Quaternary Science Reviews 20 (2001) 1067}1091 Snowline depression in the tropics during the Last Glaciation Stephen C. Porter* Department of Geological Sciences and Quaternary Research Center, University of Washington, Seattle, WA 98195-1360, USA Abstract Five primary methods have been used to reconstruct Pleistocene snowlines or equilibrium-line altitudes (ELAs) in the tropics (23.53N}23.53S) during the last glaciation, but each has inherent errors that limit the accuracy of the results. Additional potential errors in determining ELA depression involve estimates of modern snowline altitude, dating resolution, topographic reconstruction of former glaciers, orographic e!ects, the presence of rockfall debris on glaciers, and calculation of regional ELA gradients. Eustatic sea-level lowering during the last glaciation is an additional factor in#uencing estimates of ELA depression (!ELA). In cases where modern snowline lies above a mountain summit, only a minimum value for !ELA can be obtained. At 12 tropical sites in Africa, the Americas (to 103S latitude), and Paci"c islands, estimates of average !ELA range from 440 to 1400 m, but most fall in the range of 800}1000 m (mean $1""900$135 m). In a regional study of ELA depression in the southern tropical Andes (8}223S), an average !ELA of ca. 920$250 m has been reported. Based on the assumption that glacier mass balance was controlled solely by ablation-season temperature, and assuming a full-glacial temperature lapse rate of !63C/km, depression of mean annual temperature in glaciated alpine areas was ca. 5.4$0.83C. If adjusted for a sea-level fall of !120 m at the glacial maximum, this value is reduced to 4.7$0.83C. The "gure is based on the (unlikely) assumption that accumulation on alpine glaciers has been invariant; nevertheless, it is similar to values of temperature depresson (5}6.43C) for the last glaciation obtained from various terrestrial sites, but contrasts with tropical sea-surface temperature estimates that are only 1}33C cooler than present. ! 2001 Elsevier Science Ltd. All rights reserved. 1. Introduction Recurring questions regarding the magnitude of tropical climate change during the last glacial age have emerged since publication of the CLIMAP Project Members (1976, 1981) reconstruction of ice-age sea-surface temperatures (SSTs). The CLIMAP reconstruction, which focused on the last glacial maximum (LGM) revealed large areas in the tropics to have had SSTs as warm as, or even slightly warmer than, those of the present. The CLIMAP project considered the LGM to date to 18,000 !"C yr BP [21,648 (21,484) 21,313 cal yr BP; equivalent calibrated ages ($1") have been obtained using CALIB 3.03 (Stuiver and Reimer, 1993) for ages (18,000 yr, and using Stuiver et al. (1998) for ages '18,000 yr]. Rind and Peteet (1985) subsequently noted con#icts between ice-age paleotemperatures generated by a general circulation model * Tel.: #1-206-543-1904; fax: #1-206-543-3836. E-mail address: [email protected] (S.C. Porter). experiment, which used the CLIMAP SSTs as boundary conditions, and low-latitude terrestrial paleoclimate proxy data. Their analysis employed pollen evidence and estimates of snowline depression from four tropical sites (Hawaii, the Colombian Andes, equatorial Africa, and New Guinea), and led them to conclude that the CLIMAP reconstruction underestimated the amount of tropical temperature depression, which likely amounted to 5}63C. Renewed interest in this topic has been generated by evidence and modeling that point to colder tropical temperatures than those implied by the CLIMAP reconstruction (e.g., Guilderson et al., 1994; Stute et al., 1995; Thompson et al., 1995; Bush and Philander, 1998; Farerra et al., 1999). Basic to much of the discussion about colder glacial-age tropics has been the question of snowline depression (e.g., Broecker, 1995; Hostetler and Mix, 1999; Lee and Slowey, 1999), yet most of the snowline data used in the arguments has not been rigorously evaluated. Since Rind and Peteet (1985) questioned the CLIMAP conclusions more than a decade ago, additional information has emerged that now permits a more thorough assessment. This paper focuses 0277-3791/01/$ - see front matter ! 2001 Elsevier Science Ltd. All rights reserved. PII: S 0 2 7 7 - 3 7 9 1 ( 0 0 ) 0 0 1 7 8 - 5 1068 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 on the set of paleoclimatic data bearing on snowline depression in the tropics during the last glaciation. In assessing these data, potential sources of error are also considered in arriving at site-speci"c and globally averaged values. 1.1. Glacier equilibrium-line altitudes The snowline, de"ned as the lower limit of perennial snow on the landscape, is equivalent to the "rn limit on temperate alpine glaciers, which is the lower limit of snow at the end of the ablation season. On such glaciers, the "rn limit approximates the equilibrium line, the locus of points along which the annual mass balance is zero. In most recent paleosnowline studies, the equilibrium line is regarded as synonymous with the snowline, and its altitude, following Meier and Post (1962), is designated the equilibrium-line altitude (ELA). The difference between the modern ELA (ELA ) and that of ! some earlier time (e.g., the last glaciation, ELA ) is " a measure of equilibrium-line (i.e., snowline) depression (!ELA). The mass balance of a glacier, and #uctuations of the glacier's equilibrium line, are controlled by a number of climate-related processes. For most low-latitude temperate glaciers, the most important controls are accumulation-season precipitation and ablation-season temperature. Together these parameters encompass a range of possible conditions controlling the ELA. Therefore, a unique value for past precipitation or temperature cannot be derived from the !ELA alone (Porter, 1977; Seltzer, 1994). In most published paleosnowline studies, no di!erence in precipitation is assumed (in most cases probably erroneously) between the present and the LGM, and a change in temperature is obtained by assuming a "xed atmospheric lapse rate. In cases where independent evidence for one parameter (i.e., LGM precipitation or temperature) is available from another climate proxy, then !ELA can provide an estimate of the other parameter. 2. Methods In studies of glaciated "ve common methods have former ELAs. Because the approach, the results they comparable. low-latitude mountains, been used to reconstruct methods di!er in their produce are not strictly 2.1. Cirque-yoor altitude When a glacier just "lls a cirque, its steady-state ELA typically lies not far above the average altitude of the cirque #oor (Fig. 1a). Therefore, cirque-#oor altitude has sometimes been used as a convenient proxy for former ELAs (e.g., PeH weH and Reger, 1972; Nogami, 1972, 1976; Fox and Bloom, 1994). While this approach is reasonable in situations where Pleistocene glaciers terminated at cirque thresholds, in such cases the cirque glaciers disappeared when snowlines rose above cirque levels at the end of the Pleistocene, meaning that site-speci"c ELA depression cannot be calculated directly. Furthermore, in many glaciated tropical mountain ranges and on large volcanoes, glaciers expanded beyond cirques to form valley glaciers, and in these circumstances ELAs lay below (often well below) the altitudes of cirque #oors. In such cases, snowline reconstructions based on cirque#oor altitudes may substantially underestimate actual snowline depression. 2.2. Upvalley limits of lateral moraines For a glacier in a balanced (steady-state) condition, the upvalley limit of its contemporary lateral moraines lies at the equilibrium line, below which ice-#ow paths are diverging and ascending. If lateral moraines of a former glacier are well preserved, then the altitude of their upvalley limits may closely approximate the former ELA (Fig. 1b). Whereas this method has been used with success in some areas (e.g., Andrews, 1975; Mahaney, 1990), in many alpine regions lateral moraines are absent or poorly preserved and at best provide only lower limiting estimates for contemporaneous ELAs. Meierding (1982) considered the highest lateral moraine altitude to be the least reliable of several methods for determining Pleistocene ELAs in the Front Range of Colorado. 2.3. Glaciation threshold The glaciation threshold (GT) for a speci"ed area (normally a 7.5# topographic quadrangle or its equivalent: e.g., ca 60 km# at 453 latitude) is the mean altitude between the lowest mountain with a glacier on it and the highest without (Fig. 1c). Although this method is not applicable to isolated peaks, such as volcanoes, it has proved useful for assessing regional snowline trends across mountain ranges (e.g., "strem, 1966; Porter, 1975, 1977; Rodbell, 1992). Studies have shown that the GT essentially parallels the regional ELA trend, but commonly lies 100}200 m higher (Meierding, 1982; S. C. Porter, unpublished data). A limiting problem when using the GT to determine Pleistocene snowline depression is the need to identify and map former glacierized and nonglacierized peaks for a speci"c time (e.g., the LGM) throughout a rather broad region. Such extensive "eldwork normally is impractical, and so subjective assessments of the extent and age of past glaciation S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 1069 Fig. 1. Common methods used to derive past equilibrium-line altitudes in the tropics. See text for details. Cirque-yoor method: The ELA of a cirque glacier is inferred to lie above, but not far above, the cirque #oor (CF). However, if a glacier expands beyond the cirque threshold, the ELA will be lower than the cirque #oor. Lateral-moraine method: The upglacier limit of a lateral moraine approximates the ELA of the glacier that constructed the moraine. Glaciation-threshold method: The average altitude between the highest nonglacierized summit (Sn) and lowest glacierized summit (Sg) de"nes the glaciation threshold (GT) in a restricted area. Altitude-ratio method: In the median-altitude variant of this method, the ELA lies midway in altitude between the head of the glacier (A ) and the terminus (A ). In the terminus-head altitude ratio (THAR) approach, the THAR equals the ratio of the # $ altitude di!erence between the terminus and the ELA divided by the total altitude range of the glacier. The ELA can be estimated by adding the altitude of the terminus to the product of the total altitude range and an assumed THAR. Accumulation-area ratio method: In using this method, an accumulation-area ratio (AAR) is used, based on the ratio of the accumulation area (Sc) to the total area of the glacier (where Sa is the ablation area). Empirical studies suggest that a steady-state (SS, when the mass balance"0) AAR of 0.65$0.5 is appropriate for most temperate, relatively debris-free glaciers. The surface topography of the former glacier is reconstructed based on glacial-geologic data. From the glacier's area}altitude distribution (here depicted as a cumulative curve) and an assumed AAR, an ELA value is obtained. are usually based on analysis of topographic maps or aerial/satellite imagery. Despite the inherent uncertainties and subjectivity involved (Meierding, 1982), this method has proved useful in assessing snowline depression in some areas (e.g., the Cascade Range: Porter et al., 1983, Fig. 4-15). 1070 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 2.4. Altitude ratios Use of the median altitude of a former glacier as a proxy for past snowline altitude is based on the empirical observation that the "rn limit on temperate glaciers at the end of the ablation season often lies about halfway between the head of a glacier and its terminus (Fig. 1d). HoK fer (1879) used a variation of this approach by computing the arithmetic mean of the altitude of a glacier's terminus and the average altitude of the mountain crest at the glacier's head. The median altitude method, in theory, is easy to apply if adequate altitude data are available (i.e., topographic maps with a resolution of ca 30 m or less, "eld data based on altimetry measurements, or digital-elevation data), and if a former alpine glacier had a normally distributed area vs. altitude curve. Nevertheless, whereas determination of the lower limit of a glacier based on end moraines or outwash heads may be relatively straightforward, assigning an upper altitudinal limit to the former glacier in the cirque region is generally subjective and arbitrary. High, steep cirque headwalls can lead to a potential range of estimates di!ering by tens to hundreds of meters. The median altitude method assumes that the ratio of a glacier's range in altitude above the equilibrium line to the total altitudinal range of the glacier is 0.5. A variation of this method has also been used in which the ratio [termed the toe-to-head (i.e., terminus-to-head) altitude ratio, or THAR] is some lower value (Fig. 1c). For example, Meierding (1982) reported that THARs of 0.35}0.40 generated the most accurate results in the Colorado Front Range. The resulting ELAs were ca 100}150 m lower than those derived using the median altitude (THAR"0.5). 2.5. Accumulation-area ratio The accumulation-area ratio (AAR) of a glacier is the ratio of the glacier's accumulation area to the sum of its accumulation and ablation areas (Fig. 1e). Empirical studies of modern glaciers have shown that under steady-state conditions the AAR typically falls between 0.5 and 0.8 (i.e., 0.65$0.15) (Meier and Post, 1962), meaning that the accumulation area occupies approximately two-thirds of the glacier's total area. In calculating past ELAs using the AAR method, a steady-state condition is assumed and the glacier's extent and topography are determined using glacial-geologic data such as lateral moraines, erratics, and trimlines (Porter, 1981). An initial (estimated) ELA is selected using the altitude ratio method. Contours of the glacier surface are then drawn, consistent with principles of glacier #ow (contours of a glacier in a balanced state typically are concave upglacier in the accumulation area and convex in the ablation area, with the degree of concavity or convexity increasing with increasing distance from the equilibrium line). The area between each pair of successive contours is then measured and used to generate a cumulative curve that graphically displays the glacier's area/altitude distribution. Assuming a steady-state AAR of 0.65, the ELA can be determined from the graphical plot. Error limits are derived by assuming a range of AAR values (e.g.,$0.05 or$0.10). 2.6. Comparison of methods Meierding (1982) assessed the relative reliability of various paleo-ELA methods based on data from the Front Range of Colorado. Using "rst-order trend-surface analyses, he found that the cirque-#oor, median-altitude, and lateral-moraine methods had the greatest root mean square error (RSME"97}148 m), whereas the THAR ("0.40) and AAR ("0.65) methods produced the most consistent results (RSME"ca 80 m). A similar study in Norway by Torsnes et al. (1993) also concluded that the AAR method produced the most reliable results. The only similar comparative study in low latitudes was made by Osmaston (1989a) in his study of glaciated equatorial African mountains. He concluded that a modi"ed version of the altitude-ratio method gave the best results. Overall, the general lack of reliable topographic information and detailed "eld mapping for many tropical glaciated areas, as well as limited radiometric age control, means that errors inherent in most of these methods may be magni"ed at low-latitude sites. 2.7. Additional potential sources of error In addition to di!ering results obtained from the several ELA methods outlined above, as well as the errors peculiar to each method, several other sources of error enter into the calculation of LGM snowline depression. 2.7.1. Altitude of the modern snowline On many tropical mountains, glaciers are absent or the modern snowline altitude is known only approximately. Furthermore, in a time of generally warming climate, the transient nature of the snowline means that values obtained from direct observations a decade or more ago, or from topographic maps based on them, may underestimate the present snowline altitude. Where direct observational data are unavailable, modern ELAs obtained from recent glacier maps or aerial photography and employing the median altitude or AAR methods likely o!er the best estimates. Nevertheless, errors of tens of meters or more may result. 2.7.2. Age of the LGM glacial limit In few cases has the limit of the last glaciation been radiometrically dated in tropical mountains, and in no instance has it been closely bracketed by dates. Therefore, synchrony of moraines likely built during the LGM S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 commonly is inferred, based mainly on relative-age criteria and the pattern of moraine sequences, and on inferred regional or global correlations. Recent studies in several (nontropical) mountain ranges report that glaciers advanced repeatedly during the last glaciation (marine isotope stage 2), and that the resulting moraines often are nested or closely spaced. These ice advances typically date between ca 27,000 and 16,000 !"C yr BP [31,300 and 18,972 (18,876) 18,784 cal yr BP] (e.g., Phillips et al., 1990; Gosse et al., 1995; Lowell et al., 1995; Swanson and Porter, 1999). Although comparable moraine sequences may exist in the tropics (e.g., New Guinea: Blake and LoK %er (1971); Andes: Clapperton (1987) and Thouret et al. (1996)), none has yet been closely dated. The actual age of an `LGMa moraine may lie anywhere within this ca 12,500 yr range. Nevertheless, the juxtaposition of such moraines implies comparable snowline depressions ()50 m di!erence) during these successive advances. 2.7.3. Paleoglacier reconstructions A potential source of error in the AAR method is associated with the topographic reconstruction of a former glacier, which is necessarily subjective. Below the equilibrium line, terminal and lateral moraines and trimlines provide altitudinal constraints along a glacier's former margin, whereas above the former ELA little control usually exists. Errors in circumscribing the accumulation area tend to be minimal because of steep valley walls upglacier from the equilibrium line; thus, an erroneous altitude estimate for the glacier margin in this zone only minimally a!ects the lateral extent of the accumulation area. Errors related to topographic reconstruction are minimized in the case of small glaciers with normally distributed area}altitude curves. Large, complex glaciers, and those having a trend perpendicular to the regional ELA gradient, may generate unreliable results. 2.7.4. Orographic ewects Small glaciers con"ned to deep cirques on leeward #anks of mountains, or shaded by steep mountain walls, may persist at altitudes well below those of glaciers on fully exposed slopes. In general, ELAs based on geometrically simple glaciers in exposed sites are likely to provide the most regionally consistent ELA values. In addition, orographic e!ects (e.g., unequal exposure to sun, unequal accumulation) may lead to a range of tens of meters in the altitude of the "rn limit on a given glacier. 2.7.5. Anomalies resulting from a cover of rockfall debris An extensive cover of rockfall debris can insulate an alpine glacier and greatly reduce ablation (Clark et al., 1994). Such glaciers tend to be relatively insensitive to a warming climate and typically advance to lower altitudes than do nearby debris-free glaciers. Clark et al. 1071 (1994) suggested that the steady-state AAR on such glaciers might be reduced from ca 0.65 to as little as 0.10. Estimates of paleo-ELAs for debris-covered glaciers based on the AAR or THAR methods therefore may result in anomalous ELA values and produce erroneous regional ELA gradients. 2.7.6. ELA gradient An error can be introduced in calculating !ELA if the regional snowline gradient is not considered. If there is no present or past ELA gradient and both the modern and LGM ELAs are determined for glaciers on the opposite #anks of a mountain range, the !ELA on each #ank will be the same (Fig. 2, !ELA ). However, consider the ! common case where the modern and LGM ELAs are determined for opposite #anks of a mountain (e.g., Porter, 1979) or mountain range (e.g., Porter et al., 1983), across which there is a marked precipitation gradient. If regional trend surfaces of present and past ELAS are determined, then !ELA may be less than if no gradient exists (assuming uniform lowering on both #anks) (Fig. 2, !ELA ), or the !ELA on one #ank may di!er from that # on the opposite #ank if the modern and paleo-ELA gradients converge or diverge (Fig. 2, !ELA ). Where $%" possible, therefore, trend surfaces of present and former ELAs should be calculated and their di!erence determined in order to obtain the most reliable estimates of ELA depression. 2.7.7. Adjustment for lowered sea level In most ELA reconstructions, sea-level lowering at the LGM is not considered. However, the eustatic fall of sea level had the e!ect of raising the altitude of mountain summits by the amount of the sea-level drawdown. Assuming that sea level fell ca 120 m (e.g., Fairbanks, 1989; Bard et al., 1990; Rohling et al., 1998), this amount should be subtracted from the calculated !ELA to obtain an adjusted ELA depression with respect to the changing world sea-level datum (Broecker, 1997). For example, if the present snowline (ELA ) on a glacier lies at 3900 m ! (Fig. 3) and the reconstructed ELA at 3000 m, then the " apparent !ELA"900 m. However, during full-glacial time, the ELA lay at an altitude of 3120 m, rather than " 3000 m. Therefore, the di!erence between the present ELA (3900 m) and full-glacial ELA , (3120 m) is 780 m ! " ("!ELA adjusted for sea-level fall, designated !ELA % in Fig. 3). The sea-level factor becomes relevant if !ELA is used in conjunction with an atmospheric lapse rate to estimate temperature depression during full-glacial time, for it will reduce the estimate by ca 10}15% (see below). 3. Tropical mountain glaciers (23.53N}23.53S) Data on full-glacial snowlines are available for 18 mountain areas in tropical Africa, Central and South 1072 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Fig. 2. Where no modern (ELA ) or full-glacial (ELA ) snowline gradients exist, !ELA is the same on opposite sides of a mountain or mountain range ! " (!ELA ). Where ELA gradients exist, the !ELA may be less (!ELA ) or greater (!ELA ) than in the no-gradient case, or may di!er on opposite sides ! # $ of a mountain or mountain range (!ELA , !ELA ). " & Fig. 3. When adjusted for fall of sea level from its modern level (SL ) to its full-glacial level (SL ), !ELA is reduced by an amount equivalent to the ! " sea-level fall (!ELA ). A fall in sea level of 120 m had the e!ect of raising the altitude of the summit and the reconstructed !ELA by this amount. % " America, and several glaciated Paci"c islands (Fig. 4). Some permit only minimum estimates of snowline depression because the highest summit lies below the modern snowline, but for more than half, the fullglacial snowline depression can be calculated. In addition, regional data on snowline depression have been generated for the tropical Peruvian, Bolivian, and Chilean Andes. 3.1. Africa 3.1.1. Ethiopian highlands The highlands of Ethiopia, which reach altitudes of more than 4000 m, are too low to intersect the modern snowline, but the highest summits developed glaciers during the last glaciation. The Simen Mountains (13314# N) culminate in Ras Dejen (4543 m), the highest mountain in Ethiopia (Fig. 5a). Hurni (1989) mapped moraines, cirques, and periglacial features that presumably date to the last glaciation (no radiometric dates are available). Of 20 former glaciers, those that formed in NW- to NEfacing cirques terminated as low as 3760 m; those occupying S-facing catchments reached only as low as 4400 m. Former ELAs were estimated on the basis of the median altitude of the glaciers (using end moraines and the top of cirque headwalls), as well as the altitude of the upper end of lateral moraines, giving an average value of ca 4250 m. Minimum !ELA was therefore 290 m (Table 1). S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 1073 Fig. 4. Map showing location of glaciated areas in the tropics where ELA and !ELA estimates have been obtained. " Glacial landforms (cirques, U-shaped cross-valley pro"les, moraines, striations) were used by Potter (1976) to map the extent of a former ice cap ('140 km#) atop Mt. Badda (7352# N; published altitudes are inconsistent and range from 4350 to 4133 m), ca 160 km southeast of Addis Ababa (Fig. 5b). End moraines in W-trending valleys were noted as low as 3650 m. Lateral moraines, inferred to be of last-glacial age, reach as high as 4000 m. If a summit altitude of 4350 m is adopted, then minimum ELA depression was 350 m. A comparable minimum !ELA results if the median altitude method is used. 3.1.2. Kilimanjaro, Tanzania Mt. Kilimanjaro (3305#S), the highest mountain in Africa, now supports (5 km# of glacier cover. This volcanic massif includes two summits; the highest, Kibo (5895 m), lies west of a lower peak, Mawenzi (5147 m) (Fig. 5b). During a succession of glaciations, glaciers on the volcano expanded to cover ca 153 km# (Osmaston, 1989a). End moraines of the last (`Maina) glaciation on Kibo and Mawenzi reach as low as ca 3250 m. To determine snowline depression on Kilimanjaro, Osmaston (1989a) used a modi"cation of Kurowski's (1891) method, which assumed that net accumulation is a linear function of altitude and that the ELA lies at the mean altitude of the glacier area. Osmaston included an arbitrary weighting factor to take possible nonlinearity of the accumulation trend into account, and concluded that this approach, which he called the Altitude}Height}Accumulation (Alt}Ht}Acc) method, was likely to give more reliable results. Osmaston's (1989a) analysis disclosed an asymmetrical distribution of glaciers, and an ELA that slopes gently ! eastward on Kibo (5455}5360 m) and lies at ca 5030 m on Mawenzi. ELA gradients slope west}northwestward " across Kibo (4540}4575 m) and eastward across Mawenzi (4300}4240 m), leading to unequal values of !ELA on di!erent sides of the mountain (Fig. 5c). These he attributed to complex meteorological in#uences. Osmaston concluded that a !ELA of 770$60 m between the Main glaciation and a Recent ice advance (i.e., middle-to late-Neoglaciation) explained his results on most of Mazwenzi and Kibo. The calculated rise in ELA since ! the Neoglacial maximum (a minimum of 60 m) increases the !ELA to at least 830$160 m (Table 1). 3.1.3. Ruwenzori, Uganda The Ruwenzori Mountains (0320-25#N) reach altitudes of more than 5000 m and contain many small glaciers that collectively cover ca 4.5 km# (Fig. 5d). During the latest (Lake Mahoma) of at least three Pleistocene glaciations, ice covered ca 260 km# and terminated as low as 2070 m on the eastern slope (Osmaston, 1989b). A date of 14,750$290 !"C yr BP[17,981 (17,647) 17,315 cal yr BP] from Mahoma Lake, provides a minimum age for moraines that impound the lake (Livingstone, 1962, 1975). Osmaston (1989b) calculated ELAs of present and former glaciers using the Area}Height}Accumulation method described above. He derived a su$cient number of measurements to de"ne the regional ELA gradient, which descends to the east}southeast. The ELA along ! an approximately west}east transect across the range descends from ca 4720 to 4270 m (Osmaston, 1989b, Fig. 7b), the estimated average ELA being ca 4600 m. ! During the Lake Mahoma glaciation the ELA sloped " 1074 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Fig. 5. Sites in Africa where ELA and !ELA estimates have been obtained. (a) Ras Dejen, Simien Mountain, Ethiopia; (b) Mt. Badda, Ethiopia; (c) " Kilimanjaro, Tanzania; (d) Ruwenzori Mountains, Uganda; (e) Mt. Kenya, Kenya; (f) Mt. Elgon, Kenya}Uganda, and Aberdare Mountains, Kenya. See text for details. S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 eastward from ca 4100 to 3600 m (Osmaston, 1989b, Table 10). Along this W}E transect, the !ELA increased from ca 620 to 670 m. 3.1.4. Mt. Kenya, Kenya The glaciers of Mt. Kenya (5202 m; 0309#S) have been shrinking in area and now cover (1 km# (Young and Hastenrath, 1991). Modern ELAs are estimated to lie at ca 4700}4725 m (Mahaney, 1990, Fig. 11.8) and glacier termini at 4650$100 m. Moraines of the Liki II glaciation (Osmaston, 1989b; Mahaney, 1990, Table 11) extend as low as 3200 m, and are older than 15,000 !"C yr BP [18,003 (17,916) 17,830 cal yr BP]. Osmaston (1989b, Table 11), using the median altitude method, calculated an ELA of 4200 m for the glaciers originating " on the highest summit (Batian), and a !ELA of 600 m (Osmaston, 1989b, Table 12). Mahaney (1990, Fig. 11.8), on the other hand, estimated that the full-glacial ELA, based on lateral moraine altitudes, lay between ca 3680 (SW slope) and 4000 m (NW slope) (Fig. 5e); most likely it averaged close to ca 3700 m. Based on his data, the !ELA ranged between ca 725 and 1020 m. The discrepancy between Mahaney's results (Fig. 5e, Table 1) and Osmaston's may largely re#ect the di!erent methodologies used. 3.1.5. Other glaciated African summits Two additional low-latitude mountains, each lying below the modern snowline, developed large glaciers during the last glaciation (Osmaston, 1989b, Table 11). On Mt. Elgon (4320 m; 1330#N), which had 75 km# of ice at the glacial maximum [prior to ca 11,000 !"C yr BP; 12,966(12,917)12,865 cal yr BP], moraines extend as low as 3350 m. Osmaston (1989b) calculated that the ELA " lay at 3600}3900 m, which means a minimum !ELA of 420}720 m (Fig. 5f). In the Aberdare Mountains (4001 m; 0315}45#S), which had 23 km# of ice cover at the glacial maximum, LGM moraines reach as low as 3200 m. The calculated ELA is 3700 m and !ELA was '300 m " (Fig. 5f). 3.2. Mexico and Central America 3.2.1. Mexican volcanoes The high stratovolcanoes of Mexico's Cordillera NeovolcaH nica display evidence of repeated Pleistocene glaciations. Two of the best-documented records are from IztaccmH huatl (5286 m; 19305}15#N) and Ajusco (3937 m; 19312.5#N) (White, 1962; Heine, 1976, 1978, 1984; White and Valastro, 1984) (Fig. 10). Initially, chronologies of glaciation were based on relative-dating criteria, limiting radiocarbon ages (primarily of paleosols, wood fragments, peat, and calcrete), and correlation with glacial sequences elsewhere (Heine, 1984). Heine (1984) reported evidence of glacier advances at ca 35,000 1075 and 12,000 yr BP [ca 39,800 and 14,111 (13,992) 13,880 cal yr BP], but none that correlated with the marine isotope stage 2 maximum. White (1981), using relative-age criteria, correlated the Hueyatlaco moraines (Diamantes Substage, Second Advance) on IztaccmH huatl and Santo TomaH s Substage moraines on Ajusco with Pinedale moraines of the western United States that are generally regarded as correlatives of the isotope stage 2 maximum (e.g., Richmond, 1986). Subsequently, White and Valastro (1984) inferred that the Santo TomaH s drift is more than 25,000 !"C yr (ca 29,000 cal yr) old, based on a single radiocarbon date of a bulk sample from the B horizon of a buried soil. The soil is developed on Santo TomaH s till and lies stratigraphically below tephra on which another buried soil is developed that dates to 15,090$150 !"C yr BP [18,186 (18,009) 17,832 cal yr BP]. Recent $'Cl surface-exposure ages for the outer Hueyatlaco moraines on ItaccmH huatl indicate that the main Late Pleistocene advance probably culminated 19,000}18,000 $'Cl yr ago, and that the inner moraines are 15,000} 14,000 $'Cl yr old (VaH squez-Selem, 1998). White (1981) calculated modern and past ELAs for glaciers on the western slope of IztaccmH huatl and the northern and eastern slopes of Ajusco. Based on mean altitudes and an AAR of 0.65, he determined an average ELA of ca 4880 m for glaciers on IztaccmH huatl and ! 3970 m for the Diamantes Second Advance, indicating an LGM snowline depression of 910 m (Fig. 6a). For Ajusco, which lies 65 km west of IztaccmH huatl, White calculated that the ELA for the Santo TomaH s advance was 3270 m. " This is ca 155}170 m below ELAs calculated for two Neoglacial ice advances and ca 665 m lower than the present ice-free summit. Absence of glacier ice on Ajusco (White and Valastro, 1984, Fig. 2) implies an ELA of ! '3937 m, and a full-glacial !ELA of '665 m (Fig. 6b). 3.2.2. Altos de Cuchumatanes, Guatemala Hastenrath (1974) reported evidence of glaciation in the Altos de Cuchumatanes (15330#N), a carbonate karst upland that reaches altitudes of nearly 3800 m (Fig. 6c). An end-moraine complex, with up to 20 m of relief, descends to 3470}3600 m. Hastenrath's published reconnaissance maps do not permit detailed topographic reconstruction of the former glaciers. He estimated that the associated ELA lay at ca 3650 m, which is close to the median altitude of the glaciated terrain. The corresponding minimum !ELA is 150 m. Although no dates are available, Hastenrath considers the moraine characteristics comparable to those of presumed LGM age in the mountains of Venezuela, Costa Rica, and Mexico. 3.2.3. Sierra de Talamanca, Costa Rica In the Cordillera de Talamanca, culminating in Cerro ChirripoH (9329#N; 3819 m) and now below the regional snowline, two groups of moraines delimit former small Taiwan Shan, Taiwan Mauna Kea, Hawaii Ajusco, Mexico IztaccmH huatl, Mexico Altos de Cuchumatanes, Guatemala Ras Dejen, Simen Mountains, Ethiopia Cerro ChirripoH , Costa Rica Pico BolmH var, Venezuela Mt. Badda, Ethiopia Mt. Kinabalu, Borneo Nevado del RumH z, Colombia Nevado de Santa Isabel, Colombia Mt. Elgon, Kenya}Uganda Ruwenzori, Uganda Mt. Kenya, Kenya Antisana, Ecuador Aberdare Mountains, Kenya Chimborazo, Ecuador Kilimanjaro (Kibo), Tanzania 23330#N 19350#N 19312.5#N 19310#N 15330#N 13314#N 8}93N 7352#N 6305#N 4352#N 4348#N 1320#N 0320}25#N 0310#S 0330#S 0340#S 3305#S 1325#S 9329#N Locality Latitude Table 1 Tropical snowline data 5895 6310 4001 5790 5202 4320 5109 4950 5200 4101 4350 &5000 3819 4543 3798 3937 5286 3997 4206 Altitude (m) '3800 4880 4715 ELA &(m) ! Median altitude Alt}Ht}Acc Median altitude Alt}Ht}Acc Alt}Ht}Acc 5360}5455 4540}4575 3880}4090 3700 '4001 4800}4900 3480}3860 3680}4200 3600}3900 3600}4100 3500}4000 3550}4000 3665 4000 3800 3500}3550 4250 3650 3270 3970 3350}3450 3780 ELA (m) " 4600}4830 4700}4725 Median '3800 altitude Median '4543 altitude Median '3819 altitude Median &4700 altitude Lateral '4350 moraines, median altitude Median 4570$150 altitude Median 4800}4900 altitude Median 4700}4800 altitude Alt}Ht}Acc '4320 Alt}Ht}Acc 4270}4720 AAR (0.65) AAR (0.65) Cirque #oor AAR (0.60) Method 830$60) 810}920 '300 970}1120 Yes Yes Yes Yes Yes No Yes '420}720 620}670 725}1020 Yes Yes No 1000 1075 905$150 (?) No '350 No '305 No No '290 &900 No No No No Yes 5a 6c 6b 6a 9a 9b Figure Hastenrath (1973) and 6d Orvis and Horn (2000) Schubert (1974, 1984) and 7a Clapperton (1993) Potter (1976) 5b Hurni (1989) Hastenrath (1974) Ono (1988) Porter (1979); Dorn et al. (1991) White and Valastro (1984) White (1981) Reference(s) Clapperton (1987, 1993) '12,000, (30,000 Osmaston (1989a) Osmaston (1989b) Osmaston (1989b) Osmaston (1989b); Livingstone (1975) Osmaston, (1989b) and Mahaney (1990) Clapperton (1987, 1993) '12,200 '12,000, (30,000 '15,000, (25,000 '11,000 '14,750$290 5c 6e 5f 6e 5e 5f 5d Koopmans and Stau!er 9c (1967) '16,220$80 Herd (1974, 1982) Thouret 7b ('19,500,(23,000) et al. (1996) Herd (1974, 1982) 7c (12, 650$130 (19,080$820 '10,140$120 ca 21,000 ; '15,090$150 20,300$2300; 18,900$800 ELA gradient Age control( assessed '150 '665 910 '400 '425 (935) !ELA' (m) 1076 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Mt. Albert Edward, Papua New Guinea Mt. Victoria, Papua New Guinea Cordillera Blanca, Peru 8325#S 8358#S 7340#S Peruvian Andes Peruvian Andes Peruvian Andes Peruvian}Bolivian Andes Chilean}Bolivian Andes Chilean}Bolivian Andes Chilean}Bolivian Andes 103S 123S 143S 163S 183S 203S 223S Median altitude, cirque #oor Median altitude, cirque #oor Median altitude, cirque #oor Median altitude, cirque #oor Median altitude, cirque #oor THAR (0.2, 0.4), lateral moraines THAR (0.2, 0.4), lateral moraines THAR (0.2, 0.4), lateral moraines THAR (0.2, 0.4), lateral moraines Cirque #oors, THAR (0.45) Cirque #oors Cirque #oors Cirque #oors THAR (0.45) THAR (0.45) THAR (0.45) THAR (0.45) Alt}Ht}Acc 3500}3550 3650}3700 3600}3650 3650}3700? &4600 &4600 &4600 &4600 4700}5000 4700}5000 4500}5100 4500}5200 5100}5300 5400}5600 5400}5800 3400}4200 3400}4600 3600}4200 3200}4400 3200}4200 3800}4400 3800}4800 900}1200 700}1100 700}1000 550}1200 800}1100 950}1100 900}1100 600}1400 &4700}5300 3200}4900 1100}1350 900}1150 750}950 3150}3300 3540}3640 440}970 '335}385 '340}390 '470}520 '820}870 '850}1010 830$60) 3850}3900 4620 4620 4620 4200}4400 3500}3600 &4600 4985$120 4240}4300 5030 Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No No Yes (12,100$190 '12,100$190 '12,100$190 '13,280$190 &Estimated values in italics 'Minimum values in italics (Ages in !"C yr BP, except for $'Cl ages (in italics) )Based on Osmaston's (1989a) estimated average value of 770$60 m, and corrected for a minimum 60 m rise of ELA since the Neoglacial maximum. Peruvian Andes Co. Oriental (local divide, &4500 W), Peru Co. Oriental (main divide &4500 E), Peru 5}173S 7308}58#S 7308}58#S '6000 4036 3990 4121 4368 4509 5147 Co. Oriental (main divide &4500 W), Peru Sarawaged Range, Papua New Guinea 6}6320#S 7308}58#S Mt. Giluwe, Papua New Guinea Kilimanjaro (Mawenzi), Tanzania Mt. Wilhelm, Papua New Guinea 6302#S 5345#S 3305#S Klein Klein Klein Klein Klein Klein Klein et et et et et et et al. al. al. al. al. al. al. (1999) (1999) (1999) (1999) (1999) (1999) (1999) Fox and Bloom (1994) Rodbell (1992) Rodbell (1992) Rodbell (1992) Rodbell (1992) LoK %er (1972) LoK %er (1972) LoK %er (1972) LoK %er (1972) LoK %er (1972) Osmaston (1989a) 8 8 8 8 8 8 8 6f 6f 6f 6f 9d 9d 9d 9d 9d 5c S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 1077 1078 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Fig. 6. Sites in Mexico and Central America where ELA and !ELA estimates have been obtained. (a, b) IztaccmH huatl and Ajusco, Mexico; (c) Altos de " Cuchumatanes, Guatemala; (d) Cerro ChirripoH , Costa Rica. See text for details. valley glaciers (Weyl, 1956; Hastenrath, 1973) (Fig. 6d). The upper basins of the main glaciated valleys lie at 3450}3550 m and contain several small moraine- and rock-dammed lakes. A !"C date of basal sediments from moraine-impounded Lago de Morrenas (3480 m) indicates that the basin was deglaciated prior to 10,140$120 !"C yr BP [12,112 (11,808) 11,123 cal yr BP] (Horn, 1993). At a site near El Empalme (2400 m), ca 60 km northwest, the paH ramo (alpine) pollen zone dates to 20,750 !"C yr BP (ca 24,200 cal yr BP) and represents a treeline depression of at least 650 m (Martin, 1964); possibly, this date is close to the time of maximum snowline depression as well. Assuming that glaciers headed close to 3700 m (i.e., just below most crest altitudes) and terminated as low as ca 3300}3400 m (Hastenrath, 1973; Orvis and Horn, 2000), the full-glacial ELA (median-altitude method) lay at ca 3500}3550 m. This value is comparable to that recently derived by Orvis and Horn (2000) of 3506}3523 m, and represents a minimum ELA depression of ca 295}315 m (Fig. 6d). They reported that the annual 03C isotherm lies at 4900 m, or ca 1400 m above the late Pleistocene ELA, which therefore is a possible minimum value for ELA depression. 3.3. Andes of South America 3.3.1. Sierra Nevada de MeH rida, Venezuela Schubert (1974, 1984) and Schubert and Clapperton (1990) reported evidence of multiple glacier advances in the Sierra Nevada de MeH rida (altitudes to 5000 m) between 8315# and 9300#N latitude in the central Venezuelan Andes. He assigned the mapped drifts to several stades of the MeH rida Glaciation, of presumed Late Pleistocene age. The oldest recognized drift (Early Stade), which lacks dating control and has no clear morainal morphology, may date to marine isotope stage 4 or 6 (Clapperton, 1993, Table 14.1a). Well-developed moraines of the last glaciation (Late Stade) form a nested and overlapping succession between 3000 and 3500 m altitude. A minimum age of 12,650$130 !"C yr BP [15,128 (14,874) 14,621 cal yr BP] was obtained for peat upvalley from the youngest of these moraines. Peat beneath and above thick outwash just beyond the outer moraine limit is S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 dated 19,080$820 and 16,500$290 !"C yr BP [22,700 and 19,736 (19,423) 19,153 cal yr BP], respectively, pointing to an isotope stage 2 age for the Late Stade. A date for basal peat on the #oor of a cirque demonstrates deglaciation near the range crest by 11,470 !"C yr BP [13,463 (13,384) 13,317 cal yr BP] (Schubert and Clapperton, 1990). Schubert and Valastro (1974) mapped the glacial geology in the PaH ramo de la Culata (northern Venezuelan Andes), where end moraines of the last glaciation are traceable as low as ca 3150 m and cirque headwalls upvalley average 4450 m. Based on the median altitude method, the ELA for Pico BolmH var (&5000 m) would " have been at ca 3800 m (Fig. 7a). This is about 900 m below the modern snowline [ca 4700 m according to Schubert (1974), but more recently above 4700 m (Schubert, 1998)]. However, this !ELA value should be considered only approximate, for the ELA gradient has not been considered and the modern snowline value is only an estimate. 3.3.2. Cordillera Central, Colombia Glaciers and perennial snow"elds on the high Andean volcanoes Nevado del RumH z (5200 m), Nevado de Santa Isabel (4950 m), and Nevado del Tolima (5200 m) cover ca 36 km# between latitudes 4335# and 5310#N (Herd, 1974, 1982). According to Hoyos-Patin$ o (1998), the snowline on Nevado del RuH iz lies at 4900 m on the western #ank and 4800 m on the eastern #ank (Fig. 7b). On Nevado de Santa Isabel, the snowline lies at 4800 m on the western #ank and 4700 m on the eastern #ank (Hoyos-Patin$ o, 1998) (Fig. 7c). These values are 60}170 m higher than those measured by Herd (1974, 1982) in 1972}73. Herd's values were based on average transient summer snowline, which was estimated to lie ca 100 m below the actual snowline. Herd (1974) mapped the approximate extent of late Pleistocene glaciers on the massif and obtained a date of 13,760$150 !"C yr BP [16,705(16,498)16,286 cal yr BP] for peat directly beneath a tephra that overlies the outermost drift of the last glaciation. His mapped glacier limit approximates the closely nested limits of the early and late Murillo drifts of Thouret et al. (1996). The late Murillo advance predates basal peat overlying the moraines having an age of 16,220$80 yr BP [19,247 (19,100) 18,970 cal yr BP], while the early Murillo moraines likely date between 28,000 and 21,000 !"C yr BP [28,000 and 23,100 cal yr BP] based mainly on regional tephrochronology. In the Eastern Cordillera of Colombia, the greatest advance of the last glaciation is believed to have culminated between ca 23,500 and 19,500 !"C yr BP (ca 28,000 and 23,100 cal yr BP) (Helmens et al., 1996). Herd (1974) determined the late Pleistocene ELA using the median-altitude method, assuming that ice divides of the full-glacial ice caps on the volcanoes represented the 1079 headward limits of individual ice tongues. The reconstructed ELA on Nevado del RumH z, along a section oblique to the modern ELA gradient, rose from ca 3550 m on the eastern slope to ca 4000 m on the western slope. On Nevado de Santa Isabel, the Late Pleistocene ELA along the same transect as the present ELA gradient rose from ca 3500 to 4000 m (Herd, 1974). In both cases, Herd calculated the !ELA as ca 950$50 m. However, if the modern snowline values of Hoyos-Patin$ o (1998) are used, the mean !ELA increases to 1075 for Nevado del RumH z and 1000 m for Nevado de Santa Isabel (Figs. 7b, c). 3.3.3. Ecuadorian Andes The Ecuadorian Andes comprise two parallel ranges, the Cordillera Occidental (western range; 0322#N}1329#S) and the Cordillera Oriental (eastern range; 0301#N} 2320#S), separated by intermontane basins and forming dissected plateaulike surfaces at 3500}4000 m altitude (Clapperton, 1987) (Fig. 7d). The ranges are surmounted by 14 glacierized stratovolcanoes more than 4600 m high (Jordan and Hastenrath, 1998). Clapperton (1987, 1993) summarized the glacial geology of the mountains and noted that deposits of `full-glaciala age typically include 3}4 lateral and/or terminal moraines that date broadly to within the interval 34,000}12,000 !"C yr BP [38,700 and 14,111 (13,992) 13,880 cal yr BP). In discussing his approach for determining ELA depression, he noted that some earlier studies used cirque-#oor altitudes to calculate !ELAs. He cautioned that during the glacial maximum, most cirques were buried under continuous ice"elds, implying that cirques likely originated during earlier intervals of reduced glacier cover. Therefore, such cirques cannot be used for constructing former snowlines. Exceptions were mountain ridges in southern Ecuador that are too narrow to have supported ice"elds or ice caps. Clapperton (1987) estimated the ELA based on "eld ! observations and aerial photographs, deriving values of 4800}4000 m for Chimborazo (6310 m) in the Cordillera Occidental and 4600}4830 m for Antisana (5790 m) in the Cordillera Oriental (Fig. 7d). The values for ELA on ! Chimborazo volcano compared closely with those based on the upper limits of lateral moraines. He used the median-altitude method to calculate ELA depression along transects across the two cordilleras, noting, however, that the results were `crude approximationsa because the estimated modern ELAs were imprecise and the reconstructions were based on topographic maps with a large (40 m) contour interval. In both cordilleras, eastward-sloping ELA and ELA gradients are present, ! " and !ELA is greatest on the eastern #ank of each range (Fig. 7d). Mean !ELA values increase from west to east across the Andes, from 810}920 m in the Cordillera Occidental to 970}1120 in the Cordillera Oriental (based on values in Clapperton's Fig. 7; values in Clapperton's Table 2 are somewhat greater). 1080 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Fig. 7. Sites in tropical South America where ELA and !ELA estimates have been obtained. (a) Pico BolmH var, Venezuela; (b, c) Nevado del RumH z and " Nevado de Santa Isabel, Colombia; (d) Chimborazo and Antisana, Ecuadorian Andes; (e) Cordillera Blanca and Cordillera Oriental, Peruvian Andes. See text for details. 3.3.4. Peruvian Andes Studies of snowline depression in Peru have centered mainly in the Cordillera Blanca (7340#S) and Cordillera Oriental (8308#}9358#S) (Fig. 7e). Rodbell (1992) used the THAR method and derived measurements for ca 20 glaciers in each mountain range using 1 : 100,000-scale S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 topographic maps with 50 m contours, supplemented by measuring on 1 : 25,000-scale aerial photographs the upper limits of preserved lateral moraines. Results obtained using THAR values of 0.2 and 0.4 typically di!ered by ca 150}350 m. The accuracy of resulting ELAs was estimated to be $50 m. The age of full-glacial moraines is unknown, but radiocarbon dates from moraine-dammed lakes and bogs provide minimum ages for deglaciation in the Cordillera Oriental of 12,100$190 !"C yr BP [14,382 (14,114) 13,870 cal yr BP] and in the Cordillera Blanca of 13,280$190 !"C yr BP [16,140 (15,859) 15,559 cal yr BP]. 3.3.4.1. Cordillera Oriental. Rodbell (1992) obtained ELA values for former glaciers lying east and west of the " main divide, as well as west of a local divide lying ca 20 km west of the main divide (Fig. 7e). No glaciers are present in the study area, but ELA is based on a re! gional glaciation threshold estimate of 4620 m (Seltzer, 1987). Paleoglaciers on the western side of the local divide had an average ELA of 3850-3900 m, represent" ing a !ELA of 750}950 m. Corresponding ELA values " west and east of the main divide are 3540}3640 and 3150}3300 m, respectively. The !ELAs are 900}1150 and 1100}1350 m, respectively, with estimated mean values of ca 850}1000 and 1200 m for the two respective sides of the range (Rodbell, 1992). These results demonstrate a W}E snowline gradient, with snowline depression increasing toward the Amazon Basin, which is, and apparently was, the primary source of precipitation. 3.3.4.2. Cordillera Blanca Rodbell's (1992) estimates of ELA in the Cordillera Blanca range from 4985$120 m ! west of the divide to 5030$110 m east of the divide, indicating no discernable gradient (Fig. 7e). The calculated ELA is 4400$100 to 4250$110 m " (THAR"0.2 and 0.4, respectively) west of the divide and 4200$170 to 4350$150 m east of the divide, giving an average of ca 4300 m for the range as a whole. The calculated !ELA is 440}900 and 530}970 m, respectively. Rodbell (1992) suggested that, based on comparison with ELA and glaciation threshold values, the average ! !ELA for the range is ca 700 m. 3.3.4.3. Regional Andean reconstructions. Nogami (1976) compared the modern snowline along the entire Andean cordillera (103N}553S), based on the altitude of existing glaciers shown on aerial photographs (pre-1976), with a Pleistocene snowline reconstructed using the cirque-#oor method. The regional pattern disclosed that past and recent snowline surfaces rise westward between the northern equatorial Andes and northern Chile (ca 303S), at which latitude a shift occurs to northeastward-rising snowlines. The di!erence between Nogami's two surfaces (!ELA) is less than 1000 m. 1081 Fox and Bloom (1994) made a regional study of Late Quaternary snowlines in the Peruvian Andes (5}173S). They based their estimate of modern snowline altitude on the lower limit of snow depicted on 1 : 100,000-scale aerial photographs (1955}63). The data were transferred to topographic maps (50-m contour interval), and an error of $100 m was assumed. They showed that the snowline rises from ca 4700 m in the northern and eastern Andes to more than 5300 m in the south and west, and has a westward-rising gradient, especially in the north. The overall pattern is similar to that derived by Nogami (1976). Full-glacial snowline was reconstructed based on the cirque-#oor method, assuming that glaciers occupied the lowest cirques contemporaneously. The time of this occupation, however, has not been dated. The reconstruction indicates that snowline depression reached a maximum of 1400$200 m on the eastern side of the Peruvian Andes but decreased westward to a minimum of 600 m in the western ranges and on most of the Peruvian Altiplano (Fig. 8). An average value was not given, but based on their Fig. 7 it appears to be in the range of 800}1000 m in the north, decreasing to 600}800 m in the south. Klein et al. (1999) subsequently expanded on the work of Fox and Bloom (1994) to include not only the Andes of southern Peru, but also Bolivia and northern Chile (Fig. 8). They adopted Fox and Bloom's estimate of the modern snowline altitude in Peru (see above), and used LANDSAT Thematic Mapper imagery to map the lower limit of snow cover in the southern part of their study region. Maps with scales of 1 : 50,000 (20 m contours) and 1 : 250,000 (250 m contours) were used. They noted the lack of adequate dating control for the last glaciation, but assumed that moraines mapped as (local) LGM were constructed contemporaneously. In Peru, cirque-#oor altitudes were used to determine LGM snowlines; however, the age of the last cirque glaciation is unknown, and so their assumed age equivalence is unproven. Furthermore, many cirques lay at the heads of valley glaciers. In the southern region, an adjusted THAR of 0.45 was used to calculate speci"c snowlines, as well as a regional snowline pattern for the last glaciation. In the area where data from the two methods overlap, the di!erence in estimated ELA between the methods is ca 175 m. The con"guration of the reconstructed glacial snowline is similar to that of Fox and Bloom's (1994) modern snowline. Their calculated snowline depression over the tropical Andes averaged 920$250 m. However, consistent with the conclusions of Fox and Bloom (1994), the calculated !ELA is ca 1200 m in the eastern cordillera of Peru and Bolivia, and 500}800 m to the west [see also Seltzer (1992, 1994), who calculated an ELA depression of only 300$100 m on the western slope of the Cordillera Real]. In the arid ranges along the border of Bolivia and Chile, snowline depression reached 1000}1200 m (Klein et al., 1999, Fig. 7). 1082 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 the LGM, an ice cap covered 70 km# of the upper slopes above ca 3200 m altitude (Porter, 1979) (Fig. 9b). Two surface-exposure ages have been obtained for boulders at the surface of the youngest (Makanaka) drift and one for glacially abraded rock near the summit (20,300$2300, 18,900$800 yr, and 14,700$500 $'Cl yr, respectively; Dorn et al., 1991). These imply that the LGM occurred during marine oxygen-isotope stage 2 and that the summit was deglaciated by ca 15,000 yr ago. Based on the AAR method, the full-glacial ELA, corrected for ca 35 m of postglacial isostatic subsidence (2.5 m/10$ yr; Porter, 1979), averaged ca 3780 m and had an eastward-sloping gradient. The minimum !ELA was ca 425 m. The July freezing isotherm now lies close to 4715 m, about 500 m above the summit, and likely approximates the ELA . Assuming a comparable relation! ship between July temperature and ELA during the " LGM, and using an AAR of 0.60$0.05, !ELA was 935$190 m. Fig. 8. Map of the Peruvian, Bolivian, and northern Chilean Andes showing pattern of regional ELAg surface (after Klein et al., 1999). Bold lines perpendicular to trend of isolines show arbitrary transects depicted in Fig. 10 and included in Table 1. 3.4. Pacixc Islands 3.4.1. Taiwan Shan, Taiwan Along the Taiwan Shan, which forms the high crest of Taiwan, 62 peaks exceed 3000 m altitude; the highest, Yu Shan, reaches 3997 m. Kano (1934}35) identi"ed 35 cirques in the northern sector of these mountains, lying mainly on the eastern side of the range. Moraines on cirque #oors and beyond cirque thresholds de"ne the limits of former cirque and valley glaciers, as well as a small ice cap. Although no dates were available, Kano assigned the landforms to the last glaciation and noted that cirque altitudes range from ca 3500 to 3730 m. He suggested that glaciers extended down to 3300 m on the northern and eastern slopes of the highest peak, but were ca 300 m higher on the southern and western sides of the range. Ono (1988, Fig. 1; Y. Ono, pers. comm. 2000) estimated the full-glacial snowline on Taiwan to lie at ca 3400 m, midway between an ELA of 3350 m on Xue Shan and " 3450 m on Yu Shan (to the south), derived using the cirque-#oor and glaciation threshold methods (Fig. 9a). Based on this "gure, and an inferred average crest altitude of 3800 m, the !ELA was '400 m. 3.4.2. Mauna Kea, Hawaii The summit of Mauna Kea (4206 m; 19350#N) on the island of Hawaii lacks perennial glacier ice. However, at 3.4.3. Mt. Kinabalu, Borneo Glacial-erosional features below the summit of Mt. Kinabalu (4101 m; 6305#N) on the island of Borneo were reported by Koopmans and Stau!er (1967) and Stau!er (1968). They estimated a glacial-age snowline of 3735$75 m (12,000}12,500 ft) for the mountain based on the median-altitude method (Fig. 9c). The downvalley extent of ice was inferred from possible moraines at ca 2835 and 3230 identi"ed on aerial photographs. The glacial deposits have not been dated. If the landforms are correctly identi"ed as moraines and the higher one dates to the LGM, as inferred here, then based on the medianaltitude method, the average ELA lay at ca 3665 m and " !ELA was at least 435 m. Koopmans and Stau!er estimated that the ELA lies at ca 4570$150 m, which ! would imply a !ELA of 905$150 m during the last glaciation. 3.4.4. Papua New Guinea New Guinea is the only equatorial Paci"c island (5}93N) with numerous highlands (ca 3800}4500 m) that generated a Late Pleistocene glacier cover. Most glacialgeologic studies have focused on the eastern half of the island (Papua New Guinea), which is more accessible than Irian Jaya to the west. Although no glaciers exist in the eastern highlands, LoK %er (1972) inferred that the snowline lies at ca 4600 m, the reported altitude of the snowline in the glaciated areas of Irian Jaya (Verstappen, 1964; Allison, 1976). The LGM snowline was determined by LoK %er (1972) using the arithmetic mean of the altitudes of terminal moraines and the mean altitude of the catchment area, as well as the altitudes of the lowest cirque #oors (Fig. 9d), and is similar to estimates based on the glaciation threshold (LoK %er, 1971). Bowler et al. (1976) estimated the age of the LGM to be ca 18,000}16,000 !"C yr BP [21,648 (21,484) 21,313}18,972 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 (18,876) 18,784 cal yr BP] based on pollen-derived estimates and limiting !"C ages from two highland sites. Hope and Peterson (1976) reported that maximum depression of vegetation zones occurred 18,500}16,000 !"C yr [22,000}18,972 (18,876) 18,784 cal yr] ago, and that in several areas substantial ice retreat had occurred by 14,500}14,000 yr [17,453 (17,369) 17,287}16,879 (16,792) 16,704 cal yr] ago. Mt. Giluwe (4368 m), a dome-shaped stratovolcano at 63S latitude, was mantled by a large ice cap (188 km#) during the last glaciation. Blake and LoK %er (1971) described end moraines that form concentric belts around the mountain as low as 2750}3000 m, and alluvium, interpreted as outwash, that overlies peat having an age of 23,600$1100 !"C yr (ca 27,400 cal yr) old. LoK %er (1972) calculated an ELA of 3500}3550 m (Fig. 9d), which " represents a minimum !ELA of ca 820}870 m. For other areas of less-extensive glaciation lying between ca 53 and 93S latitude, LoK %er (1972) estimated the ELA to lie between 3500 and 3700 m (Fig. 8d). However, " recent studies in the Sarawaged Range, using modern topographic maps, suggest an ELA as low as 3400 m ! (M. Prentice, pers. comm., 2000). If a snowline gradient existed across New Guinea, it was very gentle and cannot be de"ned on the basis of available data. Adopting Verstappen's (1964) value of 4600 m for the modern snowline, LoK %er (1972) concluded that snowline depression in these areas during the last glaciation was ca 900}1100 m. 4. Discussion As summarized above, data bearing on snowline depression in tropical latitudes are restricted to eastern Africa, Central and South America, and several Paci"c islands. Di!erent methods have been used in deriving ELA , ELA , and !ELA, but the results are not strictly ! " comparable. The AAR method, often regarded as the most reliable and consistent, has been used infrequently in tropical snowline studies. Altitude ratios (median altitude, THAR, Alt}Ht}Acc) have been employed in most cases. In the few instances where lateral moraines were used to de"ne former ELAs, the results were similar to those obtained using altitude ratios. Cirque-#oor altitudes likely are the least-reliable method, especially without associated "eld studies and adequate dating control. Although cirques may record some average regional level of glacial conditions (e.g., Porter, 1989), they do not necessarily record a synchronous glacial event, such as the LGM. Di!ering methodologies, therefore, introduce potential variance to !ELA estimates, the magnitude of which is di$cult to assess. In some temperate-latitude studies (e.g., Meierding, 1982), methodological di!erences amounted to 100 m or more in calculated ELA ; compa" rable di!erences of 100}200 m probably should be expected in tropical snowline studies. 1083 4.1. Estimates of modern ELAs Estimates of the modern snowline altitude probably constitute the least-reliable component of the !ELA calculations. In many cases, summit altitude is used as a minimum altitude for the modern snowline, recognizing that the ELA must lie some unknown distance ! above a nonglacierized summit. In other cases, the altitude of the modern snowline is estimated, either based on limited "eld work (usually by noting the level of the transient snowline during some part of the ablation season), by assuming a relationship between the snowline and the summer (July Northern Hemisphere) or annual mean freezing isotherm based on radiosonde data, or by using the mapped limits of snow and glacier cover depicted on published topographic maps. In the latter approach, generally it is assumed that snow/ice conditions shown on an array of maps that cover an area or region are essentially contemporaneous and represent a steady state, and that the contour interval is suitable for relatively high-resolution interpolation between contours (e.g., )30 m). The lack of a consistent and rigorous method of determining the modern snowline in the tropics could introduce an error of up to several hundred meters in some of the reported !ELA results. Furthermore, in a time when global climate is warming, snowline values measured several decades apart may di!er by tens of meters. Potential errors may also occur when the ELA is inferred to ! lie at the level of the summer freezing isotherm, if this assumed relationship is not always valid. 4.2. Reconstructed Pleistocene ELAs Data from 26 sites in the tropics permit reconstructions of full-glacial snowline (ELA ) (Table 1; Fig. 10). " However, for only 11 of these has the ELA gradient been " determined; nevertheless, in only two cases (IztaccmH huatl and Cordillera de MeH rida) may the lack of a calculated snowline gradient have introduced a signi"cant error into the !ELA calculation. For most localities or regions, the age of the reconstructed ELA is unknown, but it is commonly assumed " to equate with the `globala LGM (i.e., ca 21,000}15,000 !"C yr BP; ca 24,400}17,453 (17,369) 17,287 cal yr BP). Available radiocarbon dates (Table 1) generally are inadequate to verify whether the reconstruction represents full- or late-glacial (or even pre-LGM) conditions. In South America, regional reconstructions for the Andes of Peru, Bolivia, and Chile (Nogami, 1976; Fox and Bloom, 1994; Klein et al., 1999), mainly using the cirque-#oor method, add additional data for the tropics that supplement information from speci"c areas. Despite the acknowledged uncertainties and assumptions involved in these studies, including a potential error of 1084 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 Fig. 9. Sites in tropical Paci"c islands where ELA and !ELA estimates have been obtained. (a) Taiwan Shan, Taiwan; (b) Mauna Kea, Hawaii; (c) Mt. " Kinabalu, Borneo; (d) Papua New Guinea. See text for details. $100}200 m at any site, they serve to emphasize the pattern, signi"cance, and overall consistency of regional ELA gradients along and across mountain systems. 4.3. Snowline depression For 12 of the tropical sites the modern ELA has been determined or estimated with su$cient con"dence that !ELA at the LGM can be calculated. For the others, the reported values are approximate, or only minimum estimates (Fig. 10; Table 1). To assess snowline depression, the data are divided into two groups. The "rst group (mainly north of 103S latitude) includes speci"c estimates at tropical sites in Africa, the Americas, and Paci"c islands (Fig. 10). The two summits of Kilimanjaro are considered a single locality, and average values are used for the Cordillera Blanca and the Cordillera Oriental reported by Rodbell (1992). The second group (mainly south of 103S latitude) includes regional reconstructions spanning segments of the tropical (central) Andes between 73 and 223S latitude. The mean !ELA for the "rst set of data (n"12) is 900$135 m. The Ruwenzori forms an outlier from the otherwise reasonably tight data set; if it is excluded, the resulting mean is not statistically di!erent at 1" (925$115 m). The second group of data (n"8) is represented by one composite data set (Fox and Bloom, 1994; not plotted in Fig. 10) and 7 transects parallel to ELA gradients at 23 latitude intervals, with values derived from Klein et al. (1999, Fig. 7) (Fig. 8; Table 1). These data illustrate a substantial regional range of !ELA values, especially perpendicular to the trend of the Andes. Through this sector of the cordillera, as far south as 183S latitude, the ELA is " lowest, and !ELA values are greatest, on the Amazonian slope. Although the !ELA varies regionally, Klein et al. S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 1085 Fig. 10. (a) Modern and full-glacial ELAs for areas in the tropics (23.53N}23.53S latitude) that supported Pleistocene mountain glaciers. Where summits now lie below the snowline, minimum ELAs are shown as the summit altitude. In some cases ELA and (or) ELA are shown with a range of ! " values, primarily resulting from ELA gradients across mountains or mountain ranges. See text and Table 1 for details. (b) Full-glacial snowline depression (!ELA) for tropical mountains and mountain ranges that supported Pleistocene glaciers. Minimum values represent summits that lie below the modern snowline. In areas where ELA gradients exist, the number shown is the median of a range of values. Areas north of about 103S latitude have a mean !ELA of 900$135 m, whereas a regional study of Andes south of this latitude produced an estimated mean of 920$250 m (Klein et al., 1999). (1999) calculated an average value of 920$250 m, the mean being close to that of the "rst group of data discussed above (Fig. 10b). In the following discussion, the value for the "rst data set will be used to represent global tropical snowline depression during the LGM. A snowline depression of 900$135 m for tropical glaciers at the LGM is similar to estimates obtained for many temperate-latitude late Pleistocene mountain glaciers in both the Northern and Southern hemispheres (e.g., Porter, 1975; Porter et al., 1983; Furrer, 1991). Departures from the general average may be related to any of a number of factors, including local variations in temperature depression, distance from precipitation sources, or nonuniform changes in accumulation (i.e., precipitation) and radiation (as in#uenced by cloudiness, surface albedo, and topographic shading) in di!erent areas. The close similarity of derived !ELA values for tropical and temperate latitudes argues for a fundamental temperature control of !ELA and implies a reasonably consistent decline of air temperature during the glacial maximum in extra-polar alpine regions near maritime sources of precipitation. As discussed earlier, because sea level was ca 120 m lower than today at the LGM (Fig. 3), a !ELA of 1086 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 900$135 m is equivalent to a !ELA of 780$135 m as % a result of the changing ocean reference level. 5. Paleotemperature inferences from snowline data Paleotemperature values based on snowline depression are frequently cited, but often uncritically. As Seltzer (1994, p. 159) has emphasized, `climatic interpretations of ELA depression will always lack unique solutions because of the complexity of the problema (see also Porter, 1977). The most common approach has been to calculate lowering of temperature (usually annual, summer, or July, but not always clearly stated) based on an assumed LGM atmospheric temperature lapse rate. Inferred lapse rates vary widely. For example, LoK %er (1970) applied a lapse-rate range of !5 to !63C/km in the highlands of New Guinea; Porter (1979) used a lapse rate of !5.33C/km for Mauna Kea, Hawaii; Clapperton (1987) applied a lapse rate of !6.53C/km in Ecuador, a value also used by Rodbell (1992) and Seltzer (1987) for the Peruvian Andes; Wright (1983) and Osmaston (1989a) used a lapse rate of !73C/km in Peru and East Africa, respectively; and Fox and Bloom (1994) used a nonlinear lapse rate for the tropical Andes (!6.53C/km at !3.5 km altitude to nearly !103C/km at 6 km). Hostetler and Mix (1999) adopted a `nominal tropical lapse ratea of !5.5 3C/km. This range in lapse-rate values (!5.3 to !103C/km) by itself translates into a 4.53C range of values for temperature lowering, assuming a snowline depression of 1000 m. Assuming a mean tropical lapse rate of !6$13C/km, and no change in precipitation, an average snowline depression of 900$135 m translates into a full-glacial mean temperature depression of 5.4$0.83C. Using the full range (550}1400 m) of reported tropical !ELA (Table 1), the lapse-rate approach produces temperature depressions ranging from 3.3 to 8.43C. Adjusted for sealevel lowering of 120 m, average temperature depression is 4.7$0.83C. In these simple, straightforward calculations, changes in the accumulation component of glacier mass balance have been ignored. Intuitively, it would seem to be an important factor in some alpine regions. However, Seltzer (1994) assessed its importance and concluded that relatively large changes in precipitation would be required to a!ect ELA substantially. In tropical areas with high precipitation, the limiting control on glacier extent likely is the altitude of the 03C isotherm (Hostetler and Clark, 2000). Of equal or greater importance may be the low seasonality of tropical climates, which leads to a relatively constant height of the freezing isotherm (Klein et al., 1999). At these latitudes, ELAs that lie above the level of the 03C isotherm are sensitive to accumulation changes, for above this level all precipitation falls as snow. At lower altitudes, as temperature rises above 53C, precipitation falls as rain. In the Andes, for example, the precipitation gradient is not uniform: rainfall reaches a maximum at ca 1000 m altitude, above which it decreases. A drop in freezing level, therefore, may convert a larger percentage of the precipitation to snow and signi"cantly increase accumulation, without a change in net precipitation. In this way, a relatively uniform drop in air temperature might produce regionally variable glacier mass balances leading to nonuniform ELA depression. It is apparent that estimating paleotemperatures using snowline data involves some substantial uncertainties. Not only are there pitfalls in the use of di!erent methodologies, as well as signi"cant potential ranges of error, but the multiple factors that control glacier mass balance and ELA do not permit an unequivocal and unique paleotemperature solution. Nevertheless, the regional and global averages for tropical data suggest that the simplistic lapse-rate approach may at least provide a "rst-order approximation of regional and global tropical temperature reduction at the LGM. 6. Other tropical LGM paleoclimate data and model simulations The mean paleotemperature values based on snowline depression are in general accord with other paleotemperature estimates from tropical land areas that suggest full-glacial temperatures were substantially lower than tropical warm-season SSTs (Fig. 11). The CLIMAP Project Members (1976, Fig. 3; 1981) derived a mean LGM tropical SST cooling of ca 1}33C, relative to modern (Fig. 11). More recent studies of the tropical oceans report LGM SSTs that were 1.7$0.7 to 2.8$0.73C lower than present based on alkenone data (Lyle et al., 1992; Sikes and Keigwin, 1994; Bard et al., 1997) and Mg/Ca data (Lea et al., 2000), broadly consistent with mean CLIMAP estimates (Fig. 11). In contrast, oxygen-isotope and Sr/Ca data from corals at Barbados imply LGM SSTs 5 to 63C colder than now (Guilderson et al., 1994). Crowley (2000), however, has questioned the interpretation of the Sr/Ca data, noting that an SST depression of this amount would leave ice-age corals at or below their limit of habitability. A variety of terrestrial climate proxy data suggests that LGM temperature lowering was greater over land than over the ocean. Representative estimates (Fig. 11 and Table 2), which are based on pollen data, noble-gas values in groundwater, and oxygen-isotope records in glacier ice, range from !5 to !123C (for additional data, see Farerra et al., 1999). Plotted with these temperature estimates in Fig. 11 are values based on !ELA and !ELA . These average snowline-based estimates, at 1 % standard deviation, fall close to many of the other estimates of terrestrial temperature lowering, and therefore S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 1087 Fig. 11. Estimates of temperature depression during the last glaciation (!Tg) at representative tropical sites, based on various climate proxies, compared with CLIMAP tropical sea-surface temperature (SST) di!erence between modern August and August 18,000 !"C yr BP (CLIMAP Project Members, 1976, Fig. 3). Temperature depression based on average tropical !ELA is shown by bold line and 1" range by light shading; value adjusted for sea-level lowering (!ELA ) is shown by dashed bold line, and 1 " range by dark shading. Error estimates (1"), when reported, are shown by vertical % dashed lines. 1 * eastern Atlantic Ocean alkenone data (Sikes and Keigwin, 1994); 2 * Indian Ocean alkenone data (Bard et al., 1997); 3 * central Paci"c Ocean alkenone data (Lyle et al., 1992); 4 * western and eastern Paci"c Ocean Mg/Ca data (Lea et al., 2000); 5 * Hawaiian foram !!(O data (Lee and Slowey, 1999); 6 * Barbados !!(O and Sr/Ca data (Guilderson et al., 1994); 7 * noble gases in Oman groundwaters (Weyhenmeyer et al., 2000); 8 * pollen in Guatemala lakes (Leyden et al., 1993); 9 * noble gases in Nigerian groundwaters (Edmunds et al., 1999); 10, 11, and 12 * pollen data from Panama, Brazil, and Ecuador, respectively (Colinvaux et al., 1996); 13 * noble gases in Brazil groundwaters (Stute et al., 1995); 14 * !!(O of Huascaran ice cap, Peru (Thompson et al., 1995); 15 * pollen data from Brazil (Colinvaux et al., 1996); 16 * noble gases in Nambia groundwaters (Stute and Talma, 1998). Table 2 Representative tropical SST and terrestrial paleoclimatic data for the LGM Data No. Latitude Location !SST (3C) Data Reference SST data 1 2 3 4 5 6 03 203N}203 S 0357#N 0319'}2348#N 21.36#N 13315#N E Atlantic Ocean Indian Ocean Central Paci"c Ocean W & E Paci"c Ocean Hawaiian Islands Barbados !1.8 !1.7$0.7 !1 !2.8$0.7 !2 !5 Alkenone Alkenone Alkenone Mg/Ca Foram !!(O Sr/Ca Sikes and Keigwin (1994) Bard et al. (1997) Lyle et al. (1992) Lea et al. (2000) Lee and Slowey (1999) Guilderson et al. (1994) Terrestrial Data 7 8 9 10 11 12 13 14 15 16 23330#N 16355#N 11330'}13330#N 93N 03 63S 73S 93S 21}223 S 24330#S Oman Guatemala Nigeria Panama Brazil Ecuador Brazil Peru Brazil Namibia !6.5$0.6 !6.5 to !8 !6 *!5 !6 !6 !5.4$0.6 !8 to !12 !6 to !9 !5.3$0.5 Noble gas Pollen Noble gas Pollen Pollen Pollen Noble gas !!(O of ice Pollen Noble gas Weyhenmeyer et al. (2000) Leyden et al. (1993) Edmunds et al. (1999) Colinvaux et al. (1996) Colinvaux et al. (1996) Colinvaux et al. (1996) Stute et al. (1995) Thompson et al. (1995) Colinvaux et al. (1996) Stute and Talma (1998) support the conclusion that LGM surface land temperatures typically were depressed more than SSTs of adjacent oceans. Similar values have been reported in a modeling study of LGM climate that used a global coupled ocean}atmosphere model of intermediate complexity (Ganopolski et al., 1998). The simulation showed that tropical land areas cooled an average of 4.63C (comparable to ELA , Fig. 11), whereas SSTs between 203N % 1088 S.C. Porter / Quaternary Science Reviews 20 (2001) 1067}1091 and 203S cooled by 3.33C in the Atlantic, 2.43C in the Paci"c, and 1.33C in the Indian Ocean. Farerra et al. (1999) used a variety of climate-proxy data to calculate average cold-season cooling at the LGM that ranged from !2.5 to !3.03 at present sea level to ca !63 at 3000 m altitude, suggesting nonlinear lapse rates. Such a relationship is apparent in a recent rise in the tropical freezing level, which is closely linked to an increase in SST (Diaz and Graham, 1996). Whereas the observed tropical SST change was ca 0.2}0.33C, temperature change at the level of the freezing isotherm, based on a standard lapse rate of !63/km, was ca 0.63C, or two to three times as great (Crowley, 2000). Modi"cation of tropical lapse rates at the LGM could well be related to a change in the mean altitude of the tropical inversion, in turn associated with a shift in the position and strength of subtropical high-pressure cells (e.g., Hostetler and Clark, 2000). Betts and Ridgway (1992) evaluated several factors that may be related to the discrepancy between tropical snowline depression and SSTs. They computed that a decrease in average tropical SST by 23 at the LGM and an increase in tropical sea-surface pressure by 14 mbar (the result of a 120 m fall in sea level) would account for an 800 m depression of the freezing isotherm. Signi"cantly, this result is consistent with recent (post-CLIMAP) estimates of SST lowering cited above (1.7}2.83C) and the mean !ELA (780$135 m) derived in the present study. % The mean !ELA value is also close to !ELAs (ca % 800}870 m) reported by Hostetler and Clark (in press) based on mass-balance modeling of several tropical glaciers in New Guinea, Hawaii, Africa, and the Andes. This review has focussed on the derivation and assessment of tropical paleosnowlines. The limited quantity and limitations of the existing information point to the need for additional studies to enlarge and improve the data set. However, even with adequate data, translating snowline depression into estimates of land-surface temperature depression is likely to persist as a challenging problem. Among the important questions yet to be answered are: (1) what was the degree to which the mass balance of tropical glaciers at the LGM was in#uenced by a change in precipitation? and (2) were LGM lapse rates di!erent than today, and were they linear or nonlinear? At present, suitable evidence to answer these questions remains elusive. Acknowledgements The initial draft of this paper was written while I enjoyed hospitality of Nick Shackleton in the Godwin Laboratory, Cambridge University, and Lloyd Keigwin in the McLean Laboratory, Woods Hole Oceanographic Institution. I thank Matsuo Tsukada for translation of a Japanese article used in this review, and Geo! Seltzer for information about his snowline studies in South America Helpful comments by reviewers Alan Gillespie, Michael Prentice, and Geo! 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