Reprinted from SOIL SCIENCE Vol. 92, No. 2 August, 1961 Copyright © 1961 by The Williams & Wilkins Co. Printed in U.S.A. VARIATION IN pH AND BUFFERING CAPACITY OF THE ORGANIC LAYER OF GREY WOODED SOILS H. VAN GROENEWOUD Canada Department of Agriculture' Received for publication December 13, 1960 During a study of the pH of forest soils in the Candle Lake area of Saskatchewan, some particular problems involving a wide variation of pH and buffering capacity, were encountered. This led to experiments on the effects of sample size, variation of buffering capacity, and seasonal pH fluctuations on the frequency distribution of pH. DESCRIPTION OF SOILS AND METHODS The soils studied belong to the grey wooded (podzolic) soils as described by Moss and St. Arnaud (7). The pH of the soil was determined in the field, or within a few hours after sampling in the laboratory, using a Beckman pH meter with a combination glass electrode. The samples were prepared as a soil paste according to Doughty's method (4). In order to study the frequency distribution of pH values in individual soil layers, the acidity of 100 small and 100 large samples (approximately 3 cc. and 60 cc., respectively), taken at random from the F, H, and A soil layers within a 50 x 50 foot area, was determined at 20 different sites. Titration curves were constructed from data obtained by titrating samples of approximately 1 g. with 0.02 N HC1 and KOH. The results were calculated on a basis of 10 g. oven-dry (105°C.) weight. Buffering in each soil layer was studied by measuring the pH of individual 1-g. samples, and remeasuring the pH after a thorough mixing of different numbers (2 or 20) of these samples. The measured pH of the mixed sample was then compared with the calculated average. Data converted to ion concentrations were used to calculate the averages. Three soil layers at five 1 Contribution No. 703, Forest Biology Division, Research Branch, Canada Department of Agriculture, Ottawa, and No. 66, Research Station, Canada Department of Agriculture, Saskatoon, Saskatchewan. 100 different sites were tested. The difference between the measured and the calculated pH appears to be a useful indicator in the study of buffering for pH. The pH of large composite samples (composed of 20 samples of 60 cc. each, taken at random within each sample plot from each soil layer) was measured at different times during the growing season. Each composite sample was thoroughly mixed and left for a suitable time (24 hours) to attain equilibrium before measuring the pH. RESULTS AND DISCUSSION In several sites, a remarkably wide range of pH (frequently 4-8.5) was found within each soil layer when sampled at the same time. It was even more significant that large differences in pH occurred within areas as small as a few square inches (table 1). This can result in variation in measured pH, with changes in sample sizes. Furthermore, buffering capacity can affect the mean pH and the frequency distribution, as will be shown later. Samples collected close together showed wide variation in behavior on titration with bases and acids (fig. 1). These titration curves, however, are considered to give only an indication of the buffering capacity, as the latter can not very well be derived in this way because of adsorption and other phenomena. Among other things, chelation reactions can occur (1), and the use of different bases or acids can result in different titration curves (8). The curves could not be used to calculate the pH of mixed samples. The experiments in which two individual 1-g. samples were mixed also showed differences between buffering capacities of small samples from the same soil layer (table 2). The same was true when 20 individual 1-g. samples were mixed (table 3). In the tables, the differences between measured and calculated averages are in pH units, and, as they occur at different places in the pH pH OF GREY WOODED SOILS range, they are not strictly comparable. With this in mind an extra column was added to the table to show the equivalent differences in hydrogen ion concentration. In every instance the measured pH was higher than the calculated one. This indicates that the sample with the higher pH value also had a higher buffering capacity than the sample with the lower pH. If the different buffering capacities were distributed at random between higher and lower pH samples, this would tend to decrease the differences between measured and calculated pH in the large composite samples. It is evident from these experiments that not only can there be a wide range of pH among small samples of one soil layer, but that the buffering capacity of the soil can be equally variable. The use of different sample sizes in the measurement of pH can result in quite different range and form of distributions, if the buffering TABLE 1 pH of pairs of samples taken less than 1 inch apart, from F or H horizons 5.- and 6.4 4.2 and 5.8 4.5 and 5.2 4.6 and 5.6 5.- and 6.3 5.1 and 6.3 5.2 and 6.5 4.9 and 7.5 4.8 and 6.5 6.2 and 7.1 5.7 and 7.3 6.- and 7.4 5.4 and 6.6 5.2 and 6.2 5.2 and 6.5 6.2 and 7.4 6.1 and 7.8 4.4 and 6.2 Calculated with pH data converted to ion concentrations. 101 capacity of the soil is variable. This effect is shown in figures 2 and 3. Figure 2 represents the theoretical frequency distribution of the pH of a series of mixed samples determined by calculating the mean of the pH of the samples, assuming uniform buffering capacity of the soil and disregarding other phenomena. Figure 3 shows the distribution of the same series but includes the effects of differences in buffering capacity. Comparison of the two distributions shows the tendency of the heterogeneous buffering to decrease the range of the pH and to produce a distribution with a high concentration in one class, with a slight shift of the range and the mode towards a higher pH. This effect may lead to misinterpretation; as a rule, sample sizes for pH measurements are very indefinite and are seldom mentioned in literature. Within a series, individual samples which are not equal in size can severely affect the distribution curve. The plotting of the pH of small samples from 20 different sites and each of 3 soil horizons, resulted in many different forms of frequency distributions. There seems to be some dispute as to which way pH data should be treated for statistical analysis. Daubenmire (3) suggested the transformation of pH data to hydrogen ion concentrations or equivalent arithmetical values before calculating the means. This is in order, as pH values are logarithmic values and should be treated as such. Shiue and Chinn (9) pointed out, however, that the frequency distributions of hydrogen ion concentrations show extreme 11 10 9 8 7 6 5 4 0 0 150 C.C. 1 50 N. HCL. 100 50 0 50 C.C. 100 150 1/50 N. KOH. Fro. 1. Titration curves of two humus samples (H-horizon). 102 VAN GROENEWOUD TABLE 2 Effect of differences in buffering capacity of single samples on the pH of two samples mixed Average of Mixed Samples pH of Samples* (1) (3) (5) (7) (9) (11) (13) (15) (17) (19) 5.0 4.8 4.9 4.6 4.1 4.6 4.4 4.6 4.4 4.5 (2) (4) (6) (8) (10) (12) (14) (16) (18) (20) 6.3 6.0 6.9 6.6 6.1 6.1 6.0 5.8 5.9 6.1 Differences Hydrogen ion Calculatedt Measured pH units concentration 5.3 5.1 5.2 4.9 4.4 4.9 4.7 4.9 4.7 4.8 5.7 5.4 5.3 5.4 5.2 5.4 5.4 5.4 4.9 5.9 0.4 0.3 0.1 0.5 0.8 0.5 0.7 0.5 0.2 1.1 30 40 13 85 337 85 160 85 75 147 * Sample number in parentheses. t Calculated with pH data converted to ion concentrations. g. ions/liter X 108. skewness. As the frequency distributions which they studied approached normal distributions more closely than the corresponding distribution of the hydrogen ion concentrations, they proposed to retain pH values as such, without transformation, for statistical analysis other than finding sample means. They only investigated, however, the pH distributions of three soils. In the present study several distributions were found which departed far from normality. They could not be regarded as approaching normal distribution through the functioning of the central limit theorem, as in the case of Shiue and Chinn Both positively and negatively skewed distributions were found. As a consequence, transformation of data to normalize frequency distributions cannot be employed, especially where comparisons have to be made with small numbers of measurements. Before attaching too much value to the normality of the frequency distribution as affected by sample size and buffering capacity, the effect that seasonal pH fluctuations (2, 6) can have on frequency distributions should be shown. Figures 4 and 5 show frequency distributions from the same plot and the same soil layer in, respectively, August, 1958, and May, 1959. It is evident that the pH did not change to the same extent throughout the soil. It seems that the less the buffering for pH at a certain point in the soil, the greater was the change in pH. Possibly the pH increases again during the winter by diffusion of certain ions. The remarkable similarity of pH distribution curves of measurements of large samples taken in the spring and the fall (figs. 6 and 7), plus the fact that sample size practically had no effect on distribution curves in the spring (figs. 5 and 6), are in support of the forementioned thesis. The foregoing shows that any one distribution taken at a certain time of the year cannot be compared statistically with a distribution from another site taken under different circumstances at another time; unless these changes can be taken into account the distribution loses much of its statistical value. An attempt was made to find a method of measuring pH which would give a value not subject to seasonal fluctuations and which would lend itself to comparison of pH for different sites. The pH of large composite samples appeared to solve the above-mentioned difficulties. When this method was used, pH fluctuations within one soil layer measured through one entire season amounted to less than 0.2 pH unit. The mean pH, measured on large composite samples, therefore, constitutes the only statistic that is not subject to much variation due to sample size, variation in buffering capacity, or seasonal fluctuations. It can be used directly in statistical analysis if the values are normally distributed; if not, suitable transformations have to be used. The "measured mean pH" does not, however, supply information on the range of pH within a forest site. To obtain this information, 100 measurements were taken at random within each TABLE 3 Effect of differences in buffering on pH of mixed samples (20 samples mixed) Averages Sample Series 1-20 21-40 41-60 Differences Calculated* Measured pH units Hydrogen ion concentrationt 4.35 4.47 4.9 4.85 4.8 4.97 +0.50 +0.33 +0.07 +300 +160 + 20 * Calculated with pH data converted to ion concentrations. t g. ions/liter X 107. pH 103 OF GREY WOODED SOILS 30 a. 20 n/-n IL 0 10 0 z 0 0 4. 4.5 5 5.5 pH 6 FIG. 2. Frequency distribution of calculated means. 70 60 50 20 10 0 0 5.5 5 4.5 6 pH F IG. 3. Frequency distribution of measured means. 20 15 L.L. 10 0 0 4 5 6 7 8 9 pH FIG. 4. Frequency distribution of the pH of 100 small samples collected in the fall of 1958. sample plot on small samples of each soil horizon. It is usually impossible to calculate the standard error of each site, as has been done in some statistical analyses (5), because the "measured mean pH" is located eccentrically in most of the pH ranges of the soils. In the analysis of the pH data of grey wooded soils then, the maximum, the minimum, and the "measured mean pH" have to be treated separately, which increases considerably the burden of calculation. SUMMARY Sample size can be important in pH determinations, and care should be taken in the choice of size for any particular study, as this can affect the shape of pH distribution curves. Heterogeneous buffering for pH in soils can be an important factor which should be considered in choosing sample size. Frequency distributions of pH are not always normal or near normal. Care should be taken to evaluate the fore- ▪ 104 VAN GROENEWOUD 40 35 30 — 25 0 0 6 LL 20 15 10 5 4 7 6 8 9 pH F IG. 5. Frequency distribution of the pH of 100 small samples collected in the spring of 1959 (same site, same soil horizon as fig. 4). 50 40 0 30 •-^ 20r 0 0 7 5 4 8 pH FIG. 6. Frequency distribution of the pH of 100 large samples collected in the spring of 1959 (same site, same soil horizon as figs. 4 and 5). 40 0J 30 20 LL 0 0 3 sj 4 pH F IG. 7. Frequency distribution of the pH of 100 large samples collected in the fall of 1958 (same site, same soil horizon as figs. 4, 5, and 6). mentioned factors so that they can be taken into account in the statistical analysis wherever this is deemed necessary. (e) It is suggested that the measured pH of large composite samples should be used as the mean pH, instead of the calculated average of the pH of small samples, and that the maximum and minimum pH be used instead of calculated standard deviations. (f) The foregoing applied especially to the organic layer of the grey wooded soils. REFERENCES B ECKWITH, R. S. 1959 Titration curves of soil organic matter. Nature 184: 745-746. B OWSER, W. E., AND L EAT, J. N. 1958 Seasonal pH fluctuations in a grey wooded soil. Can. J. Soil Sci. 38: 128-133. pH OF GREY WOODED SOILS R. F. 1950 Plants and Environment. J. Wiley & Sons, Inc., New York. DOUGHTY, J. L. 1941 The advantages of a soil paste for routine pH determinations. Sci. Agr. 22: 135-138. HANSEL, H. 1959 Die Verwendung der Variationsbreite bei der Schiitzung der Standardabweichung und bei der Varianzanalyse ungeordneter Blockanlagen, sowie eine weitere Vereinfachung des Hartey's Verfahren durch directe Bestimmung von Grenzdifferenzen. Die Bodenkultur 10: 148-158. MANNIGER, E. 1957 Untersuchungen fiber DAUBENMIRE, 105 die bodenbiologischen bedingten periodischen Reaktions - Schwankungen der Waldboden. Acta Agronomica (Budapest) 7: 217-228. Moss, H. C., AND ST. ARNAUD, R. J. 1955 Grey wooded (podzolic) soils of Saskatchewan, Canada. J. Soil Sci. 6: 293-311. SCHEFFER, F., AND ULRICH, B. 1960 Humus und Humus diingung. Lehrbuch der Agrikulturchemie und Bodenkunde, III Teil, Band I. S75. C-J. AND CHINN, N. L. 1957 Direct use of pH values in statistical analysis of soil reactions. Soil Sci. 84: 219-224.
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