,

    ,

    , which

    implies that the productiity depends upon the age of the bushes, denoted by t-vand not upon the time

    when they are planted. This e&plains the gestation lag inoled between planting a bush and reaping its

    output.

    1efore we pose the producer:s problem, we may distinguish between e&tensions +meant for

    future new plantings, replantings, replacement plantings and uprootings +or remoals of intage

    9 -atured intages refer to tea bushes aged between ! years of age during which the bushes are

    considered economic.

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    capital in period t +denoted by

    ( ) ( ) +,, tRPtRtE and

    ( )tU respectiely. Extensionsmean e&tending

    further to e&isting land +for possible inestments in the future, replantings mean additions to the

    capital stoc' by planting new seedlings on currently uneconomic area under the same crop#! and

    replacement plantingsare new plantings on land which has been obtained by clearing forest area and

    burning trees. Uprootingor remoal is practiced when the productiity of the bush falls drastically and

    it becomes uneconomic for the producer to maintain the bush. Thus, the actual bearing acreage under

    tea, which is determined by the leels of

    ( )tRand

    ( )tRP

    ,is some fraction of the total acreage under tea

    at time t. The rest of the area is the nonbearing acreage which can be subsumed under the error term as

    follows.

    ttt uBAA += +>

    wheretA

    refers to the total acreage,tBA

    refers to the bearing acreage under tea andt

    refers to the

    nonbearing area which may include a part of the uprooted area that is not replanted.

    8e define the total feasible or potential output,

    P

    tQ

    by

    ( ) ( ),,, vtKvtQv

    P

    t =

    v

    . +0

    $oweer the actual output or

    ( )tQis to be distinguished from the potential output because in eery

    period, the producers: optimiation inoles the choice of a subset of mature intages which are

    economic and earn nonnegatie profits. This choice inoles choosing the leels of

    ( ) ( ) ( )tUtRPtRtE ,+,,and

    ( )vtL ,which are in turn ;ointly determined by e&pected future profitability

    and past inestment decisions. Thus, in the short run, producer decisions are guided by ariables which

    bring about a change in the yield of the crop. $oweer, in the long run, producer decisions are guided

    by ariables which bring about a change in the bearing acreage of the crop.

    #! enerally, Huprootings: or remoal of old tea bushes precedes replantings. 8hereas in case of1angladesh and 3ri Gan'a, data reeals how much area is uprooted and how much is replanted/ in

    India, information on uprootings and replantings are not separately aailable. Thus, one can only tell

    from the data on replantings that atleast as much or maybe a greater area is uprooted.

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    The actual output thus, is gien by

    >2

    #

    #

    itte

    t

    tt XBA

    P

    PQ

    =

    +

    wheretP

    is the current price of tea,

    e

    tP

    is the e&pected price of tea and

    e

    t

    t

    PP

    refers to the relatie price

    which guides the haresting decisions of the producer in the short run.#tBA

    is the actual bearing

    acreage at time t#, which reflects the past inestment decisions of the producer## anditX

    is a ector

    of ariables such as labour, price of inputs and yield ris'. Aow, e)n. + contains two unobserable

    ariables, i.

    e

    tP

    and#tBA

    , which we will estimate. To estimate

    e

    tP

    ,we ta'e a moing aerage of the

    auction prices preailing in the past fie years. Thus,

    I

    #

    =

    =i

    itt PP

    is used as a pro&y to represent

    e

    tP

    . Ae&t, to estimate#tBA

    ,we assume that the producers: desired acreage under tea is a function of the

    preious period:s total acreage, e&pected profit#2and the desired ad;ustments in the current period. The

    desired ad;ustments can be in the form of e&tensions, replantings, replacement plantings and remoals.

    8e may write this relationship as

    ## 8e use oneperiod lagged acreage to aoid the problem of simultaneity between current output and

    current acreage. Using lagged acreage as an instrumental ariable helps to deal with the same.

    #2 8e would hae used relatie e&pected profits if it were possible for the tea producer to shift in and out of tea production.

    (ll other crops that the producer may choose to produce along with tea are produced on a small scale for home consumptionand hence cannot be considered as substitutes for a tea producer. ?or instance, in erela, rubber, pepper, bananas, ginger,

    lemon grass, mangoes, ;ac'fruit, coconut etc. are grown along with tea because the latter does not re)uire labour all around

    the year and this enables the small growers to grow a part of the food that they consume. Thus, such crops cannot be treated

    as substitutes of tea from the producer:s point of iew. ?or a discussion, see 4wibedi $.A. D*roduction of Tea in IndiaE, *1agchi F 5ompany, 5alcutta.

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    ttttt

    e

    tt

    t URPREAA #60>2##! +++++++= +6

    8e may further hypothesie that the change in acreage between periods occurs in proportion to the

    difference between the desired acreage for the current period and the actual acreage in the preious

    period, i.e.

    ( ) tt

    ttt AAAA 2## += ,

    #! 60>2##! +++++++= +"

    wherettt 2#>6600>>22##!! //////#/ +======+==

    +9The reduced form area e)uation is a general model which can be modified according to country

    specific information. In the Indian case, we can omit the ariable U+t because part of the uprooted area

    is replanted +and is reflected in

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    it in lieu of e&pected profit or

    e

    t

    in +".#>

    ?urther, by regressingtA

    on the righthand side ariables in +", we obtain the estimated alue of the

    dependent ariable, i.e.tAIand use it as a pro&y for

    tBAfrom +.#0

    Therefore, we estimate the following model for teaoutput.

    #>#2#!I

    I +++

    += itt

    t

    tt XA

    P

    PQ

    +#>

    If the relatie price of tea rises, then it is lucratie for the producer to harest the crop and thus raise the

    current leel of output. @n the other hand, if there is a fall in the relatie price, then the producer would

    rather postpone his haresting decision to the ne&t period. Thus, in eery period, the producer forms

    new price e&pectations and compares the actual price with the e&pected price. 4epending upon whether

    there is a rise or fall in the relatie price, the outputresponse is positie or negatie respectiely. The

    second regressor is the oneperiod lagged bearing acreage +or#

    ItA

    under tea. ( rise in the bearing

    #> ?or estimating +#2, we need to specifyp,"and q. @n the basis of arious stationarity tests, we first choose "##$

    Ae&t,allowingpJK#,2L and qJK#, 2L, we estimate a ariety of models and choose the best combination +p%q by considering theinertibility criterion, the significance of the (

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    acreage will hae a positie impact on current as well as future output of tea, thus implying that output

    is positiely related to acreage.

    The other regressors which hae an influence on output are denoted by the ectoritX

    in our

    model and include labour, price of inputs and yield ris'. The most significant input in tea production is

    labour. Gabour is re)uired for a ariety of fieldtas's all throughout the year and is essential to raise the

    current and future output from tea. @utput is thus positiely related to labour. #*rice of inputs is

    another crucial ariable affecting tea output. 3ince tea cultiation is labour intensie with hardly any

    usage of other inputs such as diesel and electricity, we simply use the absolute price of fertilisers to

    represent the price of inputs. 8e define this ariable as the aerage allIndia price of urea, 4(* +di

    ammonium phosphate and -@*#6+muriate of potash. $igher the price of fertilisers, higher is the cost

    of production and lower the response of output. *roducers would try to substitute cheaper inputs for

    relatiely e&pensie ones but beyond a point, production might be hampered. 8e thus e&pect a negatie

    relationship between price of inputs and output. ( third ariable in the list of other regressors is yield

    ris'. *art of the ariations in yield which are beyond the producer:s control can be due to a ariation in

    rainfall from its long run aerage. 8e capture the yield ris' due to abnormal rainfall by ta'ing the

    coefficient of ariation of the deiation in rainfall from its long run aerage oer three preious

    periods, where the long run aerage is computed as the aerage rainfall of the last >! years.#7 The

    higher the yield ris', the smaller is the output produced.

    1$ The Consumption #odel

    # Gabour is re)uired intensiely for fertilising, pruning and haresting +or pluc'ing. ?ertiliser

    application is a manual operation wherein the more productie fields re)uire additional roundsinoling more labour. *runing is important to maintain the tea bush in the right form and height for

    growing and pluc'ing. It also inoles remoal of dead or decayed branches so as to ensure a clean and

    healthy plant. Unli'e other field actiities, pruning is mostly done by men wor'ers. 3ome actiitiesli'e weeding earlier re)uired intensie use of labour but with introduction of chemical weeding, the

    wor'force inoled in this actiity has shrun' oer time. (s regards pluc'ing, in some areas,

    mechaniation is being tested in the form of shear haresters, but the results do not compare )uality

    wise with hand pluc'ing. @ther actiities such as new plantings, infilling, and especially replantingwhich inoles uprooting old bushes, rehabilitation of soil, planting tea bushes and maintenance of

    young bushes are oerwhelmingly labour intensie.

    #6 -@* or muriate of potash is potassium chloride, which is used as a fertiliser.

    #7 8e first compute the deiations in rainfall from the long period aerage rainfall for three preiousperiods. Get the deiations be denoted by where is the actual rainfall in year t and is the long period

    aerage rainfall in year t +i.e. the aerage of preious >! years. 8e measure the yield ris' or the

    coefficient of ariation as the standard deiation of diided by the mean of.

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    8e derie the consumption function for tea by resorting to a standard utility ma&imisation e&ercise for

    a typical consumer who consumes n goods. The first order conditions obtained from such an e&ercise

    can be soled to get a system of n-arshallian demand e)uations in terms of income and prices as

    follows.

    ( )p&ccii ,=

    +#0

    (ssuming that indiidual consumption for a particular good can be summed oer the entire population

    +let us say population sie is m to get the aggregate consumption for that good, we can write the

    aggregate consumption of tea as

    ( )=

    =m

    '

    ' p&c(#

    ,

    +#

    where&is domestic per capita income andprefers to a ector of prices which can include the ownprice of tea, price of its substitutes and price of its complements. 8e too' coffee as a substitute

    commodity, and mil' and sugar as the two complements of tea. ?urther, to obsere the impact of Htastes

    and preferences: of consumers on consumption of tea, we include a trend ariable in the consumption

    function +e). #6.#"Thedemand model for tea is thus gien by

    2620#>2#! +++++++= )ren"&PPPP( ((so +#6

    where

    oP

    is own price of tea,

    sP

    is the price of substitutes of tea,

    #(P

    is the price of sugar,

    2(P

    is the

    price of mil' and)ren"

    is the trend ariable, which ta'es a alue of # for #97!7#, 2 for #97#72 and

    so on. 5onsumption of tea is negatiely related to its own price and the price of its complements, and

    positiely related to price of its substitutes and income. The impact of the trend ariable is an empirical

    issue, depending upon whether the changing tastes and preferences of consumers hae had a positie or

    negatie impact on consumption of tea.

    1% The Exports #odel

    #"

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    Using a ariant of Thirlwall:s e&ports function +Thirlwall 2!!>, #979,#9 we propose the following

    e&ports function for tea.

    ( ) ( ) ( ) ( ) 0>2# *+,&PPX -=

    +#7

    where

    Xis e&ports of tea,

    -P

    is the international price relatie which is defined as the Indian tea e&port price relatie to

    the foreign price of tea in the competing tea e&porting countries/

    P

    is the domestic price relatie, defined as the ratio of

    the e&port price and the domestic price of Indian tea/ I- is income of all those countries which import tea from India, and

    M is the e&change rate olatility. The period of late #9"!s +early #9" onwards is mar'ed by the gradual collapse of the

    3oiet Union or the U33< into independent nations. 2#!

    . ++++++++==

    *ars,U..R,.*+,&PPXiitt-

    +#"

    #9Thirlwall:s e&port function is based upon his 1alanceofpaymentsconstrained growth +1*5 model +Thirlwall 2!!>/Thirlwall #979. The 1*5 model, which has been applied e&tensiely in the conte&t of the deeloped and the deeloping

    world,

    2!

    2#

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    wheret,.

    is the dummy for disintegration of the U.3.3.

    The third regressor, i.e. per capita income of the tea importing countries +

    t+,&

    is

    e&pected to affect the demand for Indian tea e&ports positiely. To capture this ariable, we use a

    weighted aerage of the real per capita 4* of all those countries which import tea from India, with

    the weights being the share of each country:s per capita 4* in the sum total per capita 4*.

    The impact of e&change rate olatility on e&ports is largely an empirical issue. 3ince e&change rate is

    agreed upon at the time of the trade contract, and payments are made in future when the actual deliery

    ta'es place, there is an uncertainty associated with the profits to be made, which may lead ris'aerse

    traders to indulge in less foreign trade. @n the other hand, some traders can anticipate moements in

    the e&change rate based upon their 'nowledge and past e&perience in trade. 3o, if they hae better

    'nowledge than the aerage mar'et participant, then they can ma'e profits which might offset the ris'

    22

    2>

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    due to e&change rate olatility +1ailey and Talas, #9""/ Talas and 3wamy, #997. 20 8e represent

    e&change rate olatility for a year +t by ta'ing the coefficient of ariation of the real effectie

    e&change rate +tR

    differentials from the trend +tRI

    oer the current and last two years +i.e. t2, t#, t,

    where the trend is first estimated for the entire period.2 1& The Data Set and #ethodolog'

    Mariables of the output, consumption and e&port function are e&pressed in natural logarithms.

    =stimation is conducted at the allIndia leel for the period #97!C7# to 2!!2!!6. 4ata on all the

    ariables has been accessed from the Tea 1oard of India and online databases of arious

    organiations.26?or price ariables appearing in the output function, we hae used wholesale or auction

    prices whereas for those appearing in the consumption function, we hae used retail prices as far as

    possible. 3ince it was difficult to procure retail prices of complement products such as mil' and sugar,

    we hae instead used the wholesale price indices to represent these ariables. 4omestic per capita

    income is represented by the per capita net national product at constant prices. To represent

    actual profit, we simply deducted the total wage bill from reenue.27 The means, standard

    deiations and units of the ariables +untransformed to be used in the analysis are reported in Table

    #.#. Ta(le 11

    -eans and 3tandard 4eiations of Mariables, #97!C7# P 2!!C!6

    Mariable +Units -ean 3tandard 4eiation

    Q +million 'ilograms 679.#6 #0".!2

    ( +million 'ilograms 069.20 #62.!Mariable +Units -ean 3tandard 4eiation

    X +million 'ilograms #9".7 #7.0"2

    t

    t

    P

    P

    I+ratio

    #.22 !.2#

    #ItA +estimated alue of log +area

    from e)uation +#7

    !.!# !.!#

    20

    2

    26

    27

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    tL

    +number966"0".7 #66979."

    t-ER)PR +2

    !

    #!

    >!

    2"

    29

    >!

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    +#9where

    =X

    (

    Q

    +

    ,

    =

    xmxx

    clcc

    qkqq

    xxx

    xxx

    xxx

    X

    ..#

    ..#

    ..#

    2#

    2#

    2#

    ,

    =

    #

    #

    #

    #

    xt

    ct

    qt

    t

    u

    u

    u

    u

    ,

    =

    >

    2

    #

    t

    ,

    is the firstdifference

    operator andt is the ector of disturbance terms from the three e)uations.

    #! ,and

    2are the

    parameter ectors. In other words,+

    is the ector of dependent ariables,X

    is the ector of

    e&planatory ariables of the three e)uations, and#t

    u

    is the ector of lagged error terms obtained from

    the @G3 estimates of the three e)uations. The appropriate lag length for the e&planatory ariables of the

    =5-s is chosen by loo'ing at the residuals from each e)uation. ( lag length of ero indicates the

    eidence of no serial correlation at conentional leels of significance and the Bar)ue1era +B1 statistic

    is also insignificant, which means that the residuals are normally distributed. >#The 4oladoBen'inson

    3osilla2reeals that log +Q, log+(, and log ++,& are integrated of order 2/ log + #ItA ,

    log +L, log +

    /

    tP

    and log +* are integrated of order !/ all other ariables are integrated of order #. >>

    8e thus first difference I +2 ariables once and then estimate the errorcorrection model.>0

    1) Estimation *esults

    The estimation results of our 3U. The hypothesis that the U33#

    >2

    >>

    >0

    >

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    highly responsie to the international price relatie and income ++,& in both periods but remained

    responsie to the domestic price relatie only in the postU33< period. Get us e&amine the regression

    results in detail.

    1)1 Output Response

    @utput is positiely and significantly related to bearing acreage and the relatie error of price

    e&pectation, with 9% confidence interals of +!.26, #.77 and +!.!0, !.#2 respectiely. The estimates

    show that a #% increase in the bearing acreage would increase output by #.!2 % +significant at the #%

    leel whereas a #% increase in the relatie error of price e&pectation would increase output by !.# %

    +significant at the # % leel. ?ertilier price is found to be statistically significant, with the

    corresponding coefficient being !.!> +significant at the % leel and a 9% confidence interal of +

    !.!0, !.!! which lies close to !. ?urther, output is found to be unresponsie to labour. >6Gagged output

    is positiely and significantly related to current output with a coefficient alue of !.07 and 9%

    confidence interal of +!.2>, !.72. ?inally, the error correction term is found to be negatie significant

    +#.9 with a large confidence interal +9% confidence interal being +2.!2,#.#6, which implies

    that a long run e)uilibrium relationship e&ists between the ariables of the output function. The

    standardied beta coefficients + of the relatie error of price e&pectation and lagged

    bearing acreage are almost e)ual in magnitude +J!.>> and !.> respectiely, thus implying that the

    shortrun haresting decisions and the longrun inestment decisions are both e)ually important in the

    determination of tea output. ?urther, the coefficient of lagged output is also e)ual to !.07 which means

    that persistent effect is also high, or in other words, last period:s output is an important determinant ofcurrent output. @ur output model thus highlights the importance of the shortrun and the longrun

    decisions of a tea producer and in that sense, scores oer the published literature on perennial crop

    output models +.>7

    1)! Consumption Response

    The estimates of the consumption function reeal that consumption of tea is responsie to its own

    price, domestic percapita income, price of sugar and the trend ariable. (lthough the estimates are

    e&tremely small in alue +own price elasticity of demand J !.!!7/ income elasticity of demand J !.!0,

    cross price elasticity J !.!!" and trend coefficient J !.!!!!79, they are statistically significant.

    $oweer, the 9% confidence interals for the aboe estimates are +!.!#, !.!!, +!.!!, !.!6, +!.!#,

    >6

    >7

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    !.!! and +!.!!, !.!! respectiely.>" (n argument in faour of the small elasticity coefficients is that

    bul' of the demand is already being met by the domestic mar'et, and hence further changes in income

    or prices do not eo'e much response in domestic consumption. @neperiod lagged change in

    consumption is found to be statistically insignificant. The error correction term is negatie significant +

    !. at conentional leels of significance with a 9% confidence interal of +!.#2, !.06 which islarge. The standardied beta coefficients indicate that income is the most important ariable in

    determining consumption, followed by price of sugar and the trend ariable. The ownprice of tea is the

    ariable of least importance in determining consumption of tea. The related literature reports ery high

    income elasticities>9and ery low +and een insignificant in some studies price elasticities 0! +3ingh,

    #99#/ -isra, #99!/ 5osta, #96". Gow price elasticity, which is a common finding in this study and in

    other studies, indicates that price does not play a ery significant role in determining consumption of

    tea. Unless suitable measures are ta'en, such as creating awareness amongst consumers regarding the

    health benefits of tea or inenting newer products li'e flaouredCspecialty teas0# and conenient

    products li'e instant teas for the domestic mar'et, the tea industry would increasingly lose out to other

    competing beerages. This is also eident from the trend ariable, which captures the aderse impact

    on consumption due to a change in the tastes of consumers oer time. 02

    1)$Exports Response

    In the postU33< period, a #% rise in the international price relatie leads to a !.7% fall in e&ports.

    The coefficient is statistically significant at the #% leel with a 9% confidence interal of +!."9,

    !.26, which is )uite large +Table #.2. This implies that a rise in the price of Indian tea isiscompeting countries: tea price will ma'e Indian tea comparatiely less competitie thus leading to a

    fall in demand for Indian tea e&ports.0>5ontrary to the negatie coefficient obtained in the postU339

    0!

    0#

    02

    0>

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    upon faourable terms of trade between the two, een with a rise in the international price relatie

    +which made Indian tea comparatiely less competitie, India was assured a certain leel of e&ports

    and so, oerall tea e&ports did not fall. $oweer, after the disintegration of U337. The 9% confidence interal for the

    estimate is +!.!6, !.6", which is )uite large. The positie sign of the domestic price relatie indicates

    that greater is the margin between the e&port price and the domestic price of tea, greater is the incentie

    to e&port.0 *er capita income of the tea importing countries + +,& is found to be

    negatie significant in the postU33< period and positie significant in the U33< period with

    corresponding elasticities being 2.#2 and #.76 respectiely. The estimates hae large confidence

    interals +9% confidence interals are +>.>0 and !."9 and +!.07, >.! respectiely in the post

    U33< and the U33< period. 8hereas 8ere, Adung:u, eda and aringi +2!!2 reeal an

    insignificant coefficient for income in the estimation of enyan coffee e&ports, and a negatie

    significant coefficient of the same in case of tea/06income elasticity of tea e&ports is positie significant

    +J!.> in 4utta +#96 and +J!.70 in umar and umar +#990, gien that both studies coer only up

    till the U33< period. Thus our income elasticity estimates are comparatiely much higher.07 (n

    argument in faour of the negatie coefficient of income in the postU33< period is that a rise in the

    income of tea importing countries was perhaps associated with a shift towards better )uality teas

    e&ported by other competing countries or towards other beerages. =&change rate olatility +*

    has been found to be negatie significant in the postU33< period and positie significant in the U33

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    positie coefficient +J!.0> and has a significant leel effect on e&ports +statistically significant at the

    #% leel. The 9% confidence interal of +!.#9, !.67 is also )uite large. This means that the U33 of the second dummy ariable +t,.

    , which isstatistically significant at the #% leel with a 9% confidence interal of +!.2!, !.!. Thus, U33

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    Mariable

    AoteQ The

    ariables are

    @utput +R,

    5onsumption+5, =&ports +S,

    >

    +!.!2#

    t-ER)PR !.!26OO

    +!.!##

    #tQ !.077OOO

    +!.#20

    #ctu !.0OOO

    +!.#00

    /

    tP !.!!7O

    +!.!!0

    #(

    tP !.!!"OO

    +!.!!0

    t&

    !.!0OOO

    +!.!#

    t)RE0 !.!!!!79O

    +0.9#=!

    #t( !.#7

    +!.##

    #xtu !.9OOO

    +!.2!#-

    tP !.7OOO

    +!.#6!

    tP !.>7#OO

    +!.#"

    t+,& 2.#2OOO

    +!.62

    t* !.!02OOO

    +!.!#7

    Mariable @utput 5onsumption =&ports

    #tX !.!99

    +!.#20

    tU..R !.0>0OOO

    +!.#22-

    tP

    OtU..R

    !.07#OOO

    +!.#7

    tP

    O tU..R

    !.22>

    +!.#7"

    t+,&

    O tU..R

    #.760OOO

    +!.69

    t*

    O tU..R

    !.!"OOO

    +!.!20

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    U33< + t,.

    , and the lagged error correction terms +

    #qtu

    ,#ctu

    and#xtu

    . (ll ariables, e&cept the dummies are innatural logs. 3tandard errors are reported in parentheses below corresponding coefficient estimates.

    OOO, OO and O indicate significance at the #%, %, and #!% leels, respectiely.

    Ta(le 1$: Standardi-ed .eta/Coefficient Estimates of Seemingl' +nrelated *egression Euations

    #odel: "utput, Consumption and Export euations

    Mariable @utput +R 5onsumption +5 =&ports +S

    #qtu!.9!2OOO

    +!.2#"

    t

    t

    P

    PI

    !.>>6OOO

    +!.!22

    #ItA

    !.>!OOO

    +!.>"0

    tL!.#76

    +!.!2#

    t-ER)PR !.2!"OO

    +!.!##

    #tQ !.077OOO

    +!.#20

    #ctu !.0OOO

    +!.#00

    /

    tP !.2>>O

    +!.!!0

    #(

    tP !.29>OO

    +!.!!0

    t& !. 0OOO

    +!.!#

    t)RE0 !.279O

    +0.9#=!

    #t(!.#7

    +!.##

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    #xtu!.07OOO

    +!.2!#

    -

    tP

    #.!#OOO

    +!.#6!

    Mariable @utput +R 5onsumption +5 =&ports +S

    tP !.OO

    +!.#"

    t+,& !.9"9OOO

    +!.62

    t* !.090OOO

    +!.!#7

    #tX !.!99

    +!.#20

    tU..R >.7>OOO

    +!.#22-

    tP

    OtU..R

    !.76#OOO

    +!.#7

    tP

    O tU..R

    !.29>

    +!.#7"

    t+,&

    O tU..R

    !.760OOO

    +!.69

    t*

    O tU..R

    >.72OOO

    +!.!20

    t,. !.>#OOO

    +!.!>"

    5onstant!.0

    +!.29>

    !.!!!2

    +!.!!#

    !.2!6OOO

    +!.!">

    8ald

    2

    +

    !+ =tcoefficienslope

    +palue

    ".#2

    +!.!!

    >!.2#

    +!.!!

    ".#

    +!.!!

    palue + tU..R

    and

    interactionsJ!

    !.!!

    palue + interactionsJ! !.!!

    AoteQ The ariables are same as in Table #.2.

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    OOO, OO and O indicate significance at the #%, %, and #!% leels, respectiely.

    10 Concluding note

    This paper focused on the interlin'ages between production, consumption and e&ports of tea in India

    and thereby proided a sound methodology to estimate the e&ports function for Indian tea. The

    published literature on tea e&ports does not consider the mutual interdependence between production,

    consumption and e&ports of tea, thereby leading to improper theoretical models and untenable

    empirical results. In the light of these studies, we use the 3U

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    after, was a difficult one, because with the disintegration of the U33

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    U33< period dummy. @n the contrary, the results obtained from the simultaneous e)uations model can

    be substantiated by economic theory. Thus, the fact that the 3U

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    60

    80

    100

    120

    140

    160

    180

    20 40 60 80 100 120 140 160

    CO

    P

    C

    Y

    (# 1 Gagrange multiplier test of serial correlationQ =5- +=)uation +#9

    (u&iliary =)uation

    +4ependent Mariable

    2+ Rpn 5ritical 5hi3)uare +%

    qtI !.>0 >."0#

    ctI 2.#"0 >."0#

    xtI !.#7# >."0#

    InferenceQ 3ince the computed chis)uared statistic is less than the tabulated alue at the chosen leel of significance, we

    cannot re;ect the null hypothesis of no serial correlation.

    (2 Bar)ue1era 3tatistic for the residuals of the =5-s +=)uation +#9

    >>

    5onsumption e)n. #.99 !.>6"

    =&ports =)n. !.76 !.709

    InferenceQ

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    ?igure 2

    -0.2

    0.0

    0.2

    0.4

    0.6

    70 75 80 85 90 95 00 05

    Rel. Error of Price Expectation

    13.5

    13.6

    13.7

    13.8

    13.9

    14.0

    14.1

    70 75 80 85 90 95 00 05

    a!o"r

    -0.01

    0.00

    0.01

    0.02

    0.03

    0.04

    70 75 80 85 90 95 00 05

    #earin$ %crea$e

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    ?igure 2 +contd.

    -1

    0

    1

    2

    3

    70 75 80 85 90 95 00 05

    &ertili'er Price

    -3.6

    -3.2

    -2.8

    -2.4

    -2.0

    -1.6

    70 75 80 85 90 95 00 05

    Yiel( Ri')

    -0.3

    -0.2

    -0.1

    0.0

    0.1

    0.2

    0.3

    70 75 80 85 90 95 00 05

    O*n Price of +ea

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    ?igure 2 +contd.

  • 7/23/2019 Sushmita Chatterjee

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    -0.2

    0.0

    0.2

    0.4

    0.6

    0.8

    70 75 80 85 90 95 00 05

    Price of ,"!'tit"te' coffee

    2.5

    3.0

    3.5

    4.0

    4.5

    5.0

    5.5

    70 75 80 85 90 95 00 05

    Price of Co/ple/ent' ,"$ar

    2.5

    3.0

    3.5

    4.0

    4.5

    5.0

    5.5

    70 75 80 85 90 95 00 05

    Price of Co/ple/ent' il)

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    ?igure 2 +contd.

    4.0

    4.2

    4.4

    4.6

    4.8

    5.0

    5.2

    70 75 80 85 90 95 00 05

    o/e'tic Per cap. nco/e

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    70 75 80 85 90 95 00 05

    nternational Price Relatie

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    70 75 80 85 90 95 00 05

    o/e'tic Price Relatie

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    ?igure 2 +contd.

    9.8

    10.0

    10.2

    10.4

    10.6

    70 75 80 85 90 95 00 05

    pc of +ea /portin$ Co"ntrie'

    -7.0

    -6.5

    -6.0

    -5.5

    -5.0

    -4.5

    -4.0

    -3.5

    70 75 80 85 90 95 00 05

    Excan$e Rate olatilit

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    ellner (. H=stimators for 3eemingly Unrelated