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10/23/09
1
Speciesdistribu-onmodellinginthemarineenvironment:opportuni-es
anddangers
DerekTi:ensor11thOctober2009
QuebecCity
Outline
1.Introduc-on2.Examplesofpresence‐onlymarinemodels
3. Methods
4. WhenshouldIuseapresence‐onlymodel?
5.Challenges&Dangers
6.Conclusions
1.Introduc-on
Typesofmodel
observeddistribu-on
environmentalfactors
predicteddistribu-on+ =
Significantextradatarequirements/assump-ons
• Canbebroadlybrokendownintopresence‐onlyandpresence‐absence,bydatarequirements
P‐O
P‐A
or
Typesofdistribu-ondata Typesofdistribu-ondata
10/23/09
2
Whyusepresenceonlymodels?
Idealscenario
‐ Goodspa-alcoverage
‐ Reliableabsencedata
‐ Comparablelevelofeffortbetweencells(loca-ons)
Whyusepresenceonlymodels?
Idealscenario
‐ Goodspa-alcoverage
‐ Reliableabsencedata
‐ Comparablelevelofeffortbetweencells
Reality*
‐ Sparsedata‐ O]enpoten-alfalseabsences
‐ Frequentlynotstandardisedeffort
‐ Verydifficulttoproveabsence*Atleastinthemarinerealm
fundamentalniche:poten2altosurvive,grow,reproduce• physiologicaltolerance(abio-c)• resources(bio-c&abio-c)
realisedniche:actualsurvival,growth,reproduc-on• compe-tors,predators,parasites&pathogens(bio-c)
non‐normalresponsecurves occurrence≠op-malcondi-ons poten-allyseveralnicheconfigura-ons
Nicheconcepts Examplemodellingmethods
EnvelopeModels• BIOCLIM,DOMAIN,Mahalanobisdistance,RES/AquaMaps
CanonicalMethods• ENFA,discriminantanalysisRegressionTechniques• GLM,GAM,generalizeddissimilaritymodels,(boosted)regressiontrees,MARS
Machinelearningmethods• GARP,ar-ficialneuralnetworks,MAXENT
• Speciesdistribu-onmodellingissomewhatlessfrequentinthemarinerealm
Terrestrialvs.marine
• 84of995(<8.5%)ofSDMpapersfrom1991to2008were‘marine’(Macpherson,pers.comm.)
• Whyisthis?
‐ Samplingmorechallenging,anddatarequirementsmoredifficulttomeet?
2.Examplesofpresence‐onlymarine
models
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3
Aquamaps
Kaschneretal.(2008)
• Automa-callygeneratedmapsfor>9,000marinespecies
• Mapscanbereviewedandverifiedbyexperts
• Basedon(supplemented)environmentalenvelopes(modifiedRESmodel)
• Developedforpar-cularlydata‐poorsitua-ons
Aquamaps
Kaschneretal.(2008)
Cold‐waterstonycoralsonseamounts
• MaxentandENFA• Modelledhabitatsuitabilityfordeep‐seastonycoralsonseamounts
• Three‐dimensionalapproach
Ti:ensoretal.(2009)
500‐750mdepthlayer
Mappedtoseamountsummits
Effectsofoceanacidifica-ononcold‐watercorals:seamountrefugia
Ti:ensoretal.(inreview)
LOW HIGH
Habitatsuitability
Percen
tageofcells
Present‐day
2099
Atlan-cbenthos>30N
Atlan-cseamountsummits>30N
Presentdaybenthos
2099benthos
Impactsofclimatechangeonmarinebiodiversity
• AnotherexampleTBA
Cheungetal.(2009)• Bioclimateenvelopemodel
3.Methods
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4
BIOCLIM
• requiresonlypresence• rec-linearenvelope
doesnotcopewellwithcollinearityorinterac-onsamongpredictors
• h:p://www.diva‐gis.org/
presence environment
environmentalpredictor
cumula-
ve
presen
ce
e.g.Farber&Kadmon2003EcologicalModelling160:115‐130
RES/AquaMaps
RES:Kaschneretal.(2006)Aquamaps:Kaschneretal.(2008)
Slide:J.Ready
• Trapezoidalresponsecurve
• Developedspecificallyformarineenvironmentanddata
DOMAIN
• requiresonlypresence• ellip-cenvelope
Mahalanobisdistance:D2=(x–m)TC‐1(x–m)NB:assumesnormality
• Rbase:mahalanobis()
e.g.Carpenteretal.1993Biodiversity&Cons.2:667‐680
Mahalanobisdistance
e.g.Corsietal.1999Conserva-onBiology13:150‐159
• requiresonlypresence• point‐similarityenvelope
Gowermetric:
• h:p://www.diva‐gis.org/
centroid
variance‐adjusteddistance
EnvironmentalNicheFactorAnalysis(ENFA)
• Speciesnicheisasubsetoftheglobalenvironment.
• SpeciessetofEGVdiffersfromglobalsetby:– Marginality(devia-onfromtheglobalmean)– Specialisa-on(nichebreadth)
σG
µG
Frequency
Altitude
GlobalSpecies
σS
µS
EnvironmentalNicheFactorAnalysis(ENFA)
• comparescondi-onsatpresencelocali-esto‘global’condi-ons
• computesanalterna-vesetofaxes(factors):Marginalitymaximizesdifferenceinmeans
Specialisa2onmaximizesvariancera-o
• NB:assumesnormality• www.unil.ch/biomapper/
presence&background environment
variable1
variable2
marginality
specialisa-on
re-projection
e.g.Brotonsetal.2004Ecography27:437‐448
Gene-cAlgorithmforRule‐setPredic-on(GARP)
• usesdataonpresence&(pseudo)absence
• genes=rules/func-onschromosome=ruleset
• 3ruletypes:atomic(threshold),range&logit
• non‐parametric• binaryoutput• predictors’contribu-onsto
solu-onunknown• www.lifemapper.org/desktopgarp/
initial random set of chromosomes (sets of rules)
chromosome replication based on fitness (prediction success)
gene mutation cross-over joining
selection for fitness & dissimilarity
test against data
next ite
ration
e.g.Petersonetal.1999Science285:1265‐1267
10/23/09
5
Maximumentropymodels(MAXENT)
Distn.ofmax.entropy(unconstrained)
Distn.ofmax.entropy(cointoss)
Phillipsetal.(2006)Phillipsetal.(2008)
• BasedonShannon’sentropy
• Presenceandbackgrounddata
• Iden-fiessta-s-caldistribu-onthatbestfitsobserveddatawhileminimizingconstraints(maximizingentropy)
• Maximumlikelihoodapproachwithop-malsolu-on
Maxent(con-nued)
• 5constrainttypes:– Linear– Quadra-c– Product– Threshold– Binary
• Thuscanfitawidevarietyofdistribu-onfunc-ons
• Goodathandlingcorrelatedpredictorvariables
3.WhenshouldIuseapresence‐onlymodel?
Albacoretuna1960s&1990s
Japaneselongliningdata
E.g.Myers&Worm(2003)Wormetal.(2005)
Japaneselongliningdata
• >20billionhooksfrom1950to1999!
• Yets-llsome5degcellsinwhichspecieswerenotcaught,butarelistedaspresentbyFAO
Therela-onshipbetweeneffortandpresence
Scheidat,Gillesetal,(unpublisheddata)
Ti:ensor&Worm(inprep)
Albacorecatch(1960s)
Albacorecatch(1990s)
Logeffort(hooks)10^2 10^8
Logcatch
010
^8
Logcatch
HarbourPorpoise
Effort(km^2)025
Num
.sigh-
ngs
0
60
Logcatch
010
^8
10/23/09
6
Whenshouldyouuseapresence‐onlymodel?
• Ifyouhavereliableabsencedata,itisbe:ertouseaP/Amodel(Elithetal.2006)
• However,itisbe:ertouseapresence‐onlymodelratherthanaP/Amodelwithproblema-cabsencedata
• Otherwiseyoucanbeinaccuratelyrepresen-ngspeciesniche
Presence‐onlymodelvalida-on
• Howtotestmodelperformance?• Fieldisevolvingextremelyrapidly
• Threshold‐independentmetricshaverecentlybeendeveloped(e.g.AUC,Phillipsetal.2006)
• Cross‐valida-onimportanttopreventover‐fi{ng
Builtmodelsusingpresenceorpresence‐inferredabsencedata
Testedusingtruepresence‐absencedata
Elithetal.(2006)
Howdopresence‐onlymodelsperformincomparisontoP/Amodels?
GOODINTERMEDIATE
LEASTGOOD
AquaMaps/RES
Readyetal.(accepted)
• Compareswellwithexis-ngmethods• Inclusionofexpertknowledgetendstoimprovepredic-ons
WhichmethodshouldIuse?
• Dependsonyourproblem• IammostfamiliarwithENFAandMaxentandbothcomplementoneanother–ENFAiseasilyinterpretable,Maxenttendstoperformbe:erundercross‐valida-on
• Iwouldthusadviseimplemen-ngmul-plemethodstogetarobustunderstandingofspecies‐environmentrela-onships.
5.Challengesanddangers
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7
Presence‐onlychallenges
• Spa-alautocorrela-onnotyetabletoberesolvedinpresence‐onlymodels(Dormannetal.2007)
Marine‐specificchallenges
• Inherentlythree‐dimensionalenvironment
• Bestapproachdependsonorganism–benthic,pelagic,mid‐water?
• Modelthevolumeinwhichaspecieslives,notjustthe‘area’
Mismatchbetweenseamountsamplesandbathymetry
Depthofsample–depthofbathymetry‐3000 0 6000
Num
berofsam
ples
0
700
0
More(marine)challenges
• Highlycorrelatedenvironmentalvariablescanpresentmodeliden-fiabilityissues
Seasurfacetemperature
SeasurfacedissolvedO2
Generalmodellingchallenges
• Poten-alscalemismatchesbetweendriversandobserva-ons
• Bio-cinterac-ons
• KEYASSUMPTION:Samplescovertherangeofenvironmentalspaceoccupiedbyaspecies
Dangers
• Over‐fi{ng• So]warepackagesareterrificallyeasytouse(whichmeanstheyareo]enappliedwithinsufficientthought)
• Modellingpoten-alvs.realizedniche,andunderstandingthatdifference.
• Insertsasquatchpaper
• Modellingwithoutusingbiological&ecologicalknowledgeoforganism(s)understudyisfoolish
(2009)
10/23/09
8
6.Conclusions
Inconclusion
• Presence‐onlymethodsareveryusefulwhenabsencedataareunreliable
• Idealfordatacompiledfromnon‐standardisedoreffort‐correctedsources(e.g.museumcollec-ons,mul-plesurveyswithdifferentmethodologies)
Inconclusion
• Performancecompareswelltopresence‐absencemodels
• Manyopportuni-esasstudiesinthemarineenvironmentarelimited.
• Fieldisevolvingveryrapidly,soimportanttokeepaneyeontheliterature.
Thankyou
• Kris-nKaschner• JanaMacPherson• BorisWorm• UNEP• FMAP• LenFestfounda-on
• Ihavekeypapersandso]wareinarangemodellinglibraryonmyflashdriveforanyonewhowants
10/23/09
9
AquaMaps:Environmentalenvelopes
Probability
Absoluteminimum
Absolutemaximum
Op-malrange
Environmentallayer
Depth:derivedfrompublishedinforma-onabouthabitatusage
METHOD AquaMaps:Environmentalenvelopes
Probability
Observedmin
Observedmax
Op-malrange10thto90thpercen-les
Environmentallayervalues
SST,Salinity,PP,Seaiceconcentra-on:derivedfrompointdata
75thpercen-le+(IQR*1.5)
25thpercen-le‐(IQR*1.5)
IQR=interquar-lerange
Slide:courtesyJ.Ready
METHOD
AquaMaps:ExpertinputMETHOD