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ARTICLE IN PRESS<br />

N.D. Sheldon, N.J. Tabor / Earth-Science Reviews xxx (2009) xxx–xxx<br />

13<br />

certainty, fossils collected from different paleoenvironments including<br />

paleosols should be distinguishable.<br />

In general, the difficulties with applying different REE geochemical<br />

proxies are the same. First, though many REEs may be obtained by<br />

relatively conventional means (XRF or ICP-MS), there is additional<br />

cost relative to major element geochemistry. Second, many potential<br />

soil <strong>and</strong> paleosol parent materials are relatively low in REE prior to<br />

pedogenesis, so only a long formation time or relatively intense<br />

weathering will result in easily decipherable REE patterns. Third,<br />

though elemental ratios show some promise, individual REEs are not<br />

useful because it is the pattern of their distribution both between<br />

samples, <strong>and</strong> relative both to some st<strong>and</strong>ard (NASC or chondrites) <strong>and</strong><br />

to the parent material chemistry.<br />

5.3. Mass-balance calculations<br />

5.3.1. Pedogenesis <strong>and</strong> diagenesis<br />

Many geologic <strong>and</strong> pedogenic processes can be most easily<br />

discussed in terms of which elements are involved in a given process<br />

<strong>and</strong> how their abundance <strong>and</strong> distribution changed as the soil<br />

developed from the protolith. One common method of assessing<br />

gains <strong>and</strong> losses of various elements in soils is through constitutive<br />

mass balance (see Brimhall <strong>and</strong> Dietrich (1987); Chadwick et al.<br />

(1990)). Mass balance calculations have also been used extensively<br />

with paleosols to underst<strong>and</strong> pedogenesis (various, e.g., Driese et al.,<br />

2000, 2007; Bestl<strong>and</strong>, 2002; Sheldon, 2003, 2005; Hamer et al.,<br />

2007b). Mass balance can be reduced to two concepts, strain (ε) ofan<br />

“immobile” element <strong>and</strong> transport (τ) of a second element with<br />

respect to the immobile element. While a more thorough discussion<br />

may be found in any of the original references mentioned above, the<br />

basic concept is that if elements that were immobile during weathering<br />

can be identified then it is possible to assess losses <strong>and</strong> gains of<br />

mobile elements compared to the immobile element. This has in it the<br />

underlying assumption of open system transport, that is, that mass<br />

may be lost or gained by the system. In real terms, the gains <strong>and</strong> losses<br />

of elements could be due to a variety of physical <strong>and</strong> chemical<br />

processes. For example, the loss of a given element could represent<br />

pedogenic processes while the addition of another element could be<br />

from aeolian processes. The open system mass-transport function for<br />

element j in the weathered sample (w) isdefined as follows:<br />

"<br />

τ j; w=<br />

ρ w C #<br />

h i<br />

j;w<br />

e<br />

ρ p C i;w +1 − 1<br />

j;p<br />

ð11Þ<br />

where ρ w is the density of the weathered material, C j,w is the chemical<br />

concentration (weight percentage) of element j in the weathered<br />

material, ρ p is the density of the parent material, <strong>and</strong> C j,p is the<br />

chemical concentration (weight percentage or molar mass) of<br />

element j in the parent material. In many cases, ρ w values must either<br />

be assumed based on modern analogues or adjusted from measured<br />

values to take into account compaction of the paleosol (Eq. (4);<br />

Sheldon <strong>and</strong> Retallack, 2001) after its formation. If τ j,w =0 (i.e.,<br />

element w was immobile), then ε i,w can be solved for separately, thus<br />

bypassing volume (as in the classical definition of strain) as follows:<br />

where ε i,w is the strain on immobile element i in the weathered<br />

sample. Selection of immobile elements is often made on the basis of<br />

theory rather than observations: Ti, Nb, Al, <strong>and</strong> Zr are typically assumed<br />

to be immobile during weathering. However, it is possible to<br />

assess the immobility by comparing the relative mobilities of a<br />

supposedly immobile element assuming that another element is immobile<br />

(Chadwick et al., 1990). For example, one could plot τ Ti,w,ε(Zr)<br />

against ε Zr,w <strong>and</strong> τ Zr,w,ε(Ti) against ε Ti,w to determine which element<br />

was truly immobile during weathering. If more than one element<br />

shows similar immobility, then the usual convention is to use the<br />

more abundant element. Thus, while Nb is immobile in most settings,<br />

if Zr is similarly immobile, it would be the element of choice for the<br />

calculations because it is typically 5+ times as abundant. An<br />

additional consideration with the selection of putatively immobile<br />

elements for use in mass balance calculations is the texture of the<br />

paleosols. For example, Stiles et al. (2003) found lower ε Ti values than<br />

ε Zr values in a modern climosequence, where the Zr resided almost<br />

exclusively within the s<strong>and</strong> <strong>and</strong> coarse-size fractions of the soils while<br />

Ti resided preferentially in smaller size fractions. There was little<br />

chemical weathering of the Zr-bearing zircons evident in SEM as<br />

compared with Ti-bearing minerals, so the lower ε Zr values represent<br />

physical, rather than chemical weathering, <strong>and</strong> preferential removal of<br />

larger grain sizes. Thus, Stiles et al. (2003) advocate using Ti as the<br />

immobile element in clay-dominated soils <strong>and</strong> paleosols <strong>and</strong> Zr as the<br />

immobile element in coarser-grained soils <strong>and</strong> paleosols.<br />

To illustrate some of these concepts, an example using data from<br />

Sheldon (2003) is presented. The middle Miocene Picture Gorge<br />

Subgroup is part of the Columbia River flood basalt province; between<br />

Picture Gorge flows, a variety of paleosols have been preserved<br />

including Alfisol-like (Argillisol) <strong>and</strong> Histosol-like paleosols (Sheldon,<br />

2003). For the Picture Gorge paleosols, Zr was determined to be the<br />

least mobile of the typically immobile elements (Fig. 8; as compared<br />

with Ti <strong>and</strong> Nd). ε Zr values indicate slight addition of Zr, but significant<br />

loss of Ti (τ Ti ). This pattern indicates that Zr is more immobile than Ti<br />

because an element (Zr in this case) that is chemically immobile <strong>and</strong><br />

only redistributed by physical weathering processes should accumulate<br />

during regular pedogenesis. If the plot is reversed (ε Ti versus τ Zr ),<br />

unrealistic addition (200% addition) of both elements is indicated,<br />

because there are virtually no Ti- or Zr-bearing minerals observed in<br />

thin section (Sheldon, 2003, 2006d). Thus, for other mass balance<br />

calculations Zr is used as the immobile element. The gains or losses of<br />

alkali (K, Na, Rb) <strong>and</strong> alkaline earth elements (Ca, Mg, Sr) can then be<br />

calculated <strong>and</strong> plotted as a function of depth for a typical Picture Gorge<br />

paleosol (Fig. 9). Ca <strong>and</strong> Na were lost extensively throughout the<br />

profile with more than 80% of Ca <strong>and</strong> 60% of Na removed relative to<br />

the parental basalt (Fig. 9A), a pattern similar to modern basalts<br />

(Chadwick et al., 1999) <strong>and</strong> other basalt-parented paleosols (Sheldon,<br />

2006c). In contrast, both K <strong>and</strong> Rb were added to the paleosols relative<br />

to the basaltic parent, except deep in the profile (Fig. 9B). Rb addition<br />

is systematically higher than K addition, a pattern that was interpreted<br />

by Sheldon (2003) as indicating airborne addition of volcanic ash from<br />

a local source. Given that both elements have the same chemical<br />

affinities, if the addition of both elements was instead due to metasomatism,<br />

the τ values would be equal (Sheldon, 2003). Plants use K<br />

as an important cellular electrolyte, whereas Rb is not a biologically<br />

important cation, so the difference between the two should represent<br />

"<br />

e i;w =<br />

ρ p C #<br />

j;p<br />

− 1<br />

ρ w C j;w<br />

ð12Þ<br />

Fig. 8. Immobile element determination.<br />

Please cite this article as: Sheldon, N.D., Tabor, N.J., <strong>Quantitative</strong> <strong>paleoenvironmental</strong> <strong>and</strong> <strong>paleoclimatic</strong> <strong>reconstruction</strong> using paleosols, Earth-<br />

Science Reviews (2009), doi:10.1016/j.earscirev.2009.03.004

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