1 ESM 1 Sampling site information for material used in this study. Stratigraphic information for tephras: Oruanui fall units from Wilson (2001), Taupo units based on (Wilson 1993). In parentheses abbreviations used for graphs listed in same order as units. *additional samples not included in all analyses. Distance NZTMd NZTM Localitya Sample IDb (km)c Easting Northing Oruanui tephra 2751 unit 3 (a11) 11 1830291 5523694 235 unit 3 (a26) 26 1865602 5726716 2787 unit 3 (a39) 39 1881527 5759321 1624 units 3, 6, 7 base, 7 top, 8 81 1923932 5743294 (a81, d81, e81, f81, g81 & ef81 mean 7 base “ “ “ “ & top of unit7) 2272 units 3, 5 base, 5 top, 6, 8 base, 8 top 102 1920321 5627278 (a102, b102, c102, g102, h102) bc102 & “ “ “ “ gh102 means of base & top of units 5 & 7. 2026 unit 8 (g111) 111 1957639 5667841 2029 units 3, 8 (a124 & g124) 124 1970657 5664044 2024 unit 8 (g137) 137 1985074 5668159 2041 Sample No. 2552 (C52) 850 C.I. 339.0 C.I. 676.0 2048 Sample No. 2570 (C70) 850 C.I. 364.3 C.I. 676.0 2051 Sample No. 2590 (C90) 850 C.I. 357.2 C.I. 649.5 Paleolake huka sediment clasts in proximal Oruanui ignimbrite (eruptive units 5,9 & 10) 730 Sample No. R843 (H3) 22 1864139 5685888 1574 Sample No. R845 (H5) 21 1861438 5685785 1575 Sample No. R844 (H4) 15 1856231 5689683 Sedimentary layers enclosing the Oruanui tephra 2048 Peat above volcanic ash (Cpt) 850 C.I. 364.3 C.I. 676.0 2272 *Paleosol below volcanic ash (Psol) 102 1920321 5627278 In situ Huka Falls formation HFFcpk *Paleolake sediment, near Huka Falls, NZ (0) 1868705 5717426 Primary Taupo volcanic ash deposite Hatepe (Y3) original sample (Tp0) level 2398 22 1868024 5706405 unknown 2398 *Hatepe HA1 (Tp1) 0-7 cm above unit Y4 22 1868024 5706405 2398 *Hatepe HA2 (Tp2) 13-15 cm above unit Y4 22 1868024 5706405 2398 *Hatepe HA3 (Tp3) 42-46 cm above unit Y4 22 1868024 5706405 2398 *Hatepe HA4 (Tp4) 54-59 cm above unit Y4 22 1868024 5706405 2398 *Hatepe HA5 (Tp5) 74-76 cm above unit Y4 22 1868024 5706405 2398 *Rotongaio (Y4) 0-7 cm above Hatepe 22 1868024 5706405 Pre-Oruanui & Oruanui Taupo sourced tephra PEP-97-1 Okaia, PEP core, 19 m depth (OkB) 125 1916900 5589325 PEP-97-1 Oruanui, PEP core, 18 m depth (B125) 125 1916900 5589325 Post-glacial lake sediments from Taupo Volcanic Zone L1133 L. Taupo, pre-European, (L.T1) (0) 1856900 5704700 L1133 L. Taupo, mixed Holocene, (L.T14) (0) 1856900 5704700 E1 *L. Okataina, post CE 1886, (L.O.) (0) 1898875 5776180 RC 15 *L. Rotoiti, post CE 1314, (L.R.). (0) 1902600 5784240 Pre-Oruanui c. 100 ky B.P lake sediments from Taupo Volcanic Zone P35619 Diatomite, Pryces farm, (DPy) (0) 1877755 5748915 P64976 *Diatomite, nr Parsons Rd, (DMa) (0) 1873076 5753642 a Locality numbers for Oruanui tephra are equivalent to those used in Wilson (2001). b Individual eruptive units were analyzed separately where possible. For example, Oruanui, units 5, 7 and 8 the basal upper portions were sub-sampled. Oruanui tephra from Chatham Island was sampled in bulk, but inferred to principally include units 9 and 10 (Wilson 2001). c Distance given in approximate kilometers from diatom source. For tephra samples, this is the virtual source of eruption, in the centre of Taupo volcano (as defined by Wilson 2001). d NZTM denotes New Zealand Transverse Mercator 2000 projection. Grid references with a C.I. prefix use the Chatham Islands Transverse Mercator 1979 projection. e Samples were taken from several levels of the section of Taupo-Hatepe (Y3) tephra between the underlying Hatepe plinian (Y2) unit and the overlying Taupo-Rotongaio (Y4) tephra (Wilson 1993). 2 ESM 2 Methods The weights of processed samples ranged from 0.5-1 gm for the cores of Holocene lake sediments (Rotoiti, Okataina and Taupo) to 1-2 gm for most Oruanui tephra samples, through ~10 gm for tephras from Lake Poukawa to ~50 gm for the 1.8 ka Taupo tephra. Tephra samples were sieved through 63 μm mesh to remove coarse material before further processing. All the samples treated with hydrogen peroxide to disaggregate them and to remove organic matter. After the initial reaction had calmed down they were heated to 80 °C for a few hours, to complete the reaction. Hydrochloric acid was added to lake sediment samples to remove any calcareous matter. Samples were thoroughly washed with distilled water. Some of Taupo tephra (Hatepe, Tp1 to Tp5) samples proved to have sparse diatoms and be very rich in fine silt and clay. To further concentrate diatoms they were sieved through 6μm mesh cloth, retaining the coarser fraction. It was then possible to measure 100 specimens of Aulacoseira for morphometrics. Analysis of species content was based on the mount made earlier of Taupo tephra material (Tp0, Y3 see Table ESM 1) from the same section. Siliceous biogenic remains in tephra and paleolake Huka sediment samples were further concentrated by density separation using sodium polytungstate (at a density of 2.20 g cm-3). All processed samples were mounted onto glass coverslips with Naphrax mountant (refractive index 1.65). Species composition was determined by counting diatoms under a Leitz Diaplan differential interference contrast microscope at x400 or x1000 magnifications. At least 250 (usually 300) whole and significant fragments of diatom valves were identified to species level in each sample – these included identifiable fragments such as ends or centres of valves. For Aulacoseira ambigua, whole valves were substantially intact, with at most, minor chips out of their collums (Fig. ESM 1). In contrast, the significant fragments had fragmentary mantles, but with either sulcus or disc present. For Cyclostephanos novaezealandiae, whole valves could have lost connecting bands and part of their mantle edge, but retained a complete set of forked ribs, whereas significant fragments included most of the centre of the valve. For Discostella stelligera, whole valves appeared intact, whereas significant fragments included the whole centre of a valve. Populations of Aulacoseira valves were analysed by measuring valve heights (total height including collum) and diameters of 100 whole Aulacoseira valves in each sample (only 70 in the peat sample). Measurements were taken from valves lying in girdle view (See ESM 3). 3 ESM 3. Aulacoseira, Cyclostephanos and Discostella valves ESM 3 Diagram and micrographs showing features of Aulacoseira, Cyclostephanos novaezealandiae, and Discostella stelligera, including features used to distinguish ‘whole’, ‘significant’, and uncounted ‘insignificant’ fragments. (a) Diagram of Aulacoseira filament in girdle view illustrating features mentioned in text, (grey parts not in focus, i.e., not in transapical plane). (bk) Light microscope photographs: (b) example of a whole A. ambigua separation valve, showing sulcus and vertical grooves; (c) significant fragment of A . ambigua, valve; (d) fragment considered significant for composition but not morphometry; (e) insignificant fragment, which is part of an Aulacoseira collum. (f-h) Examples of C. novaezeelandiae: (f) two whole valves – the upper example is intact, the lower one still retains all of its original ‘forks’; (g) significant fragment, which includes a recognizable portion of the centre; (h) insignificant fragment, due to absence of centre. (ik) Examples of D. stelligera: (i) whole intact valve; (j) significant fragment, with centre present; (k) insignificant fragment, preserving too little of the centre. 4 Aam Ach Acr Acs Ads AgA AgN AmL AmV AnS Ava CaB Cas CmN Cnz CoN CoP CpS CvP CyM CyS Dco DpS Dst Ead Emi Eng Eso EuB EuF EuL EuM FcV FfV FrR FrV GoA GoP Gyr HaA Hip Kcl Lmu MuG Mvar Nci 1 1 1 (1) 1 3 3 2 2 1 3 (2) 2 4 1 3 3 3 2 4 2 3 4 3 3 2 3 3 (3) 4 3 1 4 5 2 4 Taxon Aulacoseira ambigua (Grunow) Simonsen Achnanthes sensu lato Aulacoseira italica (Ehrenberg) Simonsen [syn. A.crenulata] Aulacoseira crassipunctata Krammer Aulacoseira distans (Ehr.) Simonsen Aulacoseira granulata var. angustissima (O. Müller) Simonsen Aulacoseira granulata (Ehr.) Simonsen Amphora libyca Ehrenberg Amphora veneta Kützing Anomoeoneis sphaerophora (Ehr.) Pfitzer Aulacoseira valida (Grunow) Krammer Caloneis cf. bacillum (Grunow) Cleve Cymbella aspera (Ehrenberg) H. Peragallo Cymbella novaezealandiana Krammer Cyclostephanos novaezeelandiae (Cleve) Round Cocconeis neodiminuta Krammer Cocconeis placentula Ehrenberg & varieties Cymatopleura solea (Brébisson) W. Smith Cavinula pseudoscutiformis (Hustedt) Mann & Stickle Cyclotella meneghiania Kützing Cyclotella striata (Kützing) Grunow Diadesmis contenta (Grunow ex V. Heurck) Mann Diploneis cf. subovalis Cleve Discostella stelligera (Cleve et Grunow) Houk & Klee Epithemia adnata (Kützing) Brébisson Encyonema minutum (Hilse) D.G. Mann Encyonema neogracile Krammer Epithemia sorex Kützing Eunotia bigibba Kützing Eunotia formica Ehrenberg Eunotia bilunaris (Ehr.) Mills Eunotia minor (Kützing) Grunow Fragilaria capucina var. vaucheriae (Kützing) Lange-Bertalot Fragilariforma cf. virescens (Ralfs) Williams & Round Frustulia rhomboides (Ehr.) De Toni Frustulia vulgaris (Thwaites) De Toni Gomphonema angustatum (Kützing) Rabenhorst Gomphonema parvulum (Kützing) Kützing Gyrosigma species Hantzschia amphioxys (Ehrenberg ) Grunow Hippodonta capitata (Ehr.) Lange-Bertalot Karayevia clevei (Grunow) Round & Bukhtiyarova Luticola mutica (Kützing) D.G. Mann Muelleria gibbula (Cleve) Spaulding & Stoermer Melosira varians Agardh Navicula cincta (Ehr.) Ralfs in Pritchard D C E E D C C D D F F E F D D C E A E D D F E D E D E E E E F D E E E E B D E A E C A A F D Oruanui pH >7 c.7 (>7) <7 >7 >7 >7 >7 >7 (<7) >7 >7 >7 >7 >7 >7 >7 >7 >7 >7 >7 (>7) >7 >7 c.7 <7 >7 <7 <7 6 <7 >7 c.7 <7 >7 >7 c.7 >7 c.7 >7 >7 c.7 c.7 >7 >7 5 clusters moist Abbrev. ESM 4 Species abbreviations, moisture index (1 always, 2 mainly in water bodies; 3 regularly, 4 mainly in moist places also pH from Van Dam et al. 1994, exceptions in parentheses), taxa, cluster from statistical analysis, occurrence in 27 Oruanui tephra samples.. 27 3 27 8 4 24 3 3 0 0 0 4 7 14 27 1 22 2 2 2 12 8 23 27 27 0 13 22 1 2 1 4 10 7 2 1 4 0 1 6 1 4 5 0 4 0 5 pH c.7 >7 >7 >7 >7 c.7 c.7 >7 c.7 <7 <7 c.7 <7 >7 >7 c.7 c.7 >7 >7 <7 c.7 c.7 >7 (>7) >7 c.7 >7 >7 c.7 c.7 c.7 >7 >7 >7 >7 >7 >7 >7 >7 >7 Taxon Navicula cf cryptocephala Kützing Navicula cryptotenella Lange-Bertalot Placoneis dicephala (W. Smith) Mereschkowsky Navicula gregaria Donkin Nitzschia amphibia Grunow Nitzschia nana Grunow Nitzschia scalpelliformis (Grunow) Grunow Nitzschia vermicularis(Kützing)Hantzsch Nitzschia sp small size Navicula radiosa Kützing Navicula sp. ‘rostrate’ Navicula sm s l Navicula tridentula Krasske Pinnularia appendiculata (Agardh) Cleve Pinnularia borealis Ehrenberg Pinnularia divergentissima (Grunow) Cleve Planothidium frequentissimum(Lange-Bertalot) Lange-Bertalot Planothidium lanceolatum (Brébisson) Lange-Bertalot Pinnularia cf. microstauron (Ehr.) Cleve Pinnularia cf. maior (Kützing) Rabenhorst Pseudostaurosira brevistriata (Grunow) Williams & Round Pseudostaurosira parasitica (W. Smith) Morales Pinnularia subcapitata Gregory Pinnularia viridis (Nitzsch) Ehrenberg Rossithidium cf. linearis (W. Smith) Round & Bukhtiyarova Rhopalodia gibba (Ehrenberg ) O. Müller Rhopalodia novaezealandiae Hustedt & var. ventricosa Stauroneis acuta W. Smith Stauroneis anceps Ehrenberg Sellaphora bacillum (Ehrenberg) D.G. Mann Staurosira elliptica (Schumann) Williams & Round Sellaphora pupula (Kützing) Mereschkowksy Stauroneis legumen (Ehrenberg) Kützing Stauroneis phoenicenteron (Nitzsch) Ehrenberg Staurosirella cf. pinnata (Ehr.) Williams & Round Staurosira construens Ehrenberg Stephanodiscus hantzschii Grunow Stephanodiscus cf. minutulus (Kützing) Cleve & Möller Staurosira cf. venter (Ehrenberg) Cleve & Möller Surirella angusta Kützing Ulnaria ulna var. acus Ulnaria ulna (Nitzsch) Compère Aulacoseira granulata var. muzzanensis (Meister) Simonsen Asterionella formosa Hassall *only mentioned briefly in text not in figures. Oruanui 2 2 3 3 3 3 2 3 4 4 4 4 3 3 2 2 2 3 3 3 3 2 2 4 2 2 2 3 1 2 2 1 3 2 2 2 1 5 clusters Ncr Nct Ndi Ngr NiA NiN NiS NiV NiX Nra Nro Nsm Ntr Pap Pbo Pdv PlF PlL PMd Pmj PsB PsP Psu Pvi RoL RpG RpN Sac San SeB Sel SeP Slg Sph Spi StC StH StM Stv SuA UuA UuU *n/a *n/a moist abbrev. ESM 4 continued E A B A E E B B B E E B B A A F E E E F E D E A E D E E E D D E F F E E D C E E E E n/a n/a 1 0 0 0 4 3 3 3 1 6 11 10 1 0 7 4 1 11 14 21 26 0 3 0 7 2 11 1 1 4 9 1 1 10 25 8 0 19 26 3 21 1 0 0 6 ESM 5 Characteristics of A. ambigua and A. granulata from the literature. Character A. granulata var. muzzanensis A. ambigua A. granulata A. granulata var. angustissima Valve diameter (µm) 9-24 [8-25] 3-12 [4-17] 4-17 [2-30] 2.5-4 [3-(5)] Mantle height (µm) 5-13 [4-8] 5-15 [5-13] *{9-48} 4-20 [5-24] 8-20 [<35] >0.8 to [4.5] <5 >3.2 [<11] Ratio mantle height to valve diameter >1 (or less) 0.4-1.2 [0.3-0.6] [0.75->2 (<3.6)] †{some >5} This study Valve diameter (µm) <35 4-18 Not assessed 3.5< Mantle height (µm) 6< 8-25 Not assessed <28 >0.19 (0.45-6.3) Not assessed <6.1 Ratio mantle height to valve diameter *Turkia and Lepistö (1999); †Siver and Kling (1997). Values without brackets are from Spaulding et al. (2010); in square parentheses from Krammer and LangeBertalot (1991); in curly brackets, from other authors; in normal brackets, extreme values.