冰川物质平衡线的估算方法

冰川物质平衡线高度(ELA)与气候变化, 特别是与气温和降水的变化关系密切, 是重建古气候和反映冰川积累和消融变化的重要代用指标.直接观测方法可以获得较为精准的ELA, 但不能大范围展开.因此, ELA的间接估算方法, 如赫斯法(Hess)、 积累区面积比率法(AAR)、 面积–高程平衡率法(AABR)、 末端至冰斗后壁比率法(THAR)、 终碛到最高峰高差比率法(TSAM)、 侧碛最大高度法(MELM)、 冰斗底部高程法(CF)、 冰川作用阈值法(GT)等, 得到了广泛的发展与应用.然而, 由于受到雪崩或风吹雪补给、 表碛覆盖、 冰川类型和形态等因素的影响, 单一使用某种方法易受到算法本身的限制, 误差较大, 需综合考虑各种算法的适用性和选取参数的差异, 以提高计算的精度, 同时也要考虑到后期构造抬升等的影响.     

长白山现代理论雪线和古雪线高度

根据冰川地貌和地形特征、岩性、冰川沉积物的风化程度以及OSL测年结果,认为长白山地区发育两期冰川作用,即末次冰盛期和晚冰期,测年结果分别为20.0±2.1ka和11.3±1.2ka。根据平衡线（ELA）处6～8月多年平均气温（T）和年降水量（P）的关系,计算长白山现代理论雪线高度为3380±100m。通过积累区面积比率AAR（accumulation-arearatio）、冰川末端到山顶高度TSAM（the terminal to summit altitudinal）,冰川末端至分水岭平均高度Hofer（the terminal to average elevation of the catchment area）、末端至冰斗后壁比率THAR（toe-to headwall altitude ratios）、冰斗底部高程CF（cirque-floor altitudes method）、侧碛堤最大高度法MELM（maximum elevation of lateral moraines）等方法计算该区末次冰盛期雪线高度为2250～2383m,平均值2320±20m。考虑到末次冰盛期后地壳上升20m,当时雪线的实际高度为2300±20m,冰盛期的雪线降低值为10⁸0±100m。晚冰期北坡和西坡的雪线高度分别为2490m和2440m,平均值2465m,考虑新构造运动后的雪线实际高度2454m,降低值926±100m。长白山新构造运动（LGM上升约20m,晚冰期上升约11m）在末次冰盛期以来对冰川发育的影响不明显。     

Late pleistocene glacial equilibrium-line altitudes in the Colorado Front Range: A comparison of methods

Six methods for approximating late Pleistocene (Pinedale) equilibrium-line altitudes (ELAs) are compared for rapidity of data collection and error (RMSE) from first-order trend surfaces, using the Colorado Front Range. Trend surfaces computed from rapidly applied techniques, such as glaciation threshold, median altitude of small reconstructed glaciers, and altitude of lowest cirque floors have relatively high RMSEs (97–186 m) because they are subjectively derived and are based on small glaciers sensitive to microclimatic variability. Surfaces computed for accumulation-area ratios (AARs) and toe-to-headwall altitude ratios (THARs) of large reconstructed glaciers show that an AAR of 0.65 and a THAR of 0.40 have the lowest RMSEs (about 80 m) and provide the same mean ELA estimate (about 3160 m) as that of the more subjectively derived maximum altitudes of Pinedale lateral moraines (RMSE = 149 m). Second-order trend surfaces demonstrate low ELAs in the latitudinal center of the Front Range, perhaps due to higher winter accumulation there. The mountains do not presently reach the ELA for large glaciers, and small Front Range cirque glaciers are not comparable to small glaciers existing during Pinedale time. Therefore, Pleistocene ELA depression and consequent temperature depression cannot reliably be ascertained from the calculated ELA surfaces.     

北极Svalbard地区冰川物质平衡研究进展

回顾了Svalbard地区冰川物质平衡观测研究的历史,总结了该区域自1950年代以来冰川物质平衡的主要特征.结果表明:1)冰川净平衡、冬季积累和夏季消融没有明显长期变化趋势,净平衡一般为负值,导致冰体不断地缩减;2)冰川冬季积累年际波动较小,基本保持稳定状态;夏季消融年际波动较大,但没有融化增加的迹象;3)面积/海拔高度分布的不同导致了各冰川物质平衡的差异,面积较小(<10 km²)、海拔较低(<500 m)的冰川持续退缩;而具有更高海拔高度、更大面积的冰川则处于平衡或略微增长状态;4)净平衡与冰川平衡线高度(ELA)具有良好的负相关性,平均物质平衡梯度无明显变化,物质平衡对平衡线高度变化(气候变化)的敏感性保持稳定;5)Svalbard地区冰川物质平衡与该区夏季各月正积温和冬季降水具有密切的相关性.最后提出了加强Svalbard地区冰川物质平衡内补给过程研究以及与我国天山冰川物质平衡的对比研究,以求更加准确地认识Svalbard地区冰川物质平衡特征.     

Comparison of Late Pleistocene and Modern Glacier Extents in Central Nepal Based on Digital Elevation Data and Satellite Imagery

Late Pleistocene and modern ice extents in central Nepal are compared to estimate equilibrium line altitude (ELA) depressions. New techniques are used for determining the former extent of glaciers based on quantitative, objective geomorphic analyses of a 90-m resolution digital elevation model (DEM). For every link of the drainage network, valley form is classified as glacial or fluvial based on cross-valley shape and slope statistics. Down-valley transitions from glacial to fluvial form indicate the former limits of glaciation in each valley. Landsat Multispectral Scanner imagery for the same region is used to map current glacier extents. For both full-glacial and modern cases, ELAs are computed from the glacier limits using the DEM and a toe-to-headwall altitude ratio of 0.5. Computed ELA depressions range from 100–900 m with a modal value of 650 m and a mean of 500 m, values consistent with previously published estimates for the central Himalaya but markedly smaller than estimates for many other regions. We suggest that this reflects reduced precipitation, rather than a small temperature depression, consistent with other evidence for a weaker monsoon under full-glacial conditions.     

冰川零平衡线处的物质平衡及其应用

论证了在稳定状态时的冰川平衡线即零平衡线ＥＬＡ０）处的比净平衡大致等于整个冰川的平均净平衡。提出了ＥＬＡ０的直接测定方法、误差范围以及利用冰川中值高度计算ＥＬＡ０的公式。认为可以利用ＥＬＡ０的特征简化冰川物质平衡的观测及计算，以及利用冰川编目资料大面积估算冰川物质平衡状况的可能性。     

藏东南波堆藏布江流域古乡冰期冰川重建

“古乡冰期”是青藏高原第四纪冰川作用中最具代表性的冰期之一,指代的是倒数第二次冰期,其命名依据来源于藏东南波堆藏布江谷地、保存于古乡一带的终碛-侧碛垄,已有的宇宙成因核素¹⁰Be暴露测年结果显示其发生于海洋氧同位素阶段（MIS）6。然而,古乡冰期时波堆藏布江流域冰川作用范围、冰量及平衡线高度（ELA）等关键信息,仍有待进一步研究。结合冰川地貌野外考察、高清遥感影像/卫星照片及绝对数值年龄,对波堆藏布江流域古乡冰期时的冰川作用范围进行了重建,在此基础上结合数字高程模型,运用冰面纵剖面模型对波堆藏布江流域古乡冰期时古冰川进行了数值模拟。结果显示：古乡冰期时流域内冰川的平均厚度约360 m,冰川总面积为2 648 km2,体积约为953 km3,流域内的冰川覆盖率由古乡冰期时的63%缩减至现在的22.4%。此外,运用积累区面积比率（AAR）法和末端-源头高度比率（THAR）法对波堆藏布江流域现代和古乡冰期时的冰川平衡线高度进行了估算。其中,现代冰川ELA为4 455 m,基于反距离加权法插值的古冰面高程计算出古乡冰期时ELA为3 871 m,比现代ELA低了584 m,古冰川ELA估算结果与前人结果基本一致。     

The Loch Lomond Readvance on north Arran,Scotland: glacier reconstruction and palaeoclimatic implications

Geomorphological mapping of northern Arran provides evidence for two advances of locally nourished glaciers, the younger being attributable to the Loch Lomond Stade (LLS) of ca. 12.9–11.5 k yr BP, primarily through the mutually exclusive relationship between glacial limits and Lateglacial periglacial features. The age of the earlier advance is unknown. Inferred LLS glacier cover comprised two small icefields and eight small corrie or valley glaciers and totalled 11.1 km². ELAs reconstructed using area–altitude balance ratio methods range from 268 m to 631 m for individual glaciers, with an area‐weighted mean ELA of 371 m. ELAs of individual glaciers are strongly related to snow‐contributing areas. The area‐weighted mean ELA is consistent with a north–south decline in LLS ELAs along the west coast of Great Britain. This decline has an average latitudinal gradient of 70 m 100 km^?1, equivalent to a mean southwards ablation‐season temperature increase of ca. 0.42°C 100 km^?1. Mean June–August temperatures at the regional climatic ELA, estimated from chironomid assemblages in SE Scotland, lay between 5.7 ± 0.1°C and 4.1 ± 0.2°C. Empirical relationships between temperature and precipitation at modern glacier ELAs indicate equivalent mean annual precipitation at the ELA lay between 2002 ± 490 mm and 2615 ± 449 mm. These figures suggest that stadial precipitation on Arran fell within a range between +8% and ?33% of present mean annual precipitation. Copyright © 2006 John Wiley & Sons, Ltd.     

石羊河流域冰川变化与地形因子的关系探究

以甘肃省石羊河流域为研究区,运用GIS和RS技术结合人工目视解译,提取了1995年、2002年、2009年、2015年、2016年5期遥感影像冰川边界信息。结合DEM数据提取了坡度、朝向、海拔三个地形因子。基于相关性分析与地理探测器的方法,对冰川变化与地形因子进行了相关分析,并研究了冰川变化与地形因子之间的空间关系。结果表明：（1）该地区冰川年均面积变化率由1973-1995年的-1.27%·a^-1变为2015-2016年的-2.87%·a^-1,消融速度加快,面积小于0.1 km²的小冰川消融显著;（2）石羊河流域冰川分布主要的朝向是N、NE、NW,朝向与冰川变化具有一定相关性,南坡退缩较快;（3）坡度与冰川变化呈异向相关,海拔高度控制着冰川的消融速度,低海拔冰川的退缩幅度更大;（4）地形因子对冰川变化空间分异的影响显著不同,海拔是冰川变化空间分异最重要的控制因素,其次是朝向,最后是坡度。     

青藏高原东南巴松措流域和派山谷末次冰盛期冰川与气候重建

末次冰盛期（LGM）时全球大范围降温,青藏高原冰川大规模扩张,重建LGM时期古冰川规模对认识高原冰川水资源演化及古气候条件有重要的科学意义。根据青藏高原东南巴松措流域及派山谷两地的冰川地貌及其¹⁰Be暴露年代数据,本文应用冰川纵剖面模型定量重建了两地冰川在LGM时期的范围、冰储量和平衡线高度（ELA）等参数,并通过冰川气候模型恢复了LGM时的气候条件。结果表明：巴松措流域LGM时期的冰川面积约为982.3 km²,是现代冰川面积的4.5倍,冰储量约为274.4 km³;派山谷无现代冰川分布,LGM时期的冰川面积达5.76 km²,冰储量约为0.51 km³;LGM时期两冰川的平衡线高度分别为4 460~4 547 m和3 569~3 694 m,与现代冰川相比分别降低了535 m和1 034~1 184 m。在降水减少60%的情况下,考虑LGM以来的构造剥蚀对平衡线高度变化的影响,LGM时期巴松措流域和派山谷冰川的夏季平均气温分别比现在低约2.96~4.89 ℃和5.09~6.99 ℃。     

近50年来北极斯瓦尔巴地区冰川物质平衡变化特征

利用长时间序列的冰川物质平衡资料,详细分析了北极斯瓦尔巴地区冰川的物质平衡变化特征以及气候因子对物质平衡的影响。结果表明：近50年来斯瓦尔巴地区冰川物质平衡变化主要呈负平衡、零平衡/略微增长两种状态。冰川净平衡一般为负值,年际变化波动幅度较大且呈负平衡趋势,累积物质平衡表现出长期稳定的负平衡增长态势。除Kongsvegen冰川外,其他冰川不存在短期内的平衡波动。季节变化表现为夏季消融、冬季积累,且夏季消融比冬季积累波动更大,冰川净平衡与夏季消融保持同步变化趋势。冰川净平衡与平衡线高度（ELA）呈负相关（平均相关系数为-0.89）,与积累区面积比率（AAR）呈正相关（平均相关系数为0.84）,该地区大多数冰川AAR减小,说明冰川物质补给处于劣势,冰川物质平衡向负平衡发展。夏季气温升高是斯瓦尔巴地区冰川表面物质加速亏损的直接原因。     

山谷冰川稳定态时积累区面积比率研究

探讨山谷冰川稳定状态时积累区面积比率，即ＡＡＲ值的大小，认为冰川物质平衡高程分布，平面形态及坡面坡度沿程变化形式是影响山谷冰川稳定态ＡＡＲ值的主要因素，并 山谷冰川稳定态ＡＡＲ值与物质平衡高程分布及平面形态之间的定量关系。山谷冰川适合于应用ＡＲ值法来研究古冰川的零平衡线高程。     

尼泊尔冰川1980-2010年的变化特征

利用尼泊尔已发布的冰川编目数据、遥感数据及DEM数字高程模型,利用GIS和Excel对尼泊尔境内冰川的结构特征及1980-2010年的冰川变化特征进行了分析,并运用冰川系统功能模型模拟了同期尼泊尔冰川的变化趋势。结果表明：（1）尼泊尔境内冰川平均规模较小,且冰川分布的海拔差异大。（2）尼泊尔冰川平衡线高度分布受地形影响明显,呈现出反纬向性变化特征,存在若干以高峰为中心的高值区域。（3）1980-2010年尼泊尔冰川整体呈现退缩状态,冰川数量增加了378条,冰川面积和体积均减少,分别减少了24%和29%;小规模冰川或冰川系统退缩更快,1980-1990年冰川变化速率最快。（4）采用历史时期的气温变化率,冰川系统功能模型可以较好地模拟冰川历史时期的变化特征。     

喀喇昆仑山西北部冰川运动速度地形控制特征

为了探讨地形和海拔对冰川季节和年平均运动速度的影响程度,利用2013-2018年GoLive数据与ASTER GDEM V2数据对喀喇昆仑山西北部3 389条冰川的地形（坡度、坡向、海拔）和冰川运动速度进行了综合分析。结果表明：冰川表面运动速度在物质平衡线处（3 970~4 770 m）达到最快,是冰川积极维持物质平衡的一种体现。坡度平缓地区在不同海拔下的冰川运动速度有明显的差别,但是不同坡度地区的冰川运动速度随海拔变化的趋势基本一致,均呈现先增大后减小。北坡冰川运动速度较平稳,南坡和西南坡的冰川运动速度（均为0.25 m·d^-1）最快并且变化幅度较大,最小值与最大值相差近4倍。冰川运动速度不是呈现单一的季节性变化,同时还会受到地形的控制。低海拔区域冰川运动速度在消融期（3-6月）较快,中海拔区域在消融前（11月至次年2月）较快。     

Significance of snowblow in the generation of Loch Lomond Stadial (Younger Dryas) glaciers in the western Pennines,northern England

Geomorphological mapping has identified the former existence of five cirque glaciers that formed during the Loch Lomond Stadial in the western Pennines, northern England. Landforms in Mallerstang, which previously have been interpreted as moraine ridges, are shown to be better explained as large complex landslides. Reconstruction of these former glaciers has allowed the calculation of the former equilibrium line altitudes (ELA) by a number of different methods. Values for the ELA show a range across the area from 311 m to 608 m OD, but with low values (311 m and 428 m) for the two western glaciers. These are explained by the existence of large plateau areas adjacent to the former glaciers, which contributed additional mass to the glaciers by snowblow on to the glacier surfaces. Delimitation of the potential snowblow area for each glacier shows that it has a distinct orientation, with the western sector (225–315°) being statistically significant with the ELA indicating the importance of winds from this direction in determining the existence of these palaeoglaciers. The significance of snowblow for the generation of small glaciers in marginal areas means that such local factors must be investigated before regional firn line trends are determined in former glaciated areas.     

川西螺髻山清水沟倒数第二次冰期以来的冰川规模与古气候重建

川西螺髻山清水沟保存着倒数第二次冰期（MIS 6）、末次冰期早期（MIS 4）和末次冰期晚期（MIS 2）较为完好的冰川沉积序列,该序列为螺髻山地区晚第四纪古环境重建提供了直接依据。基于野外地貌考察和冰川地貌特征确定出古冰川分布范围,计算古冰川物质平衡线高度（ELA）,应用P-T模型和LR模型计算出各冰期时段的气温与降水。结果显示：清水沟MIS 6、MIS 4和MIS 2的冰川面积分别为3.44 km²、2.22 km²和1.20 km²,冰川体积分别为0.19 km³、0.12 km³和0.07 km³。各期次的古ELA分别为3 132 m、3 776 m和3 927 m,相对于现代ELA分别下降了1 716 m、1 071 m和920 m。冰川规模受气温和降水的共同影响,MIS 6气温大幅下降（8~12 ℃）是导致该阶段冰川规模最大的原因;MIS 4降水为现在的80%左右,而气温下降幅度（6~7 ℃）小于倒数第二次冰期,冰川规模小于倒数第二次冰期;MIS 2降水仅为现在的60%~80%,降温幅度（4~8 ℃）也不大,因此该阶段冰川规模最小。     

Nivation landforms in the western Great Basin and their paleoclimatic significance

More than 10,000 nivation landforms occur in the higher mountain ranges of the western Great Basin. They range from small, subtle hollows with head scarps a few meters high and a few tens of meters long to broad, clearly defined terraces as much as 220 m wide bounded by bold, steeply sloping head scarps as much as 30 m high and 1600 m long. Distribution of these nivation hollows is strongly influenced by elevation, slope orientation, local relief, and substrate lithology. About 95% occur between 2200 and 3000 m elevation, and nearly 80% are situated on north-northwest-to east-northeast-facing slopes. They occur mainly in areas of moderately sloping terrain and moderate local relief, and they are preferentially developed on relatively incompetent substrates including terrigenous sedimentary deposits, volcanic and metavolcanic rocks of intermediate composition, and deeply weathered granitoid rocks. Nearly all of these nivation hollows are relict. They are most abundant near areas of late Pleistocene glaciation but rarely occur within such areas. Most are veneered with colluvium and are well vegetated, and many hollows in the Mono Basin area are veneered with volcanic ash at least 700 yr old. Distribution of nivation hollows suggests that (1) the full-glacial nivation threshold altitude (NTA) rose from north to south at 190 m per degree of latitude, subparallel to, and approximately 740 m lower than, the full-glacial equilibrium-line altitude (ELA) and about 1370 m lower than the estimated modern ELA; (2) the difference between the full-glacial and modern ELAs indicates an approximate 7°C full-glacial mean-annual-temperature depression throughout the Great Basin; and (3) the full-glacial mean annual temperature at the NTA is estimated to have been approximately 0° to 1°C, assuming little change in accumulation-season precipitation.     

GIS analysis of cirques on Vestfirðir,northwest Iceland: implications for palaeoclimate

This study presents the first regional analysis of cirques on Vestfirðir, NW Iceland, using a Geographical Information System (GIS). The length, width, elevation of cirque‐floor, latitude and the distance to the modern coastline (both ocean and fjord coastlines) of cirques were quantified using ArcGIS. The topographical analysis revealed a total of 100 cirques on western and northern Vestfirðir. Several additional cirques are present, but they had poorly defined toewalls, making the cirque‐floor difficult to identify. Mean cirque length is 515 m and mean cirque width is 752 m. The modal orientation of the aspect of cirques is northeast, with a strong secondary mode to the northwest. Cirques at low elevations are more abundant close to the ocean, whereas cirques further from the ocean are present at high elevations. Three techniques were used to reconstruct past equilibrium‐line altitudes (ELAs) of cirque glaciers: the cirque‐floor method, the altitude‐ratio method and the accumulation‐area ratio method. The largest range of past ELAs is generated from the cirque‐floor method with values from 40 up to 730 m. Mean past ELA values range from ～395 to 423 m depending on the method used to reconstruct former ELAs. A strong positive relationship is observed between past ELA values and distance to the ocean demonstrating the importance of access to a moisture source for glacier survival. This relationship is stronger than the relationship between former ELAs and latitude. Based on the small size of cirque glaciers, it is likely that even minor fluctuations in the Irminger Current and the East Greenland Current influence cirque glaciation on Vestfirðir.     

Post‐Last Glacial Maximum glacier fluctuations in the southern Écrins massif (westernmost Alps): insights from 10Be cosmic ray exposure dating

Only a few chronological constraints on Lateglacial and Early Holocene glacier variability in the westernmost Alps have hitherto been obtained. In this paper, moraines of two palaeoglaciers in the southern Écrins massif were mapped. The chronology of the stabilization of selected moraines was established through the use of ¹⁰Be cosmic ray exposure (CRE) dating. The equilibrium line altitude (ELA) during moraine deposition was reconstructed assuming an accumulation area ratio (AAR) of 0.67. Ten pre‐Little Ice Age (LIA) ice‐marginal positions of the Rougnoux palaeoglacier were identified and seven of these have been dated. The ¹⁰Be CRE age of a boulder on the lowermost sampled moraine indicates that the landform may have been first formed during a period of stable glaciers at around 16.2±1.7 ka (kiloyears before AD 2017) or that the sampled boulder experienced pre‐exposure to secondary cosmic radiation. The moraine was re‐occupied or, alternatively, shaped somewhat before 12.2±0.6 ka when the ELA was lowered by 230 m relative to the LIA ELA. At least six periods of stable ice margins occurred thereafter when the ELA was 220–160 m lower than during the LIA. The innermost dated moraine stabilized at or before 10.9±0.7 ka. Three ¹⁰Be CRE ages from a moraine of the Prelles palaeoglacier indicate a period of stationary ice margins at or before 10.9±0.6 ka when the ELA was lowered by 160 m with respect to the end of the LIA. The presented ¹⁰Be CRE ages are in good agreement with those of moraines that have been attributed to the Egesen stadial. Assuming unchanged precipitation, summer temperature in the southern Écrins massif at ~12 ka must have been at least 2 °C lower relative to the LIA.     

北半球冰川物质平衡变化的若干特征及其气候意义

根据北半球连续观测的４０多条冰川物质平衡资料，分析了目前冰川物质平衡状态及影响它们的地形因互。冰川物质平衡的变化在区域间存在着一定的联系：斯堪的纳维亚、落基山和天山地 区冰川物质平衡的变化在大多数时间内存在着对应联 系，而与阿尔卑斯山冰川物质平衡的变化具有不同程度的反向波动特征。