THE INFLUENCE OF GLACIER CHANGE ON SEDIMENT YIELD, PEYTO BASIN, ALBERTA, CANADA by Theodore John Mlynowski B.Sc., University o f Northern British Columbia, 2008 THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE IN NATURAL RESOURCES AND ENVIRONMENTAL STUDIES (GEOGRAPHY) UNIVERSITY OF NORTHERN BRITISH COLUMBIA September 2013 © Theodore John Mlynowski, 2013 UMI Number: 1525691 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Di!ss0?t&iori Publishing UMI 1525691 Published by ProQuest LLC 2014. Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code. ProQuest LLC 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 Abstract The relation between sediment yield and glacier fluctuations at timescales less than a century remains uncertain. The primary goal o f this study was to assess the influence o f glacier activity on sediment yield within the Peyto Lake watershed. The research focused on a small alpine watershed in the Rocky Mountains o f Alberta containing Peyto Glacier and the proglacial Peyto Lake. Using photogrammetric methods 1 determined changes in length, area, and volume of Peyto Glacier from a topographic survey map (1917) and 18 sets o f aerial photographs (1947 - 2005). I also collected 18 sediment cores from Peyto Lake that consists o f laminated, silt-clay couplets which can be shown through 137Cs activity to be clastic varves. Varve thickness and sediment properties were combined to produce an annual record (1917 - 2010) o f specific sediment yield (SSY) for the watershed. I then compared the SSY record to dimensional changes o f Peyto Glacier as well as available mass balance records, hydrometric records, and climate records over the study period (1917 - 2010). Over the period 1917 - 2005, Peyto Glacier retreated 2198 ± 18 m, shrank 4.0 ± 0.9 km2, thinned 44 ± 31 m, and lost 581 ± 404 * 106 m3 water equivalent (w.e.). I measured an additional 85 ± 4 x 106 m3 w.e. o f ice loss from thinning ice-cored moraines adjacent to the glacier. Over the period 1917 - 2005 SSY averaged 446 ± 176 Mg km2 yr'1, which is among the highest measured yields in the Canadian Cordillera; however, this value is relatively low for glaciated basins worldwide. The SSY record has a poor relation to short-term dimensional changes of Peyto Glacier, likely due to the complexity o f sediment transfers in proglacial environments. Long-term trends in SSY are hypothesized to arise from increasing (1870 1940) and decreasing (1970 - 2010) glacier contribution to streamflow over the past century. Table of contents Abstract..............................................................................................................................................ii Table o f contents..............................................................................................................................iii List of tables..................................................................................................................................... vi List o f figures.................................................................................................................................. vii List of appendices.............................................................................................................................x Acknowledgements..........................................................................................................................xi 1. Introduction........................................................................................................................... 1 1.1 Research motivation.......................................................................................................1 1.2 Thesis objectives........................................................................................................... 2 1.3 Thesis outline.................................................................................................................3 2. Literature review.................................................................................................................. 4 2.1 Sediment yield................................................................................................................4 2.2 Sediment yield and glaciers..........................................................................................6 2.3 History of Peyto Glacier................................................................................................8 2.4 Sedimentology within the Peyto Lake watershed.....................................................10 3. Study area and methods.....................................................................................................12 3.1 Study area......................................................................................................................12 3.2 Methods for estimation o f glacier dimensions..........................................................15 3.2.1 Data sources and preparation..............................................................................15 3.2.1.1 Interprovincial Boundary Commission Survey m ap................................ 15 3.2.1.2 Aerial photographs...................................................................................... 16 3.2.1.3 Supplemental data (mass balance, discharge, clim ate)............................19 3.2.2 Measuring glacier surface and extents.............................................................. 21 3.2.2.1 Stereo model developm ent......................................................................... 21 3.2.2.2 Data collection from stereo models........................................................... 23 3.2.2.3 Stereo model quality control......................................................................24 3.2.2.4 Glacier change analysis.............................................................................. 26 3.2.2.5 Glacier volume change conversion........................................................... 28 Methods to estimate sediment yield.......................................................................... 30 3.3 3.3.1 Field sampling...................................................................................................... 30 3.3.2 Laboratory analysis............................................................................................. 31 3.3.2.1 Photography..................................................................................................31 3.3.2.2 Bulk-physical properties............................................................................. 32 iii 3.3.3 Core chronology.................................................................................................. 34 3.3.3.1 Cesium-137 analysis................................................................................... 34 3.3.3.2 Master chronology...................................................................................... 34 3.3.4 4. Sediment yield calculations................................................................................ 36 3.3.4.1 Spatial sediment interpolations.................................................................. 36 3.3.4.2 Lake trap efficiency.................................................................................... 37 3.3.4.3 Sediment yield............................................................................................. 37 Results................................................................................................................................. 39 4.1 Glacier dimensions...................................................................................................... 39 4.1.1 Stereo model verification and bias removal......................................................39 4.1.2 Data completeness............................................................................................... 40 4.1.3 Changes to glacier length and area.................................................................... 42 4.1.4 Observed volume change................................................................................... 45 4.1.4.1 Peyto Glacier...............................................................................................45 4.1.2.2 Lateral moraines......................................................................................... 49 Sediment Analyses...................................................................................................... 50 4.2 4.2.1 Description o f sediments.....................................................................................50 4.2.2 Bulk-physical properties.....................................................................................51 4.2.2.1 Horizontal trends..................................................................................... 51 4.2.2.2 Vertical trends.............................................................................................53 4.2.3 Cesium- 137 (137C s )........................................................................................... 54 4.2.4 Varve thickness....................................................................................................55 4.2.5 Sediment yield calculations................................................................................ 58 4.3 Environmental controls on sediment yield................................................................61 5. Discussion........................................................................................................................... 65 Changes to glacier length, area, and volume............................................................ 65 5.1 5.1.1 Length................................................................................................................... 65 5.1.2 A rea...................................................................................................................... 65 5.1.3 Volume.................................................................................. 66 5.2 Sediment yield............................................................................................................. 68 5.3 Influence of glacier change on sediment yield......................................................... 71 5.4 Source o f errors and limitations o f study.................................................................. 76 5.4.1 Digital photogrammetry and measurements.....................................................76 5.4.2 Sediment yield......................................................................................................77 iv 6. Conclusion and suggestions for further study Literature cited.............................................................. Appendices.................................................................... List of tables Table 3.1 Aerial photographs and metadata used in glacier analyses....................................... 18 Table 3.2 Pearson correlation coefficient (r) and significance (p) for checkpoint residuals versus topographic predictors (Elevation, Easting, and Northing). The largest correlations are bolded and the respective topographic biases were removed from the models........................25 Table 3.3 Information used to create stereo models and assess their accuracy and error........28 Table 4.1 Study periods categorized by the percent o f glacier surface measured in the stereo models.............................................................................................................................................. 41 Table 4.2 Mean rate of length and area changes for Peyto Glacier............................................45 Table 4.3 Pearson correlation coefficient (r) for Mistaya River discharge versus net mass balance and standardized varve thickness or SSYspiine. p < 0.05................................................ 64 Table A.l Measured (white), interpolated (light grey) and averaged (dark grey) varve thicknesses (cm) for the period 1917-2010................................................................................ 92 Table A.2 Mean bulk-physical properties for samples cores for the period 1917 - 2010........95 Table B.l Specific Sediment Yield interpolated by Thiessen polygons and regularized spline. .......................................................................................................................................................... 98 Table B.2 Core sample and SSY correlation table. Bolded values are significant (p < 0.05). .......................................................................................................................................................... 99 List of figures Figure 3.1 Peyto Lake watershed with the 2005 glacier extents................................................14 Figure 3.2 (A) Geo-rectified IBCS map #17 using 5th order polynomial transformation model with GCPs (+ symbols). (B) Additional adjustment to map using a thin plate spline (TPS) transformation model with additional GCPs (x symbols). Maps show the transformation of the ridgeline discrepancy before the TPS transformation (red line) and after the TPS transformation (green line).............................................................................................. 16 Figure 3.3 The amount o f glacier surface that could be measured each year based on photographic coverage o f the glacier (solid black bars) and the amount o f glacier surface that was measured (stripped bars).........................................................................................................24 Figure 3.4 Example o f checkpoints measured in the 1991 air photos (A) before bias removal and (B) after bias removal..............................................................................................................25 Figure 3.5 Peyto Lake bathymetry (adapted from Chikita et al., 1996). The locations o f the retrieved sediment core samples are shown. Note: core IO-Peyto(Ol) was taken from the same location as core 10-Peyto(02). The small arrows indicate the primary inflow and outflow of Peyto Creek...................................................................................................................30 Figure 3.6 Example o f wet (top) and partially dry (bottom) laminated sediment. The red and blue lines on the dry sediments are measurements from the UTHSCSA Image Tool software. The water-sediment interface is towards the right...................................................................... 32 Figure 4.1 Box plot showing the absolute elevation difference o f check points after bias removal. Differences are between individual years and the 2005 reference data....................40 Figure 4.2 Changes in ice volume for Peyto Glacier categorized by the completeness of surface points measured................................................................................................................. 42 Figure 4.3 Extents o f Peyto Glacier digitized from aerial photographs and the IBCS map throughout the period 1917 - 2005................................................................................................ 44 Figure 4.4 Comparison of measured volume changes of w.e. (solid black bars) and measured volume changes o f w.e. with seasonal melt adjustments (stripped bars)...................................46 Figure 4.5 Rates o f volume change for Peyto Glacier for periods with the most complete data................................................................................................................................................... 47 Figure 4.6 Peyto Glacier elevation changes for 1917 - 1952, 1952 - 1977, and 1977 - 2005.48 Figure 4.7 Rate o f volume change for Peyto Glacier for periods with the second-most complete data...................................................................................................................................49 Figure 4.8 Elevation change for the ice-cored moraines adjacent to Peyto Glacier from 1947 to 2005..............................................................................................................................................50 Figure 4.9 Spatial distribution of mean bulk-physical properties for Peyto Lake for the period 1917-2010: (A) dry density, (B) wet density, (C) water content, and (D) organic content. Mean values were calculated from the interpolated values between sub-sampled locations down the core for every varve. The small arrows indicate the primary inflow and outflow o f Peyto Creek...................................................................................................................52 Figure 4.10 Bulk-physical properties for core 1l-Peyto(N). Dry density (dark grey line) and organic matter (light grey line) were sub-sampled at 2 cm intervals. Varve thickness was interpolated (red line) near the top and measured (black line) downwards...............................54 Figure 4.11 Activity levels of Cesium-137 (137Cs) in lake sediments retrieved from core 10Peyto(02). Vertical error bars indicate counting errors (± 1 a) in 137Cs activity determination. Sediment samples were taken from the centre o f identified varves and converted to calendar years (AD)........................................................................................................................................55 Figure 4.12 Varve thicknesses measured from all collected cores. Proximal cores (left) were collected up to 316 m from the delta and distal cores (right) were collected up to 2215 m from the delta. Note: measurements from cores F, A, and R, were done between marker beds, so varve thicknesses denote average rates.......................................................................... 56 Figure 4.13 Extended varve record from two cores. Vertical black lines delineate periods 1828 - 1916 and 1917 - 2003. Horizontal red lines show the average varve thickness for those periods.................................................................................................................................... 56 Figure 4.14 Photographs of abnormally thick varves from core 1l-Peyto(O)..........................57 Figure 4.15 Boxplots of measured varve thicknesses for the study period (1917 - 2010). Red line denotes an 8 year running mean. The period 2000-2010 contains less than 14 contributing cores............................................................................................................................58 Figure 4.16 Examples o f how sediment thickness is interpolated across the lake. (A) Peyto Lake bathymetry highlighting various depths where the rate of sedimentation is assumed to be 0 m yr'1. (B) Sediment thickness in 1970 was uniformly distributed within each Thiessen polygon that surrounds a sediment core. (C) Sediment thickness in 1970 using regularized spline interpolation (25 m x 25 m pixels). Sediment values incorporate areal variation in sediment density and organic content........................................................................................... 59 Figure 4.17 Master chronology of varve thickness variation. The y-axis is reported as standardized departures from a mean of zero...............................................................................60 Figure 4.18 Calculated specific sediment yield for the Peyto Lake watershed when sampled sediment thickness was interpolated using Thiessen polygons and spline interpolations. Sedimentation rates were assumed to equal 0 m yr'1 when depths were shallower than 0 m, 10 m, and 20 m ................................................................................................................................ 61 Figure 4.19 Specific sediment yield calculated by using a regularized spline interpolation where sedimentation was assumed to be near 0 m yr'1 at 0 - 20 m o f depth. The grey horizontal line denotes the mean and the black dashed line denotes an 8 year running mean. 61 Figure 5.1 Specific sediment yield as a function o f percent glacier cover for lakes in British Columbia and Alberta (Graph modified from Hodder et al. (2006)). The various symbols represent different tectonic belts....................................................................................................70 Figure 5.2 Specific sediment yield as a function o f drainage area (Graph modified from Church and Slaymaker (1989)). Specific sediment yield for Peyto Lake (star) is shown on the graph...........................................................................................................................................70 Figure 5.3 The relation o f specific sediment yield to basin area. For comparison, the Peyto watershed (star) is plotted among other watersheds with glacier cover (graph modified from H alletetal., 1996)........................................................................................................................... 71 Figure 5.4 Conceptual diagram of the proglacial alpine systems and their linkages to lacustrine sediment (Hodder et al., 2007)..................................................................................... 72 Figure C.l 2005 AT aerial photograph showing the previous measured extents o f the Peyto Lake delta..................................................................................................................................... 100 Figure C.2 The rate o f volume change that Peyto Glacier has undergone for the period 1917 - 2005 is categorized by data completeness o f > 50 %. Glacier changes highlighted in pink are within bounds o f the error term............................................................................................100 Figure C.3 The rate of volume change that Peyto Glacier has undergone for the period 1917 - 2005 is categorized by data completeness o f > 20 %. Glacier changes highlighted in pink are within bounds of the error term............................................................................................. 101 List of appendices Appendix A: Ancillary core information.....................................................................................91 Appendix B: Specific sediment yield results and sediment core correlation........................... 97 Appendix C: Measured delta progradation and ancillary volume change results................100 x Acknowledgements The completion o f this thesis could not have been possible without a number o f caring people who have supported me and believed in me throughout this challenging and rewarding process. I would first like to thank my supervisor, Dr. Brian Menounos, for providing a diverse project and the opportunity to be his student. It is obvious that you are passionate about science, but your dedication was shown with sweat, blood, and tears when you dragged my sediment cores up Heartbreak Hill. I am grateful for your mentorship whenever I needed it, your high expectations, and your encouragement. For the past three years my wife, Caroline Mlynowski, has made great sacrifices so that I could pursue my Masters. I am forever indebt to you for your unquestionable support, encouragement, and devotion. The three field work expeditions at Peyto Lake were the hardest and most rewarding part of my Masters. I am appreciative o f all my field helpers, Caroline, Brian, Rob Vogt, Mary Samolczyk, and Dr. Joel Cubley who endured long, cold days on the ice, before dragging heavy sediment cores back to the truck. I am particularly thankful to Caroline and Rob for their willingness to even get out o f the truck when it was -31 °C. There were many facets of my Masters that required additional help, knowledge, and services. The guidance and help from Teresa Brewis and Christina Tennant saved me many hours of technical difficulties with Vr Mapping software. I also express gratitude to Cardinal Systems, LLC for providing a license and support for their Vr Mapping software. I thank Bill Holmes from the Alberta Air Photo Distribution and Daniel Brown from National Air Photo Library for providing additional air photographs o f Peyto Glacier. I am also grateful to Lyssa Maurer for showing me the required methodology and techniques to play with mud. I appreciate Matt Beedle’s quick and in-depth replies to my questions about glacier mass balance. Finally, I would like to acknowledge the generosity o f Flett Research Ltd. for processing additional sediment samples free o f charge. This project was made possible through funding obtained from the University of Northern British Columbia (UNBC), Geological Society o f America (GSA), and the National Sciences and Engineering Research Council of Canada (NSERC). 1. Introduction 1.1 Research motivation Annually laminated (varved) lake sediments provide a detailed record of environmental change. These lake sediment records are particularly important in many regions o f western Canada where instrumental records are short or absent. In alpine environments, for example, varved lake sediments have been used as proxies for glacier fluctuations (referred hereafter as glacier activity) which have then been used to infer paleoclimatic conditions (Denton and Karlen, 1973; Leonard, 1997). Although past climate conditions have been inferred from lake sediment records, such inferences must be approached with caution. The climate-glacier-lake sediment system is complex and strong connections among climate, glaciers, and lakes are difficult to demonstrate (Jansson et al., 2005; Hodder et al., 2007). Identifying a relation between just two variables such as glacier activity and lake sedimentation is challenging enough (Leonard, 1997; Loso et al., 2004). Such difficulties may arise from glacier records being temporally limited (e.g., Loso et al., 2004) or incomplete (e.g., Leonard, 1997). Previous studies have considered how glacier activity influences sediment production (e.g., Leonard, 1997), but exactly how this relationship changes through time is not clear. At the centennial to millennial timescales, it is hypothesized that glacial erosion is proportional to ice-cover, so long-term changes in glacier extent should be evident in the clastic sediment record (Hallet et al., 1996; Leonard, 1997). At the annual to decadal timescales, the relation o f ice cover and sedimentation has been examined (e.g., Loso et al., 2004). What has yet to be understood, however, is the degree to which glacier fluctuations control sediment fluxes at decadal timescales. 1 The proposed research will specifically investigate the relation between changes in glacier dimensions and sediment yield at the decadal to centennial timescales. Geodetic data for Peyto Glacier will be compared to annually laminated (varved) lake sediments from a downstream proglacial lake. The results of the proposed research will aim to clarify the relation between sediment yield and mountain glaciers. Insight into landscape evolution, flood control, aquatic ecosystem health, and transport of environmental pollutants all require insight into the production, distribution, and delivery o f fine sediments in montane catchments. 1.2 Thesis objectives The goal of this study is to assess the influence of glacier change on sediment yield within the Peyto Lake watershed. The objectives o f this study are to: (1) use photogrammetry and geographic information systems (GIS) to determine the dimensional (length, area, and volume) changes o f Peyto glacier from 1917 to 2005; (2) measure varved sediments and calculate sediment yield for the Peyto Lake watershed for the period 1917-2010; and (3) assess whether sediment yield is fundamental related to the dimensional changes o f Peyto Glacier. I will specifically be able to assess the degree to which long term glacier fluctuations influence proglacial lake sedimentation. To my knowledge, this will be the one of the few studies that directly compares a detailed record o f sediment yield to a long record o f glacier mass balance. 2 1.3 Thesis outline I wrote and organized this thesis in a traditional format. Following this introductory chapter, Chapter 2 reviews literature relevant to sediment yield, the relation o f glaciers and sediment production, Peyto Glacier, and sedimentology within the Peyto Lake watershed. In Chapter 3 , 1 describe the methods used to determine the historical glacier dimensions o f Peyto Glacier and calculate sediment yield from lake sediment core samples. Chapter 4 summarizes the dimensional changes of Peyto Glacier, measured sediment yield and how they covary. In Chapter 5 ,1 discuss the study’s major findings and describe sources of error and uncertainty. Finally, Chapter 6 summarizes the major findings and provides suggestions for future research. 3 2. Literature review 2.1 Sediment yield O f the sediments entrained in a river system, some o f the sediments are deposited within sediment stores and the remaining sediments are transported by the river system as dissolved, suspended, and bed-load fractions. Collectively the suspended and bed-loads fractions are known as sediment yield which is described by Vanoni (2006) as the total sediment outflow from a watershed that can be measured at a cross section o f reference over a specified period o f time (expressed as mass per unit area per unit time). Sediment yields depend on rates of primary erosion, changes in sediment storage, and transportation capacity of the medium (e.g., river or glacier) within the watershed. Some controlling factors on sediment production and sediment storage include local topography, soil properties, climate, vegetation cover, catchment morphology, drainage network characteristics and land use among others (Walling, 1994; Hovius, 1998). The relative importance of each factor varies for each watersheds. For example, Restrepo et al. (2006) found mean annual runoff explained 51% o f the variance in sediment yield for the Magdalena watershed, Columbia. Hovius (1998), however, examined 97 watersheds from around the world and found five environmental variables (specific runoff, drainage area, maximum height, mean annual temperature, and annual temperature range) accounted for 49 % of the variance in 86 of the watersheds. Quantifying the changes in sediment storage through time and space are also difficult to determine. One method uses the sediment delivery ratio (SDR), defined as the proportion o f sediment exported from a watershed relative to the proportion o f upland erosion (Walling, 1983). The SDR varies between 0 and 1 and is influenced by a range of environmental 4 factors that include: the nature, extent and location o f sediment sources; relief and slope characteristics; the drainage pattern and channel conditions; vegetation cover; land use; and soil texture (Walling, 1983). Specific sediment stores in the basin might include the base o f the slope, in swales, on the flood plain, or within the channel (Walling, 1983). A common view suggests that specific sediment yield declines as basin area increases (i.e., SDR decreases) due to increased sediment storage on lower slopes and increased erosion in non vegetated areas at higher elevations (Walling, 1983; Ballantyne, 2002). Contrary to this view, Dedkov and Moszherin (1992) demonstrate that a river system can have an inverse relationship (i.e., SDR increases) when channel erosion is dominant. For example in British Columbia, Church and Slaymaker (1989) found that secondary remobilization of Quaternary sediments increased at all spatial scales up to 3 * 104 km2. Sediment yield can be determined by a variety o f methods depending on the research focus, time limits, and study area. Sediment yield is typically derived from measurements of sediment load within a river; however, this method can be labour intensive, especially for obtaining a dataset that spans a decade or more. Another method to calculate sediment yield is to measure the mass o f sediment deposited on the lake bottom for a given period o f time. Although it is possible to obtain long records of sediment yield through time (Menounos, 2006), the sediment entering and leaving the lake must be accounted for (Foster et al., 1990). For instance, Owens and Slaymaker (1993) studied four lakes in the southern Coast Mountains o f British Columbia and found 55 - 99 % of the sediment accumulation over the last 2350 years originated from four external sources (aquatic production o f (1) organic matter and (2) biogenic silica; (3) lake bank erosion; and (4) atmospheric dust derived from outside the catchments) that do not contribute to denudation rates within the basin. 5 Additional variables such as sediment trap efficiency, re-suspension processes, sediment density changes, and mixing processes o f the lake must also be determined (Foster et al., 1990). Alternatively, sediment yield can be estimated by generalized equations (Slaymaker, 1977). Such equations tend to simplify the watersheds’ characteristics and do not account for variability and stochastic processes (e.g., heavy rainfall). Therefore, Slaymaker (1977) suggested equations that estimate sediment yield should not be used beyond the basin from which the data were derived. Sediment yield models, however, allow the user to specify variables that characterize a specific basin through space and time. The benefits o f using equations and models are that they do not entail data collection in the field (unless for validation); however, the validity and precision of each model can substantially vary for a given watershed. The precision and predictive ability of sediment yield models thus depends on the knowledge of basin’s characteristics and environmental controls. 2.2 Sediment yield and glaciers Generally when glacierized catchments are compared to alpine catchments free o f contemporary ice cover, glacierized catchments usually have a higher sediment yield (Leonard, 1986; Hallet et al., 1996). This view is generally true in glacierized watersheds because effective erosion rates and the mobilization o f sediments are dominated by glaciers. Conversely, Hicks et al. (1990) found that precipitation rates influenced sediment yield to a greater degree than percent glacier cover. The difficulties o f comparing erosion rates for glacial and non-glacial processes are summarized by Harbor and Warburton (1993); they highlight the reasons why erosion rates for glacierized and unglacierized basins are nearly impossible to compare. 6 For glacierized watersheds, sediment yield is commonly related to percent glacier cover. Globally, the relation between sediment yield and glacier cover has been shown to be poor (Hallet et al., 1996; Hodder et al., 2007). There are a variety o f factors that contribute to this scatter including regional climate and environmental differences (e.g., geology, slope, aspect), as well as, localized changes to sediment storage. Mass wasting (e.g., Johnson and Power, 1985) and fluvial erosion in the glacier's forefleld (e.g., Orwin and Smart, 2004), for example, can elevate sediment yields, particularly during heavy rainfall events. Alternatively, sediment yield may depend on the dynamic state of glaciers (i.e., advancing, retreating, and downwasting) rather than percent glacier cover. For the Tyndall Glacier in southeast Alaska, for example, Koppes and Hallett (2006) found a strong, positive correlation between glacier retreat rates and glacial sediment yields. The highest rates o f sedimentation in Hector Lake, Alberta coincided with periods of glacier retreat or rapid glacial advance rather than during times of maximum ice extent (Leonard, 1997). Additionally, the thinning o f a glacier could further influence sediment production without exhibiting significant retreats or advances. Compounded with glacier dynamics, sediment yield may further be affected by the rate at which sediment can be produced and evacuated from the sub-glacial environment (Riihimaki et al., 2005). The rate that sediments can be produced through processes o f plucking, abrasion, and crushing can be variable through time and space in the sub-glacial environment. How sediments are evacuated from beneath the glacier is influenced by sub glacial water flow (Jansson et al., 2005; Bartholomaus et al., 2008). There is a non-linear relationship between the rate at which sediments are evacuated and water availability. Specifically, the increase of water availability to the sub-glacial environment can increase 7 water pressure beneath the glacier which effectively separates the glacier from its bed. Once this separation has occurred, the flushing o f sediments can commence. However, as the conduits enlarge, it takes increasingly larger amounts of water to maintain the same water pressure needed to evacuate sediments. This non-linear relationship is evident at seasonal, inter-seasonal, and sub-daily timescales (Jansson et al., 2005; Riihimaki et al., 2005). 2.3 History of Peyto Glacier Detailed evidence of glacier activity is widespread in the Peyto Lake watershed and as a result, Peyto Glacier is the focus of many research studies (Luckman, 2006). Average aggregation o f the Peyto Creek delta suggests that Peyto Glacier retreated from Peyto Lake about 13,000 calendar years before present (cal yr BP; Smith and Jol, 1997). Peyto Glacier likely continued to retreat until 3000 cal yr BP to an elevation around 2125 m above sea level (asl). In situ wood fragments found in a paleosol beneath till indicates Peyto Glacier overrode a forest 3000 - 2800 l4C yr BP (formally known as the Peyto advance). It is unknown whether the glacier continued to advance until 2500 14C yr BP or whether a second advance occurred shortly thereafter. Two additional advances occurred at 1550 yr ,4C BP and 820 14C yr BP, and Peyto Glacier respectively reached positions at least 1 km and 1.4 km downvalley from the 1990 terminus extent (Luckman et al., 1993). The glacier attained its Holocene maximum downvalley extent during the latter half o f the Little Ice Age (LIA), or about 150 - 300 years ago (Luckman, 2006). Heusser (1956) constrained the timing of the LIA advance to sometime between AD 1711 - 1863 by dating trees growing on trimlines on the lateral moraines on the east side of the valley. Luckman (1996) investigated the area and confirmed the nineteenth century 8 minimum dates for the main moraine crest, but did not find evidence for an earlier trimline described by Heusser (1956). Along the lower western lateral moraine, Luckman (1996) found 11 standing and sheared tree snags along a sharply defined trimline in the forest. His results indicate that Peyto Glacier achieved its maximum Holocene extent between AD 1837 and 1841. Just beyond the LIA limit, Luckman and Osborn (1979) identified a tephra layer from the Mazama volcanic eruption suggesting Peyto Glacier has not been more extensive than its LIA limit since ca. 7700 cal yr. BP. Research on post LIA activity o f Peyto Glacier used dendrochronology and photogrammetry to demarcate the position o f the glacier. Luckman (1996) collected an extensive dendrochronological dataset for the Peyto watershed spanning ca. AD 1700 - 1990. Watson and Luckman (2004) used dendroclimatology to reconstruct the summer, winter and net mass balance record for Peyto glacier for the period AD 1673 - 1994. Generally, reconstructed positive mass balance characterized the period AD 1673 - 1883 (+70 mm water equivalent (w.e.) yr'1) followed by a period dominated by negative mass balance (-317 mm w.e. yr'1). Notably, the periods AD 1695 - 1720, 1810 - 1825, and 1845 - 1880 reflect intervals of pronounced positive mass balance. By using photographs, tree-ring data, and measurements o f ice wastage, Bunger et al. (1967) mapped glacier retreat positions from AD 1897 to 1965. Wallace (1995) estimated the volumetric change for nearly the same period (AD 1896 to 1966) as 108.9 x 107 m3. Holdsworth et al. (2006) calculated the loss o f ice from AD 1966 to 1995 as 139 * 106 m3. Data from by Wallace (1995), Holdsworth et al. (2006), and additional mass balance values in Demuth and Keller (2006) indicate that Peyto Glacier has lost roughly 70% of its volume over the period AD 1896 - 1995. In terms of 9 aerial coverage, Peyto Glacier covered an estimated area o f 17.15 km2 in AD 1897,13.35 km2 in AD 1966, and 11.81 km2 in AD 1993 (Wallace, 1995; Demuth and Keller, 2006). 2.4 Sedimentology within the Peyto Lake watershed Many studies within the watershed have focused on the dynamics o f sediment laden, glacier discharge flowing into Peyto Lake. Vendl (1978) examined controls o f sedimentation in Peyto Lake and found large pulses o f sediment travelled along the bottom topography o f the lake before settling. Approximately 33 times more sediment is deposited in the proximal basin (161 mg cm'2 d '') than in the distal basin (4.9 mg cm'2 d' *) o f the lake. Smith et al. (1982) compared the sedimentation regime o f Peyto Lake to three other glacier-fed lakes within close proximity to each other. O f these four lakes, Peyto Lake receives the highest and most variable inflowing suspended sediment concentrations (SSC; mean: 720 mg f 1, range: 138 - 2156 mg I"1). Binda (1984) investigated the suspended sediment and hydro chemical dynamics o f discharge from Peyto Glacier by measuring discharge, electrical conductivity, temperature, and suspended sediment concentrations from Peyto Creek. From his results, he hypothesized that the re-organization o f sub-glacial channels under changing hydrostatic pressures and sediment availability was a major factor that influenced the output o f suspended sediment from Peyto Glacier. The complex sediment dynamics o f Peyto Lake are further documented by Chikita (1993). He found the sediment laden undercurrent pooled in the proximal basin and would only ‘spill’ over the central sill into the distal basin when SSC exceeded 80 mg F1at 6.5 °C. Chikita (1993) believed that most suspended sediment originates from beneath the glacier because the sediment in and around the Peyto Creek channel is dominated by gravel and sand. 10 Previous work has also considered sediments contained in Peyto Lake. Smith et al. (1982) recovered 26 short, sediment cores from the lake. They found the sediment cores contained horizontal laminations with a wide range o f thicknesses (< 1 mm to > 1 cm). They thought the sediments were varved, but detailed analyses and independent dating were never performed. 11 3. Study area and methods 3.1 Study area The Peyto Lake watershed (48.9 km2; 51°72' N, 116°52' W) is located 45 km north-northwest of Lake Louise in Banff National Park, Alberta, Canada (Figure 3.1). Peyto Glacier flows northeast and is one o f the outlets o f the Wapta Icefield. Peyto Glacier (~ 11.2 km2 in 2005) and five other small cirque glaciers (1.5 km2) cover approximately 26% (12.7 km2) of the watershed. Peyto Glacier lies between 2100 - 3200 m above sea level (asl), has a mean equilibrium line altitude o f 2665 m asl, and a mean accumulation area ratio o f 0.40. Several moraines adjacent to Peyto Glacier are ice-cored and cover an area of roughly 1.2 km2 (Ommanney, 1972). Peyto Lake, the larger of two lakes in the watershed, covers an area o f 1.5 km at an elevation of 1876 m asl and is situated 3 km downvalley from Peyto Glacier. Caldron Lake (0.4 km2) is situated in a cirque 524 m (2400 m asl) above Peyto Lake and does not receive glacier meltwater from Peyto Glacier. Peyto Lake consists of two deeper basins connected by a relatively shallow sill (See Figure 3.5 for Peyto Lake bathymetry). The proximal basin to Peyto Creek has a maximum depth of 43 m, whereas the deepest point in the distal basin is 49 m (Chikita et al., 1996). Peyto Lake receives an annual inflow o f approximately 45.3 x 106 m3; the lake has an approximate capacity o f 40.3 * 106 m3 which equates to a residence time of roughly 11 months (Schuster and Young, 2006). Peyto Creek is dominated by glacier and nival runoff where approximately 82% o f the runoff into Peyto Lake occurs from June to August. The lake is nearly isothermal, varying from 5 °C to 7.5 °C in the summer, but the distal basin may develop weak thermal stratification on warmer days. The isothermal lake conditions, coupled with high SSC o f Peyto Creek cause underflow currents (i.e., 12 hyperpycnal inflow) to dominate (Smith et al., 1982). Sediment-laden underflows account for 61% o f the lake’s sedimentation compared to 32% and 7% for delta progradation and overflows/interflows, respectively (Chikita, 1992). Steep and mountainous alpine terrain (bedrock, talus, thin soils) represents about 53% o f the watershed while forests cover about 17 % o f the catchment. Peyto and Cauldron lakes represent the remaining 4% of the watershed. The underlying geology o f the basin is primarily Precambrian and Cambrian argillite, limestone, and dolomite (Chikita, 1993). 13 r$unwapta Mistaya Lake Louise \ Hydrometric gauge VUx station Water UA extent 50m contour Highway 93 Glacier Ice-cored moraine Forest Dragonback Glacier 0 05 1 i i 1 I I 2 km I I I I Figure 3.1 Peyto Lake watershed with the 2005 glacier extents. 14 3.2 Methods for estimation o f glacier dimensions Length, area, and volumetric changes to Peyto Glacier were measured and calculated from a historical map (1917) and 18 sets o f available air photos (1947 - 2005) using standard photogrammetric methods (McGlone, 2004). 3.2.1 3.2.1.1 Data sources and preparation Interprovincial Boundary Commission Survey map Some of the earliest maps in the Rocky Mountains were produced during the Interprovincial Boundary Commission Survey (IBCS) o f the Alberta-British Columbia border between 1903 and 1924. Surveyors took oblique, teirestrial photographs from mountain ridges and peaks then applied photo-topographic methods to produce topographic maps. Although the main objective of the survey was to define the crest of the Rocky Mountains separating the provinces o f Alberta and British Columbia, the survey concurrently documented early extents o f many glaciers in the Rocky Mountains (Interprovincial Boundary Commission, 1917; Wheeler, 1920). A digital copy of IBCS map #17, which contains Peyto Glacier, was obtained from Library and Archives Canada (LAC). Map #17 was surveyed in 1917 and has a scale o f 1:62,500 with a 100 ft (30.48 m) contour interval. Thirty-three mountain peaks and ridges on map #17 were used as ground control points (GCPs) and referenced to previously orthorectified Landsat Thematic Mapper (TM) imagery, and a shaded relief model derived from BC Terrain Resource Information Management (TRIM) digital elevation model (Tennant and Menounos, 2013). The IBCS map was geo-rectified with PCI Geomatica OrthoEngine v. 10.3 using the polynomial transformation model. The total root mean square error (RMSE) for the Easting (.x) and Northing (y) coordinates is ± 15.18m. The geo 15 rectified IBCS map had a significant ridgeline discrepancy that did not align with the actual terrain resulting in erroneous glacier morphology (Figure 3.2). To fix the terrain discrepancy, an additional 21 GCPs were collected and used in a thin plate spline (TPS) transformation model. The TPS transformation model linearly stretched the terrain between the GCPs yielding no RMSE values. L?Sa6kc 0‘ % t> 0 - X Figure 3.2 (A) Geo-rectified IBCS map #17 using 5th order polynomial transformation model with GCPs (+ symbols). (B) Additional adjustment to map using a thin plate spline (TPS) transformation model with additional GCPs (* symbols). Maps show the transformation o f the ridgeline discrepancy before the TPS transformation (red line) and after the TPS transformation (green line). 3.2.1.2 Aerial photographs For this study there are 18 sets of air photographs available from 1947 to 2005. Sequential air photographs were acquired I -11 years apart; however, they were also acquired at 16 different times during the melt season which varied from 2 to 61 days apart. Aerial photographs used in this study were scanned to a digital format at various resolutions from the Canadian National Air Photo Library (NAPL; 1 2 - 1 4 pm), GeoBC within the British Columbia government (10 -1 6 pm), and the Air Photo Distribution within the Alberta government (20 pm; Table 3.1). The scale o f the air photographs ranged from 1:15,000 1:90,000. The 2001 and 2005 air photos exist as aerial triangulation (AT) scans rather than ‘regular’ air photos scans (1947 - 1997). The small area covered by Peyto Glacier enabled the entire region to be captured in stereo in as few as two photographs for some years, but as many as 13 for large-scale photographs. Depending on the year, only a portion o f the accumulation zone was captured in the photographs, but the terminus was captured for all years (Table 3.1). Poor contrast exists in many o f the photographs, particularly in the uppermost elevations, which affected my ability to make surface elevation models. Only the 1952, 1977, and 2005 air photographs had excellent contrast in the accumulation zone and 100 % photographic coverage o f the glacier. 17 TatteTWVeriayjhotograghs^^ Days before Acquisition Year last day of date melt 2005* 3-Aug-05 52 2001* 14-Sep-01 20 1997 5-Aug-97 50 1993 18-Sep-93 6 4-Sep-91 1991 20 1986 15-Aug-86 40 1982 30-Jul-12 56 1977 1-Aug-77 54 1973 24-Jul-73 62 1971 23-Sep-71 1 1967 25-Jul-67 61 1966 20-Aug-66 35 1955 24-Sep-55 0 1952 31-Jul-52 55 1951 6-Sep-51 18 1950 5-Aug-50 50 1949 31-Aug-49 24 1947 22-Sep-47 2 TSL (m asl) 2600 - 2540 - 2625 2490 2475 2500 2450 - 2625 2530 - 2525 2550 2470 2625 2640 Government Source Flight line No. of photos Scale BC BC BC Federal Federal BC BC Federal Federal Federal Federal Federal Federal Alberta Federal Federal Federal Federal 15BCC05017 15BCB01035 30BCB97052 A27991 A27790 15BC86085 15BC82021 A24776 A23408 A22443 A20145 A19434 A15085 AS0162 A13321 A12816 A12313 A11120 8 3 13 6 2 2 2 5 7 2 9 6 3 5 5 12 5 2 1 30,000 1 35,000 1 15,000 1 50,000 1 50,000 1 60,000 1 60,000 1 70,000 1 40,000 1 90,000 1 30,000 1 40,000 1 35,000 1 40,000 1 35,000 1 35,000 1 40,000 1 40,000 ♦Aerial triangulations scans ¥ The last air photo was acquired September 24th and approximates the last day o f melt. TSL = Transient Snow Line Glacier cover in photos (%) 100 94 99 100 100 100 87 100 97 100 72 99.5 49 100 100 98 92 56 Contrast in accumulation area excellent fair poor poor fair fair - good fair - good excellent poor good excellent fair poor excellent poor fair excellent good 3.2.1.3 Supplemental data (mass balance, discharge, climate) Glacier mass balance refers to the difference between winter accumulation (snowfall) and summer ablation (melting) integrated over the glacier area for a balance year, usually expressed as an average depth in water equivalent (mm w.e.; Cogley et al., 2011). In 1965 the Canadian government selected Peyto Glacier as a representative glacier basin to be monitored in the Rocky Mountains (Ommanney, 2002). The annual mass balance record for Peyto Glacier is the longest and most complete in western Canada (1965 - 1990 and 1993 2010; Demuth and Keller, 2006). Unfortunately, both winter and summer mass balances were only measured for the periods 1966 - 1990 and 1993 - 1995. The standard error for the mass balance measurements were estimated by Demuth and Keller (2006) as 150 - 200 mm w.e. In addition to glacier mass balance records, equilibrium line altitude (ELA) and accumulation area ratio (AAR) measurements were provided. ELA is the elevation at which snow accumulation equals snow ablation at the end o f summer; it is approximated by the transient snow line (Cogley et al., 2011). AAR is the ratio o f the area of the accumulation zone to the area o f the glacier, usually expressed as a percentage (Cogley et al., 2011). Net, winter, and summer mass balances, ELA, and AAR records were obtained from World Glacier Monitoring Service ('http://www.wgms.ch/index.htmn. Young (1981), and Demuth et al. (2009). Hydrometric records for the Peyto Lake watershed are limited. Environment Canada had a seasonal hydrometric gauge (Gauge ID: 05DA008) on Peyto Creek from 1967 to 1977, but these data are neither complete nor long enough to compare to annual sediment yield. Instead, I used records from nearby hydrometric gauges on the Mistaya River (Gauged ID: 05DA007) and the Sunwapta River (Gauged ID: 07AA007). Peyto Creek is a tributary o f the 19 2 Mistaya River which covers an area o f 248 km . The Mistaya and Sunwapta stations are approximately 53 km apart and more than 23 km from Peyto Glacier (See Figure 3.1). The Mistaya gauge has seasonal and continuous hydrometric data for the periods 1950 - 1966 and 1967 - 2013, respectively. I created one contiguous record for the entire period (1950 - 2013) by only using daily data between May and October. The Sunwapta River is an outlet of the Columbia Icefields and is in the neighbouring basin north o f Mistaya River watershed. The Sunwapta gauge has seasonal hydrometric data for 1949 - 1996 and 2005 - 2011. I used to use the Sunwapta gauge to determine whether changes to the Mistaya River streamflow occur at regional and/or local scales. Representative climate records for the Peyto watershed are either temporally limited or located too far away to be representative o f the watershed’s climate. The short, unpublished climate record (1967 - 1977) near Peyto Glacier did not have as strong o f a relation to the mass balance record as the climate recorded at other stations in the Canadian Rocky Mountains (Letreguilly, 1988). Munro (2006) suggests the climate station was too close to Peyto Glacier where local cooling from snow and ice reduced the variance in temperature and relation to mass balance. The Improved Processes and Parameterization for Prediction in Cold Regions (IP3) research network erected a climate station near Peyto Glacier from 2002 to 2007, but the climate record is not o f sufficient length for a long-term comparison; however, I use these data in a temperature index model to estimate ice melt for years of aerial photography acquired early in the melt season (see section 3.2.3.6). Although Lake Louise has the nearest climate station to Peyto Glacier, the meteorological tower was moved numerous times and the data were deemed unreliable (Letreguilly, 1988). Even though Jasper and Banff have more distant climate stations, their climate records have good 20 correlations with the mass balance records o f Peyto Glacier (e.g., Letreguilly, 1988; Watson and Luckman, 2004; Munro, 2006). I use the homogenized surface air temperature data (Vincent et al., 2012) and adjusted precipitation data (Mekis and Vicent, 2011) from Banff and Jasper climate stations. Selected monthly climate averages from Banff and Jasper, unlike data from ClimateWNA (Wang et al., 2012), have the strongest relation to the mass balance record. 3.2.2 Measuring glacier surface and extents In the next four sections, I describe how I created stereo models from 18 years o f aerial photographs, digitized glacier extents and surfaces, conducted quality control, and calculated changes to glacier length, area and volume. 3.2.2.1 Stereo model development I digitized extents and surfaces of Peyto Glacier using the Vr Mapping Software suite courtesy of Cardinal Systems, LLC. I specifically used the Vr AirTrig, Vr Two Orientation, and the Vr Two software for the specific steps mentioned below. A slightly different approach was undertaken depending whether the digital air photographs were ‘regular’ or aerial trangulation (AT) scans. AT scans include aero-triangulation data, also known as the exterior orientation file, which allows the user to create a three-dimensional (3-D) surface. Regular air photographs, on the other hand, do not have aero-triangulation data associated with their collection. I followed a series of steps to create stereo models from the 2005 AT scans. In Vr AirTrig, the photometry was provided by government issued camera calibration reports, then 21 the photograph fiducial marks were identified on the AT scans. Neighbouring photographs were linked to each other with six common ‘tie points’ and adjacent flight lines were linked with three common ‘pass points’. The aforementioned process is referred to as Inner Orientation. In Vr Two Orientation, the exterior orientation file (i.e., aero-triangulation data) was used to create 3-D stereo models o f the 2005 AT scans. Once the quality o f the 2005 stereo models was assured, 31 GCPs were measured on sparsely vegetated, stable surfaces surrounding Peyto Glacier. GCPs were on stable bedrock features, free of snow/ice, vegetation and loose debris, that are not expected to change from year to year (Kaab and Vollmer, 2000; Schiefer and Gilbert, 2007). Locations o f GCPs were evenly distributed, in terms of elevation and plane, on the terrain surrounding Peyto Glacier. The known 3-D coordinates (i.e., Easting, Northing, and elevation) o f the GCPs were then used as reference points in the creation of stereo models for regular air photos. Like the 2005 AT scans, each year o f regular aerial photographs were imported into Vr AirTrig for Interior Orientation. The same GCPs collected from the 2005 AT scans were identified in the regular air photos and given the same coordinate (i.e., Easting, Northing, and elevation). The collected GCPs were used to create an exterior orientation file and determine the root means square error (RMSE) in the tie points, pass points, and GCPs. The lowest RMSE value was always desired, but a RMSE < 1 m was considered suitable for this study. With the newly created exterior orientation files, stereo models were built in Vr Two Orientation. Once stereo models were created from sets o f AT scans and regular air photographs, I used Vr Two to digitize and measure the extent and surface o f Peyto Glacier for the 18 sets o f aerial photographs. 22 3.2.2.2 Data collection from stereo models From the developed stereo models, 1 digitized and measured 3-D coordinates o f the glacier’s surfaces and extents using Vr Two software. Unfortunately, measurements were hindered by environmental variables. Late-lying snow in the accumulation zone, for example, obscured the identification o f bare earth or ice. Visibility o f the glacier, along the eastern edge o f Peyto’s terminus, was frequently obscured by shadows and steep terrain. The western region in the accumulation zone and a medial moraine were also frequently obscured by debris cover. These problematic features were compared in subsequent years to ensure continuity and consistency in measurements. The extents of the ice-cored moraines were not easily identified, so I delineated their extents by the observed deflation through subsequent years. Glacier and moraine surfaces were digitized by measuring elevation points (mass points) on a 100 x 100 m grid yielding roughly 1,400 possible points for a given year of photography. I measured mass points within the 1917 IBCS glacier boundary for each year. For all years, mass points were collected on the terminus; however, fresh snow, poor photographic contrast, or missing glacier coverage in the air photos prevented mass points to be collected in the accumulation zone (Figure 3.3; VanLooy and Forster, 2011). If a mass point could not be digitized and measured with confidence, its elevation was estimated by two different methods. First, if a missing mass point for a given year occurred between two adjacent years with measured mass point data, the missing elevation values would be interpolated (based on time) by the difference between the adjacent years. By using this approach, I was able to constrain a likely elevation from known data which is not possible with the second method. Many points were infilled by this sandwiching method, but if they 23 were not, the second method was employed. For this second method, instead o f estimating the elevation o f an unknown mass point, the average elevation change between two sequential years would be estimated from surrounding known mass points for a designated elevation band. Average elevation changes of mass points on Peyto Glacier were calculated by 100 m elevation bands (e.g., 3100 - 3200 m asl). 100 -r c a> 90 -- ^ 80 • s | 70 3> m S? 8 60 - - f § 8J 50 o 1 3 40 30 ?'9 o o> 20 Q_ 10 0 i II ■ ■ If m ■ ■ ■ ■I ii ■ II i ii I■ ■! ■ ■ I■- i i if ■ ■■ I I ■ I ■I ■! ii ii ■I n I I ■ II ■ ■! i ii ■lip Mill ■ii i i i l l ■Ii ii Ii ii IIII ii i ■ill ■iii iii iiif ■! I I ■ii J 1 ii 1 1 1917 1947 1949 1950 1951 1952 1955 1966 1967 1971 1973 1977 1982 1986 1991 1993 1997 2001 2005 Y e ar (AD) ■ Photographic coverage of glacier a G lacier surface m easured Figure 3.3 The amount o f glacier surface that could be measured each year based on photographic coverage o f the glacier (solid black bars) and the amount o f glacier surface that was measured (stripped bars). 3.2.2.3 Stereo model quality control I assessed the precision o f stereo models by comparing stable surfaces o f a given year to the 2005 stereo models (i.e., reference year). I measured a series of points (checkpoints) for a year, then I compared these to the same checkpoints measured from the 2005 photographs. The elevation difference between checkpoints indicates a topographic bias between the two stereo models. Checkpoints were measured on a 5 x 5 grid and spaced 10 m apart which I collectively refer to as a ‘checkpatch’. Similar to GCPs, checkpatches were located on stable bedrock features free of snow/ice, vegetation and loose debris. Ten checkpatches were measured at a range o f elevations distributed around Peyto Glacier. The Wapta Icefield and 24 steep terrain surrounding Peyto Glacier limited the location and number o f checkpatches measured. Depending on photography coverage for that year, 5 - 1 0 checkpatches were used. I assessed spatial bias in the stereo models by plotting checkpoint residuals against their respective Easting, Northing, and elevation coordinates (Figure 3.4). The linear model with the highest, significant correlation indicated the strongest bias present in the stereo model (Table 3.2). I used the linear model coefficient to remove the bias (Figure 3.4) from the stereo models o f each year (Tennant and Menounos, 2013). Only one bias was removed from the models as a method to prevent over-manipulation o f the measured data. A u B o 1 1m o 2000 2200 2400 Etovatton (m) 2600 2800 3000 Elevation (m) Figure 3.4 Example o f checkpoints measured in the 1991 air photos (A) before bias removal and (B) after bias removal. Table 3.2 Pearson correlation coefficient (r) and significance (p) for checkpoint residuals versus topographic predictors (Elevation, Easting, and Northing). The largest correlations are bolded and the respective topographic biases were removed from the models. 25 Year Elevation (r) 2001 1997 1993 1991 1986 1982 1977 1973 1971 1967 1966 1955 1952 1951 1950 1949 1947 1917 3.2.2.4
5 grams dry weight were taken with a 14 mm diameter syringe and freeze-dried for 24
hours before being sent to Flett Research Ltd., Winnipeg, Canada, for 137Cs activity
measurements by gamma spectrometry using 19% and 25% efficient HPGe detectors.
3.3.3.2
Master chronology
I produced a master varve chronology by merging individual varve records obtained from the
sediment cores. A varve chronology enables incorrectly identified varves and missing
sediment layers in cores to be identified (Lamoureux, 2001). A complete chronology is
needed for all cores for an accurate sediment yield to be calculated. From the 137Cs
radionuclide dating results described in section 4.2.3,1 was able to create a chronology for
34
core 10-Peyto(02) and convert it to calendar years (AD). I produced a varve chronology for
the remaining cores by matching unique sediment layers (marker beds) among cores.
Although the high sedimentation rate o f Peyto Lake resulted in large varves that could easily
be linked among multiple cores, there were only three key marker beds identified among all
cores: two light coloured beds deposited in 1834 and 1846; and an unusually thick layer
deposited in 1983. In July o f 1983, a rainfall-triggered flood destroyed the hydrometric
monitoring station on Peyto Creek (Schuster and Young, 2006). Although, small flood and
mudflows had previously been observed, nothing approached the magnitude o f the 1983
event described by Johnson and Power (1985). According to their study, large amounts of
precipitation eroded an ice-cored moraine and the subsequent gravel (6000 m3) was deposited
down valley.
Once varve chronologies were created for all cores, I created a master chronology
following the methods in Desloges (1994) which standardizes varve thickness:
V -V
VSI = -J
,
0"v
(3.7)
where VS, is the standardized thickness for year i, V is the measured varve thickness, V is
the mean varve thickness for the core, and a v is the standard deviation. The standardized
values for each core were averaged for that year which resulted in a master chronology of
varve thickness variation. This chronology, in particular, is important for highlighting a
common signal among cores and identifying rates when varve thicknesses were above or
below average.
35
3.3.4
Sediment yield calculations
3.3.4.1
Spatial sediment interpolations
In most cores, the sediment laminations near the water-sediment interface were disturbed,
unidentifiable, or missing. The unknown sediment thickness for a single core was estimated
by a ratio determined by a neighbouring core with the highest correlation o f varve thickness
variation. For instance, if core X has 75 % o f the sedimentation as core Z and they have a
significant correlation with each other, the missing sediment thickness for core X is equal to
75% of core Z for the same region.
For Peyto Lake, annual variation in sediment thickness could not be explained by
environmental variables (e.g., distance to the delta and lake depth) like that found by Schiefer
(2004) for Green Lake, BC. Instead o f using a multiple linear regression to interpolate
sediment thickness, I used two methods o f interpolation: Thiessen polygons and regularized
spline. These two methods o f interpolation provide a range of possible sediment yield values
that cannot be independently confirmed by a simple technique. The first method uses
Thiessen polygons as representative areas around each core sample (e.g., Figure 4.16; Evans
1997). This method assumes that sedimentation occurs at all lake depths equally within each
polygon. In reality, however, a lake environment dominated by underflow and influenced by
environmental variables, such as lake depth and wind, limits sedimentation above a certain
depth (Smith and Ashley, 1985). Therefore, I also conducted a first-order sensitivity analysis
to estimate the limits o f where sedimentation could have occurred in Peyto Lake when lake
depths were deeper than 0 m, 10 m, and 20 m (covering 100 %, 86 %, and 73 % o f the lake
area, respectively). The second method o f interpolation uses a regularized spline which
estimates values using a mathematical function to minimize overall surface curvature (e.g.,
36
Figure 4.16). Even though the regularized spline method does not encompass bathymetry, it
produces a smoothed surface that is similar to the expected sedimentation pattern. For both
methods, the interpolated surface passes exactly through the sample points.
3.3.4.2
Lake trap efficiency
Verstraeten and Poesen (2000) reviewed methodologies to estimate the percent o f sediment
remaining in a lake after flowing into it, also known as the lake’s trap efficiency (TE). They
provide a modification of the Brune (1953) TE curve that has a focus on lakes dominated by
different sediment textures. Specific to fine-grained sediments (silt and clay), TE is defined
as:
(3.8)
(formula originally cited in Harbor et al., 1997)
where C is volumetric capacity of the lake and I is the annual inflow to the lake.
3.3.4.3
Sediment yield
Calculation of sediment yield (SY) from multiple cores follows a similar equation to that
used by Evans (1997):
(3.9)
where Zx is sediment thickness (measured or interpolated) o f a unit in core /; A x is the
representative area (Thiessen polygon or raster pixel); Dx is the mean dry weight/wet
volume; L\ is the mean percentage LOI value; and TE is the estimated trap efficiency of the
lake (see section 3.3.4.2.).
37
Mean diatom and authigenie carbonate concentrations are two additional variables
that can affect SY values, but they are not easily measured. The diatom concentration in
Peyto Lake was not measured; however, the concentration is expected to be negligible as
shown in nearby lakes (Hickman and Reasoner, 1998; Hobbs et al., 2011). For watersheds
dominated by carbonate bedrock, like Peyto basin, authigenie carbonate content determined
by LOI methods is not possible (Evans, 1997).
To compare sediment yield among different sized watersheds, sediment yield is
divided by watershed area which is then defined as specific sediment yield (SSY):
SSY = ------)
Watershed area (km )
(3.11
38
4.
Results
The results are categorized into three sections regarding glacier dimensions, sediment
analyses, and environmental controls on sediment yield.
4.1
Glacier dimensions
In the following three sections, I assessed the quality of the stereo models and determined
environmental biases (i.e., Easting, Northing, or elevation); I quantified data availability by
photographic coverage and measurable glacier surface; and I determined changes to glacier
length, area and volume.
4.1.1
Stereo model verification and bias removal
Identified biases from the photographic based stereo models and 1917 IBCS map were
quantified and removed. The mean horizontal (xy) and vertical (z) RMSE calculated for the
18 years of aerial photography were respectively 0.49 m and 0.18 m (Table 3.3). Mean
checkpatch elevation difference before bias removal was 2.67 ± 2.95 m. There were
significant linear biases in all stereo models. Elevation biases were present in majority o f
models, but Easting biases were present in 1949, 1951,1973,1977, 1986, and 2001;
Northing biases were present in 1967 and 1971 (Table 3.3). The linear model coefficients
(Table 3.2) were used to adjust the stereo models, and following adjustment the mean
checkpatch elevation difference became -0.00 ± 2.28 m. The newer aerial photographs (1966
- 2001) were the most accurate as the elevation differences for the checkpatches were
roughly ± 5 m. In comparison, older aerial photographs (i.e., 1947 - 1955) produced less
39
accurate corrected models where the elevation difference for the checkpatches often
exceeded ± 5 m (Figure 4.1).
The mean horizontal RMSEjty for the 1917 IBCS map was 15.8 m. There were no
vertical adjustments to the planar map. The mean checkpatch elevation difference before
bias removal was 29.01 ± 37.67 m. The Northing coordinate was the only significant bias
that was present in the IBCS map. After bias removal, the mean checkpatch elevation
difference was 0 .0 1 ± 35.03 m (Q25 = -29.81 m, Q50 = -7.44 m, Q75 = 12.25 m).
t -------- 1------------1----------1---------- 1---------- 1---------- 1---------- 1--------- 1-----------1---------- 1---------- 1---------- 1---------- 1---------- 1---------- 1---------- r
1947
1949
1950 1951
1952
1955
1966
1967 1971
1973
1977
1982
1986
1991
1993
1997 2001
C alendar Year
Figure 4.1 Box plot showing the absolute elevation difference o f check points after bias removal. Differences
are between individual years and the 2005 reference data.
4.1.2
D ata completeness
The amount of glacier surface from which elevation could be extracted varied due to
photographic coverage, poor contrast in the accumulation zone, cloud cover or a combination
o f these factors (Figure 3.3). Unknown surface elevations were estimated; however, the
accuracy of infilled values was not independently confirmed. The quality o f the stereo
40
models was independently assessed by checkpatches (see section 4.1.1.), but the assessment
did not consider the percent o f the glacier’s surface that was available to be measured. Here,
the calculated changes to glacier volume are categorized by ‘completeness’ that reflect the
amount of glacier surface measured and my confidence in the quality of the data. Defined
periods were specified by years containing: > 99 % o f the surface measured; > 70 % o f the
surface measured; > 50 % of the surface measured; and > 20 % of the surface measured
(Table 4.3). The measured glacier surface from the 1947 stereo models resulted in erroneous
results, so they are omitted from the remaining results.
>99%
1977-2005
1952-1977
1917-1952
-
> 70 %
2001-2005
1993-2001
1991-1993
1986-1991
1977-1986
1967-1977
1966-1967
1952-1966
1950-1952
1949-1950
1917-1949
-
-
-
-
-
-
>50%
2001-2005
1997-2001
1993-1997
1991-1993
1986-1991
1982-1986
1977-1982
1971-1977
1967-1971
1966-1967
1952-1966
1950-1952
1949-1950
1917-1949
-
-
-
-
-
-
-
-
-
>20%
2001-2005
1997-2001
1993-1997
1991-1993
1986-1991
1982-1986
1977-1982
1973-1977
1971-1973
1971-1967
1967-1966
1955-1966
1955-1952
1952-1951
1950-1951
1949-1950
1917-1949
Categorizing the data by ‘completeness’ does two things simultaneously: it breaks the
data into smaller periods and smaller volume changes. For instance, the average periods are
29.3, 8.0, 6.3, and 5.2 years for each category (> 99, > 70, > 50, and > 20 %, respectively).
As the completeness o f the data decreases (i.e., > 99 to >20 %), trends in the data emerge
(Figure 4.2). That is, as the completeness o f the data decreases, the total volume change o f
41
glacial ice and total ice (glacier and ice-cored moraines) increases respectively by 9 % and 5
%. The volume change o f the lateral ice-cored moraines, in contrast, decreases by 22 % as
the completeness decreases. The most complete data have fewer values (n=3) available to
compare to sediment yield which is not ideal for finding a correlation. The least complete
data have more values (n=l 7) to compare to sediment yield, but limits the utility of these data
to compare to the sediment yield record.
> 99 %
_
Completeness
> 70 %
> 50 %
> 20 %
0
■ Dirty Ice
a Clean be
5 -100
”e
x -200
‘t o
^
-300
a>
j=
(0 -400
<■> -500
a>
i
o
-600
> -700
-800
Figure 4.2 Changes in ice volume for Peyto Glacier categorized by the completeness o f surface points
measured.
4.1.3
Changes to glacier length and area
For the period 1917 - 2005, Peyto Glacier experienced a net retreat (Figure 4.3). During this
period, Peyto Glacier retreated a total distance o f -2198 ± 18 m along its flow line which
yields an average recession rate of -25 ± 0 m yr'1 (Table 4.1). Periods with an above average
retreat rate include: 1947 - 1949,1950 - 1951, 1955 - 1966, 1967- 1971, and 1973 - 1982.
In 1917, the area covered by Peyto Glacier was 15.2 ± 0.5 km2. By 2005, the glacier
shrank to -11.2 ± 0.02 km2 which corresponds to a retreat rate o f -0.046 ± 0.005 km2 yr'1.
Peyto Glacier grew during the periods: 1949 - 1950, 1951 - 1952, and 1971 - 1973 (Table
42
4.1). These periods of positive growth are likely spurious and attributed to: (1) patches of
snow along the perimeter of the glacier that were measured in the more recent set of aerial
photographs, but not in the older set; and (2) differences in the time o f year when the aerial
photographs were acquired (Table 3.1). Generally, the majority o f glacier ice melted in
regions below the ELA; however, glacier ice was also observed to have melted in peripheral
areas of the accumulation zone and in a central location where a rock island began to emerge
(ca. 1966). Periods with the largest change in glacier coverage include: 1947 - 1949,1950 1951, 1966 - 1971, 1973 - 1977, and 1997 - 2001.
43
Ice-cored moraine
50rn contour \
LIAextent
Figure 4.3 Extents o f Peyto Glacier digitized from aerial photographs and the IBCS map throughout the period
1917-2005.
44
2001 -2005
1997-2001
1993- 1997
1991 - 1993
1986- 1991
1982- 1986
1977- 1982
1973 - 1977
1971 - 1973
1967- 1971
1966- 1967
1955 - 1966
1952- 1955
1951 - 1952
1950- 1951
1949- 1950
1947- 1949
1917-1947
-21.5
-18.9
-15.2
-21.4
-14.3
-18.5
-31.8
-28.5
-18.1
-41.7
-16.5
-42.3
-7.5
-10.3
-119.5
-10.0
-26.0
-20.5
1917-2005
4.1.4
4.1.4.1
±
±
±
±
±
±
±
0.2
0.2
0.2
0.4
0.2
0.3
0.2
0.2
0.4
0.2
0.8
0.1
0.4
1.4
1.5
1.5
0.5
0.6
-3.83
-12.50
-2.15
-6.52
-6.12
-4.19
-4.80
-7.84
10.65
-7.05
-12.85
-4.33
-3.18
8.66
-11.55
15.71
-13.71
-3.98
-25.0 ±
0.2
-4.55
±
±
±
±
±
±
±
±
±
±
±
X
A Length (m yr'1)
S»
Period
>
Table 4.2 Mean rate^oftengthjm djire^
10
±
±
±
±
±
±
yr’1)
0.72
0.64
0.70
1.23
0.58
0.88
0.68
0.71
1.49
0.89
3.07
0.26
1.41
4.76
5.52
5.36
1.66
1.60
±
0.55
±
db
±
±
±
±
±
±
±
±
±
Observed volume change
Peyto Glacier
Changes to glacier volume were measured and converted to water equivalent (w.e.). I then
applied the temperature index model to adjust the volumetric changes of Peyto Glacier
attributed to when aerial photographs were acquired (Figure 4.4). The importance of
applying a temperature index model to volume change was particularly important for the
periods 1949 - 1950, 1966 - 1967, and 1971 - 1973. For these periods, the volume changes
for Peyto Glacier were positive before the temperature index model was applied, but became
negative after applying the temperature index model.
45
120
_
110
■ M easured Volume C hange
100
B M easured Volume C hange with seaso n al adjustm ents
1
70
&
60
; so
|> 40
I
30
-30
I
-40
-50
Period (year AD)
Figure 4.4 Comparison o f measured volume changes o f w.e. (solid black bars) and measured volume changes o f
w.e. with seasonal melt adjustments (stripped bars).
Changes to glacier volume were categorized by data completeness ranging from most
complete to least complete: > 99 %, > 70 %, > 50 %, and > 20 %. The error terms for the
least complete data (> 20 % and > 50%) generally made interpretation inconclusive
(Appendix C), so the remaining results focus on the most complete data sets (>70% and
>99%).
The most complete data show that Peyto Glacier and the ice-cored moraines lost -666
± 406 x 106 m3 w.e. over the past 88 years (Figure 4.5). Eighty seven percent o f this volume
change (-581 ± 404 x 106 m3 w.e.) originated from the clean ice o f Peyto Glacier. If I divide
the latter volume by the average area o f the glacier (13.2 km2), the glacier thinned a total of
-44.0 ± 30.6 m w.e. which corresponds to a rate o f -0.50 ± 0.35 m w.e. yr'1. The large error
term arises from the low accuracy o f the 1917 IBCS map. For the period 1917 - 1952, errors
in the 1917 IBCS map is evident when compared to the periods 1952 - 1977 and 1977 - 2005
(Figure 4.6). The eastern portion of the ablation zone, for example, gained volume and
46
regions in the accumulation zone lost unlikely amounts o f volume. The highest rate of
volume loss for the glacier (-10.9 ±2.1 * 106 m3 w.e. yr'1) occurred during the period 1952 1977.
1917-2005
1952-1977
1917-1952
1977-2005
Period
Figure 4.5 Rates o f volume change for Peyto Glacier for periods with the most complete data.
The > 70% dataset has similar results; however, the total volume change (695 ± 406 x
106 m3 w.e.) increased by 4 % when compared to the most complete data set (Figure 4.7).
The periods with the highest rates o f volume loss include 1952 - 1966 and 1991 - 1993. The
period 1950 - 1952 was the only epoch in which the glacier gained volume (95 ± 78 * 106 m3
w.e. yr'1).
47
1952-1977
LIA extent
'^ N j f
{PUBl Ice-cored moraine
I
.. ] Newest ice surface (50 m contour)
Elevation Change (m)
H I 101-120
H I 81 - 100
H H l 6 1 -8 0
I
" 'I 41 -60
I
| 21 -4 0
I'""..I 1-20
j
I - 19-0
1
1 -39 - -20
j
j -59 - -40
1
| -79--60
—
-99 - -80
H
-119--100
HI -139- -120
HI -157- -140
Figure 4.6 Peyto Glacier elevation changes for 1917 - 1952, 1952 - 1977, and 1977 - 2005.
48
O)
§ -20
•5 -30
® -40
at
a. -so -60
-70 -
P eriod
Figure 4.7 Rate o f volume change for Peyto Glacier for periods with the second-most complete data.
4.1.2.2
Lateral moraines
Approximately 13% (-85 ± 4 * 106 m3w.e.) of the total glacier volume change originates
from thinning o f the ice-cored moraine (Figure 4.8). For the periods 1955 - 1966, 1966 1967, and 1973 - 1977 deflation o f the ice-cored moraine respectively accounted for 18, 18,
and 67 % of the observed ice loss. These elevated contributions could be attributed to the
remobilization o f freely available sediment on the ice-cored moraine (e.g., Bennett et al.,
2000). For unknown reasons the ice-cored moraines experienced volume growth for the
periods 1951 - 1952 and 1993 - 1997. Although localized increase in sediment storage could
explain this growth, it is more likely explained from differences between the stereo models
rather than an increase in ice volume.
49
LIAextent
■1947 /
2005 /
Ice-cored moraine
Elevation change (m)
— t 21 - 40
1-20
'" ^ x ^ d j y o -
/,
j
1-1 9 -0
I
j -39 - -20
-59--40
• V
7 9 --6 0
/
-84 - -60
0
0.25
0.5
li. ..I— A— 1— 1
1 km
I,
I
,1
I
Figure 4.8 Elevation change for the ice-cored moraines adjacent to Peyto Glacier from 1947 to 2005.
4.2
Sediment Analyses
4.2.1
Description of sediments
O f 27 sediment core samples collected, I processed 18 percussion cores and one Ekman-box
core. The remaining nine cores were not processed because the laminations were disturbed,
unidentifiable, or too thin to measure. In most cores, clear sediment laminations were not
visible until the sediments were allowed to partially dry which caused cracks to develop. For
50
the length o f the cores (0.2 - 2.9 m), cracks accounted for an average of 4.5 ± 1.8 % of their
length. Additionally, sediment cores either had missing laminations near the water-sediment
interface, disturbed laminations from barrel distortion, or indistinct laminations from too low
o f sedimentation.
The annual nature o f the laminated silt-clay couplets was independently confirmed by
137Cs radionuclide dating as varves (see section 4.2.3). A ‘varve’ was originally described by
De Geer (1912) as a complete annual cycle consisting o f a coarse-grained, pale summer layer
below a fine-grained, dark winter layer. Varves in Peyto Lake are relatively thick (> 1 cm)
as a result of the sediment laden underflows in the summer months, and low sediment input
in the winter months. Visually, the varves typically consist of a thick, light-coloured silt
layer and a very thin, dark-coloured clay cap (Figure 3.6). According to Ashley (1975), the
varves in Peyto Lake belong to Type III classification where the clay cap is less than half the
total varve thickness. In water depths deeper than 30 m, recovered varves are thick with
sharp boundaries. Some of the thicker varves (> 2 cm) contain multiple graded beds which
are interpreted to arise from intra-annual variation in sedimentation rates (e.g., Figure 4.14;
Gilbert, 2003). Closer to the inflow o f Peyto Creek, recovered cores contain indistinctlylaminated sands, gravels, and occasionally cobbles. Varves in this region could not be
distinguished as a result o f the high sedimentation and the dewatering structures present
(Zolitschka, 2007).
4.2.2
4.2.2.1
Bulk-physical properties
Horizontal trends
Bulk-physical properties of the Peyto Lake sediments are spatially variable (Figure 4.9).
The mean water content within the sediments is 37.5 ± 7.2 %. The lowest water content
51
(-29% ) occurs for sediments in proximity to the delta and water content progressively
increases to 52% in the distal and shallower regions. The water content o f Peyto Lake
sediments is inversely related to dry density (1^= 0.97, p < 0.01, n = 17). Water content is
inversely related to density (Menounos, 1997; Hakanson and Jansson, 2002). The coarser
sediments near the Peyto delta are denser (-1.5 g cm'3) than the silts and clays found in distal
settings (< 1.0 g cm'3). The mean dry and wet densities o f lake sediments were 1.27 ± 0.24 g
cm'3 and 2.01 ± 0.18 g cm'3, respectively. The mean organic content was relatively low at
1.9 ± 0.5 %. The spatial distribution o f organic content is moderately correlated (r2 = 0.45, p
< 0.01, n = 17) to water content and moderately correlated (r2= 0.35, p < 0.01, n = 17) to dry
density.
A)Dry DansJty (g o n 4 )
O 0809-1.000
0 toot >1200
^
1.201-1.400
l i p 1.401-1.000
pv
B)vtet Oanatty (g cm ’)
© 1925-1900
^ 1J01-2.000
@ 2.001-2.200
_
1
dr
\(/
J }
Itf
C) Water Content (%)
© 29*30
0 31-35
(£) 39-40
©
« -«
mu
51-66
N
- ^
QV-.
2.201-2.400
D)Organio Content (%}
© 1.2-1.#
0 16-2.0
@ 2-1-2*
/ J y ik ^
Qv-_
2,6' 30. _
01
250
1 500m
J
Figure 4.9 Spatial distribution o f mean bulk-physical properties for Peyto Lake for the period 1917-2010: (A)
dry density, (B) wet density, (C) water content, and (D) organic content. Mean values were calculated from the
interpolated values between sub-sampled locations down the core for every varve. The small arrows indicate the
primary inflow and outflow o f Peyto Creek.
52
4.2.2.2
Vertical trends
Variation o f physical properties also changes with depth (Figure 4.10). Water content in the
proximal portion o f Peyto Lake, for instance, tends to decrease with depth. Core 11 -Peyto
(N), sampled from the proximal basin, has the highest water content (36.3 %) near the watersediment interface and progressively decreases at a rate o f 2.9 % m '1. Such variation can
arise from variable sedimentation rates, quality and character o f the deposits, degree o f
compaction, and bioturbation (Hakanson and Jansson, 2002). For the same core, dry density
is the lowest near the water-sediment interface at 1.22 g cm'3 and increases to 1.39 g cm'3at
152.5 cm of depth. The general trend of organic content remains relatively low and constant
at 1.56 ± 0.27% .
53
Dry Density (g cm'3)
1.00
1.25
I
I
1.50
1.75
I_______ I
o -i
S
o
CM
o _
fo>
o>
in
CO
Ol
h>
h- Q
01
o _
<
EE
o
=
w 8
a>
Q
“
^® £to
CO 0)
p-
o -
=
=_
in
o> oCO
CO
01
CO
CO
01
<
I"01
© -J
0 1 2 3 4 5
Varve thickness (cm)
0.0 0.5 1.0 1.5 2.0 2.5
Organic Matter (% LOI 550aC)
Figure 4.10 Bulk-physical properties for core 1 l-Peyto(N). Dry density (dark grey line) and organic matter
(light grey line) were sub-sampled at 2 cm intervals. Varve thickness was interpolated (red line) near the top
and measured (black line) downwards.
4.2.3
Cesium - 137 (137Cs)
The maximum 137Cs activity level occurs at 45.5 cm of depth in core 10-Peyto(02) and
independently confirms the varved nature o f the sediment record (Figure 4.11).
54
Counted varves (Calendar years AD)
05
...
CO CO 050XJX7) 0)0)
«MD<0«O