EFFECT OF ENVIRONMENTAL FACTORS ON THE CHEMICAL WEATHERING OF PLAGIOCLASE IN HAWAIIAN BASALT Steven J. Gordon Department of Economics and Geography United States Air Force Academy HQ USAFA/DFEG 2354 Fairchild Drive, Suite 6K102 United States Air Force Academy, Colorado 80840-6299 Abstract: Much of the literature that analyzes the effect of various factors on basaltic weathering rates does not assess the synergistic effects of several factors at once. Those studies that do address such synergies generally report their results in formats that are difficult to integrate into geographic analysis. The research outlined in this paper employs multivariate statistics to assess the effect of several environmental variables on the weathering rate of basalts on the Island of Hawaii. The presence of lichens on the surface of the basalt increases weathering rate by an order of magnitude. Weathering that occurs in the absence of lichen cover is regulated by high elevation/low temperature conditions, moisture availability, and the age of the flow. Weathering that occurs in the presence of lichen cover is regulated primarily by moisture availability only. The statistical results reported here are consistent with the results of a geochemical-style analysis of the same dataset reported elsewhere, suggesting that a multivariate approach is appropriate for assessing the simultaneous effects of multiple weathering factors on the weathering rate. A multivariate statistical approach allows for the construction of quantitative weathering rate models that build on previously published qualitative models for describing geographic variation in weathering rates. [Key words: chemical weathering, basalts, Hawaii.] INTRODUCTION The weathering of basaltic minerals and glasses relates to many areas of physical geography, including landform change, dating of surface features, nutrient cycling and ecosystem development, chemical composition of surface- and sea-waters, and soil development. The process liberates nutrients into geochemical cycles and the biosphere, playing a major role in ecological succession, especially in the early colonization of new basalt flows by plants (Likens et al., 1977; Chadwick et al., 1999). Further, weathering contributes to soil development (Jenny, 1941; Pedro and Sieffermann, 1979) as it is the process by which bedrock is converted into regolith and ultimately soil mineral matter. It is a prime factor in landscape change over 105 to 107 years (Twidale, 1982; McLennan, 1993). Weathering rinds have been used as a dating tool for geomorphic surfaces (Colman and Pierce, 1981; Adams et al., 1992; Lynch and Stevenson, 1992; Ambrose, 1994; Freidman et al., 1994). Weathering also affects the composition of continental waters (White et al., 1980; White, 1984) and oceanic waters (Bischoff and Dickson, 1975; Mottl and Holland, 1978; Seyfried and Mottl, 1982). Further, studies of basaltic glass weathering provide 69 Physical Geography, 2005, 26, 1, pp. 69–84. Copyright © 2005 by V. H. Winston & Son, Inc. All rights reserved. 70 STEVEN J. GORDON information about the safe storage of high-level nuclear waste (HLNW; Ewing and Haaker, 1979; Lutze et al., 1985; Werme et al., 1990; Gordon and Brady, 2002). An understanding of the spatial variability in weathering at a given scale is therefore useful. Pope et al. (1995) provided a conceptual model that addresses the spatial variability in weathering as a function of numerous factors. Researchers from a variety of disciplines address the quantitative effect of various factors on weathering rates of rocks and minerals. For instance, temperature increases the rate of chemical weathering of feldspars, as reported from field studies (Velbel, 1993; Dorn and Brady, 1995; White et al., 1999) and also laboratory experiments (White et al., 1999; Welch and Ullman, 2000). Many field-based studies substitute space for temperature variations by analyzing weathering rates at different elevations and assuming that a lapse rate exists (e.g.,Velbel, 1993). While changes in elevation can exact changes in the temperature at which weathering reactions occur, changes in other environmental variables may depress or entirely mask an expected rate/temperature relationship (Gordon, 1996), creating a complex relationship between weathering rate and elevation. Elevation-dependent weathering factors other than temperature include precipitation and/or other available moisture sources (Hay and Jones, 1972; Dorn and Brady, 1995; Brady et al., 1999), thermal stress (e.g., freeze/thaw cycles) (Gordon, 1996; Hall, 1999), duration and thickness of snow cover (Gordon, 1996), and insolation (Paradise and Yin, 1993; Paradise, 1995). Further, variables that change with elevation may have opposing effects on weathering rates. Elevation has a negative effect upon temperature, and temperature has a positive effect upon weathering rate (mentioned earlier). Elevation has a positive effect upon insolation, as higher elevations receive greater amounts of incoming shortwave radiation (Barry, 1992). Insolation has a positive relationship with weathering rate of limestone (Paradise, 1994), granite (Paradise and Yin, 1993), and sandstone (Paradise, 1995). Precipitation and available moisture will vary with elevation, therefore either enhancing or decreasing rates on a case-by-case basis. Precipitation and available moisture are observed to increase physical and chemical weathering rates in both arid and humid climates (Roth, 1965; Hay and Jones, 1972; Brady et al., 1999). Lichen activity affects chemical weathering in a positive manner. Biotic (plant) activity decreases reaction solution pH through secretion of organic acids (Jackson and Keller, 1970; Wasklewicz, 1994). Several studies identify the importance of lichens in determining of the rate and nature of chemical weathering. These include a reversal in the order of mineral weathering in Hawaii (Wasklewicz, 1994), and the acceleration of chemical weathering (Jackson and Keller, 1970; Wilson and Jones, 1983; Berner, 1992; Brady and Carroll, 1994; Paradise, 1997; Banfield et al., 1999; Brady et al., 1999; Chen et al., 2000). The effect of lichens on weathering rates (via low pH) may vary with other weathering factors. For example, it is observed that the response of mineral dissolution rates to pH is more pronounced at elevated temperatures (Casey and Sposito, 1992; Hellmann, 1994). Therefore, numerous factors may have variable effects on weathering rates in the presence or absence of lichen cover. f5d p3.5 f5d c8.2 f5d c8.2 f5c o7 f5e b0.7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 Hualalai Alt. Tran Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow Source: Brady et al. (1999). f5c o7 f5d p3.5 Hualalai Alt. Tran f5c o7 f5d p3.5 Hualalai Alt. Tran SheepStation Flow f5d p3.5 Hualalai Alt. Tran SheepStation Flow f5d p3.5 Hualalai Alt. Tran f5c o7 f5d p3.5 Hualalai Alt. Tran f5c o7 f5d p3.5 Hualalai Alt. Tran SheepStation Flow f5d p3.5 Hualalai Alt. Tran SheepStation Flow Lava flow Study 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2670±80 2200–2300 2140±100 2030±80 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 C-14 age 1520 1370 1200 910 820 700 600 450 300 180 20 2377 20 100 500 1539 1250 975 580 450 300 143 61 Elevation (m) 14.4 15.3 16.2 18.0 18.6 19.4 20.1 21.1 22.1 22.8 23.9 9.8 23.9 23.4 20.7 14.3 15.9 17.6 20.2 21.1 22.1 23.1 23.6 Temperature (°C) Table 1. Abiotic Data Matrix 1000 1200 1350 1500 1500 1500 1500 1200 1000 700 500 500 500 500 500 1200 1100 1000 750 700 600 500 350 Precipitation (mm/yr) 200 350 500 430 370 300 -50 -300 -700 -1000 -1100 -1000 -1600 -1500 -300 -630 -850 -1250 -1375 -1550 -1725 -1950 0 Available moisture (mm) 0.94 1.40 1.96 3.02 3.26 3.61 3.87 3.62 3.24 2.71 2.43 0.45 2.43 2.22 1.63 4.77 4.44 3.92 3.01 2.95 2.89 2.82 2.90 Average % porosity CHEMICAL WEATHERING 71 Lava flow f5d p3.5 f5d p3.5 f5d p3.5 f5d p3.5 f5d p3.5 f5d p3.5 f5d p3.5 f5d p3.5 f5d c8.2 f5d c8.2 f5c o7 f5e b0.7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 f5c o7 Study Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Alt. Tran Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet Hualalai Mixed Age Isohyet SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow SheepStation Flow 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2200–2300 2670±80 2200–2300 2140±100 2030±80 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 2885±150 C-14 age 1520 1370 1200 910 820 700 600 450 300 180 20 2377 20 100 500 1539 1250 975 580 450 300 143 61 Elevation (m) 14.4 15.3 16.2 18.0 18.6 19.4 20.1 21.1 22.1 22.8 23.9 9.8 23.9 23.4 20.7 14.3 15.9 17.6 20.2 21.1 22.1 23.1 23.6 Temperature (°C) Table 2. Lichen Data Matrix 1000 1200 1350 1500 1500 1500 1500 1200 1000 700 500 500 500 500 500 1200 1100 1000 750 700 600 500 350 Precipitation (mm/yr) 0 200 350 500 430 370 300 -50 -300 -700 -1000 -1100 -1000 -1600 -1500 -300 -630 -850 -1250 -1375 -1550 -1725 -1950 Available moisture (mm) 16.69 21.53 24.81 27.74 28.28 29.11 29.74 26.66 21.37 13.54 7.66 0.83 5.66 4.89 2.74 28.10 25.16 18.02 11.72 8.39 8.10 7.05 7.22 Average % porosity 72 STEVEN J. GORDON 73 CHEMICAL WEATHERING Table 3. Matrix Descriptive Statistics Variable Maximum z1 z2 16.305 9.864 0.83 29.74 -1.624 -0.009 Porosity abiotic (%) 2.804 1.055 0.45 4.77 0.170 -0.380 Age (yr. B.P.) 2448.696 342.760 2030 2885 -1.820 10.480 Elevation (m) 711.522 606.941 20 2377 0.486 0.959 19.461 3.759 9.80 23.9 -0.049 -0.779 919.565 394.778 350 1500 -1.405 0.188 -640.435 793.048 -1950 500 -1.376 0.007 Mean annual temperature (°C) Precipitation (mm/yr) Available moisture (mm/yr) Mean SD Porosity lichen (%) Minimum The examples of elevation and lichen cover illustrate that it is possible to miss complex relationships among weathering factors and weathering rates in studies where only one or two factors are varied and the remainder are held constant. Brady et al. (1999) illustrated how multiple weathering factors (elevation, temperature, available moisture, lichens) are observed to synergistically regulate dissolution of plagioclase. The authors report their results in the form of activation energies, which is common in the geochemical community. Activation energies, while useful to illustrate the effects of the variables on dissolution, does not lend itself to application to a synthetic “Pope et al.” type weathering model, nor to geospatial modeling and mapping. Paradise and Yin (1993) illustrated how multivariate statistics may be used to address weathering rates. Some researchers resist the use of multivariate statistics, however, in favor of the perceived “more reliable” geochemical lexicon. The purpose of the research reported in this paper is to apply multivariate statistical analyses to an existing weathering dataset (that of Brady et al., 1999) to assess the applicability of such statistical analyses for use in the geospatial modeling of weathering. DATA AND METHODS The dataset (reported in part in Brady et al., 1999) consists of two matrices, each consisting of twenty-three rows and five columns. Each row represents one specific location of sampling and each of four columns represents a site-specific variable (mean annual temperature, elevation, annual precipitation, and available moisture), and an additional column represents the mean porosity of plagioclase samples collected at each station (Tables 1 and 2). The term “available moisture” refers to the value of precipitation minus potential evapotranspiration for each site. The “abiotic” matrix (Table 1) reflects plagioclase samples collected from surfaces free of visible rock coatings, such as rock varnish, silica glaze, and biofilms of algae, mosses, or lichens. The “lichen” matrix (Table 2) is constructed from plagioclase samples collected from lichen-covered (Stereocaulon vulcani) surfaces. Table 3 outlines some descriptive statistics of the dataset. Plagioclase samples were collected from flows located on the Island of Hawaii (Fig. 1) with a rock hammer and placed in plastic bags. The approach to sample collection was to avoid places where water might collect. Thus, only the tops of rock 74 STEVEN J. GORDON Fig. 1. Location of the study. Shading represents elevation. outcrops were sampled. For example, a knobby protuberance on an a’a flow would be sampled, or the top of a dome on a pahoehoe flow. It is not possible to be absolutely certain that lichens did not impact an “abiotic” sample. Certainly, lichens theoretically could have been present and died without leaving evidence of their presence. It is possible, however, to use existing evidence to limit the possibility of truly “biotic” samples being mistaken for “abiotic” samples. The first step is using a hand lens in the field. In the lab, visual inspections of SEM (scanning electron microscopy) versus BSE (backscattered electron) images are useful in identifying the presence of lichens. Lichens will appear conspicuously on the surface of the sample in SEM, while in BSE mode they will appear very dark in the same space on the sample (resulting from the low atomic number of carbon). The oxalate crystals secreted by lichens are visible in backscatter, and allow for the determination of lichen presence (Figure 2A). It is possible that the act of polishing cross sections for imaging in SEM and BSE may remove the lichens in the Z-axis. Despite this possibility, however, it is possible to observe the presence or effect of lichens (Fig. 2B), even if the lichen is up to a centimeter away from the surface of the cross section (Fig. 2C). Finally, the general “shape” or “nature” of the porosity CHEMICAL WEATHERING 75 Fig. 2. Evidence of lichen influence in weathering of basalt samples, flow f7dh7.9 (610 m). Backscattered electron (BSE) images, where higher atomic number appears brighter in the image. Scale bar in all images is 10 microns. (A) Oxalate crystals, secreted by lichens, appear very bright within the darker organic (lichen) matrix in the upper left one-third of the image. The surface of the sample (and the flow) runs roughly diagonally across the image from lower left to upper right. (B) Evidence of lichens is apparent even if the lichens have been removed by sample preparation from the cross section. Bright “speckles” are seen near the sample (and flow) surface in the upper right one-third of the image. The speckles appear to “float” above the surface because surface lichens hold them in place, but the lichen is not visible in this cross section. (C) This is true even when the lichen is up to a centimeter away from the surface of cross section. Bright speckles of oxalates are seen along the surface, as is a large void left from dissolution—further evidence of lichen activity even when lichens are not visible. created by dissolution underneath lichens looks different than porosity created in non-lichen conditions. The large areas of porosity in Figure 2 are examples of dissolution porosity found underneath lichens. Plagioclase samples were processed to determine individual percent porosity using procedures outlined in detail by Brady et al. (1999). Briefly, images of plagioclase grains were collected in the backscattered electron (BSE) mode of an electron microprobe. These images reveal dark holes or pores in the mineral grain that are the result of chemical dissolution. The images are processed with image processing 76 STEVEN J. GORDON Table 4. Factor Analysis Loadingsa Variable Factor 1 Factor 2 Factor 3 Age 0.11535 -0.23588 0.96417 Elevation 0.97904 0.19301 0.06287 Temperature 0.19686 0.97089 -0.09321 Precipitation 0.26999 0.88512 -0.35814 -0.97076 -0.22918 -0.06760 Available moisture a Bold type shows emphasis of loadings on each factor. software to determine the number of pixels that classify as pore space and the total number of pixels in the entire grain. Division of pore space by total pixels yields a percent porosity, which can also be divided by time since flow emplacement to yield a weathering rate of percent area lost per unit of time. It is worthwhile to note that the microporosity used as an indicator of chemical dissolution is fundamentally different than vesicles commonly found in basalt. Vesicles in basalt, usually the result of gas bubbles trapped in the cooling lava, appear very large in comparison to microporosity created by chemical dissolution. Vesicles may be further differentiated from dissolution microporosity by their ellipsoid shapes with smooth perimeters, while dissolution microporosity takes the form of “etch pits” (Rowe and Brantley, 1993), “networks and holes” (Pope, 1995), and “cracks” (Gordon, 1996). These features do not have smooth perimeters. Calculation of porosity from dissolution allows for easy avoidance of vesicles based upon the characteristics above, and therefore the porosity values used in this study do not include void space from vesicles. Principal components analysis was used in order to compress the dataset and reduce multicollinearity problems among independent variables in each of the two matrices. Extraction at eigenvalues greater than one resulted in two factors for each matrix, however, the statistical software defaults were overridden and three factors were extracted. The software default of two values is set because most analyses will only yield two factors. The default was overridden to allow the inclusion of the age of the lava flow to be included in the analysis. Varimax rotation was employed to achieve high loadings of a few variables on each factor. Factor scores for each of the three resultant factors were saved and used in multiple regression analysis. Two multiple regression analyses were performed, with one regressing the dependent variable “abiotic percent porosity” against the three factors (independent variables) described in more detail below. The second analysis regressed “lichen percent porosity” against the same three factors. Each stepwise multiple regression analysis used pairwise deletion of missing cases, an Fprobability of .05 to enter variables, and an F-probability of .10 to remove variables. RESULTS Principal components analysis was performed to compress the independent variable matrix (Tables 4 and 5). Recognizable patterns appeared for the three factors, 77 CHEMICAL WEATHERING Table 5. Final Factor Analysis Statistics Communality Factor Eigenvalue Percentage of variance Cumulative percentage Age 0.99857 1 2.83007 56.6 56.6 Elevation 0.99972 2 1.59675 31.9 88.5 Temperature 0.99946 3 0.54559 10.9 99.4 Precipitation 0.99006 n.a. n.a. n.a. n.a. Available moisture 0.98459 n.a. n.a. n.a. n.a. Variable Table 6. Abiotic Multiple Regression Results Metric Value Adjusted r2 0.67529 Significance level of r2 0.00 Standard error of estimate 0.60 Sum of squares 17.61000 Intercept 2.80 Durbin-Watson value 0.30867 Table 7. Abiotic Regression Coefficients Factor b Beta -0.407258 -0.386145 Moist conditions 0.55939 0.530387 0.0003 Longer exposure 0.56713 0.537729 0.0003 High elevation, low temperature Significance 0.00049 with the first factor representing low temperature, high elevation conditions (describes 56.6% of the variation), the second factor representing moist conditions (describes 31.9%), and the third factor representing increasing age of the lava flow (describes 10.9%). These three factors describe 99.4% of the variance in each matrix. The factor scores were used in multiple regression analyses. The first analysis involved the regression of abiotic porosity against the independent variable factors, described in Tables 6 and 7. The low temperature, moist conditions, and age of lava flow factors describe approximately 68% of the variation in porosity in plagioclase (adjusted r2 = 0.68), which is significant at the 0.0049–0.0003 level. The standard error is low (0.60), as is the sum of squares (17.61). A low Durbin-Watson statistic (0.31) suggests a degree of autocorrelation among the error terms in the regression. The regression coefficients for the abiotic analysis are shown in Table 7. The moist and increasing age factors have approximately the same weight in the determination of plagioclase porosity, with beta values of approximately 0.53 each. These coefficients are highly significant (each is significant to the 0.00 levels). The low temperature, high elevation factor has a less pronounced, negative effect on 78 STEVEN J. GORDON Table 8. Lichen Multiple Regression Results Metric Adjusted r Value 2 0.93934 Significance level of r2 0.00 Standard error of estimate 2.42 Sum of squares 2028.30 Intercept 16.30 Durbin-Watson value 0.86966 Table 9. Lichen Regression Coefficients Factor b Beta Significance High elevation, low temperature 0.87516 0.08873 0.1074 Moist conditions 9.56155 0.96937 0.0000 Longer exposure 0.08073 0.00819 0.8778 plagioclase porosity (beta = -0.39). This coefficient is also significant, to the 0.01 level. The second multiple regression analysis regressed lichen porosity against the independent variable factors, shown in Tables 8 and 9. The three factors account for approximately 94% of the variation in porosity of plagioclase in lichen-encrusted environments (adjusted r2 = 0.94), which is significant to the 0.0000–0.8778 level. The standard error of the estimate is low (2.43). A Durbin-Watson statistic of 0.87 suggests less of a concern with error autocorrelation than in the abiotic analysis. The regression coefficients for the lichen analysis are reported in Table 9. The moist conditions factor is the most important control on plagioclase porosity (beta = 0.97, significant to the 0.00 level). The other two factors are less important in the determination of plagioclase porosity, and the regression coefficients are much less significant as well. DISCUSSION The results of this analysis agree with those reported in Brady et al. (1999). The lichens enhance the rate of dissolution of plagioclase by an order of magnitude (Table 3). Therefore, the use of multivariate statistical analysis did not alter the fundamental result of the previous study that employed activation energies. This falls into the extreme lower end of the range of published lichen enhancement values (from an order of magnitude [Jackson and Keller, 1970; McCarroll and Viles, 1995]) to 2–3 orders of magnitude (Schwartzman and Volk, 1989). The generally small enhancement supports the ideas of Berner (1992) and Cochran and Berner (1993) that vascular plants, not lichens, drive global carbon dioxide cycling as a result of enhanced silicate weathering. The results also underscore the conclusions of Wasklewicz et al. (1993) and Waskelwicz (1994) that the presence of lichens on CHEMICAL WEATHERING 79 Hawaiian lava flows is instrumental in determining the nature and order of chemical weathering of component minerals. Lichens are important weathering accelerators in other contexts. The above results reinforce the importance of biotic acceleration of dissolution rates of building stones (e.g., Saiz-Jimenez, 1999) and nuclear waste glasses (e.g., Staudigel et al., 1995). While vascular plants may play a stronger role in weathering enhancement in a carbon cycle context, it is more likely that a lichen, not a vascular plant, will adopt a statue, fresco, upright cemetery stone, or glass host in a federal waste repository as a growth substrate. Lichens therefore represent the highest order organisms that would probably subject building stones and nuclear waste glasses to biotic acceleration of dissolution. Colder, higher elevation locations resulted in lower rates of weathering while low elevation, warmer locations resulted in more rapid rates. Brady et al. (1999) found that higher temperatures favor weathering. This agrees with published results from the field (e.g., Velbel, 1993) and the laboratory (e.g., Welch and Ullman, 2000). The advantage of the statistical approach is that we know that the high elevation/low temperature factor in the regression had a negative effect on rate, most notably in the abiotic data matrix. Because the factor contained variation in both temperature and elevation, we can conclude that temperature, as it varies with elevation, outweighs other factors not specifically named that vary with elevation (e.g., insolation, temperature range) in the determination of dissolution rate. In other words, we know that in this case, the expected increase in insolation with elevation (and therefore expected increase in weathering rate with elevation) is overshadowed by the expected decrease in temperature (and therefore expected decrease in dissolution rate). Higher elevations typically experience increases in physical weathering, which may also lead to increased chemical weathering by exposing fresh surfaces to weathering solutions. This study uses porosity values that are the result of an attempt to avoid porosity created from physical weathering, while acknowledging that this is difficult to do. The results show, however, that the increased physical weathering that is expected at higher elevations does not increase chemical weathering rates enough in this setting to overcome the effect of warmer temperatures at lower elevations. The above two types of results are extremely useful in mapping weathering potential of real-world locations. The abiotic and biotic analyses show the importance of moisture in increasing weathering rates. This is also in agreement with the results of Brady et al. (1999). The importance of water in weathering is underscored in arid environments (Roth, 1965; Pope et al., 1995) and the same importance may be applied here. Special attention may be paid to the observation that in biotic conditions, the “moist conditions” factor is clearly more important to weathering rate than age or elevation/ temperature. Brady et al. (1999) suggested possible reasons for this, including: (1) water availability maximizes secretion of organic acids or hyphal activity, (2) lichens increase water retention in pore spaces, and (3) the complexing ability of organic acids to remove dissolved mineral components from the weathering solution. Additionally, because lichens can survive extended periods of desiccation and reabsorb water and swell when wet (Saiz-Jimenez, 1999), areas of greater moisture 80 STEVEN J. GORDON may facilitate intensified physical weathering from shrink/swell. This physical action may then create fresh surfaces for accelerated dissolution. The significance of physical weathering in accelerating chemical weathering is discussed by Hoch et al. (1999). The results of the statistical analysis reveal that the age of the lava flow is a factor in the determination of lichen-free dissolution of plagioclase, but is not a significant factor in the lichen-covered rate. This expands upon the findings of Jackson and Keller (1970) who reported that a range of <100 years among different flows resulted in no perceptible dependence of the rate of basalt weathering underneath lichens. Logic suggests that weathering will be more pronounced in materials that have been exposed to the subaerial environment longer. This is not the case in the lichen-mediated dissolution matrix. It appears that moisture availability is such a robust factor for these settings that the range of ages of the flows (all within ~1000 yrs of each other) is negligible, and that it is only where moisture is not as crucial (in the lichen-free settings) that age variation exerts an influence. This addresses the importance of lichens in the weathering environment. This result may, however, be the result of sampling flows within a very narrow range of ages. It is probable that a similar analysis performed on a dataset with a greater range of ages would not replicate this result, but rather show that lava flow age is a significant factor in determining weathering rate. This underscores the utility of the statistical approach, in that the method allows data from a narrow range of ages to be effectively and “safely” co-mingled without invalidating the overall result. It also allows the age of samples, in a context where the samples come from a large rage of ages, to contribute vigorously to the determination of weathering rate in relation to simultaneous variation in other weathering factors (moisture, temperature, etc.). The suite of multivariate statistical analyses employed in this project (principal components analysis, multiple regression) appears to be a valid and useful method of modeling the spatial variability of chemical weathering of plagioclase, and an alternative to methods that require control (constant) variables. Studies of weathering of earth materials generally follow a form necessary for their application. The “geochemical” approach to weathering analysis, driven by the need to cast environmental variables in a form usable by climate models, are generally not directly comparable or applicable to studies that address landscape processes in the context of qualitative models, such as Pope et al. (1995). This paper outlines a method to address this lack of applicability. Application of multivariate statistics provides a quantitative expression of the impact of several weathering factors on weathering rates as they vary simultaneously. This equation is suitable for use in raster-based analysis (Geographic Information Systems) of a given area in a way that is difficult for geochemical studies. It may be possible to apply results of multivariate modeling to the development of a multi-layered array for a given area, perhaps of Hawaii Volcanoes National Park. Each layer of the array would contain information on an individual weathering factor (insolation, age, elevation, etc.) whereby the value of each pixel in the raster layer is the average value of that factor (e.g., 2345 m elevation, 3030 years B.P., etc.). Such an array could then be easily transformed into a map of CHEMICAL WEATHERING 81 weathering rate, based upon mathematical operations. The logical extension for further research is then to field-test the model for Hawaii or any other given area. CONCLUSION Conceptual models which seek to address the simultaneous effects of many environmental factors on weathering rates, such as outlined by the Pope et al. “Boundary-Layer Model” (1995), suffer from an inability to quantify these influences. Indeed, the closing sentences of that work contain an invitation to weathering researchers to refine the model. The multivariate approach outlined in this work offers the possibility of converting the Pope et al. model into a quantitative equation useful for empirical study and for geospatial modeling and mapping. Further, the results of this project show that the technique derives results that do not differ substantially from those obtained using the same dataset via geochemical-based analyses. The results of this study are as follows. (1) Lichens enhance the rate of chemical weathering of plagioclase in Hawaiian basalts by an order of magnitude. (2) Cooler, higher elevation environments experience slower chemical weathering, whereas warmer, lower elevation conditions result in more rapid chemical weathering. (3) Moisture availability has a strong influence in determining chemical weathering rate, especially for weathering in the presence of lichens. (4) Moisture availability may overshadow the effects of other variables, such as age, elevation, and temperature. 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