analyzing spatial data in r roger bivand

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  • 7/31/2019 Analyzing Spatial Data in R Roger Bivand

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    Odofysjde Wpotjof Coto jd [2 Uarmlc lxoipfl2

    elastotjstjgs

    [aelr Kjvodc

    Clportildt an Lgadaijgs

    Darwlejod Wghaaf an Lgadaijgs odc Kusjdlss Ocijdjstrotjad

    Klreld& Darwoy

    7? Oueust ;005

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    Uarmlc lxoipfl2 elastotjstjgs

    Elastotjstjgs js o kjt fjml thl ofghliy an spotjof stotjstjgs&nagusslc iarl ad prlcjgtjad thod iaclf ttjde

    Wjdgl thl rlosad nar iaclffjde js ghjly prlcjgtjad jdprl)iaclf)koslc elastotjstjgs& odc ta o eaac lxtldt jd

    iaclf)koslc elastotjstjgs& wlff ofsa mllp ta jdtlrpafotjad hlrl Jdtlrpafotjad js tryjde ta ioml os eaac eulssls os passjkfl an

    thl vofuls an thl vorjokfl an jdtlrlst nar pfogls whlrl thlrl orlda akslrvotjads (god kl jd ?& ;& 7& $ $ $ cjildsjads*

    Shlsl orl koslc ad thl rlfotjvl pasjtjads an pfogls wjthakslrvotjads odc pfogls nar whjgh prlcjgtjads orl rlqujrlc& odcthl akslrvlc vofuls ot akslrvotjads

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    Elastotjstjgs pogmoels

    Shl estot pogmoel pravjcls o wjcl rodel an nudgtjads nar

    udjvorjotl odc iuftjvorjotl elastotjstjgs& ofsa nar forelrcotoslts& whjfl ela[ odc ela[efi gadtojd nudgtjads nariaclf)koslc elastotjstjgs

    O sjijfor wjcl rodel an nudgtjads js ta kl naudc jd thl lfcs

    pogmoel$ Shl spotjof pogmoel js ovojfokfl os port an thl ^[kudcfl (shjpplc wjth kosl [*& odc gadtojds slvlrof garlnudgtjads

    Shl [odcaiNjlfcs pogmoel pravjcls nudgtjads nar thlsjiufotjad odc odofysjs an rodcai lfcs$ Nar cjoedastjgs an

    vorjaerois& thl vorcjoe pogmoel god kl uslc Shl selastot pogmoel js ofsa ovojfokfl= wjthjd thl soil

    eldlrof tapjgof orlo orl thl trjpogm nar trjodeufotjad odc thlomjio pogmoel nar spfjdl jdtlrpafotjad

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    Ilusl sajf coto

    Shl Ioos rjvlr kodm sajf paffutjad coto (Fjikure& ShlDlthlrfodcs* orl soipflc ofade thl Cutgh kodm an thl rjvlrIoos (Ilusl* darth an Ioostrjght= thl coto orl thasl uslc jdKurraueh odc IgCaddlff (?::8& pp$ 70:7??*

    Shlsl orl o sukslt an thl coto pravjclc wjth estot odc sp&kut hlrl wl usl thl soil sukslt os thl vlry wlff rleorclc EJWtlxtkaam& jd gosl grass)ghlgmjde js an jdtlrlst

    Shl coto uslc hlrl orl o shoplfl doilc KIgC$shp wjth jtscoto tokfl wjth thl zjdg ppi ilosurlildts wl orl jdtlrlstlc

    jd jdtlrpafotjde& odc od OWGJJ erjc an aac nrlquldgjls nar thlport an thl rjvlr kodm wl orl jdtlrlstlc jd& ejvjde thlprlcjgtjad fagotjads

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    [locjde thl coto

    4 fjkrory(recof*4 KIgC 6) rlocAE[(+$+& +KIgC+*

    AE[ coto saurgl wjth crjvlr2 LW[J WhoplnjflWaurgl2 +$+& foylr2 +KIgC+wjth :8 raws odc ?< gafuids

    4 KIgC#Nfcn 6) nogtar(KIgC#Nfcn*4 doils(KIgC*

    ]?Y +x+ +y+ +xf+]3Y +yf+ +lflv+ +cQrjvlr+]5Y +Gc+ +Gu+ +Pk+

    ]?0Y +Rd+ +FAJ+ +Nfcn+]?7Y +Wajf+ +fjil+ +fodcusl+

    4 prab3strjde(KIgC* 6) G[W(+-jdjt9lpse2;8::;+*

    Ofthaueh recof js uslc hlrl& thlioptaafs nudgtjad rlocWhoplPajdts

    gaufc kl uslc$ Wjdgl o vorjokfl anjdtlrlst aac nrlquldgy js ogotlearjgof vorjokfl kut rloc osduilrjg& jt js slt ta nogtar

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    Akslrvlc zjdg ppi flvlfs

    Rd

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    ??7?8>$;l)?;[lsjcuofs :< :0?7> :388?

    4 lrls 6) lrrarlst(Rd ~ Nfcn& coto 9 os(KIgC& +coto$nroil+*& iaclf 9 fi&- lst$poro 9 gadtraf$lrrarlst(m 9 draw(KIgC*& rodcai 9 NOFWL&- prlcjgtjads 9 S[\L**4 raudc(lrls#lrrar& ;*

    ]?Y 7?0$53

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    Ospotjof aac nrlquldgy iaclf

    Nfaac nrlquldgy iaclf jdtlrpafotjad

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    udclr ?70

    ?70 ?

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    Shjd pfotl spfjdl jdtlrpafotjad

    Shl dlxt ottlipt usls tps nrai lfcs ta ca thjd pfotl spfjdljdtlrpafotjad& rst jd o faap ta ca FAA G^24 fjkrory(njlfcs*4 plQtps 6) duilrjg(draw(KIgC**4 gKIgC 6) gaarcjdotls(KIgC*

    4 nar (j jd slq(ofade 9 plQtps** {- tpsj 6) Sps(gKIgC])j& Y& KIgC#Rd])jY*- prj 6) prlcjgt(tpsj& gKIgC]j& & crap 9 NOFWLY*- plQtps]jY 6) KIgC#Rd]jY ) prj- }4 raudc(sqrt(ilod(plQtpsT;**& ;*

    ]?Y ;>7$>:

    4 tps 6) Sps(gaarcjdotls(KIgC*& KIgC#Rd*

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    Shjd pfotl spfjdl jdtlrpafotjad

    Shjd pfotl spfjdl iaclf

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    udclr ?70

    ?70 ?

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    Iaclffjde thl fagof siaath

    Jn wl ghaasl ta usl elastotjstjgofilthacs& wl dllc o iaclf an fagofclpldcldgl& odc gadvldtjadoffy tod lxpadldtjof iaclf ta thl zjdg

    ppi coto24 fjkrory(estot*4 gvei 6) vorjaeroi(Rd ~ ?& coto 9 KIgC&- wjcth 9 ?00& gutann 9 ?000*4 lnjttlc 6) njt$vorjaeroi(gvei&- vei(psjff 9 ?& iaclf 9 +Lxp+&- rodel 9 ?00& dueelt 9 ?**4 lnjttlc

    iaclf psjff rodel? Due ;?>

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    A cj m j j cj j

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    Arcjdory mrjejde prlcjgtjads

    Njttlc lxpadldtjof AM iaclf

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    udclr ?70

    ?70 ?

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    Arcjdory mrjejde stodcorc lrrars

    Njttlc lxpadldtjof AM stodcorc lrrars

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    udclr ;30

    ;30 ;0 ;50

    ;50 ;80

    ;80 ;:0

    ;:0 700

    700 7

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    \djvlrsof mrjejde occjde aac nrlquldgjls

    Ul mdaw thot aac nrlquldgjlsioml o cjfflrldgl god wl gaikjdlthl fagof siaath wjth thot efakofsiaath14 gvei 6) vorjaeroi(Rd ~ Nfcn&- coto 9 KIgC& wjcth 9 ?00&- gutann 9 ?000*4 ulnjttlc 6) njt$vorjaeroi(gvei&- vei(psjff 9 ?& iaclf 9 +Lxp+&- rodel 9 ?00& dueelt 9 ?**4 ulnjttlc

    iaclf psjff rodel

    ? Due 75;00 800

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    \sjde sppfat& wl god cjspfoy off thlprlcjgtjads taelthlr& ta ejvl o vjlw

    an aur praerlss24 pts 9 fjst(+sp$pajdts+& KIgC&- pgh 9 3& gaf 9 +kfogm+&- glx 9 0$

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    Lxpartjde o gaipfltlc prlcjgtjad

    Ul wjff doffy try ta lxpart thl udjvlrsof mrjejde prlcjgtjads os oElaSjff fl& odc rloc jt jdta OrgEJW$ Jd progtjgl& thjs rlqujrls usjde

    Saafkax

    [ostlr

    Gofgufotl stotjstjgs& odc thld rjeht)gfjgmjdead thl foylr2 Praplrtjls Wyikafaey Gfossjlc24 wrjtlECOF(KIgCQerjc]+\MQprlc+Y& +\MQprlc$tjn+*

    Shl lxpartlc rostlr vjlwlc jd OrgEJW

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    Shl lxpartlc rostlr vjlwlc jd OrgEJW

    Urjtjde o EL jioel avlrfoy

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    Urjtjde o EL jioel avlrfoy

    4 fjkrory(ioptaafs*4 erc 6) os$WpotjofPafyeads$WpotjofPjxlfs(KIgCQerjc*4 prab3strjde(erc* 6) G[W(prab3strjde(KIgC**4 erc$udjad 6) udjadWpotjofPafyeads(erc& rlp(+x+& fldeth(sfat(erc& +pafyeads+****4 erc$udjad$ff 6) spSrodsnari(erc$udjad& G[W(+-prab9fadefot+**4 ffE[C 6) ELQWpotjofErjc(erc$udjad$ff& ioxPjxlfs 9 ?00*4 ffE[CQjd 6) avlrfoy(ffE[C#WE& erc$udjad$ff*4 ffWPjx 6) os(WpotjofErjcCotoNroil(erjc 9 sfat(ffE[C#WE& +erjc+*& prab3strjde 9 G[W(prab3strjde(ffE[C#WE**

    - coto 9 coto$nroil(jd0 9 ffE[CQjd**& +WpotjofPjxlfsCotoNroil+*4 WPjx 6) spSrodsnari(ffWPjx& G[W(+-jdjt9lpse2;8::;+**4 z 6) prlcjgt(AMQnjt& dlwcoto 9 WPjx& clkue$flvlf 9 0*4 ffWPjx#prlc 6) z#AMQnjt$prlc4 pde(njfl 9 +zjdgQAM$pde+& wjcth 9 ffE[C#wjcth& hljeht 9 ffE[C#hljeht&- ke 9 +trodsporldt+*4 por(ior 9 g(0& 0& 0& 0*& xoxs 9 +j+& yoxs 9 +j+*4 jioel(ffWPjx& +prlc+& gaf 9 kpy$gafars(;0**4 clv$ann(*

    4 mifAvlrfoy(ffE[C& +zjdgQAM$mif+& +zjdgQAM$pde+*

    Shl jioel avlrfoy vjlwlc jd EL

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    Shl jioel avlrfoy vjlwlc jd EL

    Gadgfusjads

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    Gadgfusjads

    Shl sp gfossls god kl uslc (iarl ar flss* fjml coto nroils jdiody gadtlxts

    Shl cjspfoy ilthacs ad eldlrotlc prlcjgtjads odc stodcorclrrars god kl uslc cjrlgtfy& wjth spotjof pasjtjad kljde hodcflcwjthjd thl sp gfoss akblgts

    Eldlrotjde autput nar jdtlrnogjde wjth athlr santworl js o kjtpjgmy (Org prlnlrs sjdefl)kodc ElaSjffs& whjfl LD^J wjff cjelstiuftj)kodc fls wjth da opporldt cjsgainart*

    Odc wl orl stjff bust ot thl klejddjde an iomjde prlcjgtjads

    thlrl orl nor iarl saphjstjgotlc ilthacs aut thlrl& kut thlyofsa kldlt nrai losl an stodcorcjslc coto jipart& lxpart&odc cjspfoy