Many different techniques are used in order to date glacial landforms and retreat rates. This often means that different results are yielded and ages or retreat rates may change depending on the technique that's used.
Figure 1: Latitude vs. Age of Bulk Sediments
In order to calculate the retreat of the Laurentide Ice Sheet, I began by creating a Web App using ArcGIS in order to determine the distances between points. The map shown below currently displays all points.
The points are categorized by dating method and symbolized by years from present, with earlier years in red and later years in orange and yellow. Looking at the point distribution on both the map and the graphs, it is difficult to see a clear trend in glacial retreat. The older points should be closer to the bottom while the younger points should be closer to the top, symbolizing glacial retreat.
The retreat rates were determined for each dating method by selecting specific points and calculating the average retreat rate between them. The oldest, southernmost point that represented the farthest south that the glacier traveled before retreating was compared to the youngest, northernmost point that represented the farthest north that the glacier reached before retreating farther.
For the bulk sediments, the points included Glover's Pond, NJ (40.94˚N, 12,100 years) as the southernmost point and Miller Brook, VT (44.47˚N, 10,500 years) as the northernmost point. The difference in degrees, 3.53˚, was multiplied by 111 kilometers, the approximate distance of one degree of latitude, to obtain a result of 391.83 km. This leaves the distance units in kilometers, which can be divided by the difference in years, in this case, 1,600, in order to find the retreat rate in kilometers per year. The retreat rate for the bulk sediment dating method was calculated to be 2.45 kilometers per year.
Using this same method, the retreat rate for the macrofossils was calculated to be at a similar rate. The southernmost point was located at Allamuchy Pond, NJ (40.92˚N, 14,400 years) and the northernmost point was located at Long Pond, NY (44.40˚N, 12,800 years). The retreat rate that was calculated using the difference in latitude converted to kilometers (386.28 km) and the difference in years (1,600), to obtain a rate of 2.41 kilometers per year. The difference between this result and that of the bulk sediments is less than 2%, which suggest that these two methods have similar certainties.
However, when we look at the cosmogenic nuclide data, we see very different numbers. The southernmost point was located at Terminal Moraine, NJ (40.97˚N, 25,200 years) and the northernmost point was located at Androscoggin Moraine, ME (44.40˚N, 13,200 years). The difference is latitude is 380.73 kilometers, and the difference in years is 12,000. Because of the significantly larger difference in years due to the older southern points, the retreat rate was calculated to be only 31.7 meters per year, which is much smaller than the 2.4 kilometer per year retreat seen using the radiocarbon methods.
Figure 5: Sea-Level Change data (Lambeck et al 2014)
A change in sea level accompanied a change in glacial ice extent. The Laurentide Ice Sheet likely held an equivalent of nearly 70-80 meters of sea level in ice (Corbett et al 2017), which lead to a ride in sea level as the glacier melted. Based on graph A in the figure to the left, the glacier began receeding around 20,000 years ago and contributed to a good amount of the 130 meters of sea-level rise since then. The graph appears to be steeper in the beginning, then slows down, potentially as the glacier reaches higher elevations and takes longer to melt.
Taking this graph into account, it is unlikely that the rates I calculated for the radiocarbon data are accurate. A rough estimate of sea level change over time is a 1 meter increase every 150 years. If the ice sheet held a 70-80 meter equivalent of sea ice, it would have taken around 11,000 years for the ice sheet to retreat. The cosmogenic data has a larger age difference because the points in the south at the beginning of the retreat were significantly older than points in similar areas dated using radiocarbon methods. This suggests that the cosmogenic data may be more accurate than the radiocarbon data. It is also more likely that the glacier would retreat at a rate of meters per year rather than kilometers per year.
We see such a big difference between these methods partially because a majority of the southernmost points are thousands of years older than the southern points that were dated using bulk sediments or macrofossils. While there were some older points scattered throughout the bulk sediment and macrofossil data, they were farther north than younger, southern points and were not strongly considered for the calculations because they indicated that the glacier was located farther south later on. Additionally, many of the cosmogenic nuclide data points were 5,000-10,000 years older than macrofossil or bulk sediments points located at a similar latitude in the same area. This suggests that radiocarbon-based data may yield significantly different results than cosmogenic nuclide data. Looking at the northern data points, the cosmogenic nuclide data suggests that the extent of the retreat reached northern Vermont and New Hampshire more recently than what the radiocarbon data suggests. This would extend the number of years that it took for the ice sheet to retreat, which contributes to the significantly slower retreat rate seen in the cosmogenic data.
If the cosmogenic nuclide and radiocarbon data yield drastically different results, how do we know which method is more accurate? According to one study, bulk sediment ages may be inaccurate due to the recycling of old carbon in bulk sediments, and macrofossils in VT tend to be hundreds of years younger than bulk sediment ages (Corbett et al 2018). Cosmogenic nuclides, on the other hand, accumulate in known rates but use several assumptions including that no erosion occurred following the retreat of the glacier (Corbett et al 2018).
We also know that glaciation occurred at different rates, and these rates tended to be rapid at lower, warmer elevations where the retreat rate exceeded the advance rate (Corbett et al 2018). The rates calculated above were an average, and did not account the rapid retreat at lower elevations or the slower, more uncertain retreat rates at higher elevations. It is also important to consider the type of glacier in this analyis. The Laurentide Ice Sheet was likely a combination of cold and warm-based, being frozen to the substrate in some areas but not others. It is possible that the glacier was cold-based in higher elevations where more snow accumulated and warm-based in lower elevations where it gradually became warmer as the ice sheet was retreating.
Ultimately, it is most likely that the cosmogenic data was more accurate than the radiocarbon data. The retreat rate and spacing of the points sounds more probable and the timeline in general makes more sense. Additionally, the sea level rise graph from the Lambeck et al paper would have displayed different results if it were following the path of the radiocarbon data.
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