alexander w.t. bynum senior integrative exercise march 9, 2018 · 2020. 8. 4. · application of...
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Application of paleosol-based climate models to modern soil samples across the contiguous United States
Alexander W.T. Bynum Senior Integrative Exercise
March 9, 2018
Submitted in partial fulfillment of the requirements for a
Bachelor of Arts degree from Carleton College, Northfield, Minnesota.
Table of Contents
ABSTRACT INTRODUCTION .............................................................................................................1 GEOLOGIC BACKGROUND .........................................................................................2
Paleosol-based Paleoclimate Proxies ........................................................................................ 3 Soil Weathering Mineralogy ..................................................................................................... 4
METHODS .........................................................................................................................7 RESULTS .........................................................................................................................10
Mean Annual Precipitation Predictors .................................................................................. 10 Mean Annual Temperature Predictors ................................................................................. 12 Multiple Regression Analysis .................................................................................................. 17
DISCUSSION ...................................................................................................................17
Mineralogic Findings ............................................................................................................... 19 Limitations ............................................................................................................................... 21
CONCLUSION ................................................................................................................24 ACKNOWLEDGEMENTS ............................................................................................25 REFERENCES .................................................................................................................26
Application of paleosol-based climate models to modern soil samples across the
contiguous United States
Alexander W.T. Bynum Carleton College
Senior Integrative Exercise March 9, 2018
Advisor: Dr. Daniel Maxbauer
ABSTRACT
Analysis of soil geochemistry through paleosol-based climate proxy models allows the constraint of precipitation and temperature in ancient Earth environments. Three widely accepted paleosol-based precipitation models — CALMAG, CIA, CIA-K — and two paleosol-based temperature models were applied to geographically and environmentally diverse soils across the United States to determine their broad scale efficacy. Proxy models were unable to capture variation in mean annual temperature (R2 < 0.01), but did poorly capture variation in mean annual precipitation (R2 < 0.25). Climate proxy models were tested for possible improvement by the inclusion of 26 soil minerals in conjunction with each climate proxy model. A multiple regression linear model containing both the original climate proxy model and mineralogic measure for each individual mineral was performed. Testing these multiple regression models and their geochemistry-exclusive equivalents for statistically significant differences revealed six mineral measures which improved models: K feldspar, plagioclase feldspar, total feldspar minerals, kaolinite, total clay minerals, and hematite. Other minerals that were found to improve some models and not others include gibbsite and quartz.
Keywords: climate, paleosols, geochemistry, mineralogy, United States
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INTRODUCTION
Mounting evidence suggests that anthropogenic climate change will be a major
threat to coming generations (IPCC, 2013; USGCRP, 2017). In order to better
understand how the biosphere will be altered, scientists examine Earth’s climate
history. Accurately constraining paleoclimatic variables, such as precipitation and
temperature, allows us not only to examine our planet broadly, but also to
improve our understanding of how life adapted to paleoclimatic changes. One of
the principal ways in which scientists understand Earth’s climate history from
terrestrial systems is through the study of fossilized soils (paleosols; Sheldon and
Tabor, 2009). Paleosols represent buried landscapes of the past that are preserved
in the rock record (Sheldon and Tabor, 2009). Paleosol-based climate proxies are
useful because of a soil’s high sensitivity to climate-dependent weathering
(Sheldon et al., 2002; Gallagher and Sheldon, 2013).
Efforts to produce robust proxy methods from modern soil data have improved
our ability to constrain paleoclimate conditions when applied to paleosol systems
in the geologic record. But producing accurate predictors is fraught with
challenges, as modern Earth is quite changed when compared to much of Earth’s
history, when life existed as entirely different flora and fauna living under
variable atmospheric conditions. This paper seeks to examine performance of
previously determined climate proxies on a broad scale, and determine whether or
not the addition of specific mineralogical measures could improve their predictive
accuracy. Specifically, three well-established proxy models of climate were tested
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in their ability to predict local precipitation and temperature using geochemical
data from two national datasets. The analysis was then repeated with the addition
of mineralogic data, to determine whether a mineral’s inclusion in the linear
model had a significant impact on the proxy model’s performance.
GEOLOGIC BACKGROUND
Soil is more than just dirt. Soil is “a natural body, differentiated into horizons of
minerals and organic constituents, usually unconsolidated, of variable depth,
which differs from the parent material below” (as cited in Jenny, 1941). Soils are
composed of a complex mixture of tiny, broken-up pieces of parent rock that
mature and develop into distinct layers, called horizons, over hundreds to
thousands of years. These bits of rock form the mineral phase of soil, which
surrounds and interacts with pore spaces that contain mixtures of gases and
liquids (Tan, 1993). Soils vary widely in composition, structure, texture, and
mineralogy depending on the conditions present during their formation. Many
factors influence soil characteristics, but the principal soil forming factors as
outlined by Jenny (1941) include climate, organisms, topography, parent material,
and time. The major soil forming factor important to this paper is that of climate,
which encompasses both precipitation and temperature.
Precipitation, and more generally soil moisture, is crucial to developing soil
character as it drives physical and chemical breakdown, and leaches elements
downwards to remove them from the soil system (McLaren and Cameron, 1996).
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Chemical weathering from precipitation is due to the acidity of rainwater
introducing protons to a soil system (McLaren and Cameron, 1996, pg 161).
Increasing temperature essentially has a similar effect on chemical weathering, as
it works by increasing the amount of dissociation of water molecules in the pore
space (Jenny, 1941). Warmer climates also allow for more weathering simply
because once a soil freezes, little weathering occurs (Jenny, 1941). Because both
precipitation and temperature are primary controls on a soil’s characteristics
according to our framework, geologists apply analyses to paleosols that examine
their geochemistry in an effort to reconstruct climate during the paleosol’s
maturation.
Paleosol-based Paleoclimate Proxies
The major paleoclimate proxy models used in the literature are precipitation
estimators called CALMAG, CIA, and CIA-K (Sheldon et al., 2002). Proxy
models have also been developed to estimate temperature, but all geochemical
paleoclimate proxies work on the same fundamental principle. Different ions
behave predictably in varied soil maturation environments. For example, Al2O3
generally remains within the soil when it rains, while the bases (MgO, CaO, K2O,
Na2O) tend to leach out with precipitation/moisture (Sheldon and Tabor, 2009).
This means that we expect soils that developed in environments with high
precipitation to have a relatively high ratio of Al2O3 to bases (Sheldon et al. 2002;
Sheldon and Tabor, 2009). Various estimators have been found and reported that
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utilize different soil processes (not just leaching) including hydrolysis, oxidation,
acidification, and salinization (Sheldon and Tabor, 2009).
The three major proxy models have proved useful in studying various
paleoclimates throughout geologic history, including the Paleocene-Eocene
Thermal Maximum (PETM; Andrews et al., 2017). Here each proxy model shows
that rainfall increased by approximately 500 !!"# across the PETM (Andrews et
al., 2017). These data support paleoprecipitation constraints produced via
examination of preserved alluvial fan complexes in a separate region (Andrews et
al., 2017). Although these proxy models that rely solely on geochemistry are
demonstrably useful corroborating evidence, they still fail to harness the full
scope of weathering characteristics in a developed soil. Soil mineralogy is another
example of an important soil measure that helps identify a weathering
environment. The presence or absence of minerals with specific weathering
characteristics is ignored by these paleosol-based paleoclimate proxy models.
Soil Weathering Mineralogy
Soils are composed of a mixture of different minerals that vary widely in their
susceptibility to chemical weathering, which is specific to the chemical
composition and crystal structure for a given mineral. Weathering of
phyllosilicate minerals provides an illustrative example of how weathering
processes involved in soil formation are varied, with the added benefit that clay
minerals (and therefore phyllosilicates) are pertinent to this paper’s results.
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Muscovite (KAl3Si3O10(OH)2) is a common phyllosilicate that is prone to weathering
in soils. In the presence of acid (like rainfall), the hydroxyl groups on the outer
edge of a mica become protonated and reduce to overall negative charge of the
sheet (McLaren and Cameron, 1996). In other phyllosilicates, the ferrous iron
may convert to ferric iron over long periods of time in oxygenated soil which also
reduces the negative charge (Ismail, 1969). The moderate loss of negative charge
of the silica and alumina layers in turn causes the potassium ions that bind the
layers together to fall out of the structure (McLaren and Cameron, 1996) (Fig. 1).
When common soil cations in the soil solution (Ca2+ and Mg2+) replace the
potassium that fell out of structure, they wedge apart the layers further and drive
physical weathering (McLaren and Cameron, 1996).
Despite a relative resistance to chemical weathering, clay minerals still play a
crucial role in the chemical weathering process. This is due to their ability to
adsorb ions, called exchangeable ions, onto their slightly negative surface (Jenny,
1941). Exchangeable ions are predominantly cations, although some local anion
pockets may exist (McLaren and Cameron, 1996). These are relevant to soil
weathering because they can replace some ions that are lost due to leaching
(Jenny, 1941; McLaren and Cameron, 1996).
Both physical and chemical weathering processes described above are what get
reflected in soil measures that are interpreted through paleosol-based proxy
models. In this paper, the existing proxy models, CALMAG, CIA, and CIA-K, are
Exchangable IonsSoil Solution Ions
Ca2+ Na+
K+ NH4+
Fixed Ions
Figure 1. Soil clay weathering process releasing potassium ions into soil solution. Exchangeable (cat)ions stick to clay mineral surface because of its negative charge. Figure adapted from McLaren and Cameron (1996).
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evaluated through their application to large, national datasets of soil geochemistry
and mineralogy. First, the effectiveness of each proxy model at predicting the
measured annual precipitation and temperature values based on a site’s
geochemistry is evaluated using a large volume of geographically and
developmentally diverse soils. Finally, a statistical framework which adds
mineralogy to geochemical proxy models is evaluated and compared to the
geochemistry-exclusive models.
METHODS
All data from this study are freely available through online databases from the
United States Geological Survey (USGS) and the United States Department of
Agriculture (USDA). The Mineral Resources On-Line Spatial Data were
downloaded from the USGS for both geochemical and mineralogical data of
4,857 sites across the contiguous United States (Fig. 2) (Smith et al., 2014;
Wickham et al., 2017b). The data included are 47 chemical measures (eg. Ca, Fe,
Sr) and 26 mineral measures, as well as land cover, sample depth, and coordinates
(Smith et al., 2014). Climate data were then obtained from the USDA’s National
Resources Conservation Service through their Geospatial Data Gateway. The
Parameter elevation Regression on Independent Slopes Model (PRISM) dataset
was pulled from this site to provide climate data collected between 1981 and 2010
at an 800m resolution (PRISM Climate Group, 2017; Wickham and Chang,
2017). The pertinent data included are mean annual precipitation (MAP) and
mean annual temperature (MAT) (PRISM Climate Group, 2017).
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Figure 2. Map of contiguous United States with each dot representing one of 4,857 sample sites. Adapted from Smith et al. (2014).
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Prior to analysis, all data were compiled and formatted into a single dataset using
the R statistical programing language (R Core Team, 2018; Wickham et al.,
2017a). PRISM data were converted from raster data to a point data frame
(Hijmans, 2017). MAT and MAP data from the PRISM dataset were then
extracted onto the coordinates of the geochemical data (Kahle, 2013).
Geochemical data provided by the USGS are in units of !$%%$&#'!($%)&#'! . Most paleosol-
based proxies use weight percent oxide (e.g., Sheldon et al., 2001; Stinchcomb et
al., 2016). Accordingly, all geochemical data reported here were converted to
weight percent oxide prior to any statistical analysis.
To determine the accuracy of available paleoclimate proxies, regression analyses
were performed on all data with the exception of soils identified in the data as
being developed or directly associated with agricultural practices. These disturbed
soils have measures which are altered by human interference, and therefore may
not accurately represent their climate environment. The value for each paleosol-
based climate proxy (CALMAG, CIA, CIA-K) was logged for each site and
plotted against the climate variable it is supposed to estimate (Wickham and
Chang, 2016). This analysis was run for soil sample datasets from both the A
horizon, and the C horizon as they are defined by Smith et al. (2014). To
determine the efficacy of adding mineralogy to each climate proxy, a new
multiple regression linear model was run with both the climate proxy and
mineralogy for each individual mineral. Analysis of variance (ANOVA) tests
were then run for each multiple regression linear model against the original linear
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model that excludes mineralogy to test for statistically significant differences
between the two. All data were analyzed using Rstudio software. Figures were
adapted and created using a combination of Rstudio and Adobe Illustrator
software.
RESULTS
Mean Annual Precipitation Predictors
Three different paleosol-based climate proxies — CALMAG, CIA, and CIA-K —
were employed to test whether or not each accurately captured variation in mean
annual precipitation (MAP) across the dataset. In general, all statistical
correlations are low (R2 < .25). However, considering the wide range in soil
forming factors across the dataset in addition to climate, the fact that significant
correlations exist at all highlights the strong relationship between MAP and soil
geochemistry.
CALMAG estimation compares the ratio of Al2O3 to the sum of CaO, Al2O3, and
MgO (CALMAG) to estimate MAP for a given soil. Comparing a plot of the
CALMAG ratio to MAP for A horizons across soil samples yielded a linear
model with a .08697 R2 value (Fig. 3a). The C horizon fared somewhat better,
with a linear model yielding an R2 value of .1496 (Fig. 3b).
The chemical index of alteration (CIA) compares the ratio of alumina to the sum
of bases (Al2O3 to the sum of CaO, MgO, K2O, Na2O). Comparing a plot of the
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Figure 3. CALMAG (%) plotted against MAP (mm) for undisturbed soil samples from A horizons (A) and C horizons (B). Red line represents simple linear regres-sion. Created using Rstudio (R Core Team, 2018).
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ratio of the basesto MAP in A horizons for our samples yielded a linear model
with an R2 of 0.2262 (Fig. 4a). The same plot for the C horizon gave an R2 of
0.1394 (Fig. 4b).
The CIA-K is the CIA ratio with the potassium (K2O) removed so as to better
control for potassium metasomatism (Sheldon et al., 2002). Removing K2O
weakened the R2 of the linear model for A horizons to .1571, while it strengthened
the R2 of sample C horizons to .2022. Log transforming the MAP, however,
improves the R2 values for both A horizon and C horizon CIA-K estimation
(.1872 and .2182 respectively) (Fig. 5).
Mean Annual Temperature Predictors
Mean annual temperature (MAT) has no significant correlations for the two
separate predictor models evaluated in this study. The first model predicts
temperature by comparing the ratio of barium to strontium in the A and C soil
horizons (Sheldon and Tabor, 2009). Neither the A horizon nor C horizon were
associated with *'+# ratios that were able to explain more than 1% of the
temperature data (R2 = .01 and R2 = .007 respectively) (Fig. 6). The second model
compares the sum of measured K2O and Na2O molecules over Al2O3 molecules
(Sheldon and Tabor, 2009). Again, neither the A horizon nor C horizon were
associated with a K2O and Na2O to Al2O3 ratio that could explain more than 1% of
the data (R2 = .002 and R2 = .009 respectively) (Fig. 7).
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Figure 4. (Al2O3 / (CaO+MgO+Na2O+K2O)) plotted against MAP (mm) for undisturbed soil samples from A horizons (A) and C horizons (B). Red line represents simple linear regression. Created using Rstudio (R Core Team, 2018).
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Figure 5. CIA-K (%) plotted against MAP (mm) for undisturbed soil samples from A horizons (A) and C horizons (B). CIA-K (%) plotted against log(MAP) (log(mm)) for undisturbed soil samples from A horizons (C) and C horizons (D). Red line represents simple linear regression. Created using Rstudio (R Core Team, 2018).
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Figure 6. Ba/Sr plotted against MAT (˚C) for undis-turbed soil samples from A horizons (A) and C horizons (B). Created using Rstudio (R Core Team, 2018).
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Figure 7. ((K2O + Na2O) / Al2O3) plotted against MAT (˚C) for undisturbed soil samples from A horizons (A) and C horizons (B). Created using Rstudio (R Core Team, 2018).
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Multiple Regression Analysis
Each mineral was run in a separate multiple linear regression analysis alongside
the paleosol-based precipitation proxy to determine whether or not their inclusion
in the linear model significantly improved the R2 value. Significance was
determined using an analysis of variance (ANOVA) test. Of the 26 minerals
tested, four significantly improved R2 values for both log transformed CIA-K and
CALMAG in the A and C horizon: K feldspar (KAlSi3O8), plagioclase feldspar
((Na,Ca)Al(1,2)Si(2,3)O8), total feldspar minerals, kaolinite (Al2Si2O5(OH)4), and total
clay minerals, and hematite (Fe2O3) (see appendix for p-values). Gibbsite
(Al(OH)3) significantly improved the R2 values for both models, but only in the A
horizons. Lastly, quartz (SiO2) improved R2 values for both models, but failed to
improve both horizons in each model.
DISCUSSION
CIA and CIA-K models performed better than CALMAG with respect to their
ability to capture the variability of precipitation in our dataset. Previous studies
have found the CALMAG proxy model to perform slightly better than the CIA-K
model, meaning this paper’s results are somewhat unexpected (Nordt and Driese,
2010). Additionally, previous studies have found that the removal of potassium
improves the efficacy of CIA as a paleosol-based precipitation proxy model
(Maynard 1992). Although the CIA-K model performed better than CIA for this
study’s C horizon data, the inverse result was found in A horizon analysis. This is
not surprising, as the removal of potassium is done to control diagenetic
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alterations which would not be present in modern soils (Maynard 1992; Sheldon
and Tabor, 2009).
These paleosol-based precipitation proxy models also exhibited improved
correlations when plotted against log-transformed values for MAP. This is
consistent in the case of the CIA-K model, because it theoretically contains an
asymptotic relationship at CIA-K = 100 (Sheldon et al., 2002). Therefore, an
exponential fit should have a slightly higher correlation than a linear fit, although
both are used in the scientific literature (Sheldon et al., 2002). The same
relationship should exist for CALMAG due to the nature of its calculation,
although the literature fails to explicitly affirm its existence (Nordt and Driese,
2010).
Neither of the paleosol-based temperature proxy models examined demonstrated
any predictive power with respect to MAT. This may imply that temperature is
simply less strong of a control on soil geochemistry when compared to
precipitation, or even that the temperature proxy models themselves are less
powerful. Regardless, mineralogic data couldn’t be incorporated in these models
because almost any variable would improve such weak correlations, yielding
trivial results.
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Mineralogic Findings
My findings suggest that the inclusion of clay minerals and their unweathered
precursors (feldspars) into regression analyses for paleosol-based MAP proxies
could improve the accuracy of these estimations. Feldspar minerals weather into
kaolinite via a hydrolysis reaction, and kaolinite can then weather into gibbsite
(Tan, 1993). The literature emphasizes the role of clay minerals in chemical
weathering and leaching processes (Jenny, 1941; Tan, 1993). Both kaolinite and
gibbsite are clay minerals that may represent substantial portions of inorganic soil
colloids that hold exchangeable ions on their surfaces. Soils with larger clay
mineral compositions may have the ability to leach more, which might explain
why they help provide greater predictive power. As the amount of leaching is
directly correlated with the amount of precipitation, gaining leaching sensitivity
will improve the overall accuracy of the estimation. My findings support previous
work’s emphasis on clay minerals’ importance in soil processes, and suggest they
may improve paleosol-based precipitation proxy models.
Although gibbsite seems only seems to be relevant in the A horizon, this may be
due to its relationship with kaolinite (Tan, 1993). Because gibbsite is the product
of the weathering of kaolinite, it is possible that it must be near the surface to
surpass the threshold of weathering required to produce it. Another explanation
could be that gibbsite is unstable over the longer periods of time required to
develop a C horizon. Both ideas may be supported by the lack of samples in the C
horizon that contain gibbsite. The general lack of samples may be responsible for
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the failure to produce a statistically significant improvement of the R2 value.
Despite the lack of significance (high p-value), the R2 value did improve in C
horizon tests. Perhaps additional samples containing gibbsite would reveal this as
a statistically significant relationship. To examine the role of gibbsite in climate
estimation models further, we should expand our databases with more gibbsite
containing samples, and rerun these analyses.
As hematite is a mineral whose creation is sensitive to soil moisture, it seems
consistent that it would be associated with an improvement in paleosol-based
precipitation proxies. Some iron oxides weather into either hematite or goethite
depending on frequency of dry periods in a soil environment (Schwertmann,
1988). Goethite, however, was not as effective at improving our precipitation
models. Because hematite and goethite are both products of these iron oxide
transformation reactions, we might expect our dataset to contain a higher number
of soils which experience a frequency of dry periods associated with hematite
production. This may be inconsistent with the literature, as the dry periods
necessary for hematite production are generally associated with subtropical and
tropical environments that are unlikely to be abundant in the contiguous United
States (Cornell and Schwertmann, 2003).
Curiosities also arose with this analysis, such as why quartz improves MAP
estimators. This defies expectation as quartz is intensely resistant to chemical
weathering and is often considered to be the product of physical breakdown of
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parent material when found in soils. One possible explanation is that quartz could
be a secondary product of the chemical weathering processes of feldspars into
clay minerals. This possibility, however, seems unlikely given our knowledge of
how feldspars weather (Tan, 1993).
Limitations
Considering these models do not take into account parent material, organisms,
topography, or time as conditioning factors of soil character, they appear to be
impressively good at constraining climate. Yet because none of these factors are
taken into account, they still represent a limitation of this study. We can only
expect so much of our data to be explained through our conditioning variables
(climate and temperature), if so many of the other variables remain uncontrolled.
For example, vegetation clearly affects both CALMAG and CIA-K. Different
vegetation types have distinct relationships within these paleosol-based climate
proxies as shown by least-squares lines with varying slopes (Fig. 8, Fig. 9).
Another major limitation of this study is that the contiguous United States does
not necessarily represent climate across the planet. This analysis should be done
across not just the United States, but on a random sampling of soils more broadly
across the world. Special focus ought to be placed on tundra and tropical climates
underrepresented in the contiguous United States. However, such robust datasets
don’t yet exist, so our scope must remain national.
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Figure 8. CALMAG (%) plotted against MAP (mm) for undisturbed C horizon samples with samples color coded by land cover. Colored lines correspond to simple linear models with shaded regions representing standard error. Created using Rstudio (R Core Team, 2018; Wickham 2016).
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Figure 9. CIA-K (%) plotted against MAP (mm) for undis-turbed C horizon samples with samples color coded by land cover. Colored lines correspond to simple linear models with shaded regions representing standard error. Created using Rstudio (R Core Team, 2018; Wickham 2016).
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CONCLUSION
Paleosol-based climate proxies were able to poorly capture variation in MAP
across a modern dataset, while they failed to capture variation in MAT. Although
paleosol-based climate proxies poorly capture the variation in MAP, the fact that
any correlations exist points towards the efficacy of paleosol-based climate
proxies as tools. CIA-K was stronger than CALMAG at capturing variation in
MAP, with R2 values for the A and C horizons about 0.07 and .05 higher
respectively. Running multiple linear regression analyses for each mineral
measure on top of our two major paleo-based climate proxies revealed four
specific minerals as significantly improving both CIA-K and CALMAG analyses
for the A and C horizons: K feldspar, plagioclase feldspar, total feldspars,
kaolinite, total clay minerals, and hematite. Minerals which improved some
portion of analyses, although less broadly, included gibbsite and quartz. These
results point towards the likelihood that incorporation of mineralogy into
paleosol-based climate proxy models could significantly improve these models,
although questions remain about the quantity of this improvement.
Future studies should examine why the addition of specific minerals improves
paleosol-based climate proxies, and whether or not they serve to improve models
working on a narrow set of soils. Studies could also examine soil moisture
balance as a variable, in lieu of precipitation. Moisture balance may have a closer
correlation with CALMAG, CIA, and CIA-K than precipitation, as it more
accurately represents the presence of water within the soil. Analyzing ratios of
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potential evapotranspiration and mean annual precipitation have precedent as
representing moisture balance, yet moisture analyses were outside the scope of
this project (Orgeira et al., 2011). Studies may also examine how vegetation cover
and soil types can be incorporated into proxy models to examine their
improvement of correlations.
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ACKNOWLEDGEMENTS
Thanks to Dr. Daniel Maxbauer for his expertise and guidance. Thank you to the
Carleton Geology Department and my peers for advice and company. Thanks to
my friends and teammates for keeping me sane throughout the process.
Thank you to my family, for their continued love and support, and for making
opportunities like this one possible.
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reconstruction of the Paleocene-Eocene Thermal Maximum, northern Argentina: Palaeogeography, Palaeoclimatology, Palaeoecology, v. 471, p. 181-195.
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