EVALUATING THE SOCIAL GAINS ASSOCIATED WITH TECHNOLOGICAL PROGRESS IN THE BRAZILIAN AGRICULTURE

Size: px
Start display at page:

Download "EVALUATING THE SOCIAL GAINS ASSOCIATED WITH TECHNOLOGICAL PROGRESS IN THE BRAZILIAN AGRICULTURE"

Transcription

1 1 EVALUATING THE SOCIAL GAINS ASSOCIATED WITH TECHNOLOGICAL PROGRESS IN THE BRAZILIAN AGRICULTURE Joaqum Bento de Souza Ferrera Flho 1 1 Introdução The share of agrculture n the Brazlan exports started to rse agan from 1994 on, after fallng consstently snce the mddle of the seventes. The rate of growth of agrcultural GDP has also been ncreasng at rates hgher than the natonal GDP, partcularly snce the end of the nnetes. Ths dynamsm of the Brazlan agrculture has as specal feature the change n the pattern of geographcal concentraton, wth new regons beng ncorporated to the process at fast rates. Ths change s accompaned by an ntense process of technologcal change, wth strong ncrease n the total factor productvty (TFP). The agrcultural sector s a key sector n the Brazlan economy n many dfferent aspects. Wth strong forward and backward lnkages, agrcultural GDP accounted for 10.3% of total Brazlan GDP n 2003 (IBGE, 2004), and rural populaton stll accounted for about 19% of total populaton n It s just natural, then, that those changes n the agrcultural sector have mportant mpacts n the economy as a whole. Due to ts partcular characterstcs, both n the labor market and as a food suppler, these mpacts are of complex nature, wth net results dependng n a great deal of the structural characterstcs of the economy. The analyss of the broad effects of technologcal change n agrculture s the goals of ths study. 2 Objectve The objectve of ths paper s to assess the effects of the technologcal progress n the Brazlan agrculture, both on the agrcultural sector and n the broad economy, usng a general equlbrum model of Brazl projected for poverty and dstrbutonal analyss. Of partcular nterest wll be the socal gans and the ncome dstrbuton effects assocated wth the process. 1 Professor, Escola Superor de Agrcultura Luz de Queroz, Unversdade de São Paulo. Emal: jbsferre@esalq.usp.br

2 2 3 Technologcal change and growth: the general equlbrum approach As notced by Frsvold (1997) the general equlbrum approach to the technologcal change process dffers from the tradtonal approaches of returns to nvestment n research that are focused, n general, n only one product, and n partal equlbrum. Accordng to that author, the set of hypothess used by those studes are restrctve n many aspects. In frst place, they assume that prces and producton of all other sectors are fxed. For example, t s assumed that the changes n the producton costs of corn won t affect the prces of wheat of chcken meats. Ths knd of hypothess, however, can be too strong for technologcal progress phenomena broad enough to affect other productve actvtes at the same tme. Ths s the case, for example, of a new knd of fertlzer or pestcde, whch wll affect smultaneously the productvty of many other agrcultural actvtes. When just one sector s analyzed, typcally only the supply curve of that sector s dsplaced, under the usual ceters parbus condtons. The general equlbrum approach allows the relaxaton of ths hypothess, allowng endogenous changes n prces and quanttes of all the other sectors n response to the technologcal change (TC) n one sector. Besdes that, the general equlbrum (GE) approach makes t possble the jont analyss both of vertcal effects (across actvtes placed at dfferent levels of the commercalzaton chan, as s the case of agrculture and the food ndustry) and horzontal effects (between actvtes n the same level of the producton chan), through the nput-output relatons n the economy, as well as the prmary factors (labor and captal) markets. The vertcal effects relate to lnkages between prmary producton and the nput and product markets. In GE models these relatons are explctly modeled n the productve sphere of the model, where the producton technology of all sectors s detaled. For example, n the model used n ths study (the TERM-BR model) prmary factors of producton combne to create a composte prmary factor through a Constant Elastcty of Substtuton (CES) functon whch, for ts turn, combne wth other nputs produced by other producton actvtes through a Leontef (fxed coeffcents) functon, to produce a certan level of output.

3 3 The horzontal effects are those lnkng the producton actvtes through relaton n producton and consumpton. In the producton sde the actvtes compete for prmary factors (land, labor and captal), usually n lmted supply. And, n the demand sde, the producton also substtutes n consumpton between domestc and mported products, and n producton for the domestc versus export markets. The GE approach takes explctly nto account all those aspects, and allows the understandng of the net results of many complex effects. 4 Methodology: the TERM-BR, a general equlbrum model for dstrbutve effects A computable general equlbrum (CGE) model of the Brazlan economy wll be used to assess the economc and dstrbutonal mpact of the Total Factor Productvty growth n Brazlan agrculture. The core CGE model s lnked to a mcro-smulaton model of Brazl, and has ts theoretcal structure based on prevous work of Ferrera Flho and Horrdge (2006), Ferrera Flho, Santos and Lma (2007) and Ferrera Flho and Horrdge (2008). The model used n ths paper s calbrated usng a database for the 2004 year. It s based on the Brazlan Natonal Accounts for 2004 and the Brazlan Natonal Household Survey (Pesqusa Naconal por Amostragens de Domcílos PNAD), for the year 2004 (IBGE, 2004). In what follows a descrpton of the man features of the model s presented. The core CGE model used here, the TERM-BR model, s a statc nterregonal model of Brazl based on the TERM 2 model of Australa (Horrdge, Madden and Wttwer, 2005). It conssts, n essence, of 27 separate CGE models (one for each Brazlan state), lnked by the markets for goods and factors. For each regon, each ndustry and fnal demander combnes Brazlan and mported versons of each commodty to produce a user-specfc constant elastcty of substtuton (CES) composte good. Household consumpton of these domestc/mported compostes s modeled through the Lnear Expendture System, whle ntermedate demand has a Leontef (fxed proportons) structure. Industry demands for prmary factors follow a CES pattern, whle labor s tself a CES functon of 10 dfferent labor types. These dfferent labor types are classfed accordng to wages, as a proxy for sklls. The 2 Versons of TERM have been prepared for Australa, Brazl, Fnland, Chna, Indonesa and Japan. Related materal can be found at

4 4 model dstngushes 42 producng sectors (or ndustres), among whch 41 are sngleproduct ndustres and the agrcultural ( Agrculture ) ndustry dstrbutes ts output (accordng to a Constant Elastcty of Transformaton - CET constrant) between 11 agrcultural commodtes. Export volumes are determned by constant-elastcty foregn demand schedules. These regonal CGE models are lnked by trade n goods underpnned by large arrays of nter-regonal trade that record, for each commodty, source regon and destnaton regon, the values of Brazlan and foregn goods transported, as well as the assocated transport or trade margns 3. Users of, say, vegetables n São Paulo state substtute between vegetables produced n the 27 states accordng to ther relatve prces, under a CES demand system 4. Wth 27 regons, 42 ndustres, 52 commodtes, and 10 labor types, the model contans around 1.5 mllon non-lnear equatons. It s solved (n lnearzed form) wth the GEMPACK software. The CGE model s calbrated wth data from two man sources: a 2004 Brazlan Input-Output Matrx 5, and some shares derved from the Pesqusa Agrícola Muncpal (IBGE, 2004, avalable at ). On the ncome generaton sde of the model, workers are dvded nto 10 dfferent categores (occupatons), accordng to ther wages. These wage classes are then assgned to each regonal ndustry n the model. Together wth the revenues from other endowments (captal and land rents) these wages wll be used to generate household ncomes. Each actvty uses a partcular mx of the 10 dfferent labor occupatons (sklls). Changes n actvty level change employment by sector and regon. Ths drves changes n poverty and ncome dstrbuton. Usng the expendture survey (POF, mentoned below) data the CGE model was extended to cover 270 dfferent expendture patterns, composed of 10 dfferent ncome classes n 27 regons. In ths way, all the expendture-sde detal of the mcro-smulaton dataset s ncorporated wthn the man CGE model. 3 The dmensons of ths margns matrx are: 52*2*2*27*27 [COM*SRC*MAR*REG*REG]. 4 For most goods, the nter-regonal elastcty of substtuton s farly hgh. To ease the computatonal burden, we assume that all users of good G n regon R draw the same share of ther demands from regon Z. 5 The 2004 Brazlan Input-Output database used n ths study was generated by the author based on the Brazlan Natonal Accountng System tables (avalable at snce the last offcal Input-Output table publshed by the Brazlan statstcal agency f from 1996.

5 5 The mcro-smulaton model uses two man sources of nformaton: the Pesqusa Naconal por Amostragem de Domcílos PNAD (Natonal Household Survey IBGE, 2004), and the Pesqusa de Orçamentos Famlares- POF (Household Expendture Survey, IBGE, 2006). The PNAD contans nformaton about households and persons. The man nformaton extracted from PNAD were wage by ndustry and regon, as well as other personal characterstcs such as years of schoolng, sex, age, poston n the famly, and other soco-economc detals. The POF, on the other hand, s an expendture survey that covers all the metropoltan regons n Brazl. It was undertaken durng 2003, and covered 48,470 households, wth the purpose of updatng the consumpton bundle structure. The man nformaton drawn from ths survey was the expendture patterns of 10 dfferent ncome classes, for all regons. One such pattern was assgned to each ndvdual PNAD household, accordng to each ncome class. After preparaton, the mcrosmulaton database comprses 283,363 persons (older than 15 years old) and 121,849 households. The CGE and the mcro-smulaton (MS) models are run sequentally, wth consstency between the two models assured by constranng the mcro-smulaton model to agree wth the CGE model. The CGE model s suffcently detaled, and ts categores and data are close enough to those of the MS model that the CGE model predcts MS aggregate behavor (that s also ncluded n the CGE model, such as household demands or labor supples) very closely. The role of the MS model s to provde extra nformaton about the varance of ncome wthn ncome groups, or about the ncdence of prce and wage changes upon groups not dentfed by the CGE model, such as groups dentfed by ethnc type, educatonal level, or famly status. Note that each household n the mcro data set has one of the 270 expendture patterns dentfed n the man CGE model. There s very lttle scope for the MS to dsagree wth the CGE model. The smulaton starts wth a TFP n Agrculture shock, and a new equlbrum calculated for 52 commodtes, 42 ndustres, 10 households and 10 labor occupatons, all of whch vary by 27 regons. Next, the results from the CGE model are used to update the MS model. At frst, ths update conssts bascally n updatng wages and hours worked for the 283,363 workers n the sample. These changes have a regonal (27 regons) as well as sectoral (42 ndustres) dmenson.

6 6 The model then relocates jobs accordng to changes n labor demand 6. Ths s done by changng the PNAD weght of each worker n order to mmc the change n employment. In ths approach, then, there s a true job relocaton process gong on. Although the job relocaton has very lttle effect on the dstrbuton of wages between the 270 household groups dentfed by the CGE model, t may have consderable mpact on the varance of ncome wthn a group. One fnal pont about the procedure used n ths paper should be stressed. Although the changes n the labor market are smulated for each adult n the labor force, the changes n expendtures and n poverty are tracked back to the household dmenson. A PNAD key lnks persons to households, whch contan one or more adults, ether workng n a partcular sector and occupaton, or unemployed, as well as dependents. In the model then t s possble to recompose changes n the household ncome from the changes n ndvdual wages. Ths s a very mportant aspect of the model, snce t s lkely that famly ncome varatons are cushoned, n general, by ths procedure. If, for example, one person n some household loses hs job but another n the same household gets a new job, household ncome may change lttle (or even ncrease). Snce households are the expendture unts n the model, we would expect household spendng varatons to be smoothed by ths ncome poolng effect. On the other hand, the loss of a job wll ncrease poverty more f the dsplaced worker s the sole earner n a household. 5 Poverty and ncome dstrbuton n Brazl n the 2004 reference year Despte the recent mprovement, ncome n Brazl s stll very concentrated. If household ncome s splt n ten groups, as dsplayed n Table 1, t can be seen that the frst fve ncome household groups (POF 1 to POF 5), whle accountng for 52.9% of populaton, get only 18.5% of total household ncome. The rchest household, on the other hand, whle accountng for just 10.9% of the populaton, get 43.7% of total household ncome. 6 Ths methodology was named by the authors as the quantum method n prevous work, and s descrbed n more detal elsewhere (see Ferrera Flho. and Horrdge, 2005). Here only the man deas are presented.

7 7 Table 1. Poverty and ncome dstrbuton n Brazl Proporton of populaton Proporton of ncome Share bellow poverty lne (FGT0) Household Contrbutons to FGT0 Average poverty gap (FGT1) Household contrbutons to FGT1 1 POF[1] (poorest) POF[2] POF[3] POF[4] POF[5] POF[6] POF[7] POF[8] POF[9] POF[10] (rchest) Natonal values GINI 0.55 The poverty lne used n ths study was set as one thrd of the average household ncome. Based on ths poverty lne about 28% of the Brazlan households would be poor n 2004, or about 15,611,871 out of 55,707,000 households 7. The fgures n Table 1 also show how each POF group contrbutes to the Foster-Greer-Thorbecke (1984) (FGT, for short) overall measures of poverty: FGT0 the proporton of poor households (.e., below the poverty lne) and FGT1 the average poverty gap rato (proporton by whch household ncome falls below the poverty lne). It can be seen from Table 1 that the share bellow poverty lne s very hgh untl the thrd household ncome group, and that the poverty gap s very hgh among the poorest household group, around 53%. Actually, ths household group contrbutes to almost 75% to the natonal poverty gap. The poverty and ncome dstrbuton fgures also have mportant regonal dfferences nsde Brazl, a large country wth mportant regonal economc dfferentaton. These dfferences can be analyzed wth the ad of the fgures n Table 2. Table 2. Regonal poverty and ncome nequalty fgures. Brazl, Regons Macroregons (*) Regonal populaton share n total populaton Proporton of poor households n regonal populaton (FGT0) Regonal contrbuton to total FGT0 Regonal Average Poverty Gap (FGT1) Regonal Contrbuton to total Poverty Gap 7 The crteron used n ths study sets the value of the poverty lne n R$184.66, n 2004 values. Note that ths value s not drectly comparable to most other studes n the feld, snce t s computed based on an equvalent ncome bass, and not as the average household ncome, as many studes do.

8 8 1 Rondona N Acre N Amazonas N Rorama N Para N Amapa N Tocantns N Maranhao NE Pau NE Ceara NE RGNorte NE Paraba NE Pernambuco NE Alagoas NE Sergpe NE Baha NE MnasG SE EspSanto SE RoJanero SE SaoPaulo SE Parana S StaCatar S RGSul S MtGrSul CW MtGrosso CW Goas CW DF CW Total Brazl *Macro-Regons: N = North; NE = North-East; SE = South-East; S = South; CW = Center-West As t can be seen n Table 2, the most densely populated regons n Brazl are the Northeast regon (NE), wth 27.83% of total populaton, and the SE regon, wth 42.51% of total populaton n Brazl. The Northeast and North regons are those whch present the hgher relatve poverty levels, or share of regonal populaton bellow the poverty lne. When one takes nto account the sze of the populaton, however, Sao Paulo and Mnas Geras, both n the Southeast regons of Brazl appear, sde by sde wth Baha, as the most mportant contrbutors to the natonal headcount rato (FGT0) 8, as t can be seen from the ffth column n Table 2. Besdes that, Sao Paulo s also the most mportant regonal contrbutor to the poverty gap n the country. 8 Sao Paulo and Mnas Geras are two of the most ndustralzed states n Brazl.

9 9 Table 3 and Table 4 brng more nformaton regardng labor demand structure. Intally, Table 3 shows the structure of labor use by the producton sectors n Brazl. In ths table, the 42 ndustres have been aggregated to 5, for reportng purposes. The frst lne shows the upper lmt, n year 2004 Reas, of the value of each wage class. For example, the wage class OCC2 ncludes monthly wages rangng from R$130 to R$225, and so on. The last wage class, OCC10, ncludes all monthly wages hgher than R$1, n 2004 values 9. As t can be seen n the table, Agrculture accounts for about 50.2% and 47.8% of total use (wages) of the less sklled (lowest wages) workers n Brazl, respectvely wage classes OCC1 and OCC2, whle the other sectors account for a larger share of workers n the hgher wage classes. The Servces sector s another mportant sector for the employment of the poorest. Table 3. Use of labor by each aggregated actvty. Shares. Brazl, Wage classes Sectors OCC1 OCC2 OCC3 OCC4 OCC5 OCC6 OCC7 OCC8 OCC9 OCC10 Lmt (R$) open Agropec ExtratMn Manufact FoodInd Servces Total Table 4 brngs nformaton about the ncome composton of the household ncome classes n Brazl (POF1 to POF10, after the Pesqusa de Orçamentos Famlares POF, the expendture survey), the expendture unts n the model. As t can be seen, the ncome of the poorest households s mostly composed of wages comng from the poorer workers. The ncome of the poorest household (POF1), for example, s almost entrely composed of wages comng from the three lowest wage groups, the less sklled workers n the economy. Ths s an mportant aspect of the relaton between TC n agrculture and ts socal mpacts n Brazl. Agrculture pays a hgh share of the lowest wages n Brazl, 9 For the sake of reference, the monthly weghted average value of the mnmum wage n Brazl n 2004 was R$ (4 months at R$240.0 and 8 months at R$260). Roughly speakng, then, OCC3 s around the lmt of the mnmum wage value. The PNAD reference month s September, when the mnmum wage was R$260.00, whch s the upper lmt of the thrd wage group.

10 10 whch concentrates n the poorest households, what creates a strong lnk, from the ncome generaton sde, from changes n Agrculture and changes n the ncome of the poorest households. Ths aspect wll further explored later n ths text. Table 4. Household ncome composton accordng to worker s wage class. Brazl, OCC1 2 OCC2 3 OCC3 4 OCC4 5 OCC5 6 OCC6 7 OCC7 8 OCC8 9 OCC9 10 OCC10 Total 1 POF[1] POF[2] POF[3] POF[4] POF[5] POF[6] POF[7] POF[8] POF[9] POF[10] (*) POF1 s the poorest, POF10 the rchest. 6 The smulaton: technologcal change n the Brazlan agrculture The hgh rate of TC n many sectors s a notceable feature of the Brazlan economy n the last years. Bonell and Fonseca (1998) found, for example, for the perod 1970/1997 a rate of growth of the Total Factor Productvty (TFP) of 1.7% a year for the aggregate of the economy. If only the 1995/1997 perod s consdered, however, that rate ncreases to about 2.75% a year what, accordng to those authors, would explan about 90% of GDP varaton n the perod. The hgh ncrease n PTF n agrculture was documented by Gasques et al (2004), who found an annual rate of 4.88% for the decade of nnety, a value whch rses to 6.04% a year for the perod 2000/2002. Even though not drectly comparable, these two studes gve some gudance for the smulatons mplemented n ths paper. The scenaro to be smulated here entals a dfferental gans n PTF for agrculture of 2% a year n relaton to manufacturng. For a fve years perod, the value to be smulated s a 10% ncrease n TPF n the Brazlan agrculture, above the trend n the total economy, startng n the 2004 base year.

11 11 7 Model closure A central feature of CGE models s the closure used. CGE models are large sets of equatons representng an economy whch, n general, don t have orgnally the same number of equatons and varables. The choce of the endogenous/exogenous set of varables to make a soluton feasble s called the closure of the model. Ths choce s crucal for the results, and gves the model a partcular character, whch represent s the modeler s vew of how the economy works. The closure chosen for ths study gves the model a short run flavor, gven the 5 years perod span to be smulated. The man aspects of the closure used are: The captal stock s kept fxed at sector level, wth the rate of return to captal adjustng endogenously to varatons n captal demand. In the labor market the closure s dfferentated for sklled and non-sklled types of labor. For the 10 occupatonal categores of the model, the frst 5 (less sklled workers) are deemed to be perfectly moble between sectors and regons. For these workers natonal employment s a postve functon of natonal real wages n the smulaton, representng the exstence of labor surplus n all regons of these types of workers. For the hgher wage groups (the last 5 wage groups) the total supply of labor s consdered fxed (exogenous) at natonal level. The adjustng varable n ths market s the real wage only, whch shall rse n expandng sectors n order to attract workers from contractng sectors. The model allows for lmted substtuton between dfferent types of labor. The total land stock s fxed, and used only by the agrcultural actvtes. The nomnal exchange rate s the model s numerare. In the above descrpton of the way the economy adjusts the short run flavor s mposed through the fxed quantty of factors stocks, notably land, captal and sklled labor. 8 Measurng the socal gans assocated wth TC n the Brazlan agrculture In partal equlbrum models the gans of TC are usually evaluated through varatons n the consumers and producers surplus. As mentoned before, these

12 12 measures don t take nto account the nterdependence between the many markets n the economy. The CGE models, on the other hand, on recognzng explctly the nterdependence of those markets allow the calculaton of broader measures of welfare varaton, as s the case of the money metrc measures of utlty varaton. Among the dfferent possble choces, a useful measure s the Hcksan Equvalent Varaton (EV) concept. Bascally the EV measures the amount of ncome whch would be equvalent, n welfare terms, to the change observed n the economy, or the TC n the case under study. In other words, the EV s meant to represent the amount of ncome that would have to be gven to (or taken from) an agent after a polcy shock to keep hm at the orgnal welfare poston, but after the ntroducton of the shocks. The consumer demand n the TERM-BR model s represented by the Lnear Expendture System (LES). The Money Metrc Utlty measure (MMU) must then be derved from the correspondng utlty functon. The utlty functon assocated s the Stone-Geary functon: β U = ( C γ ), where β = 1 and γ s the subsstence mnmum of each good, and C s the total consumpton of each good. Gven the utlty functon, the demand functon s obtaned through the ncome constraned maxmzaton process, resultng: ( Y P ) β C ( P, Y ) = γ + γ. P, where Y s the consumer s nomnal ncome and P the prce vector. The ndrect utlty functon s obtaned substtutng the demand functons n the utlty functon, resultng: V β β ( P, Y ) = [ Y γ ]. P *. And, fnally, solvng for Y the MMU P functon can be obtaned: P Y ( P, U ) = * U + γ. P β β. The EV then can be calculated as: ( P, U ( P, Y )) Y EV = M, where, substtutng the expresson for U and rearrangng results:

13 13 β [ Y γ. P ] [ Y. P ] 0 P EV =. γ. The superscrpts 0 and 1 1 P represent the tme perods before and after the polcy shock. Ths s the formula to calculate the EV n the model Results Ths secton brngs the results of the smulaton. The sector aggregaton to be used n ths paper can be seen n Table 5, bellow. Table 5. Sectors, products, occupatons and regons. Actvtes Products Margns Occupatons Regons Agrculture Coffee, Sugar Cane, Rce, Wheat, Soybean, Cotton, Corn, Lvestock, Natural Mlk, Poultry, Other Agrculture Trade OCC1 Rondona MneralExtr Mneral Extracton Transport OCC2 Acre PetrGasExtr Ol and gas OCC3 Amazonas MnNonMet Non metallc mnerals OCC4 Rorama IronProduc Iron ore OCC5 Para MetalNonFerr Non ferrous metals OCC6 Amapa OtherMetal Other metals OCC7 Tocantns MachTractor Machnes and tractors OCC8 Maranhao EletrcMat Electrc materal OCC9 Pau EletronEqup Eletronc equpment OCC10 Ceara Automobles Automobles RGNorte OthVecSpare Other vehcles and spare parts Paraba WoodFurnt Furnture and lumber Pernambuco PaperGraph Paper and graphc Alagoas RubberInd Rubber products Sergpe ChemcElem Chemcal elements Baha PetrolRefn Petrol Refnery MnasG VarousChem Other chemcal products EspSanto PharmacPerf Pharmaceutcals RoJanero Plastcs Plastcs SaoPaulo Textles Textles Parana Apparel Apparel StaCatar ShoesInd Shoes and leather products RGSul CoffeeInd Processed coffee MtGrSul VegetProcess Vegetable processng MtGrosso Slaughter Processed anmal products Goas Dary Dary DF SugarInd Sugar VegetOls Vegetable ols OthFood Other foods VarousInd Other ndustres 10 Actually, the model uses a lnearzed verson of ths formula.

14 14 PubUtlServ CvlConst Trade Transport Comunc FnancInst FamServc EnterpServ BuldRentals PublAdm NMercPrSer Publc utltes servces Cvl constructon Trade Transport Communcatons Fnancal nsttutons Servces to households Servces to busness Dwellngs Publc admnstraton Non mercaltle prvate servces As mentoned before, the scenaro to be analyzed comprses a 10% ncrease n PTF n the Brazlan agrculture, under the specfed set of hypothess about the factors markets closure. In what follows the results of the smulaton are presented. Intally, Table 6 brngs the results of some selected macroeconomc varables. Table 6. Model results, selected macroeconomc varables. Varable % varaton Real household consumpton 1.13 Government comsumpton 0 Exports quantum ndex 2.78 Imports quantum ndex 0.24 Real GDP 1.13 Average Real wage 1.01 Aggregated employment Consumer Prce Index 0.02 GDP deflator 0.11 Exports prce ndex Imports prce ndex 0 Land prce As t can be seen from the above table, the smulated shock s mportant enough to generate aggregated mpacts n the model. The ncrease n TFP expands the producton possblty fronter of the economy, allowng an expanson n GDP. The results show a 1.13% ncrease n real terms. Ths ncrease s obtaned through ncreases n household consumpton (from the expendture sde) and n exports. Wth gven CIF mport prces and nomnal exchange rate value (numerare) the terms of change vary by exactly the same amount of the exports prce ndex, meanng that the TFP change n agrculture generates a fall n the terms of trade.

15 15 The average real wage ncreases, whle aggregate employment remans almost constant (a slght decrease). It s worth to remember that the labor market closure fxes the aggregated quantty of sklled labor. The ncrease n the real wage, then, s mostly due to the ncrease n the sklled workers wages, whch ncrease more than the Consumer Prce Index (CPI). These results can be seen n Table 7, bellow. Table 7. Model results. Wages and employment, by occupatonal class. Percent varatons. Wage class Nomnal wage Real wage Employment OCC OCC OCC OCC OCC OCC OCC OCC OCC OCC As t can be seen, employment varatons occur n the frst fve occupatonal groups, or the less sklled workers, wth a fall n employment of the less sklled due to the TC n agrculture. Ths fall happens manly due to a fall n employment of ths type of workers n agrculture, snce ths sector s responsble, n the database, for about 50.2% of the natonal wage bll of the lowest wages n Brazl (OCC1) n 2004 (see Table 3). The ncrease n TFP n agrculture ncreases the real GDP, as expected. Ths ncrease, however, does not translate n unform ncreases among all producng actvtes. As t can be seen n Table 8, the level of actvty of agrculture ncreases by 8.69%, whle employment falls by 2.54% n the same sector. Note that ths s the only one sector where both actvty level and employment vary n opposte drectons, what s due to the TC. Table 8. Model results, sector varables. Percent varaton. Sector Actvty level Employment Producton cost Agrculture MneralExtr PetrGasExtr MnNonMet IronProduc MetalNonFerr OtherMetal MachTractor EletrcMat EletronEqup

16 16 Automobles OthVecSpare WoodFurnt PaperGraph RubberInd ChemcElem PetrolRefn VarousChem PharmacPerf Plastcs Textles Apparel ShoesInd CoffeeInd VegetProcess Slaughter Dary SugarInd VegetOls OthFood VarousInd PubUtlServ CvlConst Trade Transport Comunc FnancInst FamServc EnterpServ BuldRentals PublAdm NMercPrSer *- Only ntermedate nputs, does not nclude prmary factors costs. Agrculture produces n the model eleven commodtes, wth dfferent producton varaton outcomes, as can be seen n Table 9. In ths table, the last column shows the total value exported of each commodty as a share of total use n Brazl n As t can be seen, coffee, wheat and soybeans have sgnfcant shares of ther total use exported n that year. Not by concdence these are the commodtes that expand producton the most, gven the hgh export elastcty assumed n ths study. The other commodtes, whch are drected more to the domestc market, show a smaller ncrease n producton. Table 9. Agrcultural commodtes. Producton and export varaton %) and exported share. Commodty Producton Exports (value) Exported share n total use Coffee SugarCane PaddyRce Wheat Soybean Cotton (n seed) Corn Lvestock

17 17 NaturMlk Poultry OtherAgrc Notce also that the food ndustry n general experences a strong push n ts actvty level, as well as a reducton n ts producton cost (Table 8). Ths llustrates the fact that the gans n TFP n agrculture are transmtted n the commercalzaton chan, beneftng the other sectors whch have n agrcultural products ts man nputs. The above results suggest that labor composton n the economy must change after the shock, snce dfferent sectors have dfferent labor demand structure, whch stll vares across regons. The smulaton results for regonal employment and regonal Gross Domestc Product (GDP) can be seen n Table 10. Table 10. Regonal employment and GDP. Percent varaton. Regon Employment Regonal GDP Rondôna Acre Amazonas Rorama Para Amapá Tocantns Maranhão Pauí Ceara Ro Grande Norte Paraíba Pernambuco Alagoas Sergpe Baha Mnas Geras Espírto Santo Ro de Janero São Paulo Paraná Sta. Catarna Ro Grande Sul Mato Grosso Sul Mato Grosso Goás DF The results for employment at regonal level are a wage bll weghted average of employment varaton at ndustry level n each regon. As t can be seen from Table

18 18 10, the results are mxed, wth some states ncreasng and others decreasng employment. Ths net result depends on the labor composton n each actvty, as well as on the share of each actvty n the regons. Note also n the same table that regonal GDP ncreases n every state, even n those where there s a fall n employment, and ncreases more n those states where agrculture has a relatvely hgher share n total regonal value added. It was seen before n Table 7 that the fall n employment happens manly n the less sklled labor types, what s, of course, a consequence of the structure of labor demand n agrculture. Ths s, then, a clear example of the effects of technologcal progress n a sector whch demands proportonately more unsklled labor than the other sectors n the economy. The ncrease n the TFP n agrculture tends to save all producton factors, but proportonately more the more ntensve n use, generatng a negatve dstrbutve effect (as wll be seen later). In terms of socal gans evaluaton, however, there s stll another effect whch must be taken nto account, namely the varaton n the prce of food whch, as s well known, accounts for an mportant share of the consumpton bundle of the poorest households. Beng the consumpton bundle partcular to each ncome group, a specfc analyss for each ncome group s requred n order to correctly nclude ths effect. The model allows ths calculaton, snce the consumpton bundle by type of household s explctly modeled wth nformaton from the Expendture Surveys (POF). The results can be seen n Table 11. Table 11. Income varaton by household ncome group. Percent varaton. Income group Nomnal ncome Consumer Prce Index Real ncome POF[1] POF[2] POF[3] POF[4] POF[5] POF[6] POF[7] POF[8] POF[9] POF[10] As dscussed before, household ncome s calculated n the model trackng back from the ndvdual ncomes after the polcy shock, aggregatng to each

19 19 household the ncome of all the workers belongng to t 11. As t can be seen n Table 11 the household nomnal ncome ncreases n all ncome groups, rrespectve to the fall n employment observed prevously 12. The second column n the table shows the household specfc Consumer Prce Index. As t can be seen, the lower ncome households, whch usually expend a large share of ther ncome on food, show a larger fall n the CPI, due to the ncrease n PTF n agrculture. Ths doesn t happen n the three hghest ncome groups, whch show a postve varaton n CPI. But the real ncome varaton, whch s the dfference n the percentage ncrease n the nomnal ncome and the CPI, s postve for all households. Model results show, then, that even though the TFP ncrease n agrculture reduces the employment of the least sklled (and poorest) occupatonal group n Brazl, the benefts generated by the fall n prces and the general equlbrum employment effects on the economy tend to overcome that effect. Model results, then, pont to a generalzed gan n the economy. Agan, ths s a general equlbrum effect that can be only captured n ths knd of models. The above nformaton can also be analyzed from a regonal perspectve, as shown n Table 12. Table 12. Model results. Nomnal ncome, Consumer Prce Index and Real Income, by regon. Percent varaton. Regon Nomnal ncome Consumer Prce Index Real Income Rondôna Acre Amazonas Rorama Para Amapá Tocantns Maranhão Pauí Ceara Ro Grande Norte Paraíba Pernambuco Alagoas Sergpe Baha The PNAD database allows dentfyng the lnk between persons and households. 12 Remember that the household ncome s an add-up of dfferent occupatonal wage groups, as shown n Table 4. Besdes that, one of the hypothess of ths work s that government transfers to households, whch n 2004 accounts to 19.7% of total household ncome and s concentrated n the poorest, s updated (ncreases) by the nomnal GDP growth. Ths s, of course, an arguable hypothess.

20 20 Mnas Geras Espírto Santo Ro de Janero São Paulo Paraná Sta. Catarna Ro Grande Sul Mato Grosso Sul Mato Grosso Goás DF The results above turn evdent the compostonal effect of the regonal consumpton bundle over the real ncomes. The prce of the consumpton bundle tends to fall more n the North and Northeast regons of Brazl, snce n these regons there s proportonally a concentraton or poor households, whose members are counted among the lowest occupatonal wage groups. It s n these regons, then, that the fall n the prce of food has greater nfluence upon the real ncomes. In the other regons of the country, where the hgher ncome households concentrate relatvely more, the CPI actually ncreases, as s the case of the states of Sao Paulo, Ro de Janero, Paraná and Santa Catarna. Ths effect s caused by the ncrease n the prce of the other (nonfood and mported) goods n the consumpton bundle, a general equlbrum effect caused by the TFP ncrease n agrculture. Stll, t calls attenton the results for Alagoas state, where the (negatve) nomnal ncome effect domnates the prce bundle effect, generatng a fall n regonal real ncome. Ths result s partcular lnked to the sugar cane producton, whch n the database s responsble for about 7% of total state value of producton, and s relatvely ntensve n the least sklled workers. And, fnally, as mentoned before, the use of a CGE model allows the calculaton of broad money metrc measure of welfare varaton, specfcally the Hcksan Equvalent Varaton (EV). Ths measure s a synthess of all the multple effects generated by the PTF ncrease n agrculture, a net welfare measure caused by the polcy shock n the economy. The smulated 10% ncrease n TPF n agrculture, then, would be assocated to a R$12, mllons gan n 2004 values. Ths amount would correspond to 0.67% of the Brazlan GDP n , or a gan of about 0.11% of GDP per year. Accordng to the EV defnton ths would be the money value that would keep the economc agents n Brazl n the same welfare level f the TFP n 13 The value of the Brazlan GDP n 2004 was R$1,937,183 mllons.

21 21 agrculture dd not have happened n the way t was smulated here. Ths gan would be around R$2.6 bllons per year. As a yardstck for comparson, the budget of Embrapa n 2004 was R$923 mllons, a value whch falls to R$740 mllons n the perod average. Ths s a hgh socal gan. Of course, not all of t can be attrbuted to the research n scence and technology n Brazl, snce part of those gans arses as a result of spllovers from nvestments n other countres. It can be expected, however, that a substantal share of those gans are assocated to the domestc nvestments n research. Stll to gve a perspectve for those values, Araujo et al (2002) estmated that the return to nvestment n research n the Sao Paulo state s around R$12 for each R$1 nvested. Ths value s close to that found by Grlches (1975) for the Amercan agrculture. Evenson, Pray and Rosegrand (1999), however, found a lower value of R$5 to R$6 for Inda. 10 Poverty and ncome dstrbuton results As dscussed prevously, the mcro-smulaton model uses nformaton from PNAD and allows the trackng of the effects of TC n Agrculture on poverty and ncome dstrbuton n Brazl. The results can be seen n Table 13. Table 13. Poverty and ncome dstrbuton results. Percent varaton. Household Income class Average real ncome GINI Proporton of poor households (headcount rato) Average poverty gap (FGT1) Index 1 POF[1] POF[2] POF[3] POF[4] POF[5] POF[6] POF[7] POF[8] POF[9] POF[10] Orgnal values (base year) Percentage change The results n Table 13 show how some ncome and poverty ndcators n Brazl would change due to the smulated TFP n the Brazlan agrculture. As t can be seen, results show an aggregate fall n poverty (number of households bellow the poverty lne, or headcount rato), wth a 0.29% reducton n the headcount rato. Ths

22 22 would amount to 45,162 less poor households, or less 189,059 people. The fall n poverty s more ntense n the poorest households, and concentrates n the thrd household ncome group 14. The poverty gap, on the other hand, also reduces for the poorest households, but ncreases for all the others. Ths s reflected n a 1.35% ncrease n the aggregate poverty gap, meanng that n average there s an ncrease n the dstance of the average ncomes of the poor to the poverty lne. Interestngly enough, model results also pont to a worsenng of the GINI ndex, whch s a measure of ncome dstrbuton n the economy. Ths s assocated to the fall n employment of the two least sklled (lowest wages) households, as shown n Table 7. The results on poverty and ncome dstrbuton can also be seen n regonal terms, as shown n Fgure 1. As t can be seen n the fgure, the number of poor households actually ncreases n the poorest North and Northeast regons (except for Ceara and Ro Grande do Norte), and decreases n the other regons. The aggregated result, then, s lnked to the fall n poverty n the rchest states n Brazl, as t can be seen from the absolute number of households leavng poverty n Sao Paulo, for example. Change n poor households, by regons % change Rondona 2 Acre 3 Amazonas 4 Rorama 5 Para 6 Amapa 7 Tocantns 8 Maranhao 9 Pau 10 Ceara 11 RGNorte 12 Paraba 13 Pernambuco % change absolute numbers 14 Alagoas 15 Sergpe 16 Baha 17 MnasG 18 EspSanto 19 RoJanero 20 SaoPaulo 21 Parana 22 StaCatar 23 RGSul 24 MtGrSul 25 MtGrosso 26 Goas 27 DF Fgure 1. Model results. Change n number of poor households, by regon. Percentage change. 14 The very hgh numbers n poverty varaton for households n class 4 and above are meanngless, snce they represent a very hgh percent varaton on a very small base value absolute numbers

23 23 Ths s an mportant ssue assocated to the phenomenon, whch, even though s poverty decreasng n aggregate, would tend to ncrease the actual regonal employment dspartes n Brazl. Ths result, of course, could be dfferent f dfferent regonal TFP change measures were used n the smulatons. Ths nformaton, however, s not avalable, but would be very mportant for a more refned analyss of the process. The same occurs wth a more detaled descrpton of the TC n Brazl. In ths paper t s assumed to be Hcks neutral, or non-based, what s also an arguable hypothess. Feld observaton suggests that TC n Brazl s actually labor savng, and s lkely to vary regonally, dependng on a myrad of varables and crcumstances. 11 Fnal remarks As dscussed n ths paper, the TFP ncrease n agrculture has complex general equlbrum effects whch dstrbute unevenly between the dfferent actors n the socety. The results here found suggest some ponts of partcular nterest. Intally, t was shown that the employment of the less sklled workers would be negatvely affected by the change, what s caused by the partcular labor demand structure n the Brazlan agrculture. Ths s an extremely mportant aspect of the problem, and deserves a lttle more attenton. The technologcal shock appled to the model s neutral (non-based) from the standpont of factor use. The dynamc actvtes n the Brazlan agrculture, however, appear to demand, n the dynamc regons, relatvely less low sklls labor and more hgh sklls labor than n the less dynamc regons. Ths observaton suggests that, n fact, the technologcal progress n the Brazlan agrculture s labor savng, and not neutral. Even though ths hypothess rased before by Ferrera Flho (2004) stll demands more emprcal assessment, ts consequence would be a worsenng of the negatve effect here observed for the less sklled employment. Another aspect assocated to the abovementoned s related to the spllover of the TFP ncrease n agrculture to the other sectors n the economy. Just as the agrcultural sector, the other sectors n the upstream poston n the commercalzaton chan (food and other sectors to whch agrcultural nputs are mportant) would also be benefted n terms of ncreasng ther actvty level. On the contrary of agrculture,

24 24 however, these sectors would show an ncrease n ther employment levels, compensatng n part the fall observed n agrculture. Model results for employment are mxed across regons, wth some states ncreasng aggregate employment and other states decreasng. The aggregated regonal results, however, hde the fact that the effect on employment s partcularly negatve for the less sklled workers n every state, wth mportant falls n the Northeast regons, the poorest n the country. The TFP n agrculture s transmtted through the commercalzaton chan, promotng also a regonal redstrbuton of ncome, gven the heterogenety of the spatal dstrbuton of the economc actvty n the Brazlan terrtory. Wth the food and agrcultural related ndustres concentrated n the South-Southeast Brazl, one of the effects of the TFP n agrculture s to decrease less qualfcaton jobs employment n agrcultural regons and ncrease more qualfed employment n regons where food and agrcultural related ndustres are concentrated. Despte ths last aspect of the problem, the results here found suggest that the postve net effect of the TFP ncrease n agrculture on welfare would be caused manly by the fall n food prces, whch would beneft the poorest the most. Actually, as shown by Alves (2004) the technologcal change n the Brazlan agrculture nduced by the research system has had mportant role n the reducton of food prces n the country. And, fnally, t s worth notng that the approach used n ths paper doesn t take nto account the frctonal effects of the adjustments n the labor market, whch are mportant n realty. As a statc model, the results show the fnal state of the economy n comparson to the ntal one, but gve mportant hnts regardng the consequences of TFP ncrease n the Brazlan agrculture. Ths phenomenon reduces the employment of the unsklled workers proportonately more than the other types of workers, and ths happens not as a consequence of based technologcal change (not smulated here), but due to the labor demand structure n agrculture. Wth TC the agrcultural sector wll demand less and less unsklled workers, and would reduce ts role as the most mportant employer of that knd of labor. The ssue of whch polcy nstruments should be used to accommodate that phenomenon becomes relevant n a medum run perspectve. Polces that turn labor a less expensve producton factor would assume a promnent role here. Ths s especally true for the less sklled labor groups, whch are better substtutes for captal

25 25 (machnery and equpment) n the producton process. Sklled labor s, n a certan sense, complementary to captal and modern producton technques, what can be nferred by the partcular producton structure of some actvtes n the tradtonal and dynamc agrcultural regons. In ths context, the queston of adaptaton of the Brazlan legal system to cope wth ths aspect of the problem would consttute a research program n tself, and the hypothess to be examned would be to what extent s the labor legslaton dstortng the relatve prces of labor and captal n Brazlan agrculture. 12 References Alves, E.A. Presdente, fque bravo com a Embrapa. O Estado de São Paulo, edção de 23 de Dezembro de Horrdge, Madden and Wttwer (2005), The mpact of the drought on Australa, Journal of Polcy Modelng, vol. 27, ssue 3, pages O Crescmento da Agrcultura Paulsta e as Insttuções de Ensno, Pesqusa e Extensão numa Perspectva de Longo Prazo. Relatóro Fnal de Pesqusa à FAPESP. Snt Bonell, R; Fonseca, R. Ganhos de Produtvdade e de Efcênca: Novos Resultados para a Economa Braslera. IPEA. Texto para Dscussão no p. Ro de Janero, Carvalho, M.A. Desempenho da Agrcultura Braslera no Comérco Exteror. snt. 16 p Deaton, A; Muellbauer, J. Economcs and Consumer Behavor. Cambrdge Unversty Press Evenson,R.E; Pray,C,E; Rosegrant,M.W. Agrcultural Research and Productvty n Índa. Research Report 109. IFPRI, Ferrera Flho; J.B.S. Mudança Tecnológca e a Estrutura da Demanda por Trabalho na Agrcultura Braslera. In: Workshop sobre Trabalho na Agrondústra Açucarera. S.n.t. Praccaba, Novembro, Ferrera Flho; J.B.S; HORRIDGE, J.M. The Doha Round, Poverty and Regonal Inequalty n Brazl. In: Hertel, T.W; Wnters, A. (eds) Puttng Development Back nto de Doha Agenda: Poverty Impacts of a WTO

A NOTE ON CES FUNCTIONS Drago Bergholt, BI Norwegian Business School 2011

A NOTE ON CES FUNCTIONS Drago Bergholt, BI Norwegian Business School 2011 A NOTE ON CES FUNCTIONS Drago Bergholt, BI Norwegan Busness School 2011 Functons featurng constant elastcty of substtuton CES are wdely used n appled economcs and fnance. In ths note, I do two thngs. Frst,

More information

Structure and Drive Paul A. Jensen Copyright July 20, 2003

Structure and Drive Paul A. Jensen Copyright July 20, 2003 Structure and Drve Paul A. Jensen Copyrght July 20, 2003 A system s made up of several operatons wth flow passng between them. The structure of the system descrbes the flow paths from nputs to outputs.

More information

Welfare Properties of General Equilibrium. What can be said about optimality properties of resource allocation implied by general equilibrium?

Welfare Properties of General Equilibrium. What can be said about optimality properties of resource allocation implied by general equilibrium? APPLIED WELFARE ECONOMICS AND POLICY ANALYSIS Welfare Propertes of General Equlbrum What can be sad about optmalty propertes of resource allocaton mpled by general equlbrum? Any crteron used to compare

More information

2016 Wiley. Study Session 2: Ethical and Professional Standards Application

2016 Wiley. Study Session 2: Ethical and Professional Standards Application 6 Wley Study Sesson : Ethcal and Professonal Standards Applcaton LESSON : CORRECTION ANALYSIS Readng 9: Correlaton and Regresson LOS 9a: Calculate and nterpret a sample covarance and a sample correlaton

More information

How Strong Are Weak Patents? Joseph Farrell and Carl Shapiro. Supplementary Material Licensing Probabilistic Patents to Cournot Oligopolists *

How Strong Are Weak Patents? Joseph Farrell and Carl Shapiro. Supplementary Material Licensing Probabilistic Patents to Cournot Oligopolists * How Strong Are Weak Patents? Joseph Farrell and Carl Shapro Supplementary Materal Lcensng Probablstc Patents to Cournot Olgopolsts * September 007 We study here the specal case n whch downstream competton

More information

The Gains from Input Trade in Firm-Based Models of Importing by Joaquin Blaum, Claire Lelarge and Michael Peters

The Gains from Input Trade in Firm-Based Models of Importing by Joaquin Blaum, Claire Lelarge and Michael Peters The Gans from Input Trade n Frm-Based Models of Importng by Joaqun Blaum, Clare Lelarge and Mchael Peters Onlne Appendx Not for Publcaton Ths Appendx contans the followng addtonal results and materal:.

More information

Economics 2450A: Public Economics Section 10: Education Policies and Simpler Theory of Capital Taxation

Economics 2450A: Public Economics Section 10: Education Policies and Simpler Theory of Capital Taxation Economcs 2450A: Publc Economcs Secton 10: Educaton Polces and Smpler Theory of Captal Taxaton Matteo Parads November 14, 2016 In ths secton we study educaton polces n a smplfed verson of framework analyzed

More information

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity Week3, Chapter 4 Moton n Two Dmensons Lecture Quz A partcle confned to moton along the x axs moves wth constant acceleraton from x =.0 m to x = 8.0 m durng a 1-s tme nterval. The velocty of the partcle

More information

CGE Models. Eduardo Haddad

CGE Models. Eduardo Haddad CGE Models Eduardo Haddad What do you see n ths pcture? 2 Outlne Introducton Structure of a CGE Model The Johansen Approach Stylzed Johansen Model 3 What s a CGE? Computable, based on data It has many

More information

Uncertainty in measurements of power and energy on power networks

Uncertainty in measurements of power and energy on power networks Uncertanty n measurements of power and energy on power networks E. Manov, N. Kolev Department of Measurement and Instrumentaton, Techncal Unversty Sofa, bul. Klment Ohrdsk No8, bl., 000 Sofa, Bulgara Tel./fax:

More information

Kernel Methods and SVMs Extension

Kernel Methods and SVMs Extension Kernel Methods and SVMs Extenson The purpose of ths document s to revew materal covered n Machne Learnng 1 Supervsed Learnng regardng support vector machnes (SVMs). Ths document also provdes a general

More information

Let p z be the price of z and p 1 and p 2 be the prices of the goods making up y. In general there is no problem in grouping goods.

Let p z be the price of z and p 1 and p 2 be the prices of the goods making up y. In general there is no problem in grouping goods. Economcs 90 Prce Theory ON THE QUESTION OF SEPARABILITY What we would lke to be able to do s estmate demand curves by segmentng consumers purchases nto groups. In one applcaton, we aggregate purchases

More information

Lecture Notes, January 11, 2010

Lecture Notes, January 11, 2010 Economcs 200B UCSD Wnter 2010 Lecture otes, January 11, 2010 Partal equlbrum comparatve statcs Partal equlbrum: Market for one good only wth supply and demand as a functon of prce. Prce s defned as the

More information

UNR Joint Economics Working Paper Series Working Paper No Further Analysis of the Zipf Law: Does the Rank-Size Rule Really Exist?

UNR Joint Economics Working Paper Series Working Paper No Further Analysis of the Zipf Law: Does the Rank-Size Rule Really Exist? UNR Jont Economcs Workng Paper Seres Workng Paper No. 08-005 Further Analyss of the Zpf Law: Does the Rank-Sze Rule Really Exst? Fungsa Nota and Shunfeng Song Department of Economcs /030 Unversty of Nevada,

More information

Mixed Taxation and Production Efficiency

Mixed Taxation and Production Efficiency Floran Scheuer 2/23/2016 Mxed Taxaton and Producton Effcency 1 Overvew 1. Unform commodty taxaton under non-lnear ncome taxaton Atknson-Stgltz (JPubE 1976) Theorem Applcaton to captal taxaton 2. Unform

More information

CGE Models. Eduardo Haddad

CGE Models. Eduardo Haddad CGE Models Eduardo Haddad Outlne Introducton Structure of a CGE Model The Johansen Approach Stylzed Johansen Model 2 What s a CGE? Computable, based on data It has many sectors And perhaps many regons,

More information

Resource Allocation with a Budget Constraint for Computing Independent Tasks in the Cloud

Resource Allocation with a Budget Constraint for Computing Independent Tasks in the Cloud Resource Allocaton wth a Budget Constrant for Computng Independent Tasks n the Cloud Wemng Sh and Bo Hong School of Electrcal and Computer Engneerng Georga Insttute of Technology, USA 2nd IEEE Internatonal

More information

Lecture 9: Linear regression: centering, hypothesis testing, multiple covariates, and confounding

Lecture 9: Linear regression: centering, hypothesis testing, multiple covariates, and confounding Recall: man dea of lnear regresson Lecture 9: Lnear regresson: centerng, hypothess testng, multple covarates, and confoundng Sandy Eckel seckel@jhsph.edu 6 May 8 Lnear regresson can be used to study an

More information

Lecture 6: Introduction to Linear Regression

Lecture 6: Introduction to Linear Regression Lecture 6: Introducton to Lnear Regresson An Manchakul amancha@jhsph.edu 24 Aprl 27 Lnear regresson: man dea Lnear regresson can be used to study an outcome as a lnear functon of a predctor Example: 6

More information

Midterm Examination. Regression and Forecasting Models

Midterm Examination. Regression and Forecasting Models IOMS Department Regresson and Forecastng Models Professor Wllam Greene Phone: 22.998.0876 Offce: KMC 7-90 Home page: people.stern.nyu.edu/wgreene Emal: wgreene@stern.nyu.edu Course web page: people.stern.nyu.edu/wgreene/regresson/outlne.htm

More information

Lecture 9: Linear regression: centering, hypothesis testing, multiple covariates, and confounding

Lecture 9: Linear regression: centering, hypothesis testing, multiple covariates, and confounding Lecture 9: Lnear regresson: centerng, hypothess testng, multple covarates, and confoundng Sandy Eckel seckel@jhsph.edu 6 May 008 Recall: man dea of lnear regresson Lnear regresson can be used to study

More information

Simulated Power of the Discrete Cramér-von Mises Goodness-of-Fit Tests

Simulated Power of the Discrete Cramér-von Mises Goodness-of-Fit Tests Smulated of the Cramér-von Mses Goodness-of-Ft Tests Steele, M., Chaselng, J. and 3 Hurst, C. School of Mathematcal and Physcal Scences, James Cook Unversty, Australan School of Envronmental Studes, Grffth

More information

Econ107 Applied Econometrics Topic 3: Classical Model (Studenmund, Chapter 4)

Econ107 Applied Econometrics Topic 3: Classical Model (Studenmund, Chapter 4) I. Classcal Assumptons Econ7 Appled Econometrcs Topc 3: Classcal Model (Studenmund, Chapter 4) We have defned OLS and studed some algebrac propertes of OLS. In ths topc we wll study statstcal propertes

More information

x = , so that calculated

x = , so that calculated Stat 4, secton Sngle Factor ANOVA notes by Tm Plachowsk n chapter 8 we conducted hypothess tests n whch we compared a sngle sample s mean or proporton to some hypotheszed value Chapter 9 expanded ths to

More information

ANSWERS. Problem 1. and the moment generating function (mgf) by. defined for any real t. Use this to show that E( U) var( U)

ANSWERS. Problem 1. and the moment generating function (mgf) by. defined for any real t. Use this to show that E( U) var( U) Econ 413 Exam 13 H ANSWERS Settet er nndelt 9 deloppgaver, A,B,C, som alle anbefales å telle lkt for å gøre det ltt lettere å stå. Svar er gtt . Unfortunately, there s a prntng error n the hnt of

More information

Basically, if you have a dummy dependent variable you will be estimating a probability.

Basically, if you have a dummy dependent variable you will be estimating a probability. ECON 497: Lecture Notes 13 Page 1 of 1 Metropoltan State Unversty ECON 497: Research and Forecastng Lecture Notes 13 Dummy Dependent Varable Technques Studenmund Chapter 13 Bascally, f you have a dummy

More information

Economics 8105 Macroeconomic Theory Recitation 1

Economics 8105 Macroeconomic Theory Recitation 1 Economcs 8105 Macroeconomc Theory Rectaton 1 Outlne: Conor Ryan September 6th, 2016 Adapted From Anh Thu (Monca) Tran Xuan s Notes Last Updated September 20th, 2016 Dynamc Economc Envronment Arrow-Debreu

More information

Comparison of Regression Lines

Comparison of Regression Lines STATGRAPHICS Rev. 9/13/2013 Comparson of Regresson Lnes Summary... 1 Data Input... 3 Analyss Summary... 4 Plot of Ftted Model... 6 Condtonal Sums of Squares... 6 Analyss Optons... 7 Forecasts... 8 Confdence

More information

TREND OF POVERTY INTENSITY IN IRAN

TREND OF POVERTY INTENSITY IN IRAN www.arpapress.com/volumes/vol4issue/ijrras_4.pdf TREND OF POVERTY INTENSITY IN IRAN 99-200 F. Bagher & M.S. Avazalpour 2 Statstcal Research and Tranng Centre, Tehran, Iran 2 Statstcal Research and Tranng

More information

Numerical Heat and Mass Transfer

Numerical Heat and Mass Transfer Master degree n Mechancal Engneerng Numercal Heat and Mass Transfer 06-Fnte-Dfference Method (One-dmensonal, steady state heat conducton) Fausto Arpno f.arpno@uncas.t Introducton Why we use models and

More information

A WELFARE-BASED MEASURE PRODUCTIVITY GROWTH WITH ENVIRONMENTAL EXTERNALITIES. Kelly Chaston* Gregory Swinand** Frank Gollop** and Richard Arnott**

A WELFARE-BASED MEASURE PRODUCTIVITY GROWTH WITH ENVIRONMENTAL EXTERNALITIES. Kelly Chaston* Gregory Swinand** Frank Gollop** and Richard Arnott** A WELFARE-BASED MEASURE OF PRODUCTIVITY GROWTH WITH ENVIRONMENTAL EXTERNALITIES Kelly Chaston* Gregory Swnand** Frank Gollop** and Rchard Arnott** September 1997 Prelmnary draft: Please do not cte or quote

More information

Test code: ME I/ME II, 2007

Test code: ME I/ME II, 2007 Test code: ME I/ME II, 007 Syllabus for ME I, 007 Matrx Algebra: Matrces and Vectors, Matrx Operatons. Permutaton and Combnaton. Calculus: Functons, Lmts, Contnuty, Dfferentaton of functons of one or more

More information

Winter 2008 CS567 Stochastic Linear/Integer Programming Guest Lecturer: Xu, Huan

Winter 2008 CS567 Stochastic Linear/Integer Programming Guest Lecturer: Xu, Huan Wnter 2008 CS567 Stochastc Lnear/Integer Programmng Guest Lecturer: Xu, Huan Class 2: More Modelng Examples 1 Capacty Expanson Capacty expanson models optmal choces of the tmng and levels of nvestments

More information

A CGE Analysis of Global Rice and Agriculture Trade Liberalisation: Welfare and Poverty Implications for Pakistan

A CGE Analysis of Global Rice and Agriculture Trade Liberalisation: Welfare and Poverty Implications for Pakistan 5 A CGE Analyss of Global Rce and Agrculture Trade Lberalsaton: Welfare and Poverty Implcatons for Pakstan Rzwana Sddqu Abstract The objectve of the research s to examne the macroeconomc, welfare and poverty

More information

Temperature. Chapter Heat Engine

Temperature. Chapter Heat Engine Chapter 3 Temperature In prevous chapters of these notes we ntroduced the Prncple of Maxmum ntropy as a technque for estmatng probablty dstrbutons consstent wth constrants. In Chapter 9 we dscussed the

More information

Idiosyncratic Investment (or Entrepreneurial) Risk in a Neoclassical Growth Model. George-Marios Angeletos. MIT and NBER

Idiosyncratic Investment (or Entrepreneurial) Risk in a Neoclassical Growth Model. George-Marios Angeletos. MIT and NBER Idosyncratc Investment (or Entrepreneural) Rsk n a Neoclasscal Growth Model George-Maros Angeletos MIT and NBER Motvaton emprcal mportance of entrepreneural or captal-ncome rsk ˆ prvate busnesses account

More information

Perfect Competition and the Nash Bargaining Solution

Perfect Competition and the Nash Bargaining Solution Perfect Competton and the Nash Barganng Soluton Renhard John Department of Economcs Unversty of Bonn Adenauerallee 24-42 53113 Bonn, Germany emal: rohn@un-bonn.de May 2005 Abstract For a lnear exchange

More information

x i1 =1 for all i (the constant ).

x i1 =1 for all i (the constant ). Chapter 5 The Multple Regresson Model Consder an economc model where the dependent varable s a functon of K explanatory varables. The economc model has the form: y = f ( x,x,..., ) xk Approxmate ths by

More information

Household Size, Economies of Scale and Public Goods in Consumption: A Proposal to resolve the Food Share Paradox

Household Size, Economies of Scale and Public Goods in Consumption: A Proposal to resolve the Food Share Paradox 1 Household Sze, Economes of Scale and Publc Goods n Consumpton: A Proposal to resolve the Food Share Paradox Ferdoon Kooh-Kamal 2014* ferdoon.kooh@emory.edu, Department of Economcs, Emory Unversty 1602

More information

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers Psychology 282 Lecture #24 Outlne Regresson Dagnostcs: Outlers In an earler lecture we studed the statstcal assumptons underlyng the regresson model, ncludng the followng ponts: Formal statement of assumptons.

More information

Chapter 3 Describing Data Using Numerical Measures

Chapter 3 Describing Data Using Numerical Measures Chapter 3 Student Lecture Notes 3-1 Chapter 3 Descrbng Data Usng Numercal Measures Fall 2006 Fundamentals of Busness Statstcs 1 Chapter Goals To establsh the usefulness of summary measures of data. The

More information

Regulation No. 117 (Tyres rolling noise and wet grip adhesion) Proposal for amendments to ECE/TRANS/WP.29/GRB/2010/3

Regulation No. 117 (Tyres rolling noise and wet grip adhesion) Proposal for amendments to ECE/TRANS/WP.29/GRB/2010/3 Transmtted by the expert from France Informal Document No. GRB-51-14 (67 th GRB, 15 17 February 2010, agenda tem 7) Regulaton No. 117 (Tyres rollng nose and wet grp adheson) Proposal for amendments to

More information

Linear Regression Analysis: Terminology and Notation

Linear Regression Analysis: Terminology and Notation ECON 35* -- Secton : Basc Concepts of Regresson Analyss (Page ) Lnear Regresson Analyss: Termnology and Notaton Consder the generc verson of the smple (two-varable) lnear regresson model. It s represented

More information

Economics 101. Lecture 4 - Equilibrium and Efficiency

Economics 101. Lecture 4 - Equilibrium and Efficiency Economcs 0 Lecture 4 - Equlbrum and Effcency Intro As dscussed n the prevous lecture, we wll now move from an envronment where we looed at consumers mang decsons n solaton to analyzng economes full of

More information

/ n ) are compared. The logic is: if the two

/ n ) are compared. The logic is: if the two STAT C141, Sprng 2005 Lecture 13 Two sample tests One sample tests: examples of goodness of ft tests, where we are testng whether our data supports predctons. Two sample tests: called as tests of ndependence

More information

CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE

CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE Analytcal soluton s usually not possble when exctaton vares arbtrarly wth tme or f the system s nonlnear. Such problems can be solved by numercal tmesteppng

More information

Problem Set 3. 1 Offshoring as a Rybzcynski Effect. Economics 245 Fall 2011 International Trade

Problem Set 3. 1 Offshoring as a Rybzcynski Effect. Economics 245 Fall 2011 International Trade Due: Thu, December 1, 2011 Instructor: Marc-Andreas Muendler E-mal: muendler@ucsd.edu Economcs 245 Fall 2011 Internatonal Trade Problem Set 3 November 15, 2011 1 Offshorng as a Rybzcynsk Effect There are

More information

A PROCEDURE FOR SIMULATING THE NONLINEAR CONDUCTION HEAT TRANSFER IN A BODY WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY.

A PROCEDURE FOR SIMULATING THE NONLINEAR CONDUCTION HEAT TRANSFER IN A BODY WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY. Proceedngs of the th Brazlan Congress of Thermal Scences and Engneerng -- ENCIT 006 Braz. Soc. of Mechancal Scences and Engneerng -- ABCM, Curtba, Brazl,- Dec. 5-8, 006 A PROCEDURE FOR SIMULATING THE NONLINEAR

More information

Turbulence classification of load data by the frequency and severity of wind gusts. Oscar Moñux, DEWI GmbH Kevin Bleibler, DEWI GmbH

Turbulence classification of load data by the frequency and severity of wind gusts. Oscar Moñux, DEWI GmbH Kevin Bleibler, DEWI GmbH Turbulence classfcaton of load data by the frequency and severty of wnd gusts Introducton Oscar Moñux, DEWI GmbH Kevn Blebler, DEWI GmbH Durng the wnd turbne developng process, one of the most mportant

More information

Online Appendix to: Axiomatization and measurement of Quasi-hyperbolic Discounting

Online Appendix to: Axiomatization and measurement of Quasi-hyperbolic Discounting Onlne Appendx to: Axomatzaton and measurement of Quas-hyperbolc Dscountng José Lus Montel Olea Tomasz Strzaleck 1 Sample Selecton As dscussed before our ntal sample conssts of two groups of subjects. Group

More information

More metrics on cartesian products

More metrics on cartesian products More metrcs on cartesan products If (X, d ) are metrc spaces for 1 n, then n Secton II4 of the lecture notes we defned three metrcs on X whose underlyng topologes are the product topology The purpose of

More information

Productivity and Reallocation

Productivity and Reallocation Productvty and Reallocaton Motvaton Recent studes hghlght role of reallocaton for productvty growth. Market economes exhbt: Large pace of output and nput reallocaton wth substantal role for entry/ext.

More information

Module 9. Lecture 6. Duality in Assignment Problems

Module 9. Lecture 6. Duality in Assignment Problems Module 9 1 Lecture 6 Dualty n Assgnment Problems In ths lecture we attempt to answer few other mportant questons posed n earler lecture for (AP) and see how some of them can be explaned through the concept

More information

Boostrapaggregating (Bagging)

Boostrapaggregating (Bagging) Boostrapaggregatng (Baggng) An ensemble meta-algorthm desgned to mprove the stablty and accuracy of machne learnng algorthms Can be used n both regresson and classfcaton Reduces varance and helps to avod

More information

Chapter 9: Statistical Inference and the Relationship between Two Variables

Chapter 9: Statistical Inference and the Relationship between Two Variables Chapter 9: Statstcal Inference and the Relatonshp between Two Varables Key Words The Regresson Model The Sample Regresson Equaton The Pearson Correlaton Coeffcent Learnng Outcomes After studyng ths chapter,

More information

Bilateral Trade Flows and Nontraded Goods

Bilateral Trade Flows and Nontraded Goods The Emprcal Economcs Letters, 7(5): (May 008) ISSN 1681 8997 Blateral Trade Flows and Nontraded Goods Yh-mng Ln Department of Appled Economcs, Natonal Chay Unversty. 580 Snmn Road, Chay, 600, Tawan Emal:

More information

University of California, Davis Date: June 22, 2009 Department of Agricultural and Resource Economics. PRELIMINARY EXAMINATION FOR THE Ph.D.

University of California, Davis Date: June 22, 2009 Department of Agricultural and Resource Economics. PRELIMINARY EXAMINATION FOR THE Ph.D. Unversty of Calforna, Davs Date: June 22, 29 Department of Agrcultural and Resource Economcs Department of Economcs Tme: 5 hours Mcroeconomcs Readng Tme: 2 mnutes PRELIMIARY EXAMIATIO FOR THE Ph.D. DEGREE

More information

Linear Approximation with Regularization and Moving Least Squares

Linear Approximation with Regularization and Moving Least Squares Lnear Approxmaton wth Regularzaton and Movng Least Squares Igor Grešovn May 007 Revson 4.6 (Revson : March 004). 5 4 3 0.5 3 3.5 4 Contents: Lnear Fttng...4. Weghted Least Squares n Functon Approxmaton...

More information

General Purpose Technologies (GPTs) and their Relevance to ICTs; Trade 4/3/2009 & Growth Implications by Iordanis Petsas

General Purpose Technologies (GPTs) and their Relevance to ICTs; Trade 4/3/2009 & Growth Implications by Iordanis Petsas General Purpose Technologes (GPTs and ther Relevance to ICTs; Trade and Growth Implcatons Presented at CITI, Columba Busness School March 2009 By Unversty of Scranton and Baruch College (CUNY Introducton

More information

Department of Statistics University of Toronto STA305H1S / 1004 HS Design and Analysis of Experiments Term Test - Winter Solution

Department of Statistics University of Toronto STA305H1S / 1004 HS Design and Analysis of Experiments Term Test - Winter Solution Department of Statstcs Unversty of Toronto STA35HS / HS Desgn and Analyss of Experments Term Test - Wnter - Soluton February, Last Name: Frst Name: Student Number: Instructons: Tme: hours. Ads: a non-programmable

More information

Norm Bounds for a Transformed Activity Level. Vector in Sraffian Systems: A Dual Exercise

Norm Bounds for a Transformed Activity Level. Vector in Sraffian Systems: A Dual Exercise ppled Mathematcal Scences, Vol. 4, 200, no. 60, 2955-296 Norm Bounds for a ransformed ctvty Level Vector n Sraffan Systems: Dual Exercse Nkolaos Rodousaks Department of Publc dmnstraton, Panteon Unversty

More information

Chapter 13: Multiple Regression

Chapter 13: Multiple Regression Chapter 13: Multple Regresson 13.1 Developng the multple-regresson Model The general model can be descrbed as: It smplfes for two ndependent varables: The sample ft parameter b 0, b 1, and b are used to

More information

1 The Sidrauski model

1 The Sidrauski model The Sdrausk model There are many ways to brng money nto the macroeconomc debate. Among the fundamental ssues n economcs the treatment of money s probably the LESS satsfactory and there s very lttle agreement

More information

Chapter 2 - The Simple Linear Regression Model S =0. e i is a random error. S β2 β. This is a minimization problem. Solution is a calculus exercise.

Chapter 2 - The Simple Linear Regression Model S =0. e i is a random error. S β2 β. This is a minimization problem. Solution is a calculus exercise. Chapter - The Smple Lnear Regresson Model The lnear regresson equaton s: where y + = β + β e for =,..., y and are observable varables e s a random error How can an estmaton rule be constructed for the

More information

III. Econometric Methodology Regression Analysis

III. Econometric Methodology Regression Analysis Page Econ07 Appled Econometrcs Topc : An Overvew of Regresson Analyss (Studenmund, Chapter ) I. The Nature and Scope of Econometrcs. Lot s of defntons of econometrcs. Nobel Prze Commttee Paul Samuelson,

More information

This column is a continuation of our previous column

This column is a continuation of our previous column Comparson of Goodness of Ft Statstcs for Lnear Regresson, Part II The authors contnue ther dscusson of the correlaton coeffcent n developng a calbraton for quanttatve analyss. Jerome Workman Jr. and Howard

More information

3.1 Expectation of Functions of Several Random Variables. )' be a k-dimensional discrete or continuous random vector, with joint PMF p (, E X E X1 E X

3.1 Expectation of Functions of Several Random Variables. )' be a k-dimensional discrete or continuous random vector, with joint PMF p (, E X E X1 E X Statstcs 1: Probablty Theory II 37 3 EPECTATION OF SEVERAL RANDOM VARIABLES As n Probablty Theory I, the nterest n most stuatons les not on the actual dstrbuton of a random vector, but rather on a number

More information

Comparative Advantage and Optimal Trade Taxes

Comparative Advantage and Optimal Trade Taxes Comparatve Advantage and Optmal Trade Taxes Arnaud Costnot (MIT), Dave Donaldson (MIT), Jonathan Vogel (Columba) and Iván Wernng (MIT) June 2014 Motvaton Two central questons... 1. Why do natons trade?

More information

Supporting Information for: Two Monetary Models with Alternating Markets

Supporting Information for: Two Monetary Models with Alternating Markets Supportng Informaton for: Two Monetary Models wth Alternatng Markets Gabrele Camera Chapman Unversty & Unversty of Basel YL Chen St. Lous Fed November 2015 1 Optmal choces n the CIA model On date t, gven

More information

Negative Binomial Regression

Negative Binomial Regression STATGRAPHICS Rev. 9/16/2013 Negatve Bnomal Regresson Summary... 1 Data Input... 3 Statstcal Model... 3 Analyss Summary... 4 Analyss Optons... 7 Plot of Ftted Model... 8 Observed Versus Predcted... 10 Predctons...

More information

NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS

NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS IJRRAS 8 (3 September 011 www.arpapress.com/volumes/vol8issue3/ijrras_8_3_08.pdf NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS H.O. Bakodah Dept. of Mathematc

More information

NUMERICAL DIFFERENTIATION

NUMERICAL DIFFERENTIATION NUMERICAL DIFFERENTIATION 1 Introducton Dfferentaton s a method to compute the rate at whch a dependent output y changes wth respect to the change n the ndependent nput x. Ths rate of change s called the

More information

Supporting Materials for: Two Monetary Models with Alternating Markets

Supporting Materials for: Two Monetary Models with Alternating Markets Supportng Materals for: Two Monetary Models wth Alternatng Markets Gabrele Camera Chapman Unversty Unversty of Basel YL Chen Federal Reserve Bank of St. Lous 1 Optmal choces n the CIA model On date t,

More information

Lecture Note 3. Eshelby s Inclusion II

Lecture Note 3. Eshelby s Inclusion II ME340B Elastcty of Mcroscopc Structures Stanford Unversty Wnter 004 Lecture Note 3. Eshelby s Incluson II Chrs Wenberger and We Ca c All rghts reserved January 6, 004 Contents 1 Incluson energy n an nfnte

More information

10. Canonical Transformations Michael Fowler

10. Canonical Transformations Michael Fowler 10. Canoncal Transformatons Mchael Fowler Pont Transformatons It s clear that Lagrange s equatons are correct for any reasonable choce of parameters labelng the system confguraton. Let s call our frst

More information

Equilibrium with Complete Markets. Instructor: Dmytro Hryshko

Equilibrium with Complete Markets. Instructor: Dmytro Hryshko Equlbrum wth Complete Markets Instructor: Dmytro Hryshko 1 / 33 Readngs Ljungqvst and Sargent. Recursve Macroeconomc Theory. MIT Press. Chapter 8. 2 / 33 Equlbrum n pure exchange, nfnte horzon economes,

More information

SIMULATION OF WAVE PROPAGATION IN AN HETEROGENEOUS ELASTIC ROD

SIMULATION OF WAVE PROPAGATION IN AN HETEROGENEOUS ELASTIC ROD SIMUATION OF WAVE POPAGATION IN AN HETEOGENEOUS EASTIC OD ogéro M Saldanha da Gama Unversdade do Estado do o de Janero ua Sào Francsco Xaver 54, sala 5 A 559-9, o de Janero, Brasl e-mal: rsgama@domancombr

More information

RELIABILITY ASSESSMENT

RELIABILITY ASSESSMENT CHAPTER Rsk Analyss n Engneerng and Economcs RELIABILITY ASSESSMENT A. J. Clark School of Engneerng Department of Cvl and Envronmental Engneerng 4a CHAPMAN HALL/CRC Rsk Analyss for Engneerng Department

More information

Annexes. EC.1. Cycle-base move illustration. EC.2. Problem Instances

Annexes. EC.1. Cycle-base move illustration. EC.2. Problem Instances ec Annexes Ths Annex frst llustrates a cycle-based move n the dynamc-block generaton tabu search. It then dsplays the characterstcs of the nstance sets, followed by detaled results of the parametercalbraton

More information

k t+1 + c t A t k t, t=0

k t+1 + c t A t k t, t=0 Macro II (UC3M, MA/PhD Econ) Professor: Matthas Kredler Fnal Exam 6 May 208 You have 50 mnutes to complete the exam There are 80 ponts n total The exam has 4 pages If somethng n the queston s unclear,

More information

The decomposition of inequality and poverty

The decomposition of inequality and poverty The decomposton of nequalty and poverty THE DECOMPOSITIO OF THE FGT IDEX The FGT poverty ndex for a populaton composed of K groups can be wrtten as follows: P(z;α) = K φ(k)p(k; z; α) k = where P(k;z; α

More information

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur Module 3 LOSSY IMAGE COMPRESSION SYSTEMS Verson ECE IIT, Kharagpur Lesson 6 Theory of Quantzaton Verson ECE IIT, Kharagpur Instructonal Objectves At the end of ths lesson, the students should be able to:

More information

A Robust Method for Calculating the Correlation Coefficient

A Robust Method for Calculating the Correlation Coefficient A Robust Method for Calculatng the Correlaton Coeffcent E.B. Nven and C. V. Deutsch Relatonshps between prmary and secondary data are frequently quantfed usng the correlaton coeffcent; however, the tradtonal

More information

Endogenous timing in a mixed oligopoly consisting of a single public firm and foreign competitors. Abstract

Endogenous timing in a mixed oligopoly consisting of a single public firm and foreign competitors. Abstract Endogenous tmng n a mxed olgopoly consstng o a sngle publc rm and oregn compettors Yuanzhu Lu Chna Economcs and Management Academy, Central Unversty o Fnance and Economcs Abstract We nvestgate endogenous

More information

Copyright (C) 2008 David K. Levine This document is an open textbook; you can redistribute it and/or modify it under the terms of the Creative

Copyright (C) 2008 David K. Levine This document is an open textbook; you can redistribute it and/or modify it under the terms of the Creative Copyrght (C) 008 Davd K. Levne Ths document s an open textbook; you can redstrbute t and/or modfy t under the terms of the Creatve Commons Attrbuton Lcense. Compettve Equlbrum wth Pure Exchange n traders

More information

PHYS 705: Classical Mechanics. Calculus of Variations II

PHYS 705: Classical Mechanics. Calculus of Variations II 1 PHYS 705: Classcal Mechancs Calculus of Varatons II 2 Calculus of Varatons: Generalzaton (no constrant yet) Suppose now that F depends on several dependent varables : We need to fnd such that has a statonary

More information

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results.

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results. Neural Networks : Dervaton compled by Alvn Wan from Professor Jtendra Malk s lecture Ths type of computaton s called deep learnng and s the most popular method for many problems, such as computer vson

More information

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity LINEAR REGRESSION ANALYSIS MODULE IX Lecture - 30 Multcollnearty Dr. Shalabh Department of Mathematcs and Statstcs Indan Insttute of Technology Kanpur 2 Remedes for multcollnearty Varous technques have

More information

Second Order Analysis

Second Order Analysis Second Order Analyss In the prevous classes we looked at a method that determnes the load correspondng to a state of bfurcaton equlbrum of a perfect frame by egenvalye analyss The system was assumed to

More information

SIMPLE LINEAR REGRESSION

SIMPLE LINEAR REGRESSION Smple Lnear Regresson and Correlaton Introducton Prevousl, our attenton has been focused on one varable whch we desgnated b x. Frequentl, t s desrable to learn somethng about the relatonshp between two

More information

THE DOHA DEVELOPMENT AGENDA AND BRAZIL: DISTRIBUTIONAL. Brazil has one of the worst patterns of income distribution in the world.

THE DOHA DEVELOPMENT AGENDA AND BRAZIL: DISTRIBUTIONAL. Brazil has one of the worst patterns of income distribution in the world. 1 THE DOHA DEVELOPMENT AGENDA AND BRAZIL: DISTRIBUTIONAL IMPACTS Joaquim Bento de Souza Ferreira Filho and Mark Horridge Introduction Brazil has one of the worst patterns of income distribution in the

More information

Transfer Functions. Convenient representation of a linear, dynamic model. A transfer function (TF) relates one input and one output: ( ) system

Transfer Functions. Convenient representation of a linear, dynamic model. A transfer function (TF) relates one input and one output: ( ) system Transfer Functons Convenent representaton of a lnear, dynamc model. A transfer functon (TF) relates one nput and one output: x t X s y t system Y s The followng termnology s used: x y nput output forcng

More information

In the figure below, the point d indicates the location of the consumer that is under competition. Transportation costs are given by td.

In the figure below, the point d indicates the location of the consumer that is under competition. Transportation costs are given by td. UC Berkeley Economcs 11 Sprng 006 Prof. Joseph Farrell / GSI: Jenny Shanefelter Problem Set # - Suggested Solutons. 1.. In ths problem, we are extendng the usual Hotellng lne so that now t runs from [-a,

More information

Chapter 5 Multilevel Models

Chapter 5 Multilevel Models Chapter 5 Multlevel Models 5.1 Cross-sectonal multlevel models 5.1.1 Two-level models 5.1.2 Multple level models 5.1.3 Multple level modelng n other felds 5.2 Longtudnal multlevel models 5.2.1 Two-level

More information

Econ107 Applied Econometrics Topic 9: Heteroskedasticity (Studenmund, Chapter 10)

Econ107 Applied Econometrics Topic 9: Heteroskedasticity (Studenmund, Chapter 10) I. Defnton and Problems Econ7 Appled Econometrcs Topc 9: Heteroskedastcty (Studenmund, Chapter ) We now relax another classcal assumpton. Ths s a problem that arses often wth cross sectons of ndvduals,

More information

ECONOMICS 351*-A Mid-Term Exam -- Fall Term 2000 Page 1 of 13 pages. QUEEN'S UNIVERSITY AT KINGSTON Department of Economics

ECONOMICS 351*-A Mid-Term Exam -- Fall Term 2000 Page 1 of 13 pages. QUEEN'S UNIVERSITY AT KINGSTON Department of Economics ECOOMICS 35*-A Md-Term Exam -- Fall Term 000 Page of 3 pages QUEE'S UIVERSITY AT KIGSTO Department of Economcs ECOOMICS 35* - Secton A Introductory Econometrcs Fall Term 000 MID-TERM EAM ASWERS MG Abbott

More information

Market structure and Innovation

Market structure and Innovation Market structure and Innovaton Ths presentaton s based on the paper Market structure and Innovaton authored by Glenn C. Loury, publshed n The Quarterly Journal of Economcs, Vol. 93, No.3 ( Aug 1979) I.

More information

Introduction to Vapor/Liquid Equilibrium, part 2. Raoult s Law:

Introduction to Vapor/Liquid Equilibrium, part 2. Raoult s Law: CE304, Sprng 2004 Lecture 4 Introducton to Vapor/Lqud Equlbrum, part 2 Raoult s Law: The smplest model that allows us do VLE calculatons s obtaned when we assume that the vapor phase s an deal gas, and

More information

Limited Dependent Variables

Limited Dependent Variables Lmted Dependent Varables. What f the left-hand sde varable s not a contnuous thng spread from mnus nfnty to plus nfnty? That s, gven a model = f (, β, ε, where a. s bounded below at zero, such as wages

More information

STATISTICS QUESTIONS. Step by Step Solutions.

STATISTICS QUESTIONS. Step by Step Solutions. STATISTICS QUESTIONS Step by Step Solutons www.mathcracker.com 9//016 Problem 1: A researcher s nterested n the effects of famly sze on delnquency for a group of offenders and examnes famles wth one to

More information