Taxes on cars and Gasoline to Control of Air Pollution: Suggested Models for Bangladesh ABSTRACT
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1 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l Ta on ar an Gaoln o Conrol o Ar Pollon: S Mol or Banla Jaal Nazrl Ila 1 Haraan Kar Moajan 2 an Jol Pal 3 ABSTRACT Pro: T an a o ar o nva o ol a wol nln ol o rv wr l an o b allr ar br ollon onrol qn an lanr l. An a a bn a o qo vl a ra o Banla. Inroon: D noloal avan on o ar ll an no b ar rlabl no o o a Povan a. Lrar rvw: Lrar rvw rval a a a n on l nn z an ollon onrol qn. A vl a n on la or a obnaon o nor a ra on aoln an nn z w a b o ollon onrol qn. Mo: wo ol w r onr oono onr an n onr or rono onr a r b no an wo a arar on or l an or or vl z. Conlon: Banla a no o on a on vl rorl; a a rl ar ollon n lar nran anrol. Daka aal o Banla on o anrol oll o worl. Son: T ovrnn o Banla ol ak a o o on a on vl aorn o ln o ar o al a on vl. JEL. Claaon: E62; H21; H23; I38; Q51; Q53; Kwor: Vl Eon Povan Ta Soal Wlar 1. INTRODUCTION In la o 20 nr an n bnnn o 21 nr ara o o worl a an an nw an own a rown ral. A a rl n vl-l ravl nra. Aan o o lro ol lk lar vl w ar nran rnal ro vl on. Eon ro vl oll ar a worn an al nn vbl an a lobal worn (Fllron an W 2002). T b wa o ar on o a vl nl an aral b no ar an ara arn nolo nvn. Aal vl on T aral rn b aor o no narl rrn vwon o or an anan o KASBIT a wll a aor n 1 Er Proor Rar Cnr or Maaal an Pal Sn Unvr o Caon Caon Banla. Pon: Aan Proor Prr Unvr Caon Banla E al: araan_k@aoo.o 3 Lrr Darn o Bn Anraon Prr Unvr Caon Banla. Cll: Eal: jol_@aoo.o Aknowln: Par wa rn n 1 Inrnaonal In Rar Conrn 2011 (1 IIRC-2011) 30 Jn 201. Aor wol lk o ank or an anono rr or r on an n n rovn ra o o arl. Aor rr wol lk o lar a anr ornal a no rvol bn bl no rrnl on or o anor blr; an wllnl ranr o r o blr o jornal. Rv: ; Rv : ; A: ; Pbl: Ta on ar an Gaoln o Conrol o Ar Pollon:. 60 B Jaal N. Ila Haraan K. Moajan an Jol Pal
2 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l n no onl on vl z an a b on qal o l annan o ar ollon onrol qn (PCE) rqn o ol ar- rar o ar o vl an arv rvn (Fllron an W 2002). Mor aoln a volal la o or vaorav on. T arbror n b nan a r on o arbon ono (CO) an roarbon (HC) b an alo nra on o o o nron (NO ). Br (1989) n a or ol a- a 5-l r a alo r on r l r a a. Srra Rar (1994) n a a ar rvn arvl a a arbon ono on ra a alo 20 r an wn rvn norall. A lk Fllron an W (2002) w nva o ol a wol nln ol o rv wr l an o b allr ar br ollon onrol qn an lanr l. In or ol w r onr oono onr an n onr or rono onr a r b no an wo a arar on or l an on or vl z. T oor an r r b rarn r vl b no b rvn l. Svn (1998) norora o o l w a on-b on a b a rqr knowl o a vl avra on r l an ara arn o l ravl. B on r l (EPM) anno b ar rl ba n on ow ar rvn. Ml anno b ar rl ba rvr an roll bak oor. T n o on a an b av ro oono an b a o nor a or b ra on o a l o l nn z vl a an PCE. Hrono an az rn l non o a av rn o abo l rvn nn z an vl a- r rn oran rnaon o on (Fllron an W 2010). Hr w rb all r o n nral nonal or an w n a r-b rqr a a nval a rn a o ra on a o ollown Fllron an W (2010) an Hol (1998). L a ar rv l o a oal on EPM an w ra a a on o on a al Povan a. T oor ll av a var o a or b on obrvabl o a aoln nn z an vl a o n nval o rv wr l o b allr ar or o ra olr ar (Fllron an W 2010). A a rl oor wll nora bn nwr ar b ovrnn ol ak o r r o nw ar. 2. MODEL FOR HOMOGENEOUS CONSUMERS W a r noraon r oon an no ark alr or an a nav rnal ro on or oono onr (Fllron an W 2002). L onr a l ono on o n nal nval a o w own on vl. Ea vl oo o o arb a a on ( a nn z l n an PCE) an or arb a o no a on ( a lar a or a nroo). Hool b aoln o rv l an oo aon ra o l-lanln. T an l ro rvn l z o vl an or oo an rv. T z o nn ar a b n o lan (CID). T onr a an or lo l ro ollon-onrol qn an r allon l lanln. Fl lanln an arb o aoln a volal or onaon. Aan ool l a b ara ao on E. T ool l non ( E ) (1) wr onno rnabl an rl qa-onav n r v arn. Ta on ar an Gaoln o Conrol o Ar Pollon:. 61 B Jaal N. Ila Haraan K. Moajan an Jol Pal
3 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l EPM ar b a ar n ovl on z an nav on PCE an lan-l arar.. ( ). Ea o ool rv l n ara on E an b wrn a; E n. (2) T l n ar n MPG an n on nn z an qan o lan-ar oo on vl... Car w larr nn lowr a la o a < 0. Conr o no ra rl b ro obnaon oo aoln () z () an lan ar oo () o a;. (3) ( ) Conr (3) wn vl z vna an ow aoln wll az l (1). T nval a or bz on onon o an. L r r allon o aoln wo an lan arar r r n o lan-l arar r allon. Tror oal r o a allon o aoln ( ) an rva o o rvn on l ( ) /. Aan r o w rrn r o an a CID o an nn r r n o lan-ar oo. For onvnn w noralz r o qal on. T nval robl o az (1) bj o b onran; ( ). (4) Hn oal lannr Laranan ; L ( E ) δ (5) ( ) wr δ arnal oal val o no. T r orr onon w oono onr or azaon ar a ollow: En δ (6a) ( ) wr brak r n (6a) oal l r o a l. Ta on ar an Gaoln o Conrol o Ar Pollon:. ( ) En δ 2 (6b) 62 B Jaal N. Ila Haraan K. Moajan an Jol Pal
4 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l wr brak r n (6b) ovrall o r n o z nln ra aon a b a or l o lowr MPG a b nrnal n o. ( ) En δ 2 (6) wr brak r n (6) ovrall o o PCE nln ra aon a b a or l o lowr MPG. En δ (6) wr brak r n (6) ovrall o r n o lan-l arar. δ. (6) T r-orr onon a a arnal oal an ro rvn anor l or ro an aonal n o or qal o arnal oal o o a. T r E on lan o (6a) o (6) rl on l o nrn o ara on ro rvn an aonal l nran vl z an PCE or lanr a. An nval all o no know a own o a ara on b a a a or b on onon o an. T ool b onran bo; ( ) ( ) ( ) ( ) ( 1 ) ( ) (7) wr a r allon o a a r n o lan-l arar a r n z a r n PCE an a r n o on. Hn ool Laranan ; L ( E) ( ) ( ) ( ) ( ) ( 1 ) ( ). (8) T r-orr onon or azaon ar a ollow: ( ) ( ) (9a) Ta on ar an Gaoln o Conrol o Ar Pollon:. 63 B Jaal N. Ila Haraan K. Moajan an Jol Pal
5 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l ( ( ) ) (9b) 2 ( ( ) ) 2 ( ) (9) an (9) ( ) 1. (9) Eon wol b alla o nr onr robl ll ro ollon a. T r r n l an lar on a allaon wol b or an. 2.1 Analal Callaon or Ta an Sb Now w ar nr o alla Povan a. T a on on rov ba n ol aan w alrnav an b oar. L all or a ra o b qal o zro.. 0. Tn (6) an (9) l δ. Now n δ n (6a) w ; En. (10) Un val o n (9a) w ; n E E E n. (11) Now w an n (11) a arnal nvronnal aa (MED) r n o on; w al Povan a an rar an zro o lon a E < 0. Hn Povan a on on b l n ool o ak all oal o abo l ar z l an PCE. Ta on ar an Gaoln o Conrol o Ar Pollon:. 64 B Jaal N. Ila Haraan K. Moajan an Jol Pal
6 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l Now w wll alla a a or a ra b zro.. 0 bo;. For obl arn o a on 0 an o all n ro (6) an (9) w δ an (9a) now. (12) Fro (10) an (12) w ; En E n ( ) ( ) (13) w rrn aonal aa a b an nra o on allon o a. Fro (13) w a a a n on l arar an on arar o vl a ( an ). Now w wll alla vl a v. I a a anno n on arar o vl n oo an ll b aan b a vl a a n on la.. ( ) v v. A bor o or a ra b zro.. 0 an o a Laranan o (8) ar o b bran a a v r vl. So a all or a ra b zro an vl a wol b a ollow: E n ( ). (14) v Aor know ar arar ( an ) an la () n (14) ro o ar on. ( ) an Povan a ra E n. W now olv ara a ra. T nq al non o abov ol ar avalabl an ovrnn an ara a ra on aoln nn z an PCE. W a a a a an b a o n on arar o l b no arar o ar. Fro (6b) an (9b) w ( ) ( ) 2 En 2 2 n E 2 Ta on ar an Gaoln o Conrol o Ar Pollon:. 65 B Jaal N. Ila Haraan K. Moajan an Jol Pal
7 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l E n. (15) Hr r r v r aa a b an nra o on n o z w ov a lon a on a l E < 0 an z a on > 0. T on r an nr ro an nr ro an aonal n o z ro on l n. An aonal n o z ra l n ool know a an nra n z o vl nn wll o an aonal a a. Aan obrv a wo oonn o z a ar oo n z o a w anno r n o. Sn E < 0 o a > 0 >. (16) W now olv PCE a ra. Fro (6) an (9) w or ( ) δ ; En δ ne ne (17) w analoo o. T r r o (17) nav o rl on aa o an a n o PCE an on r a rba o a PCE a no l n an n nav. So a alwa nav a narl a b. Sn 0 b o PCE (r n or ) an onl n onr o b an qn qal o nr rva o o PCE nln bo r o nrna. 3. MODEL FOR HETEROGENEOUS CONSUMERS an ra l o nrr o nav a In on w nro ron wn oal a ra n o r aon onr. L a arar o rrn ool rrn or l an o rrn rrn or z o ar. Tor w no arar ar jonl rb aorn o rb aorn o rbon non ( ) w ov or on[ ] [ ] [ ]. T ol wo lv r ro r work la av a an or l () b a rr r a b a rr r a lar ar or oor an a or a all ar or br a la. For ron w nor lan-ar an lan-l arar. Hn l n an on r l n onl on z an a ool nra () n o on. T oal ollon ; Ta on ar an Gaoln o Conrol o Ar Pollon:. 66 B Jaal N. Ila Haraan K. Moajan an Jol Pal
8 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l () ( ) E. (18) A ool l non ; ( ; ) E U µ (19) wr µ ool an n wlar ro aonal ollon ( U / E ). T oal lannr az a ar o oal wlar a a w o l o n ool. W v a ool l b own arnal l o no ( ). I avalabl w wan azaon o or oal wlar non o l olon o Po (1932). Sn olon ba on arnal onon a arnal nvronnal aa a o w val or a or a r-b oal o( ).Wn r-b nrn ar no avalabl w wan o b abl o n w on-b nor a ra a az a oal wlar non. To vala r a Povan qlbr an w ar alla a (1/ ). T oal wlar non ; W ( ) µ E ( ). (20) Aan oal lannr b onran;. (21) () T oal lannr robl o az wlar non bj o a ror onran o a Laranan L δ ( ) µ () ( ) ( ) ( ) (22) w r o a onr an. Ino l a rba an arnal oal val o no δ. T r-orr onon or ool ar a ollow: 1 nµ ( ) δ ( ) (23a) Ta on ar an Gaoln o Conrol o Ar Pollon:. 67 B Jaal N. Ila Haraan K. Moajan an Jol Pal
9 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l Ta on ar an Gaoln o Conrol o Ar Pollon:. B Jaal N. Ila Haraan K. Moajan an Jol Pal 68 wr on r rrn rnal o o an aonal l rvn b nval. 2 1 n δ µ (23b) wr on r rrn rnal o o an aonal n o z ra b nval. δ 1. (23) wr a qaon rrn n r-orr onon on or a nval. Alo r r n a qaon rrn nval on val o arnal l ro a oo. Now w ool robl. A ool o no n a own on a o ara on. T ool b onran ; 1. (24) Tror ool robl o az Laranan; E L µ 1. (25) w r o an. T r orr onon or azaon ar a ollow: (26a) 2 an (26b) 1. (26) 3.1 Analal Callaon or Ta
10 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l To alla Povan a w all a. Aan w δ 1 n (23a) an (26a) o qal a or. T ool varabl ro o lavn nµ Ta on ar an Gaoln o Conrol o Ar Pollon:. qal o zro.. 0 MED. (27) T r-b nor Povan a an an b o n or r-b a a. In rono- onr ol a a ollow: ( ) ( ) n. (28) µ T lar o oono onr. For oono onr a a ra r allon o aoln an oall nln a n on nval own o o ar arar rnan o on. B or rono onr oall oo rn ar z an la. Hn a a a rn ra r allon. Aor b abl o o a a on a vl a n on a r ar o ll b a ar o la n vl a b a ollow: v ( ) nµ (29) w lar o onr ol. I na r-b b a aon wol r aon rono ool. A a a a an z a an b a rn ra or rn onr b a b or a onr. Fro (23b) an (26b) w ; nµ 69 ( ) ( ) nµ nµ. (30) So a r r ol (28) o (30) ar alla abov ar no abl an ol l o a nl nor ra o a on aoln an nl nor ra o a on nn z or or vl arar. T ol av r b n oono-onr ol b no n rono-onr ol. Morovr a rar r o ron an rar vrn ro r b. For raon w now onr ow o on-b nor a ra on aoln an nn z. 4. SECOND-BEST TAES ON GASOLINE AND SIZE In on w onr lnar on b z a ra. So a w n nl nor a a ra a az oal wlar akn a vn ool an or l z an or oo an B Jaal N. Ila Haraan K. Moajan an Jol Pal an
11 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l Ta on ar an Gaoln o Conrol o Ar Pollon:. B Jaal N. Ila Haraan K. Moajan an Jol Pal 70 rv. W a a ror r ar w qvaln o azn w o nr l; E V µ ; (31) w r o an. For noralzaon w qal o zro. Fr orr- onon o (31) ar; 0 1 A V µ an (32a) 0 1 A V µ (32b) wr () ()() A (33) or. Un Ro n V (32a) bo; 0 A µ (34a) wr r r n nral rrn an n wlar ro a an n z a oln ara on onan an on r an n l o a a z a a on ara on. Aan n Ro n V (32b) bo; 0 A µ (34b)
12 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l wr r r an n wlar ro a an n a a oln ara on onan an on r an n wlar ro a a a a a on ara on. Hn a ra on z an aoln b a wa a ara arnal an n rva arnal an n rva wlar qal ara arnal lo ro on on. Hr () an () ar ajor rnan o on-b a ra. To alla on-b a w ak avra o all rn a a ra n (28) a ollow: nµ ( ) ( ) ( ) ( ) ( ) ( ) ( ) µ. (35) Aan w ak a a ra or ron w avra o n (28) bo; ( ) nµ ( ) ( ). (36) Conv o () wol an a nra n z nra on r l a an nran ra w wol ra w avra n ( ) n (35) rlav o a ra n avra z n (36). Slar rl oban or ( ). Hn r non or bo ar nl onv n o avra z o alla a a ra wol rl n a lowr a ra an on-b nor a ra. Fro (30) avra o z a ra bo; µ µ ( ). (37) Aan z a or r ron w avra o (30) bo; ( ) ( ) ( ) nµ nµ. (38) Sn bo an ar n bo qaon rn bwn avra z a ra n (37) an z a ra n avra l an z n (38) n bo on wr rrn ar orrla an on wr () or () nonlnar. For lnar an b onan n r r o no a n r (37) or (38) b on r o (38) a n <0. Aan z an l ar navl orrla wo own larr ar rv rooronal wr l an n o avra ron z a n o nra on-b z a. Fnall w an a o az oal wlar w n Ta on ar an Gaoln o Conrol o Ar Pollon:. 71 B Jaal N. Ila Haraan K. Moajan an Jol Pal
13 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l a ornv ral nvaon o nolo () an () rbon ( ) bavoral arar. 5. VEHICLE TA RATES OF BANGLADESH an Govrnn o Banla an Naonal Boar o Rvn (NBR) an rov ro o or a ollon on ran or bn nr rv n l n aon o noral a on rlvan ranaon. Fnan A 2010 arov o Saor Rlaor Orr (SRO) w wr b NBR rlvan o rv no an ar vn n abl-1 an -2. T a ra ar qo ro Ma Pro an Baaarj. (2010). Sz o vl Ta ra n Taka (Tk.) (Tk.70 $1) Moor ar o 1500 Moor ar o 2000 Moor ar n 2000 J o 2800 J n 2800 Mro b Ar onon lr b Ar onon n b Ar onon a Tabl-1: Ta on rva ar/j. Rraon ro o 10 ar (Ta ra n Tk.) Ar 10 ar o Rraon (Ta ra n Tk.) Tabl-2: Ta on ranor or r. L a on vl wll ak avana o wo ar olln ar. T vl a ol b nn on ar z; nn z an o aoln ar b oor. W o ovrnn o Banla wll ak a o o a on ar an aoln rorl o a Ta on ar an Gaoln o Conrol o Ar Pollon:. 72 B Jaal N. Ila Haraan K. Moajan an Jol Pal
14 In Jornal o Manan & Soal Sn 5(2):60-73 (Fall 2011) a.r.or///jornl.l ar ollon an b onroll n r. T ol ar w ar olln ar b rov ro roa. 6. CONCLUDING REMARKS B wo ol w av r o or a a on on. In r ol w av onr oono onr wr w av nva obnaon o a a on aoln a n onl on lanln o l a la ra o a on nn z an la ra o b o PCE an obnaon o or r b. In on ol rono onr r b no a or l an a or nn z. W ow a nn z an rvn l ar navl orrla an bo () an () ar lnar n w wol av on-b. I a or l navl orrla w a or nn z n on-b nor z a wol ra n an (z an l). Banla a no o on a on vl rorl; a a rl ar ollon n lar nran anrol. Daka aal o Banla on o anrol oll o worl. Hn ovrnn o Banla ol ak a o o on a on vl. W av r o v a ln o al a on vl o a ar wll b ll o ovrnn an nvronn anal o Banla. REFERENCES Br P T Ar Pollon-Tranoraon Lnka. Sarano CA: Sa o Calorna Ar Ror Boar O o Sra Plannn. Fllron D. an S. E. W Ta an Sb Cobnaon or Conrol o Car Pollon. NBER Workn Par No Cabr: M. A. Fllron D. an S. E. W Can Ta on Car an on Gaoln M an Unavalabl Ta on Eon?: Jornal o Envronnal Eono an Manan43: Fllron D. an S. E. W Ta an Sb Cobnaon or Conrol o Car Pollon. T Brkl Elron Jornal o Eono Anal & Pol 10(1) (Avan) Ar 8. Hol M Eon Ta vr Or Envronnal Pol. Sannavan Jornal o Eono 100(1): Ma M. M. K. K. Pro an M. K. Baaarj Taaon n Banla: Tor & Pra 8. Caon Banla: Paa Prakaan. Po A. C T Eono o Wlar 4. Lonon: Mallan & Co. Svn M Tan Aoobl Eon or Pollon Conrol. Clna U. K: Ewar Elar. Srra Rar Anal o Evn an Co-Evn o Ro Snn Dv. Ror SR Sarano C A: Srra Rar. Ta on ar an Gaoln o Conrol o Ar Pollon:. 73 B Jaal N. Ila Haraan K. Moajan an Jol Pal
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