Samhällsekonomiska effekter av långvariga trafikavbrott
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(2) LiU-ITN-TEK-A--11/050--SE. Samhällsekonomiska effekter av långvariga trafikavbrott Examensarbete utfört i Transportsystem vid Tekniska högskolan vid Linköpings universitet. Martin Röcklinger Examinator Clas Rydergren Norrköping 2011-08-19.
(3) Upphovsrätt Detta dokument hålls tillgängligt på Internet – eller dess framtida ersättare – under en längre tid från publiceringsdatum under förutsättning att inga extraordinära omständigheter uppstår. Tillgång till dokumentet innebär tillstånd för var och en att läsa, ladda ner, skriva ut enstaka kopior för enskilt bruk och att använda det oförändrat för ickekommersiell forskning och för undervisning. Överföring av upphovsrätten vid en senare tidpunkt kan inte upphäva detta tillstånd. All annan användning av dokumentet kräver upphovsmannens medgivande. För att garantera äktheten, säkerheten och tillgängligheten finns det lösningar av teknisk och administrativ art. Upphovsmannens ideella rätt innefattar rätt att bli nämnd som upphovsman i den omfattning som god sed kräver vid användning av dokumentet på ovan beskrivna sätt samt skydd mot att dokumentet ändras eller presenteras i sådan form eller i sådant sammanhang som är kränkande för upphovsmannens litterära eller konstnärliga anseende eller egenart. För ytterligare information om Linköping University Electronic Press se förlagets hemsida http://www.ep.liu.se/ Copyright The publishers will keep this document online on the Internet - or its possible replacement - for a considerable time from the date of publication barring exceptional circumstances. The online availability of the document implies a permanent permission for anyone to read, to download, to print out single copies for your own use and to use it unchanged for any non-commercial research and educational purpose. Subsequent transfers of copyright cannot revoke this permission. All other uses of the document are conditional on the consent of the copyright owner. The publisher has taken technical and administrative measures to assure authenticity, security and accessibility. According to intellectual property law the author has the right to be mentioned when his/her work is accessed as described above and to be protected against infringement. For additional information about the Linköping University Electronic Press and its procedures for publication and for assurance of document integrity, please refer to its WWW home page: http://www.ep.liu.se/. © Martin Röcklinger.
(4) . ^ĂŵŵĂŶĨĂƩŶŝŶŐ
(5) Dž ϐDž Ǒ ϐ Ǒ Ǥ Dž ǡ ϐDž ϐDž Dž Dž Dž ǤDž Dž Dž Ǒ Dž ǡ Dž Ǒ Dž Dž Ǥ ǡ ǡ Ǒ Dž Dž Dž Dž Dž Dž Ǥ
(6) Dž ͣ͢ǡDž Dž Dž Dž ǡǑ ͣ͢ ȀDž ǡǑ Dž Dž Dž Dž Dž Ǥ Ǒ Dž Dž Dž Dž Ǒ Dž ϐǤ Ǒ ǡ Dž Dž ǤǑ Dž Dž ǡǑ Ǒ Ǒ Dž Ǒ Ǒ Dž Dž ǤϐDž Ǒ Ǒ ǡDž Dž Ǥ Dž Ǒ Dž Ǒ Dž Dž ǡDž Ǒ Ǥ Dž ϐDž Ǒ Dž ǡDž Dž Dž Dž Ǥ Dž Dž Dž Ǒ Dž Dž ǡDž Ǒ Dž Dž Ǥ Dž Dž Ǒ Ǒ Ǒ Ǒ ǡ Dž Ǒ ǡDž Dž Dž Ǒ Dž Ǒ Dž Dž Ǥ Dž ͣ͢ ͢͞͞Ǒ Ǥ Dž Dž Ǒ Ǥ . .
(7) ďƐƚƌĂĐƚ ǯ ϐ Ǥǡϐ Ǥ ϐ Ǥ ǡ Dž Dž Ǥ ǡ
(8) ǡ ϐ Dž Dž Ǥ ͣ͢ǡͣ͢ȀDž Ǥ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ϐ ǡ ǡ Ǥ ϐ ǡ Ǥǡϐ Ǥ ǡ ǡ Ǥ Ǥǡ ǯ ͣ͢͢͞͞ Ǥ . .
(9) . &ƂƌŽƌĚ Dž -‐ Ǒ Dž Dž Ǥ Dž Ǒ ȋ
(10) ȌϐǤDž ϐ
(11) Dž Ǥ Dž Dž Dž ϐ Ǒ Ǒ Ǒ Ǥ Dž Ǒ ǡ ǡ -‐ ǡ ϐǤ Dž Dž Dž Dž Ǒ Ǒ Ǒ Dž Ǒ Ǥ dž Ǒ
(12) ϐ Ǥ ǒ Ǒ ϐDž ǒ Dž Ǥ -‐Dž Ǒ
(13) Ǒ Dž Ǥ Ǒ ǡ ǡ Dž Ǒ Ǒ Dž Dž Ǒ Dž Ǒ Ǥdž Dž Dž Ǥ . .
(14) /ŶŶĞŚĊůů υ͘ .
(15) ................................................................................................................................................................................ͣ ͟Ǥ͟Ǥ ............................................................................................................................................................ ͟ ͟Ǥ͠Ǥ ...................................................................................................................................................................... ͟ ͟Ǥ͡Ǥ ................................................................................................................................................................... ͠ ͟Ǥ͢Ǥ Dž .................................................................................................................................................. ͠ ͟ǤͣǤ ......................................................................................................................................................... ͠ . φ͘ . ϔ ..........................................................................................................................................ͥ ͠Ǥ͟Ǥ ............................................................................................................................. ͡ ͠Ǥ͠Ǥ ........................................................................................................................................... ͣ ͠Ǥ͡Ǥ .................................................................................................................................................. ͤ ͠Ǥ͢Ǥ Dž ................................................................................................................... ͥ . χ͘ . ............................................................................................................................................ ͣ͢ ͡Ǥ͟Ǥ ...................................................................................................................................... ͟͟ ͡Ǥ͟Ǥ͟Ǥ ...................................................................................................... ͟͠ ͡Ǥ͟Ǥ͠Ǥ ..................................................................................................... ͣ͟ . ψ͘ . .................................................................................................................................................................... ͣͨ ͢Ǥ͟Ǥ ............................................................................................................................................................ ͤ͟ ͢Ǥ͟Ǥ͟Ǥ Ǒ ...................................................................................................................................... ͤ͟ ͢Ǥ͟Ǥ͠Ǥ ......................................................................................................................................... ͦ͟ ͢Ǥ͠Ǥ .................................................................................................................................................................... ͧ͟ ͢Ǥ͡Ǥ .............................................................................................................................................................. ͧ͟ . ω͘ . ............................................................................................................................................................................. ͤ͢ ͣǤ͟Ǥ ............................................................................................................................................. ͠͞ ͣǤ͟Ǥ͟Ǥ ǣDž ................................................................................................................... ͠͠ ͣǤ͟Ǥ͠Ǥ ǣ ................................................................................................................... ͠͡ ǣdž Dž ........................................................................................................................ ͠͡ ͣǤ͟Ǥ͡Ǥ ͣǤ͟Ǥ͢Ǥ ǣ ..................................................................................................................... ͠͡ ͣǤ͟ǤͣǤ ǣ Dž .................................................................................................................................. ͢͠ ͣǤ͟ǤͤǤ ǣ .................................................................................................................................. ͢͠ . ϊ͘ . ........................................................................................................................................................... ͤͧ ͤǤ͟Ǥ ........................................................................................................................................ ͣ͠ ͤǤ͟Ǥ͟Ǥ
(16) ...................................................................................................................................................... ͣ͠ ͤǤ͟Ǥ͠Ǥ Dž Dž ..................................................................................................................... ͥ͠ ͤǤ͟Ǥ͡Ǥ -‐ ...................................................................................................................................... ͡͡ ͤǤ͟Ǥ͢Ǥ ............................................................................................................. ͤ͡ ͤǤ͠Ǥ Dž ............................................................................................................... ͥ͡ ͤǤ͠Ǥ͟Ǥ ........................................................................................................................................................... ͥ͡ ͤǤ͠Ǥ͠Ǥ ..................................................................................................................................................... ͧ͡ . .
(17) ϋ͘ . ................................................................................................................................................................................ ͦ͢ ͥǤ͟Ǥ Ǒ .................................................................................................................... ͢͟ ͥǤ͠Ǥ ϐ ............................................................................................................... ͢͢ . ό͘ . ................................................................................................................................................................................ ͦͨ ͦǤ͟Ǥ Dž Dž .......................................................................................................................... ͥ͢ ͦǤ͟Ǥ͟Ǥ Ȁǡ ........................................................................................................................... ͥ͢ ͦǤ͟Ǥ͠Ǥ ǡdž Dž ......................................................................................................................... ͣ͟ ͦǤ͟Ǥ͡Ǥ ǡ ...................................................................................................................... ͣͣ ͦǤ͟Ǥ͢Ǥ ǡ Dž .................................................................................................................................. ͣͧ ͦǤ͟ǤͣǤ ǡ .................................................................................................................................. ͤ͠ ͦǤ͠Ǥ Dž .......................................................................................................................................... ͤͣ ͦǤ͡Ǥ Dž ȂDž Dž ............................................................................... ͤͤ . ύ͘ . ............................................................................................................................................. ͨͪ ͧǤ͟Ǥ .................................................................................................................................... ͤͧ .
(18) Ǥ . ¡ÚϔÚ....................................................................................................................... .
(19)
(20) Ǥ . ¡ǡ .............................................................................................. .
(21)
(22)
(23) Ǥ . . ϔÚÚ ................................................................................................... .
(24) &ŝŐƵƌĞƌ ͠Ǥ͟ǣ-‐Ǥ ................................................................................................................................ ͢ ͠Ǥ͠ǣǤDž ǣȋͥ͠͞͞Ȍ ................................................................................... ͤ ͡Ǥ͟ǣ
(25) ǤDž ǣȋͥ͠͞͞Ȍ ............................... ͟͞ ͡Ǥ͠ǣǤDž ǣȋͥ͠͞͞Ȍ ..................................................................... ͟͟ ͡Ǥ͡ǣDž Dž Dž Dž ǡDž Dž ǡǑ Dž Ǥ ...................................................................................................................................................... ͟͠ ͡ǤͣǣDž ǤDž ǣ ȋǑ Dž Ȍ ................................................................................................................................................................................... ͟͡ ͡Ǥ͢ǣDž Ǒ Dž ϐǤ Dž Ǥ͟͡ ͢Ǥ͟ǣ Ǒ ȀϐDž -‐ Dž Dž Ǥ Dž ǣȋͧ͠͞͞Ȍ ................................................................................................................................................... ͥ͟ ͣǤ͟ǣ Dž Dž Dž Ǒ Ǥ Dž ǣ Ǒ Dž ...................................................................................................................................................................... ͟͠ ͣǤ͠ǣDž ǡ ǤDž ǣǑ Dž ............................... ͠͠ ͣǤ͡ǣDž ǤDž ǣǑ Dž .................................... ͠͡ ͣǤ͢ǣDž ǤDž ǣǑ Dž ..................................... ͢͠ ͤǤ͟ǣǡ ǒ Dž Ǥ ......................... ͣ͠ ͤǤ͠ǣDž Dž Ǒ ͠͞͠͞Ǥ ............................................................................... ͤ͠ ͤǤ͡ǣDž Dž Ǒ ͠͞͠͞Ǥ ................................................................................ ͤ͠ ͤǤ͢ǣ Dž Dž Ǥ Ǒ ϐDž Ǥ ............................................................................................................................................................................... ͥ͠ ͤǤͣǣ ϐDž Ǥ Ǒ ϐDž Ǥ .................................................................................................................................................. ͦ͠ ͤǤͤǣ Dž Dž ϐϐDž Dž ȀǤ ......................................................... ͧ͠ ͤǤͥǣ Dž Dž ϐϐDž Dž Ǥ ............................................................... ͡͞ ͤǤͦǣ Dž Dž ϐϐDž Dž Ǥ .............................................................. ͟͡ ͤǤͧǣ Dž Dž ϐϐDž Dž Ǥ ............................................................... ͡͠ ͤǤ͟͞ǣ Dž Dž ϐϐDž Dž Ǥ ............................................................ ͡͡ .
(26) ͤǤ͟͟ǣ-‐Dž Ǥ-‐ Ǥ .............................................................................................................................................................................. ͢͡ ͤǤ͟͠ǣ -‐Dž Ǒ ϐDž Ǥ ........................................................................ ͢͡ ͤǤ͟͡ǣ -‐Dž Ǒ ϐ͟͟͞-‐Dž ͥ͟Ǥ................................................... ͤ͡ ͤǤ͟͢ǣDž Dž Ǥ .......................................................................................................................................... ͥ͡ ͤǤͣ͟ǣ -‐ϐDž Dž ǡ ǡ Ǥ Dž ϐDž Ǥ ............................................................................................................................................................................... ͦ͡ ͦǤ͟ǣȋDž ȌDž Ǥ ................................. ͢͠ ͦǤ͠ǣ Ǒ Dž Dž Ǒ Dž Dž Ǥ ................................................................................................................................................. ͢͡ ͧǤ͟ǣϐ ȋDž Ȍ Ǥ ....................................................................... ͤ͢ ͧǤ͠ǣǑ ̶̶ȋDž Ȍ̶Dž ̶Ǥ ....................................................... ͥ͢ ͧǤ͡ǣ Dž Dž ȀǤ .................................................................................................. ͦ͢ ͧǤ͢ǣDž Dž ȀǤ ....................................................................... ͣ͟ ͧǤͣǣDž Ǒ Dž ȀǤ ........................................................ ͣ͟ ͧǤͤǣ Dž Dž Ǥ ........................................................................................................ ͣ͠ ͧǤͥǣDž Dž Ǥ ............................................................................ ͣ͢ ͧǤͦǣDž Ǒ Dž Ǥ .............................................................. ͣͣ ͧǤͧǣ Dž Dž Ǥ ....................................................................................................... ͣͤ ͧǤ͟͞ǣDž Dž Ǥ ......................................................................... ͣͦ ͧǤ͟͟ǣDž Ǒ Dž Ǥ ........................................................... ͣͦ ͧǤ͟͠ǣ Dž Dž Ǥ ..................................................................................................... ͣͧ ͧǤ͟͡ǣDž Dž Ǥ .......................................................................... ͤ͟ ͧǤ͟͢ǣDž Ǒ Dž Ǥ ........................................................... ͤ͠ ͧǤͣ͟ǣ Dž Dž Ǥ ..................................................................................................... ͤ͠ ͧǤͤ͟ǣDž Dž Ǥ .......................................................................... ͤͣ ͧǤͥ͟ǣDž Ǒ Dž Ǥ ........................................................... ͤͣ ͧǤͦ͟ǣDž Dž ͟͞͞Ǒ Dž Ǥ................................. ͤͤ ͧǤͧ͟ǣϐϐDž Dž ȋDž Ȍ Ǥ ............................... ͤͤ .
(27) ͧǤ͠͞ǣDž ͣ͞ΨDž Ǒ Dž Ǥ ......................... ͤͥ . .
(28) . dĂďĞůůĞƌ ͢Ǥ͟ǣDž ǤDž ǣǑ
(29) ȋͧ͠͞͞Ȍ ................................................................................................................................................................................................ ͥ͟ ͤǤ͟ǣDž ͟͞͞-‐Ǥ .......................................................... ͦ͡ ͤǤ͠ǣDž Ǒ Ǥ ......................................................................................... ͧ͡ ͧǤ͟ǣǑ Dž ȀǤ ..................................................................................................................... ͥ͢ ͧǤ͠ǣ Ȁ͟Ǥ ............................................................................................. ͧ͢ ͧǤ͡ǣǒ ȀDž Dž Ǥ ...................................................................... ͧ͢ ͧǤ͢ǣ Ȁ͠Ǥ ............................................................................................. ͣ͞ ͧǤͣǣ Ȁ͡Ǥ ............................................................................................. ͣ͞ ͧǤͤǣǑ Dž Ǥ ........................................................................................................................... ͣ͟ ͧǤͥǣ ͟Ǥ ................................................................................................... ͣ͠ ͧǤͦǣǒ Dž Dž Ǥ ............................................................................ ͣ͡ ͧǤͧǣ ͠Ǥ ................................................................................................... ͣ͡ ͧǤ͟͞ǣ ͡Ǥ ................................................................................................ ͣ͢ ͧǤ͟͟ǣǑ Dž Ǥ ........................................................................................................................ ͣͣ ͧǤ͟͠ǣDž ͟Ǥ ........................................................................................... ͣͤ ͧǤ͟͡ǣ Dž Dž Dž Dž Ǥ ....................................................................... ͣͤ ͧǤ͟͢ǣDž ͠Ǥ ........................................................................................... ͣͥ ͧǤͣ͟ǣDž ͡Ǥ ........................................................................................... ͣͥ ͧǤͤ͟ǣǑ Dž Ǥ ........................................................................................................................ ͣͧ ͧǤͥ͟ǣDž ͟Ǥ ............................................................................................ ͤ͞ ͧǤͦ͟ǣ Dž Dž Dž Dž Ǥ ....................................................................... ͤ͞ ͧǤͧ͟ǣ ͠Ǥ ................................................................................................ ͤ͞ ͧǤ͠͞ǣ ͡Ǥ ................................................................................................ ͤ͟ ͧǤ͟͠ǣǑ Dž Ǥ......................................................................................................................... ͤ͠ ͧǤ͠͠ǣ Dž ͟Ǥ .......................................................................... ͤ͡ . .
(30) ͧǤ͠͡ǣ Dž Dž Dž Dž Ǥ ........................................................................ ͤ͡ ͧǤ͢͠ǣǑ Ǒ ǡ Ǥ .................................................................... ͤ͢ ͧǤͣ͠ǣǑ Ǒ ǡ Ǥ ....................................................................... ͤ͢ ͟͞Ǥ͟ǣ Dž Ǥ ........................................................................... ͤͧ . .
(31) . &ƂƌŬŽƌƚŶŝŶŐĂƌ Ú
(32)
(33) . . ϔ -‐ ǒ ǒ . . Dž Dž Dž Ǒ Dž ȋϐȌ Ǒ -‐ Dž Dž Dž Dž Dž -‐ ϐ Dž ǡDž Dž -‐ ǒ ǒ Dž .
(34)
(35) . υ͘ /ŶůĞĚŶŝŶŐ ϐ Dž Dž Ǥ ϐ ǡ -‐ Dž Dž Dž ϐǡDž Dž Dž ǡǑ Dž Ǥ Dž Ǒ Dž Dž Dž Ǒ Ǣ Ǒ Ǒ Dž ϐ Ǒ Ǥ Dž ǡ ǡDž Dž Ǒ Ǒ Dž ǣǡDž Dž Ǒ ǡDž Ǥ dž Dž Dž Dž Ǒ Dž Ǒ Ǥ ϐ Dž ǡ Dž ϐ Dž Ǒ Dž Ǒ Ǥ Dž Ǥ
(36) Dž ϐ Ǒ Dž Dž Ǥ Dž Dž Dž Dž Ǥ . υ͘υ͘. ĂŬŐƌƵŶĚ . Dž ȋ
(37) Ȍ Dž Dž Dž Dž Dž Dž ǡ Dž Dž Dž ȋ-‐ Ǒ ǡ ͤ͠͞͞ȌǤ ȋ
(38) Ȍ Ǒ Dž Dž Dž ȓȓͦͦ͢͠͞͞ȔȔǤDž Dž Ǒ ǡ ͧ͠͞͞-‐͟͟͠͞ǡ Dž Dž Dž ϐ Dž Dž Ǥ Dž Dž Dž
(39) Dž Dž Ǥ Dž ǡ Dž Dž Ǒ Dž ǡDž Ǒ ǡǑ Ǒ Dž -‐ Dž Dž ϐǑ Ǥ Ǒ Ǒ ϐ Dž ǡ Dž Dž Dž ȋȌǡ ϐ Ǥ
(40) Dž Dž Ǥ Dž ϐǡ Dž Dž Dž Dž ϐǑ Dž Ǥ . υ͘φ͘. ^LJŌĞ . Dž Dž ϐDž Ǒ Ǒ -‐ Dž Dž Ǥ Dž Dž Dž Dž Dž Ǥ .
(41) . . ͟ .
(42) υ͘χ͘. DĞƚŽĚ . Dž Ǒ Ǒ ǣ ǡ ϐ Dž ǡ ϐ Dž Dž Dž Ǥ Ǒ Ǒ Dž Ǒ Dž Dž Ǒ ͟͠͞͞ ͟͠͞͠ ȋ
(43) ǡ ͧ͠͞͞ȌǤ ϐ Dž Dž Dž Ǥ Dž Dž Dž ǡ Dž Dž Ǒ Dž Ǒ Dž Dž Ǥ dž Dž Ǒ Dž ǡ Ǒ ǡDž Ǥ Ǒ Ǒ Ǒ ǡ Dž Ǥ Dž Dž Dž Ǒ Dž Ǥ . υ͘ψ͘. ǀŐƌćŶƐŶŝŶŐĂƌ . Dž Dž ǡDž Dž Ǒ Dž Dž Ǥ-‐ Dž Ǒ Dž Ǥ Dž Dž Dž Dž Dž Ǒ Dž ϐDž Ǥ Ǒ Dž Dž Dž Dž Ǒ Dž Dž -‐ ϐǤ ϐ Ǒ Dž Dž Ǒ Dž ǡϐǑ Ǒ Ǥ Dž ϐ Ǒ Dž Dž ϐ Dž ǡǑ Dž Dž Dž ǤDž Ǒ Dž Dž Dž ǡǑ Dž Ǒ Ǥ . υ͘ω͘. ŝƐƉŽƐŝƟŽŶ . Dž Dž ϐ ͠ǡ ϔ Ǥ Dž Dž ͡ǡ ǡ ͢ǡ Ǥ Dž Dž ͣǡ ǡ Dž ͤǡ Ǥ
(44) ͥǡ ǡ Ǒ Ǥ Dž Ǒ ͦǡǤͧǡ Ǥ . ͠ . .
(45) .
(46) . φ͘ dƌĂĮŬĂŶĂůLJƐŽĐŚƉƌŽŐŶŽƐĞƌ ϐ Dž ϐ ϐ Dž ǤDž Ǥϐ Dž Dž Ǒ ϐ Dž ϔǤ ϐ Ǒ Ǒ Dž Dž Dž ǡϐ Ǒ Ȃ ȂDž Dž Dž Dž Dž Dž ǤǑ ǡ Dž Dž Dž Ǒ Dž Ǒ ϐDž Ǥ
(47) ϐ Dž Dž Dž ¡Ú ȋ Ȍ Dž Dž ǡ Dž Dž Dž ϐ Ǥ Dž Dž ȋȌǤ Dž ȋȌǤ
(48) Dž ȋȌǡǑ ϐǡ ǡ Ǣ Dž Ǒ Dž ϐ -‐ Ǒ Ǥ ϐDž Ǒ Ǒ Ǥ Ǒ Ǒ ϐDž Ǒ Ǒ Ǥ ϐ Dž Dž ǡ Dž ǡ Ǒ Dž ϐDž ǤǑ Dž Dž Dž Dž Dž Ǒ Dž Dž Ǒ ǡǑ Dž ǡ Ǒ Dž Ǒ Ǒ Ǒ Ǥ Dž Ǒ Dž Dž Dž ǡ Dž Dž Ǒ Ǥ ϐ Dž Ǒ -‐ Ǥ . φ͘υ͘. DĂŬƌŽĂŶĂůLJƐĞŶƐŐƌƵŶĚĞƌ . ϐDž Ǒ ǣ ¡ǡ Dž Dž Ǣ ǡ Dž Ǣ ǡ -‐ Ǒ Dž ϐǤ Dž Dž Dž Dž Dž Ǒ Dž Dž Dž ǤDž Dž Dž ϐDž Ǥ dž Dž Dž Dž ϔÚ1ǡDž ǡ Ǥ Dž ǡ Ǒ ǣ Ǒ Dž Dž ϐDž Dž Dž 1ϐϐDž ǡϐDž Dž Dž . Ǥ . ϐ . . ͡ .
(49) Ǒ ǡ ϐDž Ǒ Dž ϐDž Ǥ Dž Dž Dž Ǒ Dž Ǥ ϐDž Dž Dž Ǒ Dž -‐ ȋ-‐ ȌǤ Dž dzDž Dž dzǡǑ Dž ϐDž Dž Dž ǡdzdzǡǑ Ǒ ϐDž Dž Dž Ǥ Ǒ -‐ ϐ ͠Ǥ͟Ǥ Ǒ Dž ϐDž Dž Dž Ǒ ǡ Dž ϐDž Dž Dž Dž Dž ϐDž Ǒ -‐ ǤDž Dž Dž ǡ Ǒ Dž Ǒ Dž Dž Dž Ǒ Dž dzdzǤ Dž Dž Dž Dž -‐ Ǥ . ͤǤͣǣ-‐Ǥ . Ǒ Ǒ Ǒ ǡ -‐ ȋǤ -‐Ȍǡ Ǒ Dž Ǥ Dž ǡ ǡ ǡ Ǥ ሺ݅ǡ ݆ሻǡDž ݅Dž ݆Dž ǡDž -‐Ǥ Dž ϐDž Ǒ Dž ¡¡ǡDž Ǥ
(50) Dž Dž Dž ǡ Dž Dž Ǥ Dž ϐ Dž Dž Dž Dž Dž Ǥ Dž Dž Ǒ ǤDž Ǒ ǡDž Dž Dž Ǥ Dž Dž Ǒ Ǒ ϐǑ Dž Dž Dž -‐Dž ǡ Dž Dž ǤǑ Dž ǡ ϐ Dž Dž Dž Ǥ ȋȌǡDž Dž Ǥ ͢ . . ϐ .
(51) Dž Dž Dž Dž ¡¡Ǥ Ǒ Dž ϐǑ ǡ Dž Dž Dž Dž ǤDž Dž Ǒ Dž Ǒ ϐȂDž Dž -‐ Ȃ Dž ȋ ͠Ǥ͡ȌǤ Ǒ Ǒ Ǒ Dž Dž Dž Ǒ Dž Dž Ǥ Dž Dž Dž ϐ Dž Ǒ ϐDž Ǥ . φ͘φ͘. &LJƌƐƚĞŐƐŵŽĚĞůůĞŶ . Ǒ Dž Ǒ Dž ǡǑ ϐ Dž ǡ Dž Ǒ ǤǑ Ǒ Ǒ Dž Ǥ Dž ϐ ϐ Dž Ǒ ǡ Ǒ Ǒ Dž Dž ǡ ǡ Dž Ǥ ϐǑ Dž Dž ƴ Ǒ ǤDž Ǒ Ǒ Ǒ ϐDž Ȃ Ǒ Ȃ Ǒ ϐDž Dž Ǥ Dž Ǒ ϐ ǡ Dž Dž Ǒ ǤDž Ǒ ȋϐ͠Ǥ͠ȌDž Dž Ǒ Ǒ Dž ϐDž Dž Dž Ǒ Ǥ Dž Dž Dž Ǒ ǡDž Dž Dž Dž Dž Ǥ ϐDž Dž Ǒ Dž Dž Ǒ Dž Dž Dž Ǒ ǡ Dž Dž Ǒ Ǒ Dž Dž Ǥ Ǒ Dž Dž Ǒ Dž Ǥ ϐDž ǡDž ǡ Ǒ Dž Dž Ǒ Ǒ ǤϐDž Dž Dž ϐDž Dž ȋ
(52) ǡͧ͠͞͞ȌǤ . ϐ . . ͣ .
(53) ͤǤͤǣǤ¡ǣȋͥ͠͞͞Ȍ . Ǒ Dž ǡ ǡ -‐ Dž -‐ Ǥ
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