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Combining geodiversity with climate and topography to account for threatened species richness

Tukiainen, Helena,Bailey, Joseph J.,Field, Richard,Kangas, Katja,Hjort, Jan

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Con ibu ed Pape Combining geodi e si y wi h clima e and opog aphy o accoun o h ea ened species ichness Helena Tukiainen,∗¶§ Joseph J. Bailey,† § Richa d Field,† Ka ja Kangas,‡ and Jan Hjo ∗ ∗Geog aphy Resea ch Uni , Uni e si y o Oulu, P.O. Box 8000, Oulu, FI 90014, Finland †School o Geog aphy, Uni e si y o No ingham, Uni e si y Pa k, No ingham NG7 2RD, U.K. ‡Na u al Resou ces Ins i u e Finland (Luke), Economics and Socie y, Uni e si y o Oulu, P.O. Box 413, Oulu, FI 90014, Finland Abs ac : Unde s anding h ea ened species di e si y is impo an o long- e m conse a ion planning. Geodi e si y— he di e si y o Ea h su ace ma e ials, o ms, and p ocesses—may be a use ul biodi e si y su oga e o conse a ion and ha e conse a ion alue i sel . Geodi e si y and species ichness ela ionships ha e been demons a ed; es ablishing whe he geodi e si y ela es o h ea ened species’ di e si y and dis i- bu ion pa e n is a logical nex s ep o conse a ion. We used 4 geodi e si y a iables ( ock- ype and soil- ype ichness, geomo phological di e si y, and hyd ological ea u e di e si y) and 4 clima ic and opog aphic a iables o model h ea ened species di e si y ac oss 31 o Finland’s na ional pa ks. We also analyzed a i y- weigh ed ichness (a measu e o si e complemen a i y) o h ea ened ascula plan s, ungi, b yophy es, and all species combined. Ou 1-km2 esolu ion da a se included 271 h ea ened species om 16 majo axa. We modeled h ea ened species ichness ( aw and a i y weigh ed) wi h boos ed eg ession ees. Clima ic a iables, especially he annual empe a u e sum abo e 5 °C, domina ed ou models, which is consis en wi h he c i ical ole o empe a u e in his bo eal en i onmen . Geodi e si y added signi ican explana o y powe . High geodi e si y alues we e consis en ly associa ed wi h high h ea ened species ichness ac oss axa. The combined e ec o geodi e si y a iables was e en mo e p onounced in he a i y-weigh ed ichness analyses (excep o ungi) han in hose o species ichness. Geodi e si y measu es co ela ed mos s ongly wi h species ichness ( aw and a i y weigh ed) o h ea ened ascula plan s and b yophy es and we e weakes o molluscs, lichens, and mammals. Al hough simple measu es o opog aphy imp o e biodi e si y modeling, ou esul s sugges ha geodi e si y da a ela ing o geology, land o ms, and hyd ology a e also wo h including. This ein o ces ecen a gumen s ha conse ing na u e’s s age is an impo an p inciple in conse a ion. Keywo ds: biodi e si y, conse ing na u e’s s age, geology, geomo phology, he e ogenei y, hyd ology Combinaci´ on de la Geodi e sidad con el Clima y la Topog a ´ ıa pa a Rep esen a la Riqueza de Especies Amenazadas Resumen: En ende la di e sidad de especies amenazadas es impo an e pa a la planeaci´ on de la con- se aci´ on a la go plazo. La geodi e sidad – la di e sidad de ma e iales, o mas y p ocesos en la supe icie e es e – puede se un sus i u o ´ u il de la biodi e sidad pa a la conse aci´ on y puede ene un alo de conse aci´ on p opio. Las elaciones en e la geodi e sidad y la iqueza de especies han sido demos adas; el siguien e paso l´ ogico pa a la conse aci´ on es es ablece si la geodi e sidad se elaciona con la di e sidad de especies amenazadas y los pa ones de dis ibuci´ on. Usamos cua o a iables de la geodi e sidad ( iqueza de ipo de oca y de ipo de suelo, di e sidad geomo ol´ ogica, ca ac e ´ ıs icas de la di e sidad hid ol´ ogica) y cua o a iables clim´ a icas y opog ´ a icas pa a modela la di e sidad de especies amenazadas en 31 de los pa ques nacionales de Finlandia. Tambi´ en analizamos la iqueza ponde ada con la a eza (una medida de la complemen a iedad de si io) de las plan as ascula es, hongos y b io i as amenazadas y odas las especies combinadas. Nues o conjun o de da os de esoluci´ on de 1-km2inclu´ ıa 217 especies amenazadas de ¶email [email p o ec ed]. §These au ho s con ibu ed equally o his a icle. Pape submi ed Ma ch 1, 2016; e ised manusc ip accep ed July 25, 2016. This is an open access a icle unde he e ms o he C ea i e Commons A ibu ion License, which pe mi s use, dis ibu ion and ep oduc ion in any medium, p o ided he o iginal wo k is p ope ly ci ed. 364 Conse a ion Biology, Volume 31, No. 2, 364–375 C 2016 The Au ho s. Conse a ion Biology published by Wiley Pe iodicals, Inc. on behal o Socie y o Conse a ion Biology DOI: 10.1111/cobi.12799 Tukiainen e al. 365 16 axones mayo es. Modelamos la iqueza de especies amenazadas (c uda y ponde ada con la a eza) con ´ a boles de eg esi´ on es imulados. Las a iables clim´ a icas, especialmen e la suma de la empe a u a anual sob e los 5 °C, domina on nues os modelos, lo que es consis en e con el papel c ´ ı ico de la empe a u a en es e ambien e bo eal. La geodi e sidad a˜ nadi´ o un pode explica i o. Los al os alo es de geodi e sidad es u ie on asociados cons an emen e con la al a iqueza de especies amenazadas en los axones. El e ec o combinado de las a iables de la geodi e sidad es u o m´ as p onunciado en los an´ alisis de iqueza sopesados con la a eza (excep o po los hongos) que en aquellos pa a la iqueza de especies. Las medidas de geodi e sidad se co elaciona on m´ as ue emen e con la iqueza de especies (sopesada con la a eza y la c udeza) de las plan as ascula es y las b io i as y ue on m´ as d´ ebiles pa a los moluscos, los l´ ıquenes y los mam´ ı e os. Aunque las medidas simples de la opog a ´ ıa mejo an el modelado de la biodi e sidad, nues os esul ados sugie en que los da os de geodi e sidad elacionados con la geolog´ ıa, las o maciones e es es y la hid olog´ ıa ambi´ en deben se incluidos. Es o e ue za los a gumen os ecien es que dicen que conse a el es ado de la na u aleza es un p incipio impo an e en la conse aci´ on. Palab as Cla e: biodi e sidad, conse aci´ on del es ado de la na u aleza, geolog´ ıa, geomo olog´ ıa, he e ogenei- dad, hid olog´ ıa In oduc ion Land-use and clima e change h ea en species globally (Man yka-P ingle e al. 2015). I is he e o e inc easingly impo an o unde s and and conse e species’ di e si y and dis ibu ions. One coa se- il e s a egy in conse a- ion and p o ec ed-a ea managemen , conse ing na u e’s s age, cen e s on he physical s uc u es ha unde lie bio ic p ocesses and ecognizes ha geodi e si y– he di- e si y o Ea h su ace o ms, ma e ials, and p ocesses (G ay 2013)–i sel has conse a ion alue and is ela ed o biodi e si y (Ande son & Fe ee 2010; Lawle e al. 2015). Thus, p oponen s sugges ha geodi e si y be in- co po a ed in o biodi e si y esea ch and conse a ion (Lawle e al. 2015). In p ac ical e ms, geodi e si y da a a e equen ly easie and less expensi e o ob ain han biodi e si y da a (Hjo e al. 2012) and ad ance scien i ic unde s anding o he spa ial dis ibu ion o biodi e si y o long- e m conse a ion planning. Well-mapped abio ic da a a e commonly used, oge he wi h da a om ecological communi ies, o model o p e- dic biodi e si y o conse a ion planning (Albuque que & Beie 2015a). Nume ous esea che s ha e explo ed how abio ic ac o s a e ela ed o species’ di e si y and dis ibu ions (Lawle e al. 2015), and he ela ionship be ween en i onmen al he e ogenei y and species ich- ness has been es ablished ac oss mul iple axa and spa ial scales (S ein e al. 2014). Se e al esea che s ha e shown ha local, idiosync a ic ea u es, such as ock ype, and landscape-scale ac o s, such as ene gy- ela ed clima o- logical a iables, co ela e wi h h ea ened species’ pa - e ns a di e en spa ial scales and di e among axo- nomic g oups (Be g e al. 2002; K e & Je z 2007; Lawle e al. 2015). Vascula plan s a e commonly s udied and ypically ha e s ong ela ionships wi h clima ic a i- ables and opog aphic he e ogenei y (Field e al. 2009), whe eas he e ec o abio ic condi ions is less known o a e species in o he axonomic g oups (e.g., Vi kkala e al. 2005; Ande son & Fe ee 2010). Geodi e si y ep esen s a mo e comple e cha ac e i- za ion o Ea h-su ace he e ogenei y han opog aphic he e ogenei y does. We de ine geodi e si y as dis inc om widely used opog aphic measu es such as ele a- ion, ange in ele a ion, and slope (he ein e e ed o as opog aphy). Geodi e si y includes explici geo ea- u es such as ock ypes, soil ypes, geomo phological land o ms, and hyd ological ea u es. These can be ex- plici ly inco po a ed in o analyses o cap u e he aspec s o local he e ogenei y, such as mic oclima ic e ec s and mic osi e pa e ns, which a e ecologically impo an bu a e no cap u ed by clima ic and opog aphic da a (Field e al. 2009; Dob owski 2011). Such local he e ogenei y, caused by geology, land o ms, and hyd ology, ela es o ex ended local- esou ce g adien s, niche space, and habi- a a ie y (S ein e al. 2014). Conse a ion p o essionals ha e a ely inco po a ed geodi e si y in o conse a ion p io i iza ion e o s (Beie e al. 2015). Howe e , ela ionships be ween geodi e - si y and biodi e si y a e being demons a ed inc easingly (Lawle e al. 2015) and may ha e conside able implica- ions o conse a ion. A signi ican link be ween plan species ichness (domina ed by common species) and geodi e si y has been iden i ied (Nichols e al. 1998; Hjo e al. 2012). Es ablishing whe he such a ela ionship ex- is s be ween geodi e si y and h ea ened species’ di e - si y and dis ibu ion pa e ns is a logical nex s ep. Indeed, quan i ying geodi e si y may p o ide g ea e insigh in o a landscape’s po en ial o p ese e species di e si y (An- de son & Fe ee 2010; Lawle e al. 2015). Howe e , numbe s o species, and e en numbe s o h ea ened species, may no p o ide op imal measu es by which o p io i ize si es o conse a ion (Ki kpa ick 1983; Albuque que & Beie 2015a). Fo op imal plan- ning, manage s o en wan o iden i y g oups o si es ha collec i ely ep esen mul iple conse a ion a ge s ( yp- ically h ea ened species) in small a eas (Albuque que & Beie 2015a). Thus, ins ead o selec ing he si es wi h he g ea es species ichness o he mos h ea ened species, Conse a ion Biology Volume 31, No. 2, 2017 366 Geodi e si y and Th ea ened Species a se o si es wi h species assemblages ha complemen each o he and collec i ely cap u e he la ges numbe o species is chosen (Albuque que & Beie 2015b). Va i- ous si e-p io i iza ion me hods ha e been de eloped; so - wa e such as Zona ion (Moilanen e al. 2014) and Ma xan (A d on e al. 2010) a e qui e commonly used. Howe e , a simple al e na i e, a i y-weigh ed ichness (RWR), is e icien and eliable and allows he iden i ica ion o p i- o i y si es (Albuque que & Beie 2015b). Albuque que and Beie (2015a, 2015c) ecen ly demons a ed ha si e complemen a i y can be highly p edic able om abio ic cha ac e is ics. We modeled he ela ionship be ween he physical en i onmen and bo h h ea ened species ichness and RWR a 1-km²g ain size ac oss 31 p o ec ed a eas o Fin- land. We used 2 p edic o ca ego ies: clima e and opog- aphy (i.e., con en ional p edic o s) and geodi e si y. Ou main aim was o de e mine he explana o y powe o he geodi e si y measu es, which in his s udy a e geo ichness a iables. We expec ed da a on geomo phol- ogy, geology, and hyd ology o be ele an o landscape- scale pa e ns o h ea ened species ichness and RWR be- cause hey should ep esen local geophysical condi ions ha a e impo an o he es ablishmen and pe sis ence o h ea ened species (Rich & Weiss 1991; Engle e al. 2004). In heo y, mo e h ea ened species should be able o pe sis whe e he e is g ea e geological a ie y be- cause o he b oade a ie y o nu ien s, esou ces, and pH (as p e iously obse ed o common species [Hjo e al. 2012]). Ou s udy a ea included only p o ec ed a - eas, so he le els o human impac we e consis en ly low. We analyzed da a o h ea ened species o ascula plan s, ungi, lichens, bee les (Coleop e a), b yophy es, bu e lies and mo hs (Lepidop e a), molluscs, mammals, and all o hese combined. We used h ea ened species ichness and RWR as measu es o h ea ened species di- e si y and a i y, espec i ely. We es ed he explana o y powe o en i onmen al a iables in modeling di e si y and RWR; assessed he consis ency o hese ela ion- ships ac oss di e en axonomic g oups; and s udied which geo ichness measu es ( ock- ype ichness, soil- ype ichness, geomo phological di e si y, and hyd olog- ical ea u e di e si y) added explana o y powe o ou models. We add essed he ollowing hypo heses, which a e no mu ually exclusi e. Th ea ened species di e si y is s ongly ela ed o clima e, and in high-la i ude en i- onmen s especially o ene gy- ela ed clima e a iables (H1) (Hawkins e al. 2003; S ein e al. 2014). Di e en axonomic g oups show di e en esponses o clima ic, opog aphic, and geodi e si y p edic o s (H2)(S eine al. 2014). Geodi e si y measu es imp o e models o h ea - ened species di e si y and RWR (H3) (Bu ne e al. 1998; Ande son & Fe ee 2010). Th ea ened species di e si y and RWR can be success ully modeled wi h clima e, o- pog aphy, and geodi e si y a iables (H4) (Pausas e al. 2003; Hjo e al. 2012; Albuque que & Beie 2015a). Me hods S udy A ea Ou s udy a ea co e ed 31 na ional pa ks (Fig. 1), ex end- ing om sou he n Finland’s coas al a chipelago o no h- e n Finland’s glacially ounded hills wi h a c ic-alpine condi ions. Pa k a ea anged om 6 km²(Pe kelj¨ a i) o 2850 km2(Lemmenjoki); he o al a ea was 8091 km². Finnish na ional pa ks ollow he de ini ions and man- agemen objec i es o he In e na ional Union o he Conse a ion o Na u e (IUCN) and na u al esou ces p o ec ed a ea managemen ca ego y II (Heinonen 2013). We supe imposed a egula sys em o 1-km²g id cells and e ained all cells con aining h ea ened species eco ds ha had a leas 10% o hei a ea in a na ional pa k. Fo cells wi hou h ea ened species eco ds, we e ained all cells loca ed en i ely wi hin na ional pa k bounda ies. We he e o e selec ed 6571 g id cells, 583 wi h obse a ions o h ea ened species and 5988 wi hou . Biogeog aphically, he s udy a ea co e ed hemi-, sou he n-, middle-, and no he n-bo eal ege a ion zones (Ah i e al. 1968) and included a g ea a ie y o land- co e ypes, such as o es s, ell a eas, and we lands. Mean annual ai empe a u e a ied om −2°Cin he no h o app oxima ely 6 °C in he sou h (Pi inen e al. 2012), and he leng h o he he mal g owing season (>5°C daily mean empe a u es) was om >185 days in he sou h o <125 days in he no h. Mean annual p ecipi- a ion was mode a e h ough all seasons and anged om 444 o 739 mm (Table 1) (Pi inen e al. 2012). Finland is pa o he P ecamb ian bed ock block o no he n and eas e n Eu ope and consis s mainly o c ys alline ocks (A las o Finland 1990). The soils o Finland o igina e mainly om du ing o a e he las glacial pe iod and a e domina ed by g ound mo aine and pea deposi ions. Th ea ened Species Da a We conside ed h ea ened species om he ollow- ing axonomic g oups: ascula plan s, ungi, lichens, b yophy es, bee les, bu e lies and mo hs, molluscs, mammals, 2-winged lies, ue bugs, bi ds, hymenop e - ans, caddis lies, s one lies, amphibians, and spide s. The ichness o each o he i s 8 o hese (up o and in- cluding mammals) was modeled, as was ha o all 16 axa combined (‘all’ ca ego y). Th ea ened species we e hose conside ed c i ically endange ed, endange ed, ul- ne able, o nea - h ea ened in Finland acco ding o he IUCN Red Lis (Rassi e al. 2001). We included a ew da a-de icien species known o be a e ( o de ails, see Suppo ing In o ma ion). Geog aphic coo dina es o he eco ds o h ea ened species we e de i ed om he He a da abase (Finnish En i onmen Ins i u e 2015). To ensu e hei spa ial accu- acy, we used occu ences eco ded a e he yea 2000. Conse a ion Biology Volume 31, No. 2, 2017 Tukiainen e al. 367 Figu e 1. Loca ions and majo ege a ion zones o he Finnish na ional pa ks included in ou s udy o hei h ea ened species di e si y and a i y-weigh ed ichness. The pa ks a e spli in o eas e n (unde lined) and wes e n pa ks. Nea ly all (99.3%) he coo dina es we e eco ded wi h GPS wi h 100-m accu acy. The e was no bias in ela- ion o he numbe o species occu ences and p oximi y o ec ea ional ou es ( his was examined o ascula plan s, b yophy es, lichens, and ungi by Siikam¨ aki e al. [2015]). As well as analyzing aw h ea ened species ichness, we modeled RWR (Williams e al. 1996; Albuque que & Beie 2015b). The a i y alue o each species is he in e se o he numbe o g id cells in which i occu s. The RWR alue pe g id cell is he sum o he a i y alues om each species eco ded. G id cells con aining a e species he e o e ha e highe RWR. We calcula ed RWR o each axonomic g oup wi h su icien da a ( ascula plan s, b yophy es, and ungi) and all species combined. Fo he RWR modeling, we used he same en i onmen al a iables as o h ea ened species ichness analyses. We also used hese a iables o addi ional analyses o he dis ibu ion o each axon (de ails gi en in Suppo ing In o ma ion). En i onmen al Va iables We compiled 24 en i onmen al (abio ic) a iables o he 6571 1-km2cells as po en ial p edic o s (Table 1). As well as geodi e si y measu es (numbe o ypes o ock, soil, land o m, and hyd ological ea u es), hese abio ic en i- onmen al a iables included widely used clima ic and opog aphic a iables so we would co e he mos likely abio ic co ela es o species di e si y a he landscape scale (Field e al. 2009; S ein e al. 2014). We de i ed opog aphic a iables om a 25-m- esolu ion digi al ele a ion model (DEM) (NLS 2000). Ele a ion and slope angle (mean, SD, and ange) we e calcula ed pe g id cell wi h A cMap e sion 10.2 (ESRI, USA). Topog aphy-de i ed mois u e condi ions o he s udy a ea we e calcula ed using he opog aphic we ness index (TWI) (Be en & Ki kby 1979). De ailed, expe -de i ed da a on all he land o ms in each g id cell we e a ailable only o 2083 cells, so ge- omo phological ichness o all cells was de e mined by Conse a ion Biology Volume 31, No. 2, 2017 368 Geodi e si y and Th ea ened Species Table 1. De ails o conside ed en i onmen al a iables o use in boos ed eg ession- ee analyses o spa ial ichness and a i y-weigh ed ichness pa e ns o se e al axa ac oss Finland’s na ional pa ks (n=6571). En i onmen al a iable Uni Median (min o max) Sou ceaAbb e ia ion Geodi e si y ock- ype ichnessbnumbe o ock ypes 1 (1–6) GSF ock ich soil- ype ichnessbnumbe o soil ypes 2 (1–5) GSF soil ich geomo phological ichnessbnumbe o geomo phological ea u e ypes 6 (0–13) GAM GM ich hyd ological ea u e ichnessb numbe o hyd ological ea u e ypes 1 (0–6) NLS hyd o ich Clima ec mean annual ai empe a u e °C –1.1 (–2 o 5.9) FMId g owing deg ee days (>5°C)b deg ee-days 639 (500.3–1448.3) FMI GDD mean empe a u e o coldes mon h (Janua y) °C –13.4 (–14.5 o –3) FMI mean empe a u e o wa mes mon h (July) °C 13.1 (12.5–17.7) FMI seasonali y (mean empe a u e o July– Janua y) °C 26.4 (20.1–29.3) FMI mean annual p ecipi a ionbmm 540.7 (443.6–739.3) FMI MP po en ial e apo anspi a iond mm yea −1210.1 (194.6–392.6) FMId wa e balancedmm yea −1327.8 (221–435.9) FMId heo e ical sola adia ion (mean)e Mj cm−2yea −10.5 (0.3–0.6) DEMe heo e ical sola adia ion (SD)e Mj cm−2yea −10.02 (<0.01–0.2) DEMe heo e ical sola adia ion ( ange)e Mj cm−2yea −10.2 (<0.01–0.7) DEMe Topog aphy ele a ion (mean) m asl 308.3 (10.2–738.9) DEM ele a ion (SD) m 11.1 (0–127.5) DEM ele a ion ( ange)bm 48 (0–414) DEM ER slope angle (mean) deg ees 2.9 (<0.01–22.7) DEM slope angle (SD) deg ees 2 (0.02–12.9) DEM slope angle ( ange) deg ees 12 (0.6–56.7) DEM opog aphical we ness index (mean) – 10.8 (6.4–24.3) DEM opog aphical we ness index (SD) – 4.6 (0.4–7.7) DEM opog aphical we ness index ( ange)b – 23.2 (9.5–32.8) DEM TWIR aAbb e ia ions: DEM, digi al ele a ion model; GAM, gene alized addi i e model; GSF, Geological Su ey o Finland; FMI, Finnish Me eo ological Ins i u e; NLS, Na ional Land Su ey o Finland. bVa iables selec ed o species ichness and a i y-weigh ed ichness modeling, based on co ela ion analysis (see Me hods o u he de ails). cClima e a iables a e o 1981–2010. dMe hod ollowing Sko and S enning (2004). eEs ima e o po en ial annual di ec inciden adia ion calcula ed using A cGIS 10.2 (McCune & Keon 2002). gene alized addi i e modeling (GAM) wi h he a ailable land o m da a and he 25-m DEM, as ollows (Hjo & Luo o 2012). Land o m da a we e de i ed om 1:50,000 geomo phological maps and ae ial pho og aphs (app ox- ima ely 30-cm esolu ion). These we e modeled using DEM-based and geog aphical a iables (calib a ion wi h 1458 cells and e alua ion wi h 625). The GAM wi h he inal explana o y a iables was ecalib a ed using all 2083 cells and applied o he 6571 g id cells in he s udy (de ails gi en in Suppo ing In o ma ion). O he wise, geodi e si y pe g id cell was calcula ed ollowing Hjo and Luo o (2012), as ollows. Hyd ologi- cal ea u e ichness was he sum o di e en hyd ological ea u e ypes. Fea u es we e mapped om he Na ional Land Su ey o Finland’s da abase (Table 2) (NLS 2007). Soil- and ock- ype ichness we e measu ed by summing he numbe o di e en soil and ock ypes, espec- i ely. Soil and ock ypes we e de i ed om digi al soil and bed ock maps, espec i ely, bo h p oduced by he Geological Su ey o Finland (Table 2) (GSF 2010a, Conse a ion Biology Volume 31, No. 2, 2017 Tukiainen e al. 369 Table 2. De ails o he ea u es o classes o geology, soil, and hyd ol- ogy on which geodi e si y (geo ichness) a iables we e calcula ed o analyzing spa ial ichness and a i y-weigh ed ichness pa e ns ac oss Finland’s na ional pa ks. Geodi e si y a iable Fea u es o classes Rock- ype ichness ul ama ic in usi e o olcanic ocks ma ic in usi e o olcanic ocks in e media e, in usi e olcanic ocks g ani ic o esic ocks peli ic sedimen a y ocks conglome a es a kosic sedimen a y ocks black schis s qua z- ich sedimen a y ocks sedimen a y ca bona e ocks o ca bona i es gneisses and migma i es i on o e high-g ade me amo phic ocks me asoma ic ocks impac mel ocks sulphide o e Soil- ype ichness ock (ba e ock o hin soil co e ; <1m) ill (glacigenic deposi s) s one and block ields sand and g a el sil clay gy ja (lake and sea sedimen s; >6% o ganic ma e ial) pea Hyd ological ea u e ichness lakes (>1ha) ponds (<1ha) la ge i e s (>5 m wide) small i e s (2–5 m wide) s eams (<2 m wide), sp ings 2010b). Clima e da a o 1981–2010, a 1-km² esolu ion, we e de i ed om he Finnish Me eo ological Ins i u e (Pi inen e al. 2012; Table 1). We emo ed highly co ela ed (Spea man’s ank co - ela ion coe icien , | s|>0.7) clima ic and opo- g aphic a iables a e p elimina y analysis o a oid mul i- collinea i y. Selec ion o he inal a iables was based on hei mu ual co ela ions and concep ual ele ance and designed o ob ain he same numbe o geo ichness a i- ables as nongeo ichness a iables (clima e and opog a- phy). The e o e, 2 clima e ( ep esen ing ene gy and mois- u e a ailabili y [Hawkins e al. 2003]) and 2 opog aphic a iables we e selec ed o ma ch he 4 geo ichness a i- ables (Table 1). Based on he p e ious s eps, we used ock- ype ichness, soil- ype ichness, geomo phological di e si y, hyd ological ea u e di e si y, g owing-deg ee days, mean annual p ecipi a ion, ele a ional ange, and ange o he TWI. Analyses We used boos ed eg ession ees (BRTs) o analyze he pa e ns o h ea ened species ichness and RWR. Boos ed eg ession ees a e an ensemble modeling me hod in which eg ession ees a e applied ( om he classi ica ion and eg ession- ee g oup o models) and hen boos ed o combine a collec ion o models (Eli h e al. 2008). The BRT models we e i ed in R e sion 3.1.3 (R Co e De elopmen Team 2008) wi h he gbm package ( e sion 2.1.1) (Ridgeway 2015) and he unc- ion gbm.s ep, which uses egula iza ion me hods o dis- cou age o e i ing and balance p edic i e pe o mance wi h model i (Has ie e al. 2001). We used a ee com- plexi y o 4, lea ning a e o 0.001, bag ac ion o 0.5, and a Gaussian e o dis ibu ion. A e expe imen a ion, all o he a gumen s used de aul alues. Models we e in e p e ed based on p edic o s’ ela i e in luence (RI) alues, which can be hough o as model con ibu ions. Using RI alues allows hese complex ensemble models o be easily in e p e ed. Rela i e in luence alues a e based on weigh ing he numbe o imes a p edic o is used o spli ing a ee acco ding o he imp o emen o he model as a esul o each spli (F iedman & Meulman 2003). Al hough BRTs handle da a se s wi h many ze os ea- sonably well (Eli h e al. 2008), e y la ge p opo ions o ze os may be p oblema ic. Fu he mo e, some absences (i.e., g id cells wi h no h ea ened species eco ds) ep- esen loca ions whe e he condi ions a e oo ha sh o any o he h ea ened species o exis , which a o s cli- ma ic a iables in he modeling. This is app op ia e o b oad-b ush modeling, bu geodi e si y is hypo hesized o be mos use ul in modeling biodi e si y a ine scales (Lawle e al. 2015), allowing explana o y powe whe e he en i onmen is simila in o he espec s (pa icula ly clima ically). The e o e, o educe he in luence o ab- sences and cons ain he analyses o clima es likely o con ain h ea ened species, we e an he species- ichness analyses wi h da a se s in which he absence cells we e sampled. We used only cells wi h h ea ened species eco ds (p esences) and cells immedia ely su ounding hose p esences. Analyses pe o med wi h he ull da a se had om 6317 o 6560 absences, depending on he axonomic g oup, whe eas analyses wi h he sampled da a had om 34 o 339 absences. This me hod o sam- pling he absences was in ended o ocus he esul ing models on dis inguishing cells ha con ained h ea ened species om o he wise simila cells ha did no (on he basis ha neighbo ing cells end o be simila because he en i onmen is spa ially au oco ela ed) o add ess he hypo hesis ha geodi e si y is impo an o dis in- guishing o he wise simila en i onmen s. We an BRT models o he ull se o h ea ened species (all 16 axonomic g oups combined) and sep- a a ely o he h ea ened species ichness o each o Conse a ion Biology Volume 31, No. 2, 2017 370 Geodi e si y and Th ea ened Species 8 axa wi h su icien numbe s o eco ded h ea ened species o model indi idually. Models we e un on bo h he sampled and ull da a se s o ascula plan s, ungi, bee les, and b yophy es. Due o da a quan i y, models could no be un on he sampled da a o lichens, bu e - lies and mo hs, molluscs, and mammals. Analyses wi h RWR alues only in ol ed he g id cells wi h h ea ened species eco ds, which dec eased da a quan i y and lim- i ed analyses o ascula plan s, b yophy es, ungi, and all species combined. Sel -s a is ics (SS) we e used o assess in e nal model i . We hen e alua ed ou models wi h 10- old c oss- alida ion (CV), which, along wi h SS, is included in he gbm package (Ridgeway 2015). Sel -s a is ics and CV ange om 0 o 1; a highe numbe sugges s a be e model. The CV p ocedu e andomly selec s da a om he a ea wi hin which he model was calib a ed, ex- cludes hese da a om he calib a ion, and hen es s he o iginal model on his held-back po ion o da a. This is epea ed 10 imes o gi e an a e age co ela ion be ween he aining and es ing da a. To es whe he model i e lec ed mo e han spa ial au oco ela ion o he a i- ables, we eassessed he i s o all he BRT models by geog aphically sepa a ing calib a ion and e alua ion da a and calcula ing he oo mean-squa ed e o o p edic ed and ac ual alues o he e alua ion da a. The di ision o he g id cells in o e alua ion and calib a ion da a se s was made a he na ional pa k le el by di iding he pa ks in an app oxima ely eas –wes di ec ion. The i s da a se consis ed o 46% o he g id cells om 10 na ional pa ks, which we e mos ly in he eas , and he second da a se consis ed o g id cells om he 21 emaining na ional pa ks (Fig. 1). F om hese 2 da a se s, we chose he one wi h mo e p esence cells in a gi en axonomic g oup as he calib a ion da a and he o he as he e alua ion da a. Resul s Richness o Th ea ened Species The bes models pe o med well (SS o CV alue close o 1) o some axa (e.g., all species, molluscs, and ascula plan s) and poo ly (SS o CV alue close o 0) o o he s (e.g., lepidop e a and mammals) (Table 3 shows he mod- els o ull da a se ). The mo e di icul ask o modeling di e ences in he numbe o h ea ened species be ween simila (neighbo ing) cells had lowe le els o success (Table 3, sampled da a se ). G owing-deg ee days and mean p ecipi a ion we e usu- ally he dominan p edic o s o h ea ened species ich- ness; ele a ional ange and TWI ange we e also impo - an o h ea ened ascula plan s and b yophy es, e- spec i ely (Table 3). In e ms o de e mining he numbe o h ea ened species p esen in he sampled da a se , geodi e si y a iables con ibu ed ela i ely mo e han o he ull da a se (Table 3); hei g ea es ela i e con- ibu ion was 24.7% o ascula plan s. O he geodi e - si y a iables, geomo phological ichness was he mos impo an o mos axa, whe eas ock- ype ichness was he mos impo an o lichens and ascula plan s. Using he ull da a se , he combined model in luence (con ibu ion) o nongeodi e si y a iables anged om 86.6% (bu e lies and mo hs) o 99.4% (molluscs). The combined con ibu ion o geodi e si y a iables he e- o e anged om 0.6% o 13.4%. A his scale, he numbe o h ea ened species was hus de e mined p ima ily by clima e, and mos o hem occu ed in ela i ely wa me and we e a eas. Geodi e si y a iables we e mos im- po an in de e mining he numbe o h ea ened species o Lepidop e a and ascula plan s (CV co ela ion o ascula plan s was highe han ha o all o he species g oups) (Table 3). In he sampled models, geodi e si y a iables had 1.5–2 imes mo e in luence and he impo - ance o clima e- ele an a iables was lowe han in he ull model. Ra i y-Weigh ed Richness o Th ea ened Species G owing-deg ee days we e s ongly posi i ely ela ed o RWR o ascula plan s, ungi, and all species combined, whe eas his ela ionship was nega i e o b yophy es (Table 4). High le els o RWR o h ea ened species we e also associa ed wi h high ain all, TWI ange, and hyd o- logical ea u e ichness o ungi; low ain all, small ele a- ional ange, and high hyd ological ea u e ichness and soil- ype ichness o ascula plan s; high soil- ype ich- ness o b yophy es; and low ain all and high ele a ional ange and ock ichness o o al h ea ened species ich- ness. In e nal model i s (SS) we e easonable, whe eas CV s a is ics we e weake han SS, as would be expec ed. Compa ed wi h he h ea ened species ichness models, he combined e ec o geodi e si y a iables was much g ea e o ascula plan s (28.9% g ea e in luence om geodi e si y ela i e o he nonsampled ichness model) and b yophy es (22.5%) in he RWR analyses, whe eas o ungi and o all species combined, he e was li le di e ence. Discussion Ou esul s om modeling he di e si y o 271 h ea - ened species ac oss Finnish na ional pa ks e ealed ha he numbe o g owing-deg ee days and mean annual p ecipi a ion we e o he g ea es impo ance o h ea - ened species ichness (bo h aw and weigh ed by a i y). Ele a ional ange, a widely used opog aphic me ic, was also impo an . These esul s a e eassu ing gi en he la ge body o knowledge buil up o e cen u ies wi h ega d o o e all species ichness (Field e al. 2009; S ein e al. 2014). The use o geodi e si y– he di e si y o Ea h Conse a ion Biology Volume 31, No. 2, 2017 Tukiainen e al. 371 Table 3. C oss- alida ion (CV) co ela ion (co .) and de iance (de .), sel -s a is ics (SS), oo -mean-squa e e o (RMSE) alues, and dominan (g ea es ela i e in luence o model con ibu ion) geodi e si y (GD) and nongeodi e si y (non-GD) p edic o sao and o al combined geodi e si y ela i e in luence (RI [%]) on ichness o h ea ened species om boos ed eg ession- ee modeling wi h he ull (F) and sampled (S) da a se s o each axona. Taxon Da a used (n cells) CV co . CV de . SS mean RMSE Non-GD p edic o (highes RI%) Non-GD p edic o (second highes RI%) Combined non-GD model in luence (%) GD p edic o (highes RI%) GD p edic o (second highes RI%) Combined GD model in luence (%) All F (6571) 0.56 1.39 0.66 1.22 MP (39.4)bGDD (36.9) 93.2 ock ich (3.2) GM ich (2.7) 6.8 S (856) 0.41 8.63 0.59 3.12 MP (41.1)bGDD (28.2) 90.3 ock ich (3.7) GM ich (3.1) 9.7 B yophy es F (6571) 0.40 0.05 0.57 0.14 GDD (32.1)bMP (26.1) 90.2 GM ich (5.6) ock ich (2.8) 9.8 S (191) 0.06 1.20 0.46 0.80 TWIR (27.3)bGDD (24.4) 78.8 GM ich (9.5) hyd o ich (8.4) 21.2 Bee les F (6571) 0.34 0.04 0.51 0.15 GDD (63.2)bMP (20.3) 92.9 GM ich (5.2) ock ich (0.8) 7.1 S (110) 0.14 1.64 0.50 0.96 GDD (35.4)bER (25.5) 87.7 GM ich (7.7) ock ich (2.3) 12.3 Fungi F (6571) 0.38 0.60 0.53 0.71 MP (41.1)bGDD (36.4) 94.5 GM ich (3.2) soil ich (1.1) 5.5 S (593) 0.22 5.11 0.48 1.89 MP (36.3)bGDD (25.5) 85.6 GM ich (8.2) hyd o ich (3.6) 14.4 Lepidop e a F (6571) 0.28 0.01 0.42 0.05 MP (62.48)bGDD (16.4) 86.6 GM ich (9.6) soil ich (2.3) 13.4 Lichens F (6571) 0.33 0.23 0.54 0.50 GDD (53.7)bMP (38.9) 95.7 ock ich (2.7) GM ich (1.3) 4.3 Mammals F (6571) 0.22 <0.01 0.47 0.05 GDD (38.0)bMP (35.6) 93.6 GM ich (3.1) soil ich (2.7) 6.4 Molluscs F (6571) 0.58 <0.01 0.59 0.04 GDD (69.5)bMP (25.3) 99.4 GM ich (0.5) ock ich (0.1) 0.6 Vascula plan s F (6571) 0.59 0.09 0.72 0.17 GDD (29.3)bER (24.3) 88.3 ock ich (4.8) GM ich (3.5) 11.7 S (319) 0.44 1.08 0.66 0.79 ER (30.0)bGDD (19.1) 75.3 hyd o ich (11.6) GM ich (9.1) 24.7 aAll p edic o s in he able showed a posi i e co ela ion be ween he a iable and p edic ed species ichness in he models. See Table 1 o de ini ions o a iable abb e ia ions. bG ea es con ibu ing p edic o pe axon. Conse a ion Biology Volume 31, No. 2, 2017 372 Geodi e si y and Th ea ened Species Table 4. Resul s o analysis o a i y-weigh ed ichness (RWR) in ela ion o he geodi e si y, clima e, and opog aphy. Sel -s a is ics (SS) and c oss- alida ion s a is ics (CV) om he boos ed eg ession- ee modeling o RWR a e also shown. Abio ic p edic o ela i e in luence (%)a,b Taxon Sel -s a is ic C oss- alida ion s a is ic GDD MP ER TWIR CNGDc ock ich soil ich GM ich hyd o ich CGDd All 0.58 0.33 27.07 –26.08 27.54 7.93(−) 88.62 6.58 0.55(−) 3.16(−) 1.09 11.38 B yophy es 0.55 0.41 49.21(−) –5.55 6.02 6.95 67.73 0.04(−) 30.02 1.84 0.37(−) 32.27 Fungi 0.59 0.28 44.33 18.57 7.58 22.78 93.26 0.07 0.10 0.49 6.08 6.74 Vascula plan s 0.62 0.19 27.39 10.92(−)13.98(−) 7.09 59.38 8.13 12.85 6.38 13.26 40.62 a(−) indica es nega i e ela ionship be ween p edic o and a i y-weigh ed ichness. bP edic o s and abb e ia ions a e mo e ully desc ibed in Tables 1 and 2. cCNGD, combined nongeodi e si y p edic o s’ absolu e model in luence. dCGD, combined geodi e si y p edic o s’ absolu e model in luence. su ace ma e ials, o ms, and p ocesses–imp o ed model p edic ions, especially when we sampled he da a o in- clude only he ange o en i onmen s in which h ea - ened species a e known o occu . This sugges s ha clima ic g adien s may de e mine he egional species pools, and geophysical ac o s and local he e ogenei y ha e a g ea e in luence a ine scales. To assess he e ec o he sampling s a egy, we also an BRT models using a andom subse o absence cells; he esul s we e e y simila o hose epo ed abo e. Ou esul s a e o some ex en con ingen on he iden i ies and ela i e numbe s o a iables used in he analysis, al hough ou explo a o y da a analyses and model checking indica ed ha ou conclusions we e obus o hese issues. Ou indings a e consis en wi h hypo hesis H1and wi h p e ious s udies ha indica e he mal condi ions and ene gy a ailabili y a e among he majo limi ing ac- o s o species pa e ns in high la i udes, especially a la ge geog aphic ex en s (Hawkins e al. 2003; Field e al. 2009). This should apply pa icula ly o Finland, which is a long and na ow coun y ha ex ends o e 1000 km no h o sou h and hus has a s ong la i udinal g adien in clima e. Sampling he da a con olled clima e o some ex en because i emo ed om conside a ion he cells ha we e a om places wi h h ea ened species. E en so, he cells spanned nea ly he en i e leng h o Finland, and clima e emained ai ly dominan in he models. Al hough he s ong modeled e ec o g owing-deg ee days was consis en and always posi i e, h ea ened species ichness o di e en axonomic g oups had unique ela ionships wi h clima e, opog aphy, and geo- di e si y a iables, in line wi h he habi a he e ogenei y hypo hesis (H2). This was mos p ominen in analyses o he sampled da a, whe e absences we e es ic ed o cells neighbo ing p esences. We ound suppo speci - ically o he hypo hesis ha geodi e si y a iables im- p o e models o e and abo e clima e and opog aphy (H3). In he models, geodi e si y a iables gene ally had ela i ely small (consis en wi h Ande son e al. 2015) bu consis en addi i e e ec s and imp o ed he di e - si y models’ p edic i e abili y o bee les, b yophy es, and ascula plan s. Geodi e si y p edic o s we e mos impo an when using he sampled da a, a he han he ull da a se . Thus, al hough clima e is a key d i ing o ce, explici ly p io i izing he di e si y o geophysical se ings may help conse e abio ic and bio ic di e si y in a dy- namic clima e. O he geodi e si y a iables, ock- ype ichness was ela i ely impo an o he ichness ( aw and a i y weigh ed) o h ea ened ascula plan species and o h ea ened lichen species ichness. Elsewhe e, ock ich- ness has been i mly linked o biodi e si y o lichens (Spi ale & Nascimbene 2012) and plan s (e.g., Pausas e al. 2003; Kougioumou zis & Tiniakou 2014). Geomo - phological ichness was consis en ly signi ican (i no always s ong) in ou models, especially o aw ichness Conse a ion Biology Volume 31, No. 2, 2017