Photoprotection processes under water stress and recovery in Mediterranean plants with different growth forms and leaf habits

Size: px
Start display at page:

Download "Photoprotection processes under water stress and recovery in Mediterranean plants with different growth forms and leaf habits"

Transcription

1 Physiologi Plntrum 13: Copyright ª Physiologi Plntrum 7, ISSN Photoprotetion proesses under wter stress nd reovery in Mediterrnen plnts with different growth forms nd lef hits Jeroni Glmés, *, Anuniión Adí, Josep Cifre, Hipólito Medrno nd Jume Flexs Grup de Reer en Biologi de les Plntes en Condiions Mediterrànies, Universitt de les Illes Blers, Crreter de Vlldemoss Km.7.5, 7122 Plm de Mllor, Spin Deprtment of Plnt Nutrition, Estión Experimentl de Aul Dei, CSIC, Zrgoz, Spin Correspondene *Corresponding uthor, e-mil: jeroni.glmes@ui.es Reeived 22 Deemer 6; revised 8 Mrh 7 doi: /j x The response of photoprotetion mehnisms to short-term wter stress period followed y rewtering, to simulte ommon episodi wter stress periods ourring in Mediterrnen res, ws studied in 1 potted plnts representtive of different growth forms nd lef hits. During wter stress nd reovery, reltive wter ontent, stomtl ondutne, lef pigment omposition, eletron trnsport rtes, mximum quntum effiieny of PSII photohemistry ( ), therml energy dissiption nd photorespirtion rtes (P r ) were determined. All the speies nlyzed proved to e strongly resistnt to photointivtion of PSII under the imposed wter stress onditions. The responses of the nlyzed prmeters did not differ lrgely mong speies, suggesting tht Mediterrnen plnts hve similr needs nd pity for photoprotetion under episodi wter stress periods regrdless of their growth form nd lef hit. A generl pttern of photoprotetion emerged, onsisting in mintenne or inrese of P r t mild stress nd the inrese of the therml energy dissiption t more severe stress. Adjustments in pigment pool sizes were not n importnt short-term response to wter stress. The inrese of therml energy dissiption euse of wter stress depended mostly on the deepoxidtion stte of xnthophylls, lthough the slope nd kinetis of suh reltionship strongly differed mong speies, suggesting speies-dependent dditionl roles of de-epoxidted xnthophylls. Also, smll dereses in t predwn during wter stress were strongly orrelted with mintined deepoxidtion of the xnthophylls yle, suggesting tht form of xnthophylldependent sustined photoprotetion ws developed during short-term wter stress not only in evergreen ut lso in semideiduous nd nnul speies. Arevitions A N, net CO 2 ssimiltion rte; DPS, de-epoxidtion stte; DPS MD, middy de-epoxidtion stte; DPS PD, predwn de-epoxidtion stte; ETR, eletron trnsport rte; F m, mximum fluoresene; F m #, stedy-stte mximum fluoresene yield; F o, kground fluoresene signl; Fs, stedy-stte fluoresene signl;, mximum quntum effiieny of PSII photohemistry; g s, stomtl ondutne; MiWS, mild wter stress; MoWS, moderte wter stress;, non-photohemil quenhing of hlorophyll fluoresene; P r, photorespirtion rte; R L, rte of non-photorespirtory CO 2 evolution in the light; RW, rewtering; RWC PD, reltive wter ontent t predwn;, severe wter stress; VAZ, sum of violxnthin, ntherxnthin nd zexnthin. Physiol. Plnt. 13, 7 495

2 Introdution Summer wter defiit is onsidered the min environmentl onstrint for plnt growth nd survivl in Mediterrnen type eosystems. In these environments, nturl vegettion hs developed n rry of dpttions to drought, resulting in high diversity of life hits nd growth forms. The resulting vegettion onsists mostly of deep-rooted evergreen slerophyll trees nd shrus whih mintin green leves during the summer drought period, semideiduous shrus whih lose prt of their leves during summer, nd geophytes nd winter nnul hers whih espe drought y finishing their nnul yle efore summer (Ehleringer nd Mooney 1982). Low soil wter vilility during summer is ompnied y high temperture nd exessive rdition, whih imposes multiple stress to plnts (Di Cstri 1973). The omintion of these stresses n led to photoinhiition nd photodmge of the photosyntheti pprtus, whih my result in deresed photosyntheti pity nd, eventully, in plnt deth (Chves et l. 2, Peñuels et l. 4). Beuse of this, nd tking into ount the lrge vriility of hitt mirolimtes in the Mediterrnen region, s well s the stohsti distriution of rinfll, it is likely tht Mediterrnen plnts my hve evolved lrge diversity of photoprotetive mehnisms to ope with exess light, prtiulrly during the summer drought period. Mny photoprotetive mehnisms hve een desried in higher plnts (Björkmn nd Demmig- Adms 1994, Niyogi 1999), inluding reduing light sorption through lef or hloroplst movements, deresed Chl ontents or refletive strutures suh s hirs; regultion of energy dissiption through photohemil (e.g. photorespirtion) nd non-photohemil (e.g. sfe therml dissiption of exess sored light energy, vi the xnthophyll yle) mehnisms; svenging of retive oxygen speies formed euse of exess light nd repir nd resynthesis of photodmged omponents of the photosyntheti pprtus (e.g. D1 protein). Mny of these mehnisms hve een desried in Mediterrnen plnts. For instne, steep lef ngles hve een shown s effiient struturl photoprotetive fetures in perennil grsses like Stip tenissim (Vlldres nd Pugnire 1999), semideiduous shrus like Cistus lidus nd evergreen slerophyll shrus like Arutus unedo (Werner et l. 1999, 1). Some semideiduous shrus present nother mehnism to redue light sorption during summer, onsisting of prtil lef loss in prllel to sustntil loss of Chl in the remining leves (Kyprissis et l. 1995, ; Munné-Bosh nd Alegre, ). In Phlomis frutios, Chl loss during summer is not ompnied y deresed photohemil pity, whih suggests it s photoprotetive feture (Kyprissis et l. 1995). In the tussok grss S. tenissim, whih inhits more rid environments thn Phlomis, sustntil loss of Chl is ompnied y lrge redution in photohemil pity nd mrked derese in lef wter ontent, ut leves totlly reover fter utumn rinflls. This hs een interpreted s poikilohydri-type response llowing for greter tolerne to wter shortge in the most extreme Mediterrnen environments (Blguer et l. 2). Redued light sorption through umultion of red rotenoids in lef surfes hs lso een reently desried s prtiulr photoprotetive mehnism of the evergreen shru Buxus sempervirens (Hormetxe et l. 5). Mehnisms leding to retive oxygen svenging nd ntioxidnt protetion hve lso een desried in Mediterrnen plnts, prtiulrly in evergreen nd semideiduous shrus. These mehnisms inlude rotenoids (Munné-Bosh nd Peñuels 3), isoprene (Affek nd Ykir 2), toopherols (Munné- Bosh nd Peñuels 4), diterpenes (Munné-Bosh et l. 1) nd enzymti ntioxidnts (Kyprissis et l. 1995). Besides these mehnisms, therml energy dissiption in the pigment ed, ssoited with the so-lled xnthophyll yle, is usully regrded s the most importnt photoprotetion mehnism in higher plnts (Demmig et l. 1987, Björkmn nd Demmig-Adms 1994). The first evidenes tht wter stress inresed deepoxidtion of the xnthophyll yle were in ft desried in the Mediterrnen evergreen slerophylls Nerium olender (Demmig et l. 1988) nd A. unedo (Demmig-Adms et l. 1989). Sine then, sustntil evidene hs een umulted for inresed deepoxidtion of the xnthophyll yle during summer in Mediterrnen evergreens (Gulís et l. 2, Peñuels et l. 4), semideiduous (Munné-Bosh et l. 3) nd perennil hers (Blguer et l. 2). An inrese in the totl xnthophyll pool during summer is lso usully oserved (Grí-Plzol et l. 1997, Fri et l. 1998), lthough not in ll the speies (Munné-Bosh et l. 3). However, most of these studies hve een foused on evergreen shrus nd trees nd semideiduous shrus, while muh less informtion is ville for semishrus or perennil hers. On the other hnd, most of these studies hve nlyzed the vrition of photoprotetive mehnisms during the seson. The short-term response (i.e. dys to weeks), whih my e most relevnt euse of the undne of episodi drought periods in Mediterrnen res, hs een less evluted, prtiulrly in reltion to reovery fter rewtering (RW). In the present study, we ssessed the reltionship etween the xnthophyll yle nd therml dissiption nd deresed 496 Physiol. Plnt. 13, 7

3 quntum effiieny of PSII during short-term wter stress nd reovery in Mediterrnen plnts with different lef hits nd growth forms. The ojetives were (1) to study how photoprotetion responds to wter stress in Mediterrnen plnts differing in growth forms, nd (2) to investigte the vriility in the reovery of photoprotetion nd photoinhiition fter RW. Mterils nd methods Plnt mteril Ten Mediterrnen speies nturlly ourring in the Bleri Islnds, five of them endemi to these islnds, were seleted for this study (Tle 1). Speil re ws tken in the seletion of the speies, in order to inlude txons representing different growth forms nd lef hits: two evergreen slerophyll shrus (Pisti lentisus nd Hyperium lerium), two evergreen slerophyll semishrus (Limonium giertii nd Limonium mgllufinum), three summer semideiduous shrus (Lvter mritim, Phlomis itli nd C. lidus), two perennil hers (Bet mritim ssp. mritim nd Bet mritim ssp. mrosii) nd n nnul her (Diplotxis iiensis). Seeds of eh speies were olleted in the field from nturl popultions nd tken from severl prent plnts to otin representtive smple of popultions in the nture. Seeds were germinted on filter pper moistened with deionized wter in ontrolled environment (germintion hmer, t 18 C in drkness). After germintion nd emergene of one true lef, 1 seedlings were trnsplnted into pots (25 l volume, m height) ontining :: mixture of ly-lreous soil, hortiulturl sustrte (pet) nd perlite (grnulometry A13). Plnts were grown outdoors t the University of the Bleri Islnds (Mllor, Spin). The experiment ws performed in five rounds, eh one with one ouple of speies t the sme time during the lte spring erly summer 3 nd 4. Four weeks efore strting the experiment, plnts were pled in ontrolled growth hmer with 12-h photoperiod (26 C dy/ C night) nd photon flux density t the top of the leves of out mmol m 22 s 21. Plnts were dily irrigted with 5% Hoglnd s solution. Mesurements orresponding to ontrol tretments were mde during the first dy of the experiment, when ll the plnts were well wtered. Therefter, irrigtion ws stopped in five plnts for eh speies. Pots were dily weighed to determine the mount of wter ville for plnts with respet to tht in ontrol plnts. Mesurements were mde on dys 4, 8 nd fter wter withholding, when plnts were sujeted to mild wter stress (MiWS), moderte wter stress (MoWS) nd severe wter stress () intensities, respetively. Eh experiment ws stopped when the stomtl ondutne (g s ) ws lose to zero. At this time, pots were irrigted t field pity, nd mesured the following dy, onsidering it the RW tretment. Control plnts (C) were wtered dily to field pity throughout the experiment nd mesured every 5 6 dys to ensure tht they mintined onstnt vlues of eh prmeter during the experiment. Plnt wter sttus Reltive wter ontent t predwn (RWC PD ) ws determined s follows: RWC ¼ (FW 2 DW)/(turgid weight 2 DW) 1. Turgid weight ws determined fter pling the smples in distilled wter in drkness t 4 C to minimize respirtion losses, until they rehed onstnt weight (full turgor, typilly fter 24 h). DW ws otined fter 48 h t C in n oven. Four replites per speies nd tretment were otined from different individuls. Chl fluoresene mesurements Chl fluoresene prmeters were mesured on tthed leves using portle pulse mplitude modultion fluorometer (PAM-, Wlz, Effeltrih, Germny). For eh smpling time, tretment nd speies, four mesurements were mde on different plnts. A mesuring light of out.5 mmol photon m 22 s 21 ws set t frequeny of Hz to determine, t predwn, the kground fluoresene signl (F o ), the mximum fluoresene (F m ) nd the mximum quntum effiieny of PSII photohemistry ( ¼ (F m 2 F o )/F m ). At middy, stedy-stte fluoresene signl (F s ) ws mesured on the sme leves with photon flux density round 15 mmol m 22 s 21. To otin the stedy-stte mximum fluoresene yield (F m #), sturtion pulses of out 1 mmol photon m 22 s 21 nd.8 s durtion were pplied. The Stern Volmer non-photohemil quenhing of Chl fluoresene () t middy ws lulted using the expression ¼ (F m 2 F m #)/F m #. The PSII photohemil effiieny (Genty et l. 1989) ws then lulted s DF=F m # ¼ F m # 2F s =Fm # nd used for the lultion of the liner eletron trnsport rte (ETR) ording to Krll nd Edwrds (1992): ETR ¼ DF=F m # PPFD ; where PPFD is the photosynthetilly tive photon flux density, is the lef sorptne nd is ftor tht Physiol. Plnt. 13, 7 497

4 Tle 1. List of speies onsidered with their growth form, fmily nd rief desription. The numer of plnts used ws 1 per speies, nd the ge differed euse of the different phenology of the speies seleted. Plnts of Pisti lentisus, Hyperium lerium, Cistus lidus, Phlomis itli nd Lvter mritim were 3 yers old, plnts of Limonium mgllufinum nd Limonium giertii were yers old nd plnts of Diplotxis iiensis, Bet mritim ssp. mrosii nd B. mritim ssp. mritim were 6 months old t the onset of the experiments. Growth form Speies Code Fmily Desription Hers B. mritim L. ssp. mrosii A Jun nd MB Crespo MC Chenopodiee Perennil her. Endemi of the Bleri Islnds, inhiting few smll islets sujeted to strong sline spry. B. mritim L. ssp. mritim MT Chenopodiee Perennil her inhiting ostl eosystems. Widespred in Mediterrnen nd temperte limtes. D. iiensis Pu DI Brssiee Annul her, endemi of the Bleri Islnds nd inhiting few ostl lotions. Semideiduous shrus L. mritim Goun LA Mlvee Semideiduous shru up to 2 m, densely overed y hirs. Inhits in ostl lotions. P. itli L. PI Lite Semideiduous shru up to 1 m, densely overed y hirs. Endemi of the Bleri Islnds. The iggest popultions re found 5 m ove the se level, where they oexist with C. lidus. C. lidus L. CA Cistee Semideiduous shru up to 1 m. Commonly found in the Mediterrnen grigue. Its leves re densely overed y hirs. Woody evergreen shrus Woody evergreen semishrus H. lerium L. HB Guttifere Woody evergreen shru up to 2 m, endemi of the Bleri Islnds. The iggest popultions re found in the grigue 5 m ove the se level, where ompetes with P. lentisus. P. lentisus L. PL Anrdiee Woody evergreen shru up to 5 m, ommonly found in the Mediterrnen grigue. L. mgllufinum L. Llorens LM Plumginee Woody evergreen semishru, in ushion-like rosettes. Endemi of the Bleri Islnds, inhiting just in one ostl mrsh loted in Mglluf, Mllor. L. giertii (Sennen) Sennen LG Plumginee Woody evergreen semishru, in ushion-like rosettes. Ourring in West Mediterrnen roky nd sndy ostl res. ssumes equl distriution of energy etween the two photosystems (the tul ftor hs een desried to e etween.4 nd.6; Lisk nd Loreto 1996). Lef sorptnes were determined for ll 1 speies in 1 replites on leves of well-irrigted plnts with spetrordiometer oupled to n integrtion sphere (Uni- Spe, PP-Systems, Amesury, MA). A vlue of.84 ws otined for ll speies, exept for C. lidus nd P. itli, whih presented lef sorptne vlues of.74 nd.77, respetively. Potentil hnges in lef sorptne with wter stress were not ssessed ut, euse hnges in Chl ontent were smll or nonsignifint depending on the speies, they were ssumed to e negligile, induing no importnt ises in the lultions of ETR. Gs exhnge mesurements Light-sturted net CO 2 ssimiltion rtes (A N ) nd g s were mesured t midmorning in one tthed, fully developed young lef of four plnts per speies nd tretment with gs exhnge system (Li-, Li-Cor In., Linoln, NE). Environmentl onditions in the hmer used for lef mesurements onsisted in photosyntheti photon flux density of 15 mmol m 22 s 21, vpor pressure defiit of kp, n ir temperture of 25 C nd n mient CO 2 onentrtion (C )ofmmol mol ir 21. After induing stedy-stte photosynthesis, four photosynthesis response urves to vrying sustomtl CO 2 onentrtion (C i ) were performed per speies nd tretment, nd used to determine the rte of 498 Physiol. Plnt. 13, 7

5 non-photorespirtory CO 2 evolution in the light (R L )on the sme tretment, s in Grssi nd Mgnni (5). Photorespirtion estimtions From omined gs exhnge nd Chl fluoresene mesurements, the photorespirtion rte (P r ) ws lulted ording to Vlentini et l. (1995). In their model, they ssumed tht ll the reduing power generted y the eletron trnsport hin is used for photosynthesis nd photorespirtion, nd tht Chl fluoresene gives relile estimte of the quntum yield of eletron trnsport. Thus, P r n e solved from dt of A N,R L nd ETR, nd from the known stoihiometries of eletron use in photorespirtion, s follows (Vlentini et l. 1995): P r ¼ 1/12 [ETR 2 4(A N 1 R L )]. Pigment nlyses Immeditely fter Chl fluoresene mesurements (t predwn nd middy), diss were punhed from leves of the sme plnts showing the sme orienttion s those used for fluoresene mesurements nd sumersed into liquid nitrogen. Four smples per tretment nd speies were tken from different plnts (four leves per smple). Pigments were extrted y grinding lef tissue in mortr with etone in the presene of sodium sorte. Pigments were identified nd quntified y high-performne liquid hromtogrphy ording to Adí nd Adí (1993) with modifitions s desried in Lri et l. (4). The de-epoxidtion stte (DPS) of the xnthophylls yle ws lulted s (Z 1.5A)/(V 1 Z 1 A), where Z is zexnthin, A is nterxnthin nd V is violxnthin. Sttistil nlysis Simple liner regression oeffiients were lulted using SPSS 1 softwre pkge (Anon 199). A set of simple ANOVA were mde to ompre the different speies nd tretments. Differenes etween mens were reveled y Dunn nlyses (P <.5) performed with the SPSS 1 softwre pkge. For eh tretment, luster nlysis nd prinipl omponent nlysis were performed using STATGRAPHICS PLUS 5.1 softwre pkge (Mnugistis 1998) in order to group oth the speies nd prmeters nlyzed in few more omprehensive vriles. Results Plnt wter sttus Lef RWC PD deresed s wter stress intensified (Tle 2). Under optiml onditions, RWC PD rnged from.2% for D. iiensis to 94.8% for P. lentisus. Under, RWC PD rnged from 37.9% for P. itli to 69.5% for L. mgllufinum. g s strongly differed mong speies nd growth forms, pproximtely in 1-fold rnge (Tle 2). Under well-wtered onditions, L. mritim showed the highest g s (22 mol H 2 O m 22 s 21 ), while P. lentisus hd the lowest (.122 mol H 2 Om 22 s 21 ). g s deresed in ll the speies to vlues etween nd.6 mol H 2 Om 22 s 21 s wter limittion inresed. Pigment omposition under wter stress nd reovery Under well-wtered onditions, lef Chl ontent expressed on n re sis t middy ws found to e higher in the two Limonium speies, with nd mmol m 22 for L. mgllufinum nd L. giertii, respetively (Fig. 1), while C. lidus presented the lowest vlues (281.1 mmol m 22 ). Inresing wter stress tretment influenes on Chl lrgely depended on the speies. In some speies (the two Bet, L. mritim nd C. lidus), Chl ws inresed under with respet to ontrol plnts (P <.5). In ddition to this diversity in the speies response to wter limittion, high vriility in the intensity nd the timing of the Chl evolution euse of wter stress ws lso found. For instne, the two Bet speies, whih inresed their Chl s wter stress intensified, presented different pttern: B. mritim ssp. mrosii inresed Chl t MoWS, while B. mritim ssp. mritim t. Twenty-four hours fter refilling pots t field pity, Chl evolution lso depended strongly on the speies (Fig. 1). Hene, four speies mintined similr Chl t RW tretment when ompred with, nd the remining six speies deresed Chl fter RW (P <.5). It is remrkle tht in B. mritim ssp. mritim nd P. itli, dereses of Chl fter RW resulted in vlues signifintly lower thn those mesured under well-wtered onditions (P <.5). The sum of violxnthin, ntherxnthin nd zexnthin (VAZ) per unit lef re t middy under wellwtered onditions rnged from 11.2 mmol m 22 for C. lidus to 5.3 mmol m 22 for L. mritim (Fig. 1). VAZ per unit lef re ws ffeted y wter stress only in C. lidus, eing signifintly inresed (P <.5). As ourred with Chl, refilling wter t field pity fter resulted in speifi pttern strongly dependent on speies. Under ontrol onditions, lutein ontent t middy expressed on Chl sis ws found to e more similr mong speies thn other pigments, rnging etween 94 nd 127 mmol mol 21 Chl. Lutein ontent on Chl sis Physiol. Plnt. 13, 7 499

6 Tle 2. RWC PD nd g s for the 1 seleted speies under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. C MiWS MoWS RW Bet mritim ssp. mrosii RWC PD g s B. mritim ssp. mritim RWC PD g s Diplotxis iiensis RWC PD g s Lvter mritim RWC PD g s Phlomis itli RWC PD g s Cistus lidus RWC PD g s Hyperium lerium RWC PD g s Pisti lentisus RWC PD g s Limonium mgllufinum RWC PD g s Limonium giertii RWC PD g s ws unffeted or enhned y inresing wter stress intensity (Fig. 2). D. iiensis, P. itli, C. lidus nd L. giertii presented n inrese in lutein ontent under when ompred with well-wtered plnts. Other rotenoids suh s neoxnthin did not show ny speifi trend of response to wter stress (dt not shown). VAZ ontent expressed on Chl sis inresed under t middy only in C. lidus nd L. giertii (P <.5), while for the remining speies it ws found to e unffeted (Fig. 2). Agin, the intensity nd timing of the VAZ/Chl evolution euse of inresing wter stress were highly speies dependent. Fig. 3 shows the evolution of violxnthin, ntherxnthin nd zexnthin t middy throughout the wter stress experiment. Among well-wtered plnts, the woody evergreen shrus, with out 65% of VAZ pigments eing violxnthin, presented the lowest perentge of violxnthin with respet to totl VAZ pool. On the ontrry, in ll the remining speies violxnthin ounted for pproximtely 9% of totl VAZ pool in ontrol plnts, exept for B. mritim ssp. mrosii with n intermedite ehvior. In ll the speies, exept the two Limonium, violxnthin ontent deresed with deresing wter vilility (P <.5), with proportionl inrese of zexnthin (Fig. 3). Antherxnthin ws kept t lmost onstnt onentrtion through the entire experiment, nd signifint inreses euse of wter stress were only oserved in D. iiensis, L. mritim nd L. giertii (P <.5). After RW, ll the speies exept L. mgllufinum inresed violxnthin nd deresed zexnthin k to ontrol vlues. All these hnges in xnthophylls omposition indued similr trends in the DPS of xnthophylls. Both t predwn nd middy, DPS ws lrgely inresed in prllel with inresing wter stress intensity (dt not shown). However, lrge differenes were otined in DPS mong speies. For instne, under middy de-epoxydtion stte (DPS MD ) rnged from.1 in L. mgllufinum to more thn.6 in H. lerium nd B. mritim ssp. mrosii, 5 Physiol. Plnt. 13, 7

7 Chl + (µmol m 2 ) B. mritim ssp. mrosii B. mritim ssp. mritim VAZ (µmol m 2 ) Chl + (µmol m 2 ) D. iiensis L. mritim VAZ (µmol m 2 ) Chl + (µmol m 2 ) P. itli C. lidus VAZ (µmol m 2 ) Chl + (µmol m 2 ) Chl + (µmol m 2 ) H. lerium WES L. mgllufinum WESS P. lentisus WES L. giertii WESS VAZ (µmol m 2 ) VAZ (µmol m 2 ) C MiWS MoWS RW Tretment C MiWS MoWS RW Tretment Fig. 1. Totl Chl ontent (Chl 1, d) nd the sum of violxnthin, ntherxnthin nd zexnthin (VAZ, s), expressed in mmol m 22,t middy under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. Different letters denote sttistil differenes y Dunn test (P <.5) mong tretments for eh prmeter. Growth form revitions:, hers;, semideiduous shrus; WES, woody evergreen shrus; WESS, woody evergreen semishrus. P. itli nd H. lerium. After RW, the extent of reovery of DPS MD ws highly speies dependent, from no reovery (D. iiensis) to totl reovery (L. giertii). Pigment omposition t predwn (not shown) followed pttern similr to tht oserved t middy. In Fig. 2. Lutein (d) nd the VAZ (s) t middy, expressed in mmol mol 21 Chl, t middy under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. Different letters denote sttistil differenes y Dunn test (P <.5) mong tretments for eh prmeter. Growth form revitions:, hers;, semideiduous shrus; WES, woody evergreen shrus; WESS, woody evergreen semishrus. ft, orreltions mong vlues mesured t middy nd predwn were highly signifint (P <.1) for ll the pigments onsidered in the study. As expeted, for ll the speies, VAZ pool ws lwys in highly epoxidted stte t predwn for most tretments. This ws euse of lower onentrtion of zexnthin t expenses of n inrese in the violxnthin ontent, while the nterxnthin ontent did not hnge Physiol. Plnt. 13, 7 51

8 B. mritim ssp. mrosii C D. iiensis H. lerium WES L. mgllufinum WESS MiWS MoWS P. itli Tretment d RW B. mritim ssp. mritim L. mritim Tretment signifintly. Finlly, vritions of Chl nd VAZ onentrtions from predwn to middy, when ourred, were speies speifi nd no-generl pttern ws oserved. d C d MiWS C. lidus P. lentisus WES L. giertii WESS MoWS d Fig. 3. Violxnthin (V, d), ntherxnthin (A, s) nd zexnthin (Z, ;) t middy, expressed in mmol mol 21 Chl, under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. Different letters denote sttistil differenes y Dunn test (P <.5) mong tretments for eh pigment. Growth form revitions:, hers;, semideiduous shrus; WES, woody evergreen shrus; WESS, woody evergreen semishrus. RW Photoprotetion nd photoinhiition under wter stress nd reovery As wter stress intensified, P r ws kept t ontrol vlues or inresed, depending on the speies, nd only t MoWS to did photorespirtion deline (Fig. 4). P r (% ontrol) P r (% ontrol) P r (% ontrol) P r (% ontrol) P r (% ontrol) B. mritim ssp. mrosii D. iiensis P. itli H. lerium WES C MiWS MoWS RW d d d L. mgllufinum WESS Tretment B. mritim ssp. mritim L. mritim C. lidus P. lentisus WES L. giertii WESS C MiWS MoWS RW Tretment Fig. 4. P r (expressed s % in respet to ontrol tretment vlues, d) nd middy (s) under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. Different letters denote sttistil differenes y Dunn test (P <.5) mong tretments for eh prmeter. Growth form revitions:, hers;, semideiduous shrus; WES, woody evergreen shrus; WESS, woody evergreen semishrus. d 52 Physiol. Plnt. 13, 7

9 inresed progressively s wter stress intensified, prtiulrly t MoWS to (Fig. 4), while it ws negtively orrelted with P r (r ¼.476, P <.1). Both P r nd orrelted with soil wter vilility (r ¼.386, P <.1, nd r ¼.591, P <.1, respetively). The mximum vlues rehed under stress were similr in ll speies (etween nd ). After RW, ll the speies exept C. lidus showed some relxtion of, ut only in B. mritim ssp. mritim, H. lerium nd P. lentisus the relxtion ws omplete (Fig. 4). By ontrst, the, mesured t predwn, followed pttern tht differed mong speies (Fig. 5). The lowest vlues of mximum were generlly higher thn.75, nd only in P. lentisus deresed to.. All the speies exept L. mgllufinum progressively deresed s wter stress intensified nd presented signifintly lower vlues t with respet to ontrol (P <.5). The semideiduous shrus L. mritim nd P. itli showed signifint dereses t MoWS (P <.5). In the other speies, ws mintined t ontrol vlues or delined only slightly (nd often nonsignifintly) from MiWS to MoWS nd delined to some extent t. The only exeption ws L. mgllufinum, whih mintined high vlues through the entire experiment. A lrge vriility ws lso oserved in the reovery of fter RW, from totl (L. mritim) or ner totl (H. lerium, C. lidus) to lmost no reovery (D. iiensis, P. lentisus, B. mritim ssp. mrosii). Finlly, in four speies (B. mritim ssp. mritim, the two Limonium nd P. itli), there ws some deline of fter RW. In well-wtered plnts, the rte of liner ETR rnged from 294 mmol e 2 m 22 s 21 for L. mritim to 122 mmol e 2 m 22 s 21 C. lidus (Fig. 5). ETR deresed signifintly in ll speies euse of wter stress imposition, with the lowest vlues oserved under, where P. lentisus presented the lowest ETR, with 35 mmol e 2 m 22 s 21,ndL. mritim the highest, with 167 mmol e 2 m 22 s 21. After RW ll speies inresed ETR, ut the extent of suh reovery ws speies-speifi response nd did not depend on the extent of previous derese in ETR. Disussion Pigment omposition under wter stress nd reovery Although Chl loss hs een onsidered negtive onsequene of stress, deresed Chl ontent hs lso een desried in some Mediterrnen speies s regultory mehnism to redue the mount of photons sored y leves, onferring some degree of photoprotetion B. mritim ssp. mrosii P. itli D. iiensis H. lerium WES L. mgllufinum WESS C MiWS MoWS RW Tretment B. mritim ssp. mritim L. mritim C. lidus P. lentisus WES L. giertii WESS C MiWS MoWS RW Tretment under drought (Blguer et l. 2, Kyprissis et l., Munné-Bosh nd Alegre ). However, in the present study, lef Chl ontent ws generlly unffeted y wter stress, with few exeptions (Fig. 1). This suggests tht djusting Chl my not e mjor photoprotetive response to short-term wter stress or tht the presene of suh response is strong speies-dependent Fig. 5. of PSII mesured t predwn (d) nd the liner ETR (s) under different tretments: ontrol (C), MiWS, MoWS, nd RW. Vlues re mens SE of four replites per speies nd tretment. Different letters denote sttistil differenes y Dunn test (P <.5) mong tretments for eh prmeter. Growth form revitions:, hers;, semideiduous shrus; WES, woody evergreen shrus; WESS, woody evergreen semishrus. 5 ETR (µmol e-m 2 s 1 ) ETR (µmol e-m 2 s 1 ) ETR (µmol e-m 2 s 1 ) ETR (µmol e-m 2 s 1 ) ETR (µmol e-m 2 s 1 ) Physiol. Plnt. 13, 7 53

10 feture. This ft seems to e in ordne with previous studies tht questioned the role of hnges in Chl ontent in regulting light intereption (Björkmn nd Demmig- Adms 1987). The VAZ per unit lef re hs een shown to inrese (Grí-Plzol et l. 1997), remin onstnt (Kyprissis et l. 1995, Munné-Bosh et l. 3) or even derese (Blguer et l. 2, Munné-Bosh nd Peñuels 3) in different Mediterrnen speies from spring to lte summer. Our results seem to support those works suggesting tht VAZ per unit lef re is not signifintly ffeted y wter stress (Fig. 1), exept in C. lidus. Furthermore, in ordne with previous reports in Mediterrnen plnts (Mrtínez-Ferri et l. ) nd tropil evergreens (Demmig-Adms nd Adms 6), no inverse reltionship etween VAZ size nd photosyntheti pity mong speies ws found. Inresing VAZ pool per Chl my e nother mehnism to inrese photoprotetion pity in leves, nd it hs een shown to generlly our during summer in oth evergreen slerophylls nd semideiduous shrus (Fri et l. 1998, Kyprissis et l. 1995, ). In short-term wter stress experiments, VAZ/Chl rtio hs een shown to inrese in the evergreen slerophylls A. unedo (Munné-Bosh nd Peñuels 4) nd Phillyre ngustifoli (Munné-Bosh nd Peñuels 3, Peñuels et l. 4). In the present study, none of the two woody evergreen shrus nlyzed (P. lentisus nd H. lerium) presented suh n inrese (Fig. 2), suggesting tht this my not e speifi feture of evergreen slerophyll speies. An inresed VAZ/Chl rtio in response to wter stress, ompnied y inreses in the lutein ontent, ws oserved only in three of the speies nlyzed (Fig. 2), n evergreen semishru (L. giertii) nd two semideiduous shrus (C. lidus nd P. itli). Therefore, in the speies nlyzed neither Chl nor totl VAZ pool djustments seemed to e importnt responses to short-term wter stress. However, hnges in the de-epoxydtion stte of the xnthophylls yle were generl fte in ll the speies (Fig. 3). In generl, wter stress tivted the de-epoxidtion of violxnthin to zexnthin, while ntherxnthin ws kept t more onstnt onentrtion through the entire experiment (Fig. 3). Zexnthin formtion is relted to the dissiption of exess sored light s het, s indited y the strong orreltions found etween the DPS of the xnthophylls yle nd (s disussed in the next setion). Photoprotetion nd photoinhiition under wter stress nd reovery When photosynthesis progressively delines with drought, photorespirtion nd therml energy dissiption re regrded s the most importnt photoprotetive mehnisms leding to dissiption of exess sored light (Powles nd Osmond 1978, Demmig et l. 1988, Flexs nd Medrno 2). The importne of lterntive eletron sinks, suh s the Mehler-sorte peroxidse retion, hs een shown to e minor oth under wellwtered onditions nd drought in other Mediterrnen speies (Flexs nd Medrno 2). In the present study, photorespirtion delined when wter stress eme MoWS to, onomitntly with inreses in the, n inditor of therml energy dissiption in the pigment ed (Björkmn nd Demmig-Adms 1994) (Fig. 4). These results demonstrte tht, s lredy shown for some Mediterrnen evergreen slerophylls (Grí- Plzol et l. 1997, Gulís et l. 2), mintining photorespirtion nd inresing re ommon responses to wter stress in other Mediterrnen speies, inluding hers nd semideiduous shrus. Remrkly, most of the speies inresed the photorespirtory oxygen metolism from ontrol to MiWS, in ordne with Flexs nd Medrno (2). Björkmn nd Demmig- Adms (1994) lredy pointed tht the rte of photorespirtion nd hene its ontriution to energy dissiption would e expeted to e greter in temporrily wterstressed leves in whih the intrinsi photosyntheti pity remined unhnged nd the deline in A N is minly euse of derese in interellulr CO 2 pressure, s ourred in the present study (dt not shown). Role of the photorespirtory oxygen metolism in photoprotetion hs een lrgely desried (Flexs nd Mendrno 2, Niyogi 1999). Remrkly, the only speies tht did not present the initil inrese t MiWS ws L. giertii, whih hs een shown to present the highest vlue of Ruiso speifiity for CO 2 up to now desried in higher plnts (Glmés et l. 5). As usully desried in Mediterrnen (Dmesin nd Rml 1995, Vlldres et l. 5) s well s in non- Mediterrnen speies (Flexs et l. 4), dereses in were generlly smll (exept for P. lentisus) lthough signifint, inditing only minor photoinhiitory effet of wter stress. Although the mximum extent of deline did not differ mong growth forms, there ws ertin effet of growth form in the pttern of response to wter stress euse the semideiduous speies delined progressively from erly stges of stress, while in other groups it delined only t. This wter stress-indued deline in ws not ompnied y deresed Chl ontent (Fig. 1), nd hene my not e ssoited with the photoprotetive mehnism onsisting of deresing light sorption, s desried for P. frutios or S. tenissim (Blguer et l. 2, Kyprissis et l. 1995). Although the semideiduous speies inluded in this study provide severl morphologil 54 Physiol. Plnt. 13, 7

11 dpttions, e.g. lef trihomes, high lef refletne, these were not suffiient to prevent some derese of F v / F m in plnts sujeted to stress. Different mehnisms my operte to derese, depending on the speies. For instne, in L. mritim, deresing ws prlleled y progressive inrese of F o (dt not shown), therefore suggesting progressive photointivtion of PSII enters from erly wter stress stges. By ontrst, F o progressively delined in P. itli nd C. lidus, suggesting tht deresed ws refleting sustined photoprotetion in these two speies. Alterntively, deresed ould e refleting other uses, suh s hnges in PSI fluoresene, unoupling of externl ntenne, et. Whtever the reson, dereses in were low nd did not limit ETR (Fig. 5). The extent of reovery of ws not dependent on plnt growth form. For instne, mong the evergreens, reovery ws null in P. lentisus while lmost omplete in H. lerium. Also, the extent of reovery did not depend on the mximum extent of depression hieved during wter stress. For instne, reovery ws omplete in L. mritim nd null in D. iiensis, while oth speies hd hieved similr. In four speies (B. mritim ssp. mritim, the two Limonium nd P. itli), there ws some deline of fter RW, whih in three of them ws ompnied y deresed hlorophyll ut not xnthophyll ontent (Fig. 1). This hs een lredy oserved fter wter stress in Vign unguiult (De Souz et l. 4) nd fter photoinhiitory experiments in different speies (J. Flexs, J. Glmés, nd H. Medrno, Universitt de les Illes Blers, Plm, unpulished dt). Proly, this effet my e relted to some memrne dmge used y RW, or it my e euse of the ft tht reovery of PSII fter photoinhiition requires degrdtion nd de novo synthesis of dmged omponents, prtiulrly D1 protein (Aro et l. 1994). Assuming tht this is generl proess tht my our in ll speies, differenes in the oserved ehvior of t fixed time (24 h) fter RW my reflet interspeifi differenes in the veloity with whih they n reover PSII. In this sense, L. mritim would e the speies with the fstest pity for reovery, followed y H. lerium nd C. lidus. The four speies showing deline of during reovery mesurements my hve n intermedite speed, hving lredy strted the proess 24 h fter RW, while those showing no hnge (D. iiensis, P. lentisus, B. mritim ssp. mrosii) my e regrded s hving the lowest pity nd/or veloity for reovery. It is remrkle tht lso in speies showing no wter stress-indued deline of, suh s L. mgllufinum, ws deresed fter RW. Generl pttern of photoprotetive responses to stomtl losure Despite the oserved differenes etween speies in photoprotetion nd photoinhiition response to wter stress, they ll respond to generl pttern desried for C 3 plnts when g s is used s referene for wter stress intensity (Flexs nd Medrno 2, Flexs et l. 4). This pttern is hrterized y two phses of response to wter stress, first phse orresponding to g s delining from mximum to out.15. mol H 2 Om 22 s 21, nd seond phse orresponding to further dereses in g s (Fig. 6). During the first phse, photorespirtion ts s mjor photoprotetive mehnism, eing kept t ontrol vlues or even inresed (Fig. 6A), while inreses only slightly (Fig. 6B) nd is mintined ove.8 (Fig. 6C), inditing little or no photoinhiition. During the seond phse, photorespirtion dereses (Fig. 6A) nd lrgely inreses (Fig. 6B), suggesting tht therml dissiption eomes the mjor photoprotetive mehnism during this phse. In this phse, dereses of eventully our, to n extent tht lrgely differs mong speies (Fig. 6C). The deline of under severe wter stress my e understood s onsequene of wter stress-indued photosynthesis deline rther thn its use euse ETR (Fig. 5) nd net photosynthesis (not shown) strt to deline well efore nd hieve muh lrger redutions. Another indition tht wter stress-indued vritions in did not limit photosynthesis omes from the ft tht despite ws further redued fter RW in four speies, ETR nd net photosynthesis simultneously reovered y out 5% in these speies, s well s in those showing no reovery exept P. lentisus (Fig. 5 nd dt not shown). These results re onsistent with the ft tht leves present muh lrger PSII onentrtion thn needed for photosynthesis, so tht up to 5% of PSII units n e dmged efore ny effet is detetle in photosynthesis (Lee et l. 1999). Reltionship etween therml dissiption nd pigment omposition Highly signifint orreltions were found etween DPS MD nd, whih suggest tht lrge prt of the is relted to DPS in Mediterrnen speies (Fig. 7). However, the slope nd kinetis of suh reltionship strongly differed mong speies, suggesting speiesdependent dditionl roles of de-epoxidted xnthophylls (Demming-Adms nd Adms 6). PSII effiieny did not return to optimum vlues efore dwn under in ny speies. However, the signifint orreltions oserved etween predwn de-epoxidtion Physiol. Plnt. 13, 7 55

12 B. vulgris ssp. mrosii r 2 =.941 B. vulgris ssp. mritim r 2 =.549 D. iiensis r 2 =.672 L. mritim r 2 =.99 P. itli r 2 =.93 C. lidus r 2 =.971 H. lerium r 2 =.718 P. lentisus r 2 =.51 L. mgllufinum r 2 =.925 L. giertii r 2 = Fig. 6. Reltionship etween g s nd (A) P r (expressed s % in respet to ontrol tretment vlues), (B) middy nd (C). Vlues re mens SE of four replites per speies nd tretment. RW vlues were not inluded. Symols nd speies re s follows: d, Diplotxis iiensis; s, Bet mritim ssp. mrosii; n, Bet mritim ssp. mritim; h, Limonium mgllufinum; :, Limonium giertii; n, Phlomis itli; ;, Lvter mritim;,, Cistus lidus;, Pisti lentisus; ), Hyperium lerium. stte (DPS PD ) nd efore dwn for most of the speies (Fig. 8) suggest tht the low PSII ws proly the result of sustined inreses in the DPS of the xnthophyll yle rther thn result of photoinhiitory dmge to the leves. This my reflet one of the two forms of the zexnthin-relted sustined photoprotetion forms, desried in evergreen speies (Demming-Adms nd DPS MD DPS MD Fig. 7. Reltionship etween the middy nd the DPS MD for the five tretments studied. Regression oeffiients re shown for eh one of the speies. Mesurements orresponding to RW tretment re indited y s nd were not onsidered for the regression djustment. Vlues re mens SE of four replites per speies nd tretment. Adms 6). Remrkly, the present results suggest tht this form of sustined photoprotetion my lso our in some Mediterrnen semideiduous shrus, perennils nd nnuls. As lredy shown for the reltionship etween nd DPS MD, the slope of the reltionship etween nd DPS PD ws lso dependent on the speies, with no pprent reltion to speies growth forms (Fig. 8). It is lso worth nothing tht in oth 56 Physiol. Plnt. 13, 7

13 B. mritim ssp. mrosii r 2 =.323 D. iiensis r 2 =.887 P. itli r 2 =.584 H. lerium r 2 =.611 L. mgllufinum r 2 = DPS PD B. mritim ssp. mritim r 2 =.776 L. mritim r 2 =.5 C. lidus r 2 =.565 P. lentisus r 2 =.937 L. giertii r 2 = DPS PD reltionships, the vlue fter RW does not lwys fit the sme regression line desried for the remining tretments, phenomenon tht my deserve further ttention in future studies. Differenes in photoprotetion mong growth forms nd evolutionry groups Fig. 8. Reltionship etween the mesured t predwn nd DPS PD of the xnthophyll yle, for the five tretments studied. Regression oeffiients re shown for eh one of the speies. Mesurements orresponding to RW tretment re indited y s nd were not onsidered for the regression djustment. Vlues re mens SE of four replites per speies nd tretment. Note the different y-xis sle for Pisti lentisus. Five of the 1 speies inluded in the present work were endemi of the Bleri Islnds. The geogrphilly limited distriution of the endemi speies my e euse of underlying negtive eophysiologil trits tht impede these speies eoming more widespred. In other insulr systems with high perentge of endemiity, ntive speies hve een shown to exhiit greter photoinhiition nd lower performne thn invsive speies when sujeted to high light levels (Durnd nd Goldstein 1, Ymshit et l. ). Although no previous ttempts exist in ompring photoinhiition nd photoprotetive strtegies etween endemi nd non-endemi speies in the Mediterrnen sin, Gulís et l. (3) showed tht endemi speies presented in generl % lower photosyntheti pity when ompred with widely distriuted speies. In the present work, set of ANOVA s ws mde to investigte possile differenes in photoprotetion mehnisms nd photoinhiition proesses etween endemi nd non-endemi speies. Differenes were exmined for eh prmeter nlyzed nd onsidering ll tretments nd smpling time (i.e. predwn nd middy). Nevertheless, differenes etween oth evolutionry groups were only signifint (P <.5) for lutein, - rotene nd totl xnthophyll ontent under MoWS t middy.therefore,tlestfor the speies inluded in the present survey, differenes in the photoprotetion mehnisms re not the min use tht limits distriution nd ompetitiveness of endemi speies in the Bleri Islnds. A series of luster nlysis of the speies onsidered in the present survey ws performed for eh tretment (dt not shown). Suh nlysis, whih inluded the min prmeters mesured t middy, reflets the existene of ontinuum of ehvior in response to wter stress tht is independent of growth form. Effetively, in ny of the tretments, no ler grouping of speies ording to their growth form ws oserved. One it hs een shown tht no importnt differenes mong growth forms ould e estlished, the next step ws to summrize the generl vrine in few omponents. In this wy, the prinipl omponent nlysis of the different vriles mesured t middy distinguished three min groups explining pproximtely 7% of totl vrine. The first omponent (pproximtely % of totl vrine) ws formed y ll pigments exept those representing de-epoxidted sttes, i.e. rotenes, hlorophylls, lutein epoxide, neoxnthin nd violxnthin ontent. The seond omponent (pproximtely % of totl vrine) ws formed y pigments nd indexes refleting the de-epoxidted stted of the xnthophylls yle (i.e. DPS, ntherxnthin nd zexnthin) nd tretment. Finlly, the third omponent (pproximtely 1% of totl vrine) ws formed y ETR, nd P r. The remining omponents, whih inluded speies, growth form nd evolutionry history, ounted for less thn 7% of totl vrine. Physiol. Plnt. 13, 7 57

14 To further onfirm the no existene of ler differenes mong growth forms, speies were plotted ginst the two min prinipl omponents (Fig. 9). Suh nlysis, in ddition, llowed visulizing how the different speies re differentilly distriuted vs these prinipl omponents, nd how suh distriution vried ording to the wter stress tretments. Conluding remrks The present study shows tht Mediterrnen plnts, regrdless of their growth form, re sustntilly resistnt to wter stress-indued photoinhiition. However, lthough ll these speies hieve photoprotetion y omintion of photohemil (photorespirtion) nd non-photohemil (therml dissiption) mehnisms, the mehnisms nd/or pigments involved in the ltter my differ mong speies, in mnner tht is independent of the plnt growth form. Similrly, the veloity of Component CO CA PI PL MT MC DI Component 1 HB LA LG LM PSII reovery from photoinhiition or sustined photoprotetion lso differs mong speies. These fetures my reflet dpttions to prtiulr environments nd re in greement with the different speies distriution. For instne, very effetive photoprotetion under wter stress my e of dptive vlues for Limonium, C. lidus or P. itli euse they ll inhit sun-exposed res, while eing shllow-rooted speies tht retin some green leves in summer. Therefore, they my hve the pity to respond to frequent short episodes of drought in ddition to the long summer drought period. An lterntive dpttion for speies inhiting similr res, suh s L. mritim, my e to possess high plstiity, whih inludes high pity for rpid reovery. By ontrst, the speies elonging to other growth form groups my hve to endure less frequent periods of omined drought nd high light intensity, the hers euse they do not retin leves during summer nd the lrge woody perennils euse they use to live under the shde of dult plnts when young, nd e deep-rooted when dult. Heterogeneity in the eologil performne of Mediterrnen speies my e onsequene of the funtionl omplexity of Mediterrnen eosystems nd likely reflets the ft tht ny speies in this environment hs to endure temporry drought periods, whih hs led to n rry of different dptive strtegies. Aknowledgements Dr M Ris-Cró is knowledged for his helpful omments on previous version of the mnusript nd grmmtil orretions. This work ws prtly funded y Projets REN1-356-CO2-O2 nd BFU5-312/BFI (Pln Nionl, Spin). Component PL CA PI MC MT DI HB Component 1 Fig. 9. Distriution of the 1 speies ording to the first two prinipl omponents of vrine under ontrol (C) nd tretments. Speies odes s in Tle 1. Further explntion in the text. LG LM LA Referenes Adí J, Adí A (1993) Iron nd plnt pigments. In: Brton LL, Hemmig BC (eds) Iron Cheltion in Plnts nd Soil Miroorgnisms. Ademi Press, Sn Diego, pp Affek HP, Ykir D (2) Protetion y isoprene ginst singlet oxygen in leves. Plnt Physiol 29: Anon (199). SPSS Bse System User s Guide. SPSS In., Chigo, IL. 949 p Aro EM, MCffery S, Anderson JM (1994) Reovery from photoinhiition in pes (Pisum stivum L.) limted to vrying growth irrdines role of D1 protein-turnover. Plnt Physiol 14: Blguer L, Pugnire FI, Mrtínez-Ferri E, Arms C, Vlldres F, Mnrique E (2) Eophysiologil signifine of hlorophyll loss nd redued photohemil effiieny under extreme ridity in Stip tenissim L. Plnt Soil 2: Physiol. Plnt. 13, 7

15 Björkmn O, Demmig-Adms B (1994) Regultion of photosyntheti light energy pture, onversion nd dissiption in leves of higher plnts. In: Shulze E-D, Cldwell MM (eds) Eophysiology of Photosynthesis. Springer-Verlg Eologil Studies 1, Berlin, pp Chves M, Pereir JS, Mroo J, Rodrigues ML, Rirdo CPP, Osório ML, Clávlo I, Fri T, Pinheiro C (2) How plnts ope with wter stress in the field. Photosynthesis nd growth. Ann Bot (Lond) 89: Dmesin C, Rml S (1995) Field-study of lef photosyntheti performne y Mediterrnen deiduous ok tree (Querus puesens) during severe summer drought. New Phytol 131: Demmig-Adms B, Adms WW (6) Photoprotetion in n eologil ontext: the remrkle omplexity of therml energy dissiption. New Phytol 171: Demmig B, Winter K, Krüger A, Czygn F-C (1987) Photoinhiition nd zexnthin formtion in intt leves. A possile role of the xnthophylls yle in the dissiption of exess light energy. Plnt Physiol 84: Demmig B, Winter K, Krüger A, Czygn F-C (1988) Zexnthin nd the het dissiption of exess light energy in Nerium olender exposed to omintion of high light nd wter stress. Plnt Physiol 87: Demmig-Adms B, Adms WW, Winter K, Meyer A, Shreier U, Pereir JS, Kruger A, Czygn F-C, Lnge OL (1989) Photohemil effiieny of Photosystem-II, photon yield of O 2 evolution, photosyntheti pity, nd rotenoid omposition during the middy depression of net CO 2 uptke in Arutus unedo growing in Portugl. Plnt 177: De Souz RP, Mhdo EC, Silv JAB, Lgô AMMA, Silveir JAG (4) Photosyntheti gs exhnge, hlorophyll fluoresene nd some ssoited metoli hnges in owpe (Vign unguiult) during wter stress nd reovery. Environ Exp Bot 51: Di Cstri F (1973) Climtogrphil omprisons etween Chile nd the western ost of North Ameri. In: Di Cstri F, Mooney HA (eds) Mediterrnen-type eosystems. Springer-Verlg, Berlin, pp Durnd LZ, Goldstein G (1) Photosynthesis, photoinhiition, nd nitrogen use effiieny in ntive nd invsive tree ferns in Hwii. Oeologi 126: Ehleringer J, Mooney HA (1982) Produtivity of desert nd Mediterrnen-limte plnts. In: Lnge OL, Noel PS, Osmond CB, Ziegler H (eds) Enylopedi of Plnt Physiology. Physiologil Plnt Eology, Vol. 12D. Springer-Verlg, Berlin, pp Fri T, Silvério D, Brei E, Crl R, Adí A, Adí J, Pereir JS Chves MM (1998) Differenes in the response of ron ssimiltion to summer stress (wter defiits, high light nd temperture) in four Mediterrnen tree speies. Physiol Plnt 12: Flexs J, Medrno H (2) Drought-Inhiition of photosynthesis in C 3 plnts: stomtl nd non-stomtl limittion revisited. Ann Bot (Lond) 89: Flexs J, Bot J, Cifre J, Eslon JM, Glmés J, Gulís J, Lefi E-K, Mrtínez-Cñells SF, Moreno MT, Ris-Cró MT, Rier D, Smpol B, Medrno H (4) Understnding down-regultion of photosynthesis under wter stress: future prospets nd serhing for physiologil tools for irrigtion mngement. Ann Appl Biol 144: Glmés J, Flexs J, Keys AJ, Cifre J, Mithell RAC, Mdgwik PJ, Hslm RP, Medrno H, Prry MAJ (5) Ruiso speifiity ftor tends to e lrger in plnt speies from drier hitts nd in speies with persistent leves. Plnt Cell Environ 28: Grí-Plzol JI, Hernández A, Errsti E, Beerril JM (2) Ourrene nd opertion of the lutein epoxide yle in Querus speies. Funt Plnt Biol 29: Grí-Plzol JI, Fri T, Adí J, Adí A, Chves MM, Pereir JS (1997) Sesonl hnges in xntophyll omposition nd photosynthesis of ork ok (Querus suer L.) leves under Mediterrnen limte. J Exp Bot 48: Genty B, Brintis JM, Bker NR (1989) The reltionship etween the quntum yield of photosyntheti eletron trnsport nd quenhing of hlorophyll fluoresene. Biohim Biophys At 99: Grssi G, Mgnni F (5) Stomtl, mesophyll ondutne nd iohemil limittions to photosynthesis s ffeted y drought nd lef ontogeny in sh nd ok trees. Plnt Cell Environ 28: Gulís J, Flexs J, Adí A, Medrno H (2) Photosyntheti responses to wter defiit in six Mediterrnen slerophyll speies: possile ftors explining the delining distriution of n endemi Bleri speies (Rhmnus ludovii-slvtoris). Tree Physiol 22: Gulís J, Flexs J, Mus M, Cifre J, Lefi E, Medrno H (3) Reltionship etween mximum lef photosynthesis, nitrogen ontent nd speifi lef re in leri endemi nd non-endemi Mediterrnen speies. Ann Bot (Lond) 92: Hormetxe K, Beerril JM, Flek I, Pintó M, Grí-Plzol JI (5) Funtionl role of red (retro)-rotenoids s pssive light filters in the leves of Buxus sempervirens L.: inresed protetion of photosyntheti tissues? J Exp Bot 56: Krll JP, Edwrds GE (1992) Reltionship etween photosystem II tivity nd CO 2 fixtion in leves. Physiol Plnt 86: Kyprissis A, Petropoulou Y, Mnets Y (1995) Summer survivl of leves in soft-leved shru (Phlomis frutios L., Lite) under Mediterrnen field onditions: voidne of photoinhiitory dmge through deresed hlorophyll ontents. J Exp Bot 46: Physiol. Plnt. 13, 7 59

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL P3.1 Kot Iwmur*, Hiroto Kitgw Jpn Meteorologil Ageny 1. INTRODUCTION Jpn Meteorologil Ageny

More information

Review Topic 14: Relationships between two numerical variables

Review Topic 14: Relationships between two numerical variables Review Topi 14: Reltionships etween two numeril vriles Multiple hoie 1. Whih of the following stterplots est demonstrtes line of est fit? A B C D E 2. The regression line eqution for the following grph

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

Project 6: Minigoals Towards Simplifying and Rewriting Expressions

Project 6: Minigoals Towards Simplifying and Rewriting Expressions MAT 51 Wldis Projet 6: Minigols Towrds Simplifying nd Rewriting Expressions The distriutive property nd like terms You hve proly lerned in previous lsses out dding like terms ut one prolem with the wy

More information

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

Lecture Notes No. 10

Lecture Notes No. 10 2.6 System Identifition, Estimtion, nd Lerning Leture otes o. Mrh 3, 26 6 Model Struture of Liner ime Invrint Systems 6. Model Struture In representing dynmil system, the first step is to find n pproprite

More information

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35. 0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression

More information

Table of Content. c 1 / 5

Table of Content. c 1 / 5 Tehnil Informtion - t nd t Temperture for Controlger 03-2018 en Tble of Content Introdution....................................................................... 2 Definitions for t nd t..............................................................

More information

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points.

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points. Prole 3: Crnot Cyle of n Idel Gs In this prole, the strting pressure P nd volue of n idel gs in stte, re given he rtio R = / > of the volues of the sttes nd is given Finlly onstnt γ = 5/3 is given You

More information

Lecture 6: Coding theory

Lecture 6: Coding theory Leture 6: Coing theory Biology 429 Crl Bergstrom Ferury 4, 2008 Soures: This leture loosely follows Cover n Thoms Chpter 5 n Yeung Chpter 3. As usul, some of the text n equtions re tken iretly from those

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities Appendi Prtil dishrges. Reltionship Between Mesured nd Atul Dishrge Quntities A dishrging smple my e simply represented y the euilent iruit in Figure. The pplied lternting oltge V is inresed until the

More information

8 THREE PHASE A.C. CIRCUITS

8 THREE PHASE A.C. CIRCUITS 8 THREE PHSE.. IRUITS The signls in hpter 7 were sinusoidl lternting voltges nd urrents of the so-lled single se type. n emf of suh type n e esily generted y rotting single loop of ondutor (or single winding),

More information

(h+ ) = 0, (3.1) s = s 0, (3.2)

(h+ ) = 0, (3.1) s = s 0, (3.2) Chpter 3 Nozzle Flow Qusistedy idel gs flow in pipes For the lrge vlues of the Reynolds number typilly found in nozzles, the flow is idel. For stedy opertion with negligible body fores the energy nd momentum

More information

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R /10/010 Question 1 1 mole of idel gs is rought to finl stte F y one of three proesses tht hve different initil sttes s shown in the figure. Wht is true for the temperture hnge etween initil nd finl sttes?

More information

A Study on the Properties of Rational Triangles

A Study on the Properties of Rational Triangles Interntionl Journl of Mthemtis Reserh. ISSN 0976-5840 Volume 6, Numer (04), pp. 8-9 Interntionl Reserh Pulition House http://www.irphouse.om Study on the Properties of Rtionl Tringles M. Q. lm, M.R. Hssn

More information

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths Intermedite Mth Cirles Wednesdy 17 Otoer 01 Geometry II: Side Lengths Lst week we disussed vrious ngle properties. As we progressed through the evening, we proved mny results. This week, we will look t

More information

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES PAIR OF LINEAR EQUATIONS IN TWO VARIABLES. Two liner equtions in the sme two vriles re lled pir of liner equtions in two vriles. The most generl form of pir of liner equtions is x + y + 0 x + y + 0 where,,,,,,

More information

Electromagnetism Notes, NYU Spring 2018

Electromagnetism Notes, NYU Spring 2018 Eletromgnetism Notes, NYU Spring 208 April 2, 208 Ation formultion of EM. Free field desription Let us first onsider the free EM field, i.e. in the bsene of ny hrges or urrents. To tret this s mehnil system

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

On the Scale factor of the Universe and Redshift.

On the Scale factor of the Universe and Redshift. On the Sle ftor of the Universe nd Redshift. J. M. unter. john@grvity.uk.om ABSTRACT It is proposed tht there hs been longstnding misunderstnding of the reltionship between sle ftor of the universe nd

More information

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix tries Definition of tri mtri is regulr rry of numers enlosed inside rkets SCHOOL OF ENGINEERING & UIL ENVIRONEN Emple he following re ll mtries: ), ) 9, themtis ), d) tries Definition of tri Size of tri

More information

1.3 SCALARS AND VECTORS

1.3 SCALARS AND VECTORS Bridge Course Phy I PUC 24 1.3 SCLRS ND VECTORS Introdution: Physis is the study of nturl phenomen. The study of ny nturl phenomenon involves mesurements. For exmple, the distne etween the plnet erth nd

More information

Symmetrical Components 1

Symmetrical Components 1 Symmetril Components. Introdution These notes should e red together with Setion. of your text. When performing stedy-stte nlysis of high voltge trnsmission systems, we mke use of the per-phse equivlent

More information

Spacetime and the Quantum World Questions Fall 2010

Spacetime and the Quantum World Questions Fall 2010 Spetime nd the Quntum World Questions Fll 2010 1. Cliker Questions from Clss: (1) In toss of two die, wht is the proility tht the sum of the outomes is 6? () P (x 1 + x 2 = 6) = 1 36 - out 3% () P (x 1

More information

Chapter 3. Vector Spaces. 3.1 Images and Image Arithmetic

Chapter 3. Vector Spaces. 3.1 Images and Image Arithmetic Chpter 3 Vetor Spes In Chpter 2, we sw tht the set of imges possessed numer of onvenient properties. It turns out tht ny set tht possesses similr onvenient properties n e nlyzed in similr wy. In liner

More information

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications AP CALCULUS Test #6: Unit #6 Bsi Integrtion nd Applitions A GRAPHING CALCULATOR IS REQUIRED FOR SOME PROBLEMS OR PARTS OF PROBLEMS IN THIS PART OF THE EXAMINATION. () The ext numeril vlue of the orret

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and Leture 7: iffusion of Ions: Prt : oupled diffusion of tions nd nions s desried y Nernst-Plnk Eqution Tody s topis Continue to understnd the fundmentl kinetis prmeters of diffusion of ions within n eletrilly

More information

The effects of different timings and severity of drought stress on gas exchange parameters of mungbean

The effects of different timings and severity of drought stress on gas exchange parameters of mungbean DESERT DESERT Online t http://jdesert.ut..ir DESERT 3 (8) 59-66 The effets of different timings nd severity of drought stress on gs exhnge prmeters of mungen A. Mordi *, A. Ahmdi, A. Hossin Zdeh Deprtment

More information

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE V.S. Gordeev, G.A. Myskov Russin Federl Nuler Center All-Russi Sientifi Reserh Institute of Experimentl Physis (RFNC-VNIIEF)

More information

Patterns in tropical seagrass photosynthesis in relation to light, depth and habitat

Patterns in tropical seagrass photosynthesis in relation to light, depth and habitat Esturine, Costl nd Shelf Siene 73 (27) 551e562 www.elsevier.om/lote/ess Ptterns in tropil segrss photosynthesis in reltion to light, depth nd hitt Sturt J. Cmpell,, *, Len J. MKenzie,, Simon P. Kerville,,

More information

Global alignment. Genome Rearrangements Finding preserved genes. Lecture 18

Global alignment. Genome Rearrangements Finding preserved genes. Lecture 18 Computt onl Biology Leture 18 Genome Rerrngements Finding preserved genes We hve seen before how to rerrnge genome to obtin nother one bsed on: Reversls Knowledge of preserved bloks (or genes) Now we re

More information

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models Communitions in Applied Sienes ISS 0-77 Volume, umer, 0, 5-7 Estimtion of Glol Solr dition in Onitsh nd Clr Using Empiril Models M.. nuhi, J. E. Ekpe nd G. F Ieh Deprtment of Industril Physis, Eonyi Stte

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Nme Dte hpter 9 Mintining Mthemtil Profiieny Simplify the epression. 1. 500. 189 3. 5 4. 4 3 5. 11 5 6. 8 Solve the proportion. 9 3 14 7. = 8. = 9. 1 7 5 4 = 4 10. 0 6 = 11. 7 4 10 = 1. 5 9 15 3 = 5 +

More information

QUADRATIC EQUATION. Contents

QUADRATIC EQUATION. Contents QUADRATIC EQUATION Contents Topi Pge No. Theory 0-04 Exerise - 05-09 Exerise - 09-3 Exerise - 3 4-5 Exerise - 4 6 Answer Key 7-8 Syllus Qudrti equtions with rel oeffiients, reltions etween roots nd oeffiients,

More information

6.5 Improper integrals

6.5 Improper integrals Eerpt from "Clulus" 3 AoPS In. www.rtofprolemsolving.om 6.5. IMPROPER INTEGRALS 6.5 Improper integrls As we ve seen, we use the definite integrl R f to ompute the re of the region under the grph of y =

More information

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Effets of Applying Aumultor Strw in Soil on Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris under Cdmium Stress Jin Wng1,,

More information

A Lower Bound for the Length of a Partial Transversal in a Latin Square, Revised Version

A Lower Bound for the Length of a Partial Transversal in a Latin Square, Revised Version A Lower Bound for the Length of Prtil Trnsversl in Ltin Squre, Revised Version Pooy Htmi nd Peter W. Shor Deprtment of Mthemtil Sienes, Shrif University of Tehnology, P.O.Bo 11365-9415, Tehrn, Irn Deprtment

More information

Introduction to Olympiad Inequalities

Introduction to Olympiad Inequalities Introdution to Olympid Inequlities Edutionl Studies Progrm HSSP Msshusetts Institute of Tehnology Snj Simonovikj Spring 207 Contents Wrm up nd Am-Gm inequlity 2. Elementry inequlities......................

More information

Probability. b a b. a b 32.

Probability. b a b. a b 32. Proility If n event n hppen in '' wys nd fil in '' wys, nd eh of these wys is eqully likely, then proility or the hne, or its hppening is, nd tht of its filing is eg, If in lottery there re prizes nd lnks,

More information

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY DETERMINING SIGNIFINT FTORS ND THEIR EFFETS ON SOFTWRE ENGINEERING PROESS QULITY R. Rdhrmnn Jeng-Nn Jung Mil to: rdhrmn_r@merer.edu jung_jn@merer.edu Shool of Engineering, Merer Universit, Mon, G 37 US

More information

Behavior Composition in the Presence of Failure

Behavior Composition in the Presence of Failure Behvior Composition in the Presene of Filure Sestin Srdin RMIT University, Melourne, Austrli Fio Ptrizi & Giuseppe De Giomo Spienz Univ. Rom, Itly KR 08, Sept. 2008, Sydney Austrli Introdution There re

More information

THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL

THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL Mhun Peng *, Lin Xie nd Leonrd J. Pietrfes Deprtment of Mrine, Erth nd Atmospheri

More information

Modeling of Catastrophic Failures in Power Systems

Modeling of Catastrophic Failures in Power Systems Modeling of tstrophi Filures in Power Systems hnn Singh nd lex Sprintson Deprtment of Eletril nd omputer Engineering Texs &M hnn Singh nd lex Sprintson Modeling of tstrophi Filures Motivtion Reent events

More information

Linear Algebra Introduction

Linear Algebra Introduction Introdution Wht is Liner Alger out? Liner Alger is rnh of mthemtis whih emerged yers k nd ws one of the pioneer rnhes of mthemtis Though, initilly it strted with solving of the simple liner eqution x +

More information

Technische Universität München Winter term 2009/10 I7 Prof. J. Esparza / J. Křetínský / M. Luttenberger 11. Februar Solution

Technische Universität München Winter term 2009/10 I7 Prof. J. Esparza / J. Křetínský / M. Luttenberger 11. Februar Solution Tehnishe Universität Münhen Winter term 29/ I7 Prof. J. Esprz / J. Křetínský / M. Luttenerger. Ferur 2 Solution Automt nd Forml Lnguges Homework 2 Due 5..29. Exerise 2. Let A e the following finite utomton:

More information

TOPIC: LINEAR ALGEBRA MATRICES

TOPIC: LINEAR ALGEBRA MATRICES Interntionl Blurete LECTUE NOTES for FUTHE MATHEMATICS Dr TOPIC: LINEA ALGEBA MATICES. DEFINITION OF A MATIX MATIX OPEATIONS.. THE DETEMINANT deta THE INVESE A -... SYSTEMS OF LINEA EQUATIONS. 8. THE AUGMENTED

More information

System Validation (IN4387) November 2, 2012, 14:00-17:00

System Validation (IN4387) November 2, 2012, 14:00-17:00 System Vlidtion (IN4387) Novemer 2, 2012, 14:00-17:00 Importnt Notes. The exmintion omprises 5 question in 4 pges. Give omplete explntion nd do not onfine yourself to giving the finl nswer. Good luk! Exerise

More information

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light.

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light. 1 This igrm represents the energy hnge tht ours when eletron in trnsition metl ion is exite y visile light. Give the eqution tht reltes the energy hnge ΔE to the Plnk onstnt, h, n the frequeny, v, of the

More information

Engr354: Digital Logic Circuits

Engr354: Digital Logic Circuits Engr354: Digitl Logi Ciruits Chpter 4: Logi Optimiztion Curtis Nelson Logi Optimiztion In hpter 4 you will lern out: Synthesis of logi funtions; Anlysis of logi iruits; Tehniques for deriving minimum-ost

More information

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply

More information

Algorithms & Data Structures Homework 8 HS 18 Exercise Class (Room & TA): Submitted by: Peer Feedback by: Points:

Algorithms & Data Structures Homework 8 HS 18 Exercise Class (Room & TA): Submitted by: Peer Feedback by: Points: Eidgenössishe Tehnishe Hohshule Zürih Eole polytehnique fédérle de Zurih Politenio federle di Zurigo Federl Institute of Tehnology t Zurih Deprtement of Computer Siene. Novemer 0 Mrkus Püshel, Dvid Steurer

More information

where the box contains a finite number of gates from the given collection. Examples of gates that are commonly used are the following: a b

where the box contains a finite number of gates from the given collection. Examples of gates that are commonly used are the following: a b CS 294-2 9/11/04 Quntum Ciruit Model, Solovy-Kitev Theorem, BQP Fll 2004 Leture 4 1 Quntum Ciruit Model 1.1 Clssil Ciruits - Universl Gte Sets A lssil iruit implements multi-output oolen funtion f : {0,1}

More information

Outline. Theory-based Bayesian framework for property induction Causal structure induction

Outline. Theory-based Bayesian framework for property induction Causal structure induction Outline Theory-sed Byesin frmework for property indution Cusl struture indution Constrint-sed (ottom-up) lerning Theory-sed Byesin lerning The origins of usl knowledge Question: how do people relily ome

More information

CS 573 Automata Theory and Formal Languages

CS 573 Automata Theory and Formal Languages Non-determinism Automt Theory nd Forml Lnguges Professor Leslie Lnder Leture # 3 Septemer 6, 2 To hieve our gol, we need the onept of Non-deterministi Finite Automton with -moves (NFA) An NFA is tuple

More information

Comparing the Pre-image and Image of a Dilation

Comparing the Pre-image and Image of a Dilation hpter Summry Key Terms Postultes nd Theorems similr tringles (.1) inluded ngle (.2) inluded side (.2) geometri men (.) indiret mesurement (.6) ngle-ngle Similrity Theorem (.2) Side-Side-Side Similrity

More information

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then.

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then. pril 8, 2017 Mth 9 Geometry Solving vetor prolems Prolem Prove tht if vetors nd stisfy, then Solution 1 onsider the vetor ddition prllelogrm shown in the Figure Sine its digonls hve equl length,, the prllelogrm

More information

CHENG Chun Chor Litwin The Hong Kong Institute of Education

CHENG Chun Chor Litwin The Hong Kong Institute of Education PE-hing Mi terntionl onferene IV: novtion of Mthemtis Tehing nd Lerning through Lesson Study- onnetion etween ssessment nd Sujet Mtter HENG hun hor Litwin The Hong Kong stitute of Edution Report on using

More information

Eigenvectors and Eigenvalues

Eigenvectors and Eigenvalues MTB 050 1 ORIGIN 1 Eigenvets n Eigenvlues This wksheet esries the lger use to lulte "prinipl" "hrteristi" iretions lle Eigenvets n the "prinipl" "hrteristi" vlues lle Eigenvlues ssoite with these iretions.

More information

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY ER 316: REIO EGIEERIG HER 3 RE LWS & SOIHIOMERY 1 OULIE R 1: Rte Lws Reltive Rtes of Retion Retion Orer & Rte Lw Retion Rte onstnt, k R 2: Stoihiometry th System Stoihiometri le low System Stoihiometri

More information

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS The University of ottinghm SCHOOL OF COMPUTR SCIC A LVL 2 MODUL, SPRIG SMSTR 2015 2016 MACHIS AD THIR LAGUAGS ASWRS Time llowed TWO hours Cndidtes my omplete the front over of their nswer ook nd sign their

More information

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1)

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1) Green s Theorem Mth 3B isussion Session Week 8 Notes Februry 8 nd Mrh, 7 Very shortly fter you lerned how to integrte single-vrible funtions, you lerned the Fundmentl Theorem of lulus the wy most integrtion

More information

University of Sioux Falls. MAT204/205 Calculus I/II

University of Sioux Falls. MAT204/205 Calculus I/II University of Sioux Flls MAT204/205 Clulus I/II Conepts ddressed: Clulus Textook: Thoms Clulus, 11 th ed., Weir, Hss, Giordno 1. Use stndrd differentition nd integrtion tehniques. Differentition tehniques

More information

Appendix A: HVAC Equipment Efficiency Tables

Appendix A: HVAC Equipment Efficiency Tables Appenix A: HVAC Equipment Effiieny Tles Figure A.1 Resientil Centrl Air Conitioner FEMP Effiieny Reommention Prout Type Reommene Level Best Aville 11.0 or more EER 14.6 EER Split Systems 13.0 or more SEER

More information

Now we must transform the original model so we can use the new parameters. = S max. Recruits

Now we must transform the original model so we can use the new parameters. = S max. Recruits MODEL FOR VARIABLE RECRUITMENT (ontinue) Alterntive Prmeteriztions of the pwner-reruit Moels We n write ny moel in numerous ifferent ut equivlent forms. Uner ertin irumstnes it is onvenient to work with

More information

Chemical Equilibrium

Chemical Equilibrium Chpter 16 Questions 5, 7, 31, 33, 35, 43, 71 Chemil Equilibrium Exmples of Equilibrium Wter n exist simultneously in the gs nd liquid phse. The vpor pressure of H O t given temperture is property ssoited

More information

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Applying Hyperumultor Strw in Cd-Contminted Soil Enhnes Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris Jin Wng1,, Keng

More information

Effect of water supply on leaf area development, stomatal activity, transpiration, and dry matter production and distribution in young olive trees

Effect of water supply on leaf area development, stomatal activity, transpiration, and dry matter production and distribution in young olive trees CSIRO PUBLISHING AUTHORS PAGE PROOFS: NOT FOR CIRCULATION www.pulish.siro.u/journls/jr Austrlin Journl of Agriulturl Reserh, 2, 8, Effet of wter supply on lef re development, stomtl tivity, trnspirtion,

More information

GM1 Consolidation Worksheet

GM1 Consolidation Worksheet Cmridge Essentils Mthemtis Core 8 GM1 Consolidtion Worksheet GM1 Consolidtion Worksheet 1 Clulte the size of eh ngle mrked y letter. Give resons for your nswers. or exmple, ngles on stright line dd up

More information

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of:

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of: 22: Union Fin CS 473u - Algorithms - Spring 2005 April 14, 2005 1 Union-Fin We wnt to mintin olletion of sets, uner the opertions of: 1. MkeSet(x) - rete set tht ontins the single element x. 2. Fin(x)

More information

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi 4 Ti 3 O 12 THIN FILMS BY OPTICAL SECOND HARMONIC GENERATION YANIV BARAD, VENKATRAMAN GOPALAN Mterils Reserh Lortory

More information

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM Chem 44 - Homework due ondy, pr. 8, 4, P.. . Put this in eq 8.4 terms: E m = m h /m e L for L=d The degenery in the ring system nd the inresed sping per level (4x bigger) mkes the sping between the HOO

More information

Exercise 3 Logic Control

Exercise 3 Logic Control Exerise 3 Logi Control OBJECTIVE The ojetive of this exerise is giving n introdution to pplition of Logi Control System (LCS). Tody, LCS is implemented through Progrmmle Logi Controller (PLC) whih is lled

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Voting Prdoxes Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Voting Prdoxes Properties Arrow s Theorem Leture Overview 1 Rep

More information

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem.

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem. 27 Lesson 2: The Pythgoren Theorem nd Similr Tringles A Brief Review of the Pythgoren Theorem. Rell tht n ngle whih mesures 90º is lled right ngle. If one of the ngles of tringle is right ngle, then we

More information

Section 1.3 Triangles

Section 1.3 Triangles Se 1.3 Tringles 21 Setion 1.3 Tringles LELING TRINGLE The line segments tht form tringle re lled the sides of the tringle. Eh pir of sides forms n ngle, lled n interior ngle, nd eh tringle hs three interior

More information

NON-DETERMINISTIC FSA

NON-DETERMINISTIC FSA Tw o types of non-determinism: NON-DETERMINISTIC FS () Multiple strt-sttes; strt-sttes S Q. The lnguge L(M) ={x:x tkes M from some strt-stte to some finl-stte nd ll of x is proessed}. The string x = is

More information

Effects of Exogenous Melatonin on Photosynthetic Characteristics of. Lettuce Seedlings under NaCl Stress

Effects of Exogenous Melatonin on Photosynthetic Characteristics of. Lettuce Seedlings under NaCl Stress Interntionl Conferene on Energy nd Environmentl Protetion (ICEEP 16) Effets of Exogenous Meltonin on Photosyntheti Chrteristis of Lettue Seedlings under NCl Stress Zesheng Yn1,,Mi Li1, ndyi Tng,* 1 College

More information

2. There are an infinite number of possible triangles, all similar, with three given angles whose sum is 180.

2. There are an infinite number of possible triangles, all similar, with three given angles whose sum is 180. SECTION 8-1 11 CHAPTER 8 Setion 8 1. There re n infinite numer of possile tringles, ll similr, with three given ngles whose sum is 180. 4. If two ngles α nd β of tringle re known, the third ngle n e found

More information

(a) A partition P of [a, b] is a finite subset of [a, b] containing a and b. If Q is another partition and P Q, then Q is a refinement of P.

(a) A partition P of [a, b] is a finite subset of [a, b] containing a and b. If Q is another partition and P Q, then Q is a refinement of P. Chpter 7: The Riemnn Integrl When the derivtive is introdued, it is not hrd to see tht the it of the differene quotient should be equl to the slope of the tngent line, or when the horizontl xis is time

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Fun Gme Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Fun Gme Properties Arrow s Theorem Leture Overview 1 Rep 2 Fun Gme 3 Properties

More information

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam April 08 Therml energy Soures of het Trnsport of het How to use het The First Lw of Thermoynmis U W Or, if we wnt to otin externl work: U W 009 vrije Universiteit msterm Close yle stem power plnt The trik

More information

Discrete Structures Lecture 11

Discrete Structures Lecture 11 Introdution Good morning. In this setion we study funtions. A funtion is mpping from one set to nother set or, perhps, from one set to itself. We study the properties of funtions. A mpping my not e funtion.

More information

Trigonometry Revision Sheet Q5 of Paper 2

Trigonometry Revision Sheet Q5 of Paper 2 Trigonometry Revision Sheet Q of Pper The Bsis - The Trigonometry setion is ll out tringles. We will normlly e given some of the sides or ngles of tringle nd we use formule nd rules to find the others.

More information

Chapter Gauss Quadrature Rule of Integration

Chapter Gauss Quadrature Rule of Integration Chpter 7. Guss Qudrture Rule o Integrtion Ater reding this hpter, you should e le to:. derive the Guss qudrture method or integrtion nd e le to use it to solve prolems, nd. use Guss qudrture method to

More information

Chapter 8 Roots and Radicals

Chapter 8 Roots and Radicals Chpter 8 Roots nd Rdils 7 ROOTS AND RADICALS 8 Figure 8. Grphene is n inredily strong nd flexile mteril mde from ron. It n lso ondut eletriity. Notie the hexgonl grid pttern. (redit: AlexnderAIUS / Wikimedi

More information

Polynomials. Polynomials. Curriculum Ready ACMNA:

Polynomials. Polynomials. Curriculum Ready ACMNA: Polynomils Polynomils Curriulum Redy ACMNA: 66 www.mthletis.om Polynomils POLYNOMIALS A polynomil is mthemtil expression with one vrile whose powers re neither negtive nor frtions. The power in eh expression

More information

Multiple stressor effects of ionising (gamma) radiation and non-ionising (UV) radiation in duckweed (Lemna minor)

Multiple stressor effects of ionising (gamma) radiation and non-ionising (UV) radiation in duckweed (Lemna minor) Multiple stressor effets of ionising (gmm) rdition nd non-ionising (UV) rdition in dukweed (Lemn minor) Li Xie 1,2,3, You Song 1,3, Knut Asjørn Solhug 2,3, Ole Christin Lind 2,3, Brit Slu 2,3, Bjørn Johnsen

More information

Hyers-Ulam stability of Pielou logistic difference equation

Hyers-Ulam stability of Pielou logistic difference equation vilble online t wwwisr-publitionsom/jns J Nonliner Si ppl, 0 (207, 35 322 Reserh rtile Journl Homepge: wwwtjnsom - wwwisr-publitionsom/jns Hyers-Ulm stbility of Pielou logisti differene eqution Soon-Mo

More information

A Non-parametric Approach in Testing Higher Order Interactions

A Non-parametric Approach in Testing Higher Order Interactions A Non-prmetri Approh in Testing igher Order Intertions G. Bkeerthn Deprtment of Mthemtis, Fulty of Siene Estern University, Chenkldy, Sri Lnk nd S. Smit Deprtment of Crop Siene, Fulty of Agriulture University

More information

Learning Partially Observable Markov Models from First Passage Times

Learning Partially Observable Markov Models from First Passage Times Lerning Prtilly Oservle Mrkov s from First Pssge s Jérôme Cllut nd Pierre Dupont Europen Conferene on Mhine Lerning (ECML) 8 Septemer 7 Outline. FPT in models nd sequenes. Prtilly Oservle Mrkov s (POMMs).

More information

Chlorophyll fluorescence measures of seagrasses Halophila ovalis and Zostera capricorni reveal differences in response to experimental shading

Chlorophyll fluorescence measures of seagrasses Halophila ovalis and Zostera capricorni reveal differences in response to experimental shading Mr Biol (7) 152:45 414 DOI 1.17/s227-7-7-6 RESEARCH ARTICLE Chlorophyll fluoresene mesures of segrsses Hlophil ovlis nd Zoster priorni revel differenes in response to experimentl shding Junit S. Bité Æ

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

THE PYTHAGOREAN THEOREM

THE PYTHAGOREAN THEOREM THE PYTHAGOREAN THEOREM The Pythgoren Theorem is one of the most well-known nd widely used theorems in mthemtis. We will first look t n informl investigtion of the Pythgoren Theorem, nd then pply this

More information

5. Every rational number have either terminating or repeating (recurring) decimal representation.

5. Every rational number have either terminating or repeating (recurring) decimal representation. CHAPTER NUMBER SYSTEMS Points to Rememer :. Numer used for ounting,,,,... re known s Nturl numers.. All nturl numers together with zero i.e. 0,,,,,... re known s whole numers.. All nturl numers, zero nd

More information

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR .5 NMR spetrosopy Different types of NMR There re two min types of NMR. NMR. (proton) NMR There is only round % in orgni moleules ut modern NMR mhines re sensitive enough to give full spetr for The spetr

More information