The long-run effect of cigarette taxes on smoking: evidence from the Canadian Community Health Survey Mahmood Zarrabi1 and M. Christopher Auld2 Prepared for the CEA conference at Vancouver, BC June 2008 Abstract Smoking control policies are legitimate if they effectively reduce the smoking rate of the population. It is argued that if a smoking control policy prevents youths from smoking, it will reduce the smoking rate of the population in the long run. We test this argument using a sample of 95,000 individuals from the Canadian Community Health Survey. We exploit dramatic changes in cigarette taxes across the Canadian provinces, particularly increased in tobacco taxes in 1991-1994 and the tax discrepancy across the provinces since then, and examine the effect of cigarette taxes encountered at youth on probability of smoking and smoking intensity among adults aged 19-40. We found cigarette taxes encountered at youth have very weak effects on likelihood of smoking and smoking intensity of respondents in adulthood, and the effects attenuated by late 20s. Using simulation method, we find counter factual 50 percent increase in cigarette taxes at youth would reduce the proportion of the smokers aged 20-29 years by roughly 2 percent. 1 PhD candidate, department of economics at the University of Calgary; gmzarrab@ucalgary.ca Associate professor, department of economics at the University of Calgary; auld@ucalgary.ca We thank the Statistics Canada for providing the data of this research. 2 1. Introduction Prevalence of cigarette smoking among youths and adults has been a research object over the last few decades. However, less effort has been taken to identify and quantify the relationship between youth and adult smoking. Becker and Murphy (1988) argue smoking addiction requires current smoking to be correlated to past smoking. On the other hand, the relationship between youth and adult smoking might be mapped through the effect of an unobservable factor that persistently affects smoking behavior of individuals over time. Assuming smoking is mainly affected by an unobservable factor rather than to be derived by the addictive characteristic of smoking, discouraging youths from smoking may result in smoking initiation to be postponed without a substantial effect on the smoking rate of the population. Regardless which theory, however, explains better the inter-temporal correlation of smoking, it is important for policy implication to quantify the long run effects of smoking control policies that target youths to reduce the smoking rate of the population. This paper examines the effect of cigarette taxes encountered at youth on smoking behavior in adulthood. We are interested to test the effect of cigarette taxes because among different policies prevail in most of the developed countries such as tobacco taxes, clean indoor air laws, restriction on cigarette use for the youth and health warnings, there is a universal agreement that cigarette tax is more effective policy to control smoking (Warner, Chaloupka et al. ,1995). Particularly, we are concerned about the long run effect of cigarette taxes because many studies conclude most of the smokers started smoking at youth, cigarette tax reduces smoking initiation among youths, and youth smoking is 2 more price sensitive than adult smoking3, so they mainly conclude preventing youths from smoking will reduce the smoking rate of the population. In addition, dramatic raise in cigarette taxes in Canada in 1991-1994 and the tax discrepancy across the Canadian provinces since then, besides the CCHS data recovering years 2001-2005, provide us a sample of adolescents and adults who faced disproportion cigarette taxes as youths, and this suits us to verify the long run effect of cigarette taxes on smoking. Empirical studies concerning the contemporaneous effect of cigarette taxes conclude cigarette demand is inelastic with estimated elasticities in the range -0.5 to -0.7 among youths and in the range 0-0.25 among adults (Chaloupka and Warner, 2000; Evans et al., 1999). In this paper, we examine the long ran youth cigarette tax elasticity of adult smoking. We use data on a sample of individuals from the Canadian Community Health Survey (CCHS) cycles 2001, 2003, and 2005. We count for entire cigarette taxes encountered at youth using average of cigarette taxes at age 14, 14-16, or 12-18 Canadian youths faced in 1979-2004. Linear probability model, ordered-probit, and OLS regressions are employed to examine the long run effect of youth cigarette taxes on probability of smoking, smoking intensity, and smoking type of respondents aged 19-40 years in 2001-2005. We found a weak but significant long term effect for cigarette taxes in which 10 percent increase in average cigarette taxes at age 12-18 will reduce probability of smoking in adulthood by 1 percent. Also, cigarette taxes encountered in early life slightly reduces smoking intensity of smokers. Moreover, we found the effect of cigarette taxes encountered at youth attenuated by early adulthood. 3 Lewit, Coate, and Grossman (1981); Evans and Huang (1998); Harris and Chan (1999); Tauras and Chaloupka (1999); Cawley, Markowitz, and Tauras (2004) 3 2. Related literature The long-term effects of policies encountered early in life are often of policy and academic interest. For instant, the effect of early initiation on adolescent smoking (Auld, 2005), the log run effect of youth tobacco control (Glied, 2002), the long term effect of minimum wage on onset labor market outcome (Neumark and Nizalova, 2004), the long term effect of legalizing abortion on crime rate (Donohue and Levitt, 2001), and the long term effect of youth unemployment (Moraz and Savage, 2001). Most of literature of cigarette tax effect is related to the contemporaneous effect of cigarette tax/price on smoking initiation and cigarette consumption. Foster and Jones (1999) using retrospective data find higher taxes are associated with later initiation. Chaloupka and Wechsler (1997) predict 75 percent price increase in a pack of cigarette would reduce number of smokers of ages 18 through 24 years by over 1.2 millions. Warner et al. (1995) conclude that increase in cigarette price is the most effective policy to influence smoking of groups of people for whom education has been less effective. They conclude (p.386) “… value of increased taxation in discouraging children from becoming addicted to nicotine was potentially the most powerful argument supporting increased taxes”. Gruber and Koszegi (2000) show if smoking decision is timeinconsistent, then prohibiting youth from smoking may make them better off in later life. In contrast, Douglas and Hariharan (1994) and Douglas (1998) find that current cigarette prices are uncorrelated with smoking initiation. Only a few researchers have studied the causal effect of past price on current smoking. Auld (2005) uses a dynamic structural model to decompose youth smoking pattern over time into the correlation of smoking over time (addiction) and an 4 unobservable heterogeneous effect of smoking intensity. He considers smoking at age 14 as an endogenous treatment on subsequent smoking. Using the Youth Smoking Survey of Canada and using an endogenous switching binary response regression, he finds smoking is highly addictive for all respondents, but for those whom were observed initiated early is less addictive. He concludes a smoking control policy would reduce smoking rate of the population if it could deter smoking initiation of early initiators, but not by a large magnitude. Glied (2002) uses cross-cohort correlation to examine the effect of smoking at age 21 on smoking at age 30 and 40, she also uses longitudinal analysis to test the effect of cigarette tax at age 14 on overall smoking behavior, quitting behavior, or initiation behavior. She finds for every smoker at age 21 there will be 3/4 smoker at age 30 and 0.55 smoker at age 40. Glied extracts advantages of the National Longitudinal Survey of Youth (NLSY79) in the U.S. by observing actual cigarette taxes respondents faced at age 14 and changes in smoking behavior of respondents over time, and finds cigarette tax at age 14 has substantial effect on contemporaneous smoking, but the effect attenuated by adulthood. She concludes difference in cigarette taxes respondents faced at age 14 has no effect on their smoking behavior by age 40. Laux (2000) argues that those who faced high taxes in youth may be more reluctant to initiate smoking as adult, and adult smokers who faced high taxes as youth are likely to have begun smoking in later adolescent. In contrast, some other researchers find youth tax policy has no effect after adolescent (Orphnides and Zerovs, 1995; Survanovic et al., 1999; and Gruber and Koszegi, 2000). Decicca, Knedel, and Mathios (2002) use model of onset smoking and discrete-time hazard with state fixed effects, and find tax has no effect on onset smoking between eighth and twelfth grades. 5 3. Data 3.1 Canadian Community Health Survey This paper uses a sample of individuals in the Canadian Community Health Survey (CCHS). The CCHS is a cross-sectional survey that initially was conducted by the Statistics Canada in 2001, and has been repeated every second year. Three cycles of the data are available by now: cycles 2001, 2003, and 2005. Key advantages of using CCHS data are, first the CCHS sample sizes are very large in which they enable researchers to derive reliable estimates even from their sub-samples, e.g. this study restricts the sample to individuals who aged 19-40 years old, and also it stratifies its estimate models by gender. The CCHS sample sizes are 133300, 130700, and 128700 observations in cycles 2001, 2003, and 2005, respectively; second, tax changes in 1991-1994 provide lots of variation in cigarette taxes encountered at youth for cohort who were adolescent/adult in the CCHS cycles. The CCHS collects information on health status, health care utilization, and health determinants for the Canadian population. The CCHS operates on a two-year collection cycle. The first year of the survey cycle is a large sample designed to provide a reliable estimates at the health region level4. The second year of the survey cycle is a smaller sample and is designed to provide provincial level results on specific focused health topics. The CCHS targets persons aged 12 years old and older who are living in private dwelling. Current smoking status of a person is ascertained by a series of questions in the CCHS. A person is considered as a daily smoker if he/she smoked each day in the last 4 There are 122 health regions across the provinces and one health region per territory in Canada, this paper excludes information on the territories 6 month prior to the interview date. Number of cigarettes that a daily smoker smokes is used to measure smoking intensity. Smoking type of a respondent including never smoked, occasional smoker, or daily smoker is a discrete variable in the CCHS that takes on value zero, 1, or 2, respectively. Table 1 displays definition of the variables used in this paper and descriptive statistics. Ethnicity of a person is ascertained from a question addressing the respondent’s country of birth. Immigration status of a person is derived based on his current age and year of landing in Canada. We count only for those immigrants who landed in Canada at/prior an age at which the long run effect of cigarette tax encountered at that age is going to be estimated. For example, consider a 40 years old respondent in cycle 2005, if our model is going to estimate the effect of average cigarette taxes one faced at age 1416, a binary response variable is set to value 1 if the respondent is an immigrant who landed in/prior to year 1979 in Canada, the binary variable takes value zero if the respondent is not an immigrant or if he is an immigrant but landed in 1982 or later, otherwise we set its value missing. The missing value for this person denotes he is an immigrant who landed in Canada in a year within period 1980-81 for which a part of cigarette taxes he faced at age 14-16 is not observable to us. Similar procedure has been done for all immigrants aged 19-40 years old in the three cycles. 3.2 Cigarette Taxes in Canada Tobacco in Canada has been subject to volatile taxes over time and across the provinces. Particularly, federal government of Canada raised tobacco excise tax and duty in 1991 which in result price of a pack of 200 cigarettes rose from roughly $35 in 1990 to 7 almost $45-$50 in 1991 across the provinces. From 1984 to 1991, overall Canadian tobacco taxes had quadrupled while US taxes had increased by less than 50 percent, resulting taxes averaging about seven times the US level, and consequently, raising tobacco smuggling sailed from US-Canada borders into Canada (Studlar, 2002; p.145). Cigarette prices in Canada had remained high till 1994 when federal government reduced tobacco excise tax and duty. It was followed with reductions in retail tobacco tax among most of the eastern provinces to control cigarette smuggling. These led to almost $14 to $21 reduction in price of a pack of 200 cigarettes in Ontario, Quebec, New Brunswick, Prince Edward Island, and Novo Scotia, while price of cigarettes remain relatively high in most of the western provinces and in Newfoundland (Hamilton et al., 1997). Figure 1 displays changes in Canadian cigarette prices over time and across the provinces since 1979-2004. Abnormal increases in tobacco taxes in 1991-1994 and their rollback in 1994 and later on among the western provinces created a bulge in tobacco tax trend in Canada. The large variations of cigarette taxes in Canada, and observing sample of individuals 10 years after the bump in cigarette tax trend suit our estimations to identify the long run effect of cigarette taxes on smoking. We use three measures of taxes at youth to ensure we count for all taxes attributed to smoking behavior of youths. We estimate 1. the long run effect of cigarette tax one faced at age 14, 2. the long run effect of average cigarette taxes one faced at age 14-16, 3. and the long run effect of average cigarette taxes one faced at age 12-18. This paper uses cigarette price as a proxy of cigarette taxes. Cigarette prices are highly correlated with cigarette taxes across the provinces in which change in cigarette taxes are mainly reflected in the price changes. The cigarette taxes in Canada include 8 federal excise duty, federal excise tax, provincial tobacco tax, wholesale/retail margin, provincial sales tax, and the federal G.S.T. from which, for example, a calculation from cigarette prices and the cigarette taxes compiled by Non-Smoker’s Rights Association (2003) indicates cigarette taxes count for 80%, 76%, 68%, and 69% of cigarette prices in British Columbia, Alberta, Ontario, and Quebec in 1997, respectively. Cigarette price indexes are obtained from the Statistics Canada. We adjusted cigarette prices using provincial cigarette price indexes. The Statistics Canada has begun to collect cigarette prices at provincial level since 1979. We are able to observe cigarette taxes respondents faced as youths if we know which province they resided then, so we use a sample of individuals aged 19-40 years old in 2001-2005. For instance, a 40 years old respondent in 2005 was 14 years old in 1979, thus we can find cigarette tax he faced as a youth if we know which province he resided at age 14. Figure 1 consists of four panels displaying real cigarette price index across the provinces from 1979 to 2005, and cigarette prices Canadian adults aged 19-40 years in 2001-2005 faced as youths. 4. Econometric methods Parametric estimate models are used in this paper to examine the log run effect of cigarette taxes. The long run effect of cigarette taxes, however, may not be completely mapped by a linear function as there is 1 to 26 years lag between the tax incident and when we observe smoking behavior of respondents. To avoid biased estimations that our parametric methods impose by using linear function, we also estimate the effect of taxes using semi-parametric methods. 9 4.1 Parametric method The causal effect of cigarette taxes encountered at youth on smoking behavior in adulthood can be projected by a structural form model given as Smoking youth ,i = α + β1 Pyouth ,i + Z iγ 1 + X youth ,iγ 2 + ui (1) Smoking adult ,i = δ + β 2 Padult ,i + ϕ Smoking youth ,i + Z iη1 + X adult ,iη 2 + ε i (2) where Smoking youth ,i and Smoking adult ,i denote smoking status of person i as a youth and as an adult, respectively. Pyouth denotes cigarette price respondents faced as youth, Padult denotes cigarette price respondents faced as adult. Z is a vector of time-invariant explanatory factors may affect smoking status of a respondent including ethnicity and immigration status, X youth and X adult are vectors of time-varying factors that might explain smoking status of respectively a youth and an adult such as marital status, age, family income, education, province of residence, household size, depression, and pregnancy (for females). α and δ are intercept terms of youth and adult smoking models, respectively. ui and ε i are error terms indicating idiosyncratic effects on youth and adult smoking, respectively. Parameter ϕ estimates the causal effect of youth smoking on adult smoking. Following Becker and Murphy (1988), ϕ measures how addictive smoking is. The other notations, β1 , β 2 , γ 1 , γ 2 ,η1 , and η2 , are structural parameters of the model. Since the CCHS data does not allow us to observe the smoking status of respondents as youths, we can not estimate the structural model. We estimate a reduced form model instead. The reduced form model is derived by substituting equation model (1) into (2), and is given as 10 Smoking adult ,i = µ + β 2 Padult ,i + β 3 Pyouth ,i + Z i λ1 + X adult ,i λ2 + vi (3) where µ = δ + φα , β 3 = φβ1 , λ1 = φγ 1 + η1 , λ2 = η2 and vi = φ ui + ε i + φγ 2 X youth ,i . vi is the reduced form model’s error term that consists of X youth plus a linear combination of the idiosyncratic effects. We assume time-varying explanatory variables of youth smoking model, X youth , are not correlated with cigarettes prices. By which, these omitted variables in the reduced form do not cause endogeneity problem, and so the estimated effect of cigarette taxes is consistent and unbiased if the classical linear regression assumptions hold. The parameter of interest in the reduced form model is β 3 which estimates the causal effect of cigarette tax one faced as a youth on his smoking behavior as an adult. It consists of interaction between the causal effect of youth smoking on adult smoking and the contemporaneous effect of cigarette taxes on youth’s smoking. β 3 is zero if either smoking is not addictive and/or youth smoking is perfectly price inelastic. In estimate of the reduced form model (3), we use three different dependent variables each indicating different aspects of an individual’s smoking behavior. First we estimate the effect of cigarette tax one faced as a youth on probability of daily smoking as an adult using linear probability model. Second we employ OLS regression to estimate the effect of cigarette taxes one faced as a youth on his smoking intensity as an adult. We use smoking intensity of daily smoker respondents, and measure it as number of cigarettes a respondent usually smokes every day. Third, we employ ordered-Probit model to test the effect of cigarette taxes encountered at youth on smoking type of an adult. The CCHS groups smoking type of its respondents into three categories: daily smoker, occasional smoker, and never smoked, so dependent variable of the ordered- 11 probit model is a discrete variable taking on value zero, 1, or 2 for never-smoked, occasional smoker, and daily smoker respondent, respectively. Auld (2005) and Glied (2002) examine the effect of cigarette price a youth faced at age 14 on adolescent and adult smoking. Their findings are tied to variation of cigarette tax at age 14 among individuals in their samples, and are dependent to youths’ propensity to initiate smoking at age 14 relative to earlier or later ages. Though, cigarette taxes are highly correlated over time, but they are varying from year to year (figure 1), while hazard of youth smoking stay high over the entire teenage period. For which, we count for all cigarette taxes encountered at youth by using average cigarette taxes at age 14, 1416 and 12-18. To control the effects of all observable-influent factors of smoking behavior, a set of regressors are entered in the reduced form model; age variable is entered as a set of dummies to control the age cohort effect; family income is entered as a set of dummies indicating households with no income and households that their incomes fall within certain categories (table 1); education variable of an adult is a dummy variable indicating the highest level of education ever achieved by a respondent including less than secondary education, secondary education, some post secondary education, or university education. Moreover, we assume CCHS’s respondents had not moved across the provinces since youth. This assumption allows us to observe cigarette taxes respondents faced as youths. This assumption, at first glance, seems to be very strong, but there are two considerations which persuade us to rely on the assumption; first, although cigarette taxes in Canada have substantially varied over time, but there had not been much disparity 12 across the provinces during 1979-1994 (figure 1); second, a calculation from the National Population Health Survey in Canada shows roughly 10 percent of the respondents aged 12-40 years old in 1994 had moved across the provinces over a decade, i.e. from 1994 to 2003. Also, since cigarette prices are compatible in near by provinces, moving to a near by province is less problematic to our estimations than moving from the west to the east or vise versa. We add two more dummies to the reduced form model to control the time effects of the CCHS’s cycles. Error terms in the reduced form model are set to be clustered at provincial level because respondents who live in same province face same regulatory policies and similar environment. Furthermore, the estimate models are stratified by sex to control the gender effect, and the estimations are robust to correct the covariance matrix for heteroscedasticity problem. To reexamine Glied’s finding regarding attenuation of cigarette taxes over time, we test variation of the effect of cigarette taxes with age by modifying the reduced form model to Smoking adult ,i = µ + β 2 Padult ,i + β 3 Pyouth,i + β 4 Pyouth ,i .agei + β5 Pyouth,i .agei2 + ∑ ρ j D j + Z i λ1 + X adult ,i λ2 +ν i (4) j where age and age2 are respectively age and age-squared variables, Pi , youth .agei and Pi , youth .agei2 are their interactions with cigarette prices at youth. D j indicate five-year age group dummies including age group19-23, 24-28, 29-33, and 34-38. Other notations are similar to the equation model (3). Having run regression model (4), we test changes in the effect of cigarette taxes with age by taking derivative from equation (4) respect with youth cigarette prices 13 ∂Smoking adult ,i ∂Pyouth ,i = β3 + β 4 .agei + β5 .agei2 = 0 (5) The null hypothesis of joint signification test is H 0 : β 3 + β 4 .age + β 5 .age 2 = 0 as if age is given. 4.2 Semi-parametric model Linear probability model of equation (3) implies cigarette taxes encountered at youth to affect smoking habits of respondents in adulthood via a linear channel. This linearity assumption may cause estimated effect of cigarette taxes to be biased. For which, we use semi-parametric technique that allows cigarette taxes at youth to affect smoking behavior in adulthood through an unknown nonlinear function. Semi-parametric estimate model is given as Smoking adult ,i = f ( Pyouth ,i ) + Z i β + ε i (6) where f (.) is an unknown function with bounded derivatives, Z is a vector of all explanatory variables included in the equation model (3) but youth cigarette price, and ε i is i.i.d. mean-zero error term. It is assumed that the parametric terms are additively separable from the non-parametric term. We use the first order difference method to estimate the semi-parametric model (6), also called partial linear regression model (Yatchew, 2003; Lokshin, 2006). Moreover, we run sensitivity analysis of the non-parametric estimates to bandwidth. Since the first difference method is inefficient because the differenced error terms may 14 have an MA(1) structure, we estimate the model with the second order difference and compare the results. 5. Results This section discusses the estimates of the models defined by equations (3), (4), and (6). We group the results into four categories: First category includes parametric estimates of the effect of cigarette taxes encountered at youth on probability of smoking, smoking intensity, and smoking type of respondents in adulthood. Second category discusses variation of the effect of cigarette taxes encountered at youth with current age of respondents. Third category illustrates simulated the long run effect of cigarette taxes on the proportion of the smokers using counter factual cigarette taxes. The last category displays whether the effect of cigarette taxes encountered at youth affect smoking behavior of an adult through a linear or a non-linear channel. All the estimate models in the four categories are stratified by sex. 5.1 Parametric estimates Estimated linear probability model of the effect of cigarette taxes a youth faced at age 14, 14-16, or 12-18 on probability of smoking in adulthood is displayed in the first two columns of table 2. The estimated effects show 10 percent increase in average cigarette taxes at age 12-18 reduces probability of daily smoking in adulthood by 0.9 percent. Magnitude for the effect of average cigarette taxes at age 14-16 is the same for females, but the effect on males is very weak and insignificant. Moreover, cigarette tax at 15 age 14, as Auld (2005) and Glied (2002) find, is not a determinant factor of probability of smoking in adulthood for both genders. The estimated effect of cigarette taxes one faced as a youth on his smoking intensity as an adult is displayed in the last two columns of table 2. We use OLS regression to examine the long-run effect of cigarette taxes on smoking intensity, and find average cigarette taxes youths faced reduces their smoking intensity as adults, however average cigarette taxes at age 12-18 is more robust than average cigarette taxes at age 1416 or at age 14 for males. Contemporaneous cigarette taxes, however, are not determinant factors of adult smoking propensity and estimated sign of the coefficients mainly do not match with our expectation, while they affect adult’s smoking intensity with negative sign as we expected. Their effects on smoking intensity, however, are more robust on males than females. Table 3 displays estimated the long run effect of cigarette taxes on smoking type of a person using ordered-Probit model. The first two columns display how likely an adult who has never smoked would remain a non-smoker if she had faced one percent higher cigarette taxes at youth. We find the effect of average cigarette taxes at age 12-18 is stronger than the effect of average cigarette taxes at age 14-16 or at age 14, and also the effect is more robust on females than males. Ten percent increase in average cigarette taxes encountered at age 12-18 can increase probability of remaining a non-smoker by 0.4 percent. Columns three and four of the table display the effect of cigarette taxes encountered at youth on likelihood of occasional smoking in adulthood. The CCHS does not allow us to observe smoking status of a respondent in time prior to the interview date, 16 so if a person is found to be an occasional smoker at interview, it does not necessary mean the respondent has been an occasional smoker all the time precede to interview. Having said, we found the estimated effect of average cigarette taxes at age 12-18 is stronger than the effect of average cigarette taxes at age 14-16 or at age 14, and it is more robust on women than men. Ten percent increase in average cigarette taxes at age 12-18 reduces likelihood of occasional smoking in adulthood by 0.6 percent for females and 0.4 percent for males. Moreover, the last two columns in table 3 display the long run effect of cigarette taxes at youth on likelihood of daily smoking in adulthood. The estimated effects are consistent with the results from linear probability model in which 10 percent increase in average cigarette taxes one faced at age 12-18 reduces probability of daily smoking in adulthood by almost 1.3 percent for females and 1 percent for males. All the estimate models include depression variable as an explanatory variable, however a person’s mood may be correlated with her personality trait and so the depression variable might be correlated with our models’ error terms. If so, the correlation between depression variable and the error term causes an endogeneity problem, and as a consequence the estimated parameters are spurious. However, if an adult depression status is not correlated to cigarette taxes at youth and to concurrent cigarette taxes, then excluding the depression variable should solve the endogeneity problem. We find exclusion of depression variable does not have a substantial effect on the estimated parameters (the results are not reported for space reserving). 5.2 Change in the effect of cigarette taxes with age 17 This section discusses whether the effect of cigarette taxes attenuates over time. To do so, we investigate the joint effects of cigarette tax and its interactions with age and age-squared. The estimated parameters are displayed in table 4. Also, figure 2 illustrate variation of the effect of average cigarette taxes encountered at youth with current age of respondents in adulthood. We examine variation of the tax effect with age using the joint effects of cigarette tax plus its interactions with age and age-squared as if age is given. The estimated results show the effect of cigarette taxes encountered at youth is decreasing with age at a decreasing rate. The joint effect forms an inverse u-shape against age and is illustrated in figure 2 for female and male separately. The figure illustrates the effect of average cigarette taxes encountered at age 12-18 on likelihood of daily smoking in adulthood, and shows the effect of cigarette taxes attenuated by late 20s (the effects on smoking intensity and smoking type of respondents present a similar pattern, but are not reported for space reserving). 5.3 Simulation results As we discussed in the last two sections, average cigarette taxes encountered at youth is very weak determinant of adult smoking behavior with elasticity close to 0.1. To visualize the magnitude of the long-run effect of taxes, we simulate the proportion of daily smokers using actual and counter factual cigarette taxes. Perhaps, it is an interesting to find that what would be the proportion of the smokers if federal government of Canada had not raised cigarette taxes in 1991-1994. We simulated the proportion of the smokers using our model assuming cigarette taxes in 1991-1994 had remained constant at 1990- 18 level. The result is graphed in top panel of figure 3 that displays difference in the proportion of the smokers for both sexes using actual cigarette taxes and the counter factual cigarette taxes. It shows the difference is almost intangible. We also simulated the proportion of the smokers using counter factual 50 percent increase in cigarette taxes at youth. It is displayed in bottom panel of figure 3. The figure shows the proportion of the smokers among adults aged 20-29 years would be reduced by roughly 2 percent if they had faced 50 percent raise in cigarette taxes at age 12-18. 5.4 Semi-parametric estimates of cigarette taxes The parametric estimates of section 5.1 imply cigarette taxes encountered at youth to affect onset life smoking behavior of a person through a linear channel. To release the linearity assumption, we estimate the effect of cigarette taxes using semi-parametric estimate models. Figures 4 displays semi-parametric estimates of the effects of average cigarette taxes encountered at age 12-18, stratified by sex. The figure displays Lowess smoother estimates which are plots of weighted estimated daily smoking in adulthood against cigarette taxes encountered at youth (the estimated effects of average cigarette taxes at age 14-16 or at age 14 are not reported. Also, the effects on adults’ smoking intensity and smoking type are not reported to conserve space). The estimated effects are consistent with that of the parametric models displayed in table 2 in which average cigarette taxes at age 12-18 are slightly reducing likelihood of daily smoking in adulthood. The differencing test for parametric specification of the unknown functional form f (.) in equation model (6) signifies that cigarette taxes encountered at youth affect 19 onset life smoking behavior of a person via a non-linear channel (results are not reported). We tested the semi-parametric models using different bandwidths and found no change in the effect of cigarette taxes with change in bandwidth. Moreover, we used the second order difference method and found the results are insensitive to the order of differencing (the results are not reported). As a sample, table 5 displays estimated parameters of entire explanatory variables used in the equation models (3), (4), and (6). The table displays parametric estimates of linear probability and ordered-Probit models. 6. Conclusion This paper tests the effect of cigarette taxes one faced as a youth on his smoking behavior as an adult. We exploit dramatic changes in cigarette taxes across the Canadian provinces, particularly the increase in cigarette taxes in 1991-1994 and its discrepancy across the provinces later on. Using the CCHS cycles 2001, 2003, and 2005, we observe a cohort who are adolescents and adults in our sample and faced disproportion tobacco taxes as youths. We use parametric and semi-parametric estimate models to examine respectively linearity and non-linearity effect of cigarette taxes. We tried to quantify the long run effect cigarette taxes encountered at youth using parametric and simulation methods. We examined the long run effect of cigarette taxes on daily smoking behavior, smoking intensity, and smoking type of a person. We found a weak but significant long term effect for cigarette taxes using both parametric and semi-parametric estimates. Using parametric estimates, we found 20 probability of daily smoking in adulthood reduces by 0.9 percent if average cigarette taxes one faced at age 12-18 increases by 10 percent. Also, we found cigarette taxes encountered at youth affect smoking intensity of a person in adulthood. The long run effect of cigarette taxes at youth, as we found, attenuated by late 20s of a person’s life. A simulation method shows the proportion of the smokers would not be significantly different from what prevails now if the federal government of Canada had not raised cigarette taxes in 1991-1994. We also find, using simulation method, large changes in cigarette taxes at youth, for example 50 percent increase, will slightly affect the proportion of the smokers in adulthood. This paper finds a cigarette tax policy that is conducted to reduce the smoking rate of the population by controlling youth smoking is not as effective as what has been claimed to be. Perhaps, because there is an unobservable factor persistently affects smoking propensity of smokers, and so a youth smoking policy most likely postpones smoking initiation of youths from a time that they can not afford smoking, mainly because of low income, to later time when they have enough income to afford smoking. 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(2003) “Semiparametric Regression for Applied Econometrician”, Cambridge University Press 23 Table 1: Summary Statistics of the Canadian Community Health Survey: Respondents aged 19-40 years (Pooled cycles 2001, 2003, and 2005) Population Variables Description African Age Asian Canadian Dsmoker Depress =1 if respondent was born in Africa Age of respondents =1 if respondent was born in Asia =1 if respondent was born in Canada =1 if respondent is a daily smoker A discrete variable values from 0 to 8 indicating mood of a respondent =1 if respondent is not a subject to be asked about his/her mood =1 if highest level of education completed is less than high school =1 if highest level of education completed is high school =1 if has some post secondary education =1 if graduated from an university =1 if respondent was born in Europe =1 if respondent is female # number of people that are living in the household of respondent =1 if household has no income =1 if household’s income < 5000 =1 if hh income is between 5,000 - 9,999 =1 if hh income is between 10,000 – 14,999 =1 if hh income is between 15,000 – 19,999 =1 if hh income is between 20,000 – 29,999 =1 if hh income is between 30,000 – 39,999 =1 if hh income is between 40,000 – 49,999 =1 if hh income is between 50,000 – 59,999 =1 if hh income is between 60,000 – 79,999 =1 if household’s income >= 80,000 Ddepress Education1 Education2 Education3 Education4 European Female HHsize HH-Income1 HH-Income2 HH-Income3 HH-Income4 HH-Income5 HH-Income6 HH-Income7 HH-Income8 HH-Income9 HH-Income10 HH-Income11 Mean Female Male S.D. Mean S.D. Mean S.D. 0.008 29.42 0.04 0.89 0.25 0.088 5.77 0.21 0.31 0.43 0.007 29.38 0.043 0.89 0.24 0.084 5.69 0.203 0.31 0.42 0.009 29.48 0.044 0.89 0.27 0.093 5.85 0.21 0.31 0.45 0.65 1.85 0.81 2.05 0.47 1.52 0.37 0.48 0.37 0.48 0.37 0.48 0.11 0.31 0.09 0.29 0.12 0.33 0.19 0.11 0.59 0.03 0.54 0.39 0.32 0.49 0.18 0.5 0.18 0.11 0.62 0.03 - 0.38 0.32 0.49 0.18 - 0.21 0.11 0.56 0.03 - 0.41 0.31 0.5 0.18 - 2.89 0.004 0.013 0.032 0.05 0.062 0.11 0.12 0.11 0.14 0.16 0.21 1.36 0.065 0.11 0.17 0.21 0.24 0.31 0.32 0.32 0.34 0.36 0.41 2.97 0.004 0.014 0.038 0.06 0.07 0.11 0.12 0.11 0.13 0.15 0.19 1.34 0.063 0.12 0.19 0.24 0.26 0.31 0.33 0.31 0.34 0.34 0.39 2.79 0.005 0.011 0.024 0.033 0.051 0.098 0.12 0.12 0.14 0.24 0.24 1.38 0.07 0.1 0.15 0.18 0.22 0.3 0.32 0.32 0.35 0.43 0.43 Population Variables Description Hispanic =1 if respondent was born in the South America =1 if respondent is an immigrant who landed in Canada at age 12 or earlier =1 if respondent is an immigrant who landed in Canada at age 14 or earlier =1 if respondent is an immigrant who landed in Canada at age 14 or earlier =1 if respondent is an immigrant =1 if respondent is married or is in common law relationship # number if cigarettes a daily smoker smokes every day =1 if respondent was born in the North America but Canada Respondents aged 19-40 Contemporaneous price index of cigarette Average cigarette prices index one faced at age 12-18 Cigarette price index one faced at age 14 Average cigarette prices index one faced at age 14-16 =1 if a female respondent is pregnant =1 if province of residence is Newfoundland =1 if province of residence is Prince Edward =1 if province of residence is Nova Scotia =1 if province of residence is New Brunswick =1 if province of residence is Quebec =1 if province of residence is Ontario =1 if province of residence is Manitoba =1 if province of residence is Saskatchewan =1 if province of residence is Alberta =1 if province of residence is British Columbia Imm_P12-18 Imm_P14 Imm_P14-16 Immigrant Married Ncig_d Namerican Age Pcig Pcig_12-18 Pcig_14 Pcig_14-16 Pregnant Province1 Province2 Province3 Province4 Province5 Province6 Province7 Province8 Province9 Province10 Mean S.D. Female Male Mean S.D. Mean S.D. 0.012 0.11 0.013 0.11 0.011 0.11 0.034 0.18 0.032 0.18 0.036 0.19 0.039 0.19 0.038 0.19 0.04 0.2 0.039 0.1 0.19 0.3 0.038 0.1 0.19 0.3 0.04 0.1 0.2 0.3 0.54 0.5 0.57 0.5 0.51 0.50 14.84 7.7 13.35 7.02 16.33 8.11 0.011 29.42 1.05 0.1 5.77 0.21 0.012 29.38 1.05 0.11 5.69 0.21 0.01 29.48 1.06 0.1 5.85 0.21 0.66 0.59 0.17 0.21 0.66 0.6 0.16 0.22 0.65 0.59 0.17 0.21 0.62 0.03 0.018 0.037 0.2 0.17 0.13 0.19 0.62 0.055 0.031 0.019 0.039 0.2 0.23 0.17 0.14 0.19 0.61 0.028 0.017 0.035 0.2 0.17 0.13 0.18 0.036 0.21 0.32 0.059 0.057 0.12 0.19 0.41 0.47 0.23 0.23 0.32 0.037 0.21 0.32 0.058 0.06 0.11 0.19 0.41 0.47 0.23 0.23 0.32 0.034 0.21 0.32 0.059 0.055 0.12 0.18 0.41 0.47 0.24 0.23 0.32 0.12 0.32 0.12 0.32 0.12 0.33 25 Population Variables Description Smokt Is a discrete variable =0 if never smoked =1 if occasional smoker =2 if daily smoker =1 if cycle 2001 =1 if cycle 2003 =1 if cycle 2005 Wave1 Wave2 Wave3 Number of Observations Mean 0.67 0.07 0.26 0.31 0.33 0.36 95,408 S.D. 0.46 0.47 0.48 Female Male Mean S.D. Mean S.D. 0.69 0.07 0.24 0.32 0.33 0.36 0.46 0.47 0.48 0.65 0.08 0.27 0.31 0.33 0.36 0.46 0.48 0.33 50,684 - 44313 - 26 Table 2: The estimated effects of cigarette taxes encountered at youth on smoking propensity and smoking intensity of adults Contemporaneous price of cigarette Smoking Propensity1 Male Female 0.101 0.082 (.24) (.12) Smoking Intensity2 Male Female -0.31*** -.08 (0.1) (.095) Price of cigarette at age 14 .024 (.037) -.01 (.049) -.019 (.014) -.023* (.012) Number of observations 44,313 50,684 12,044 11,968 Contemporaneous price of cigarette 0.059 (.11) 0.11 (.24) -.31** (.098) -.072 (.1) Average price of cigarettes at age 14-16 -.01 (.03) -.092* (.054) -.006 (.017) -.034** (.017) Number of observations 44,092 50,436 12,001 11,951 *** Contemporaneous price of cigarette 0.15 (.16) -.023 (.21) -0.3 (.09) -0.023 (.11) Average price of cigarettes at age 12-18 -.092 (.06) -.093* (.052) -.047** (.024) -.031 (.027) Number of observations 37,987 43,929 10,332 10,472 * p<0.1; ** p<0.05; *** p<0.01 1. Linear probability model. Dependent variable is a binary response variable indicating an adult smoking status. 2. OLS regression. Dependent variable is number of cigarettes a daily smoker smokes every day. Standard errors are robust and clustered at provincial level. Estimated parameters using linear probability model and OLS regression are price elasticities. Figures in parenthesis are standard errors of the estimators. All regression models include immigration status, marital status, country of birth, household size, education (dummies), age (dummies), family income (dummies), province of residence (dummies), depression status, pregnancy status for female respondents, and two dummy variables indicating cycles of the CCHS data. 27 Table 3: The estimated effects of cigarette taxes encountered at youth on smoking behavior in adulthood1 Contemporaneous price of cigarette Never Smoked Male Female 0.016 0.092 (.076) (.068) Occasional Smoker Male Female -0.23 -.086 (.11) (.063) Daily Smoker Male Female -.046 -.21 (.22) (.15) Price of cigarette at age 14 -.005 (.017) 0.012 (.017) .005 (.015) -.016 (.024) 0.012 (.037) -.033 (.049) Number of observations 44,313 50,684 44,313 50,684 44,313 50,648 Contemporaneous price of cigarette 0.096 (.065) 0.007 (.075) -.089 (.06) -0.01 (.1) -.21 (.14) -0.021 (.21) Average price of cigarettes at age 14-16 0.009 (.016) 0.041** (.017) -.008 (.014) -.056** (.024) -.019 (.036) -.11** (.049) Number of observations 44,092 50,436 44,092 50,436 44,092 50,436 Contemporaneous price of cigarette 0.068 (.08) 0.056 (.07) -0.063 (.077) -0.075 (.09) -0.15 (.18) -0.15 (0.19) Average price of cigarettes at age 12-18 0.044 (.029) 0.046*** (.018) -.04 (.027) -.062*** (.024) -.097 (.065) -.127*** (.049) Number of observations 37,987 43,929 37,987 43,929 37,987 43,929 * p<0.1; ** p<0.05; *** p<0.01 1. Ordered-Probit estimates of adult’s smoking type. Standard errors are robust and clustered at provincial level. Estimated parameters are price elasticities. Figures in parenthesis are standard errors of the estimators. All regression models include immigration status, marital status, country of birth, household size, education (dummies), age (dummies), family income (dummies), province of residence (dummies), depression status, pregnancy status for female respondents, and two dummy variables indicating cycles of the CCHS data. 28 Table 4: Estimated variation of the effect of cigarette taxes at youth with current age of adults Contemporaneous Cigarette price index Cigarette price index at age 14 o Interaction of the cigarette price index with age variable o Interaction of the cigarette price index with age-squared var. Number of observations Contemporaneous Cigarette price index Average cigarette prices index at age 14-16 o Interaction of the cigarette price indexes with age variable o Interaction of the cigarette price indexes with age-squared var. Number of observations Contemporaneous Cigarette price index Average cigarette prices index at age 12-18 o Interaction of the cigarette price indexes with age variable o Interaction of the cigarette price indexes with age-squared var. Number of observations Extension of Smoking1 Male Female 0.016 0.02 (.029) (.053) -.65*** -.698*** (.122) (.189) Smoking Intensity2 Smoking Type3 Male -4.82*** (1.48) -8.31 (7.71) Female -.866 (1.37) 4.08** (1.55) .043*** .048*** (.008) (.013) 0.217 (.417) -.687*** (.104) -.001*** -.0007*** (.0001) (.0002) 0.004 (.007) .02*** (.002) -.008*** -.005*** (.001) (.0009) 44,313 50,684 0.01 0.022 (.028) (.052) -.67*** -.8*** (.11) (.19) 44,313 -4.82*** (1.51) -7.07 (5.06) 50,648 -.762 (1.34) 3.28 (2.26) 44,313 50,684 -.207** -.033 (.143) (.107) -3.95*** -2.96*** (1.02) (.677) 0.117 (.378) -.66*** (.128) 0.006 (.007) -.019*** (.002) -.007*** -.005*** (.001) (.0007) 44,092 50,436 -4.74*** -.246 (1.46) (1.4) -14.82** -2.42 (3.56) (5.39) 44,092 50,436 -.153 -.129 (.137) (.131) -5.08*** -3.92*** (1.13) (.782) .04*** (.007) .054*** (.013) -.001*** -.0009*** (.0001) (.0002) 44,092 50,436 0.035 -.008 (.042) (.046) -1.01*** -.97*** (.14) (.19) .07*** (.012) .069*** (.014) 0.72 (.41) -.173 (.273) -.001*** -.001*** (.0002) (.0002) -.007 (.007) 0.009 (.0058) 37,987 43,929 37,987 43,929 Male Female -.206* -.056 (.11) (.146) -4.73*** -2.77*** (.935) (.699) .39*** (.066) .339*** (.073) .43*** (.079) .248*** (.047) .24*** (.038) .32*** (.074) -.009*** -.007*** (.001) (.0017) 37,987 43,929 * p<0.1; ** p<0.05; *** p<0.01 1. Linear probability estimate. Dependent variable is a binary response variable indicating an adult smoking status. 2. OLS regression. Dependent variable is number of cigarettes a daily smoker smokes every day. 3. Ordered-probit model. Dependent variable is a discrete variable indicating smoking type of a respondent including never smoked, occasional smoker, or daily smoker. Standard errors are robust and clustered at provincial level. Figures in parenthesis are standard errors of the estimators. All regression models include immigration status, marital status, country of birth, household size, education (dummies), age (dummies for ordered-probit models and 5-year age cohort for the other models), 29 family income (dummies), province of residence (dummies), depression, pregnancy for female respondents, and two dummy variables for the CCHS’s cycles. Table 5: Sample of the estimated effects of explanatory variables used in this paper on smoking habits of adults Linear Probability Model1 Female Male Variables Current cigarette price Average cigarette prices at age12-18 Immigrant Married Canadian North American Hispanic European African Asian Household Size Education < secondary Education = secondary Some post secondary education University education Age 19 Age 20 Age 21 Age 22 Age 23 Age 24 Age 25 Age 26 Age 27 Age 28 Age 29 Age 30 Age 31 Age 32 Age 33 Age 34 Age 35 Age 36 Age 37 Age 38 Age 39 Age 40 Province – NF β s.e. β s.e. Ordered-Probit2 Female Male β s.e. β s.e. -.005 .047 -.034 .018 .038 .042 -.039 .025 -.108 .132 -.143 .056 -.114 .14 -.119 .081 .063 -.039 .102 .007 -.12 .021 -.131 -.082 .005 .235 .052 - .009 .004 .044 .05 .044 .05 .052 .052 .001 .02 .01 - -.012 -.032 .105 .042 -.002 .011 -.049 .005 .003 -.177 -.24 .007 .005 .038 .047 .042 .033 .04 .037 .002 .014 .026 .272 -.186 .575 .233 -.418 .31 -.51 -.32 .012 -.47 -.633 .066 .016 .197 .239 .192 .233 .249 .233 .004 .047 .058 -.002 -.133 .342 .133 .077 .358 -.182 .038 .005 -.444 -.634 .04 .016 .178 .222 .177 .184 .214 .177 .006 .037 .722 -.064 -.066 -.019 -.017 -.006 .023 .01 .014 .011 .012 .005 .01 .01 -.002 -.004 -.0002 .014 .006 .007 .017 0.3 .018 .03 .025 .033 .024 .024 .01 .018 .024 .015 .012 .02 .02 .01 .02 .015 .007 .019 .008 .012 0.004 -.31 -.083 -.058 -.032 -.029 .007 .014 .021 .032 .014 .025 .01 .014 .007 .006 -.002 .007 .01 -.009 .032 - .017 .021 .02 .019 .014 .012 .013 .014 .014 .016 .009 .02 .018 .014 .015 .013 .01 .012 .013 .016 - -.833 -.185 -.046 -.043 .018 .075 .032 .046 .036 .015 .016 .019 .004 -.057 -.055 -.052 -.009 -.054 -.049 -.079 .132 .052 .106 .084 .115 .081 .086 .064 .077 .083 .041 .056 .077 .083 .056 .064 .067 .053 .071 .04 .037 .012 -.822 -.249 -.19 -.095 -.125 -.001 .002 .041 .063 .027 .033 -.008 -.003 -.044 -.025 -.07 -.045 -.041 -.119 -.078 - .051 .049 .044 .038 .04 .028 .025 .022 .031 .035 .034 .043 .04 .042 .043 .036 .04 .042 .068 .05 - 30 Table 6 (Cont’d) Variables Province – PE Province – NS Province – NB Province – QB Province – ON Province – MN Province – SK Province – AB Province – BC Cycle 2001 Cycle 2003 Household with no income Income < 5,000 Income 5,000 - 9,999 Income 10,000 - 14,999 Income 15,000 - 19,999 Income 20,000 - 29,999 Income 30,000 - 39,999 Income 40,000 - 49,999 Income 50,000 - 59,999 Income 60,000 - 79,999 Income >= 80,000 Depression Dummy for missing values in the Depression variable Pregnant Constant R-Squared Number of obs. Linear Probability Model1 Female Male Ordered-Probit2 Female Male β s.e. β s.e. β s.e. β s.e. -.013 .015 .038 .012 -.000 .023 .014 -.032 .034 .01 -.082 .002 .004 .006 .009 .005 .005 .003 .003 .02 .006 .024 -.014 -.037 -.026 -.018 -.01 -.064 -.048 -.006 -.086 .063 .011 -.064 .002 .003 .005 .006 .008 .003 .005 .004 .004 .016 .004 .04 -.012 .032 .158 .039 .039 .106 .07 -.069 .047 .022 - .006 .012 .015 .024 .014 .015 .009 .009 .056 .019 - -.081 -.107 -.111 -.08 -.068 -.154 -.112 -.021 -.231 .051 .01 -.232 .007 .009 .015 .02 .027 .011 .016 .013 .012 .051 .014 .124 .039 .056 .016 -.02 -.043 -.088 -.1 -.11 -.14 .02 .039 .03 .02 .021 .017 .021 .018 .017 .02 .023 .001 .005 -.025 -.037 -.018 -.04 -.056 -.09 -.108 -.131 -.153 .021 .031 .023 .031 .026 .02 .028 .031 .027 .029 .002 .002 .003 .247 .329 .352 .26 .159 .092 -.033 -.084 -.132 -.232 .062 .122 .084 .127 .104 .108 .09 .106 .097 .096 .106 .11 .002 .015 -.085 -.142 -.062 -.134 -.17 -.255 -.311 -.376 -.441 .06 .093 .067 .084 .073 .064 .087 .092 .081 .085 .097 .006 .011 -.078 .22 .008 .08 .49 .047 -.41 - .043 - - - .11 43,929 - .09 37,987 - .08 43,929 - .05 37,987 - 1. Dependent variable is a binary response variable indicating an adult daily smoking status. 2. Dependent variable is an index variable indicating adult’s smoking type including never smoked, occasional smoker, and daily smoker. Standard errors are robust and clustered at provincial level. 31 Figure 1: Cigarette price index over time and those the youth faced by the provinces NF PE NS NB QB ON MN SK AB BC 1980 1985 1995 1990 Year 2000 2005 R e a l c ig a re tte p ric e in d e x - b a s e y e a r = 1 9 9 2 1 .8 .6 .4 .2 30 Current Age 35 40 25 30 Current Age 35 40 Average cigarette prices by the Canadian provinces respondents aged 19-38 years in 2001-2005 faced at age 12-18 NF PE NS NB QB ON MN SK AB BC 25 NF PE NS NB QB ON MN SK AB BC 20 Average cigarette prices by the Canadian provinces respondents aged 19-40 years in 2001-2005 faced at age 14-16 20 R eal cigarette price index - base year = 1992 .2 .4 .6 .8 1 1.2 Cigarette price by the Canadian provinces respondents aged 19-40 years in 2001-2005 faced at age 14 R ea l cig are tte price in de x - ba se ye a r = 1 99 2 .4 .6 .8 1 1 .2 price in de x - ba1se yea r = 1 9912.5 0R ea l cig are tte .5 Real cigarette price indexes by the Canadian provinces since 1979-2004 NF PE NS NB QB ON MN SK AB BC 20 25 30 Current Age 35 40 32 Figure 2: Pattern of changes in the effect of cigarette taxes with age The effect on probability of smoking -.15 -.1 -.05 0 .05 The effect of cigarette taxes female respondents faced at age 12-18 and its variation with age on probability of smoking in adulthood 20 25 30 35 Current Age Confidence Interval / 95% Zero Line Point Estimation The effect on probability of smoking -.2 -.15 -.1 -.05 0 .05 The effect of cigarette taxes male respondents faced at age 12-18 and its variation with age on probability of smoking in adulthood 20 25 30 35 Current Age Confidence Interval / 95% Zero Line Point Estimation 33 Figure 3: Simulated the proportion of the smokers using actual and counter factual cigarette taxes .3 The proportion of the smokers .35 .4 .45 Simulated the proportion of the smokers by age using actual and counter factual cigarette taxes in 1991-1994 replaced with tax level in 1990 22 24 Female Smokers Male Smokers 26 Current Age 28 30 Female Smokers_Counter Factual Male Smokers_Counter Factual .3 The proportion of the smokers .35 .4 .45 Simulated the proportion of the smokers by age using actual cigarette taxes and counter factual 50 percent increase in cigarette taxes at age 12-18 22 24 Female Smokers Male Smokers 26 Current Age 28 30 Female Smokers_Counter Factual Male Smokers_Counter Factual 34 Figure 4: Lowess Smoother Estimators: plots of weighted estimated probability of smoking at age 19-38 against average cigarette taxes at age 12-18 -.5 Probability of Smoking 0 .5 1 1.5 Semi-Parametric Estimate of Average Cigarette Prices Female Respondents Faced at Age 12-18 on Probability of Smoking at Age 19-38 .4 .6 .8 1 Average Cigarette Prices at Age 12-18 1.2 bandwidth = .8 -.5 Probability of Smoking 0 .5 1 1.5 Semi-Parametric Estimate of Average Cigarette Prices Male Respondents Faced at Age 12-18 on Probability of Smoking at Age 19-38 .4 .6 .8 1 Average Cigarette Prices at Age 12-18 1.2 bandwidth = .8 35