1 RELATIONSHIPS BETWEEN SOIL NUTRIENT AVAILABILITY 2 AT THE TREE SCALE 3 WITH 4 DENDROCHRONOLOGICAL TREE GROWTH 5 6 PAUL R. SHEPPARD1,3 7 PERE CASALS2 8 EMILIA GUTIÉRREZ1 9 10 1 Departament d'Ecologia and 2Departament de Biologia Vegetal 11 Universitat de Barcelona 12 08028 Barcelona España 13 14 3 Current address: 15 Laboratory of Tree-Ring Research 16 The University of Arizona 17 Tucson, AZ 85721 USA 18 office: (520) 621-6474 19 fax: (520) 621-8229 20 sheppard@ltrr.arizona.edu 21 22 23 Submitted for review for the Proceedings of the 9th North American Forest Soils Conference Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 24 25 2 ABSTRACT The objectives of this research were to demonstrate the potential role of soil nutrient availabil- 26 ity in explaining dendrochronological variation at the tree level and to assess the usefulness of 27 ion-exchange resins (IER) in dendrochronological research. Our 0.2-ha study site in the central 28 Spanish Pyrenees had an open montane to subalpine forest of Pinus uncinata Ram. and soils that 29 are generally shallow (<0.5 meters deep), dark brown, and sandy loamy in texture. We collected 30 two increment cores from 20 mature trees with which we constructed a time series of relative 31 growth for each tree. We buried within the root zone of each sampled tree one IER capsule, 32 which resided in the soil for 247 days. We extracted the resins and measured solutions for am- 33 monium, nitrate, phosphate, calcium, and potassium. We then searched for statistical relation- 34 ships between soil nutrient availability and indexed tree growth. 35 Both forms of nitrogen were highly variable spatially, and the pattern of nitrate variability was 36 related to geomorphic hillslope position. The single most important soil nutrient with respect to 37 decadal-scale dendrochronological tree-growth variables in this study was nitrogen, as nitrate 38 availability explained 32% of variation of average growth since 1970 and 22% of variation of 39 trend in growth since 1950. The 20 measured nitrate availability values fall into two clear sub- 40 groups, one of nine trees with high nitrate availability and the other of 11 trees with low nitrate 41 availability. When the tree-growth data are grouped based on nitrate availability, the two result- 42 ant index chronologies since 1950 have different low-frequency features, i.e., trees with low ni- 43 trate availability are growing normally but trees with high nitrate availability are growing better 44 than expected. Possible mechanisms of nitrate variation since 1950 include light tree harvesting, 45 grazing, and regional-scale air pollution that includes forms of nitrogen. Regardless of the 46 source of extra nitrogen, soils probably play an important role in mediating nutrient availability Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 3 47 at the tree level. This research approach of analyzing soil nutrient availability in dendrochronol- 48 ogy might apply well in studies of forest sites that are clearly impacted by an obvious source of 49 air pollution. 50 Measuring and analyzing soil nutrient availability at the tree level can substantially enhance 51 environmental applications of dendrochronological research. IER is clearly an excellent method 52 for measuring soil nutrient availability, and we recommend wide use of IER for measuring soil 53 nutrient availability at the tree level in dendrochronological research of environmental topics. 54 55 Keywords: dendrochronology, soil nutrient availability, ion-exchange resins, environmental sci- 56 ence 57 Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 58 59 60 4 INTRODUCTION An underlying basis for virtually all paleoenvironmental applications of dendrochronology is the linear aggregate model (Cook, 1987): Rt = At + Ct + D1t + D2t + Et (1) 61 where t indicates time in calendar year and R is the observed time series of ring width (or more 62 broadly, any ring-growth variable) of a tree, which can be explained by some combination of 63 variation related to age or size of the tree (A), climate (C), endogenous or local disturbances (D1, 64 such as gap-phase dynamics, Spurr and Barnes, 1980), and exogenous or stand-wide disturb- 65 ances (D2, such as insect epidemics, Fritts and Swetnam, 1989), plus an error term (E) for varia- 66 tion in R that cannot otherwise be explained with available observations or data. 67 Clearly, a general strategy in dendrochronology is to optimize the explained variance in Rt 68 with the predictor terms of the linear aggregate model and thereby maximize the paleoenviron- 69 mental interpretability of ring-growth data. For example, age- or size-related variation is ac- 70 counted for by standardizing measured values (Fritts, 1976) as follows: It = Rt / At (2) 71 where It is the time series of dimensionless indices with a mean of 1.0 and stationary variance 72 through time, and At (same as in Equation 1) is a tree-specific growth curve of expected ring- 73 width values empirically estimated from the measurement data. Additionally, in studies of past 74 climate the effects of disturbance (D1t and D2t) are effectively reduced by sampling only trees 75 without outward evidence of disturbance. Or, in studies of past forest disturbance the effects of 76 climate (Ct) are accounted for first to better elucidate ring-growth responses to the type of dis- 77 turbance under study. Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 78 5 Dendrochronologists continually try to decrease the error term of the linear aggregate model 79 (Et), and one way of improving the model is to add additional explanatory terms. Clearly, one 80 such additional term could relate to the quality of soil, which provides moisture and nutrients for 81 tree growth and which varies at virtually all spatial scales (Arnold and Wilding, 1991). Indeed, 82 Cook (1987, p. 43) specifically included soil characteristics as part of Et. Little past dendro- 83 chronological research has included detailed soil information, and those investigations that have 84 mentioned soil typically have provided only a general survey description of soil for the entire 85 site. Site-level soil information cannot improve the linear aggregate model because the model 86 applies at the tree level. 87 Soil moisture is accounted for at the tree level in the linear aggregate model by the climate 88 term. For example, available moisture may be considered as precipitation and/or temperature- 89 driven evaporation as regulated by soil. That leaves soil nutrient availability, which can vary 90 dramatically in soils across short distances (Beckett and Webster, 1971; George et al., 1997) so 91 that neighboring trees might be growing in soils of substantially different quality. Adding this 92 variation at the tree level to the linear aggregate model could significantly increase its predictive 93 power and consequently improve the interpretability of a dendrochronology. Accordingly, the 94 primary objective of this research was to demonstrate the potential role of soil nutrient availabil- 95 ity in explaining dendrochronological variation at the tree level. 96 A key facet of this research is accurately measuring soil nutrient availability for each tree in a 97 dendrochronological study. One reasonable way to do this is to bury ion-exchange resins (IER) 98 in the soil of the root zone of each tree and to leave them buried for some period of time to ab- 99 sorb ionic forms of nutrients from soil. Later, after recovering the IER and performing standard 100 chemical laboratory procedures on them, relative soil nutrient availability is known (Yang et al., Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 6 101 1991). This technique has been used extensively in general forest soils research (Skogley and 102 Dobermann, 1996), but we know of no prior dendrochronological research using IER. Accord- 103 ingly, secondary objectives of this research were to assess the usefulness of IER in dendrochron- 104 ological research and to begin defining field protocols for its wider use in tree-ring studies. 105 106 METHODS Study Site 107 Our study site is located in the central Spanish Pyrenees and is adjacent to the Sant Maurici 108 Reservoir of the Aigüestortas and Sant Maurici Reservoir National Park of Catalunya (42°30" N, 109 1°30" E, 2000 m elevation). Topography throughout the park is typically extreme with very 110 steep hillslopes, but we located a 0.2-ha study site that had a moderately sloped (up to 30° slope 111 angle) subsite and an adjacent flat subsite. These subsites allowed for studying the influence of 112 topography and geomorphic position on the relationship between soil nutrient availability and 113 dendrochronological tree growth. 114 The forest type is moderately open (~200 trees/ha) upper montane to subalpine conifer with 115 Pinus uncinata Ram. as the dominant overstory tree species and Vaccinium spp. and grasses as 116 the understory and ground cover species. A cursory field survey of the soils indicated that they 117 are generally shallow (<0.5 meters deep), dark brown, and sandy loamy in texture with abundant 118 cobbles and weak structure. Weather records at the nearby town of Esterri indicate that climate 119 of this site is mesic (mean annual precipitation of 614 mm, evenly distributed across all months 120 of the year) and cool (mean annual temperature of 5° C). 121 Field Sampling 122 Trees Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 123 7 In October 1996, we subjectively selected ten mature trees per subsite that were within several 124 meters of nearest-neighbor trees (Figure 1a). This resulted in a nearly complete sampling of the 125 mature trees that did not have outward signs of disturbance (e.g., growth scarring, irregular 126 crown form). We collected two increment cores along opposing radii of each tree; for trees in 127 the steep subsite, the opposing radii were parallel to the slope contour. We also recorded the lo- 128 cation and topographical microsite conditions of each tree. 129 Soils 130 For each sampled tree we buried one IER capsule (UNIBEST PST-1 capsules, Bozeman, 131 Montana) within the root zone (1-2 meters from the trunk). We buried the capsules to as uniform 132 a depth as possible given microsite patterns of cobbles and boulders in the soil, typically 10-15 133 cm deep, where we presumed tree roots to be most prolific (Hart and Firestone, 1989). The soil 134 particles removed while digging with a hand trowel were placed back into the hole over the cap- 135 sule. We strove to ensure complete contact between the capsules and the surrounding mineral 136 portion of the soil (Gibson, 1986; Skogley et al., 1996). In May 1997, we retrieved the IER cap- 137 sules, which had resided in the soil for 247 days spanning autumn, winter, and the first half of 138 spring, a time period that can be important with respect to nutrient availability (Giblin et al., 139 1994). We lightly rinsed capsules with de-ionized water in the field (Giblin et al., 1994) and 140 stored them individually in marked plastic bags (Skogley et al., 1997). 141 Laboratory and Quantitative Analysis 142 Trees 143 We air dried and glued all increment cores into grooved sticks with the transverse wood sur- 144 face facing up (Phipps, 1985). We sanded the cores with successively finer wood abrasives to 145 expose ring details at the cellular level (Stokes and Smiley, 1968). We crossdated the entire site Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 8 146 collection of cores by matching patterns of relatively wide and narrow rings as well as other ring 147 features (e.g., latewood color, frost damaged cells) to account for the possibility of ring-growth 148 anomalies such as missing or false rings (Douglass, 1941). We then assigned year dates of for- 149 mation to all rings back in time beginning with the known year of 1996 for the outermost ring. 150 We measured the width of all dated rings to ±0.01 mm and checked the quality of the data for 151 dating and measurement errors using cross-correlation testing at multiple time lags (Program 152 COFECHA, Holmes, 1983). These data are now archived in the International Tree-Ring Data 153 Bank (Grissino-Mayer and Fritts, 1997). We then averaged the measured values for each year 154 held in common by both cores of each tree into a single time series for each tree. To remove the 155 age- and/or size-related growth trends from these time series, we divided measured values by 156 curve fit values (At of Equation 2) for each tree. We selected a cubic-smoothing spline for this 157 step, and in particular we chose the spline whose flexibility left 75% of the variation at the 100- 158 year period in the resultant index series (Cook and Peters, 1981). This strategy allowed for anal- 159 ysis of trends in tree growth up to 50 years in length. 160 Soils 161 We extracted all ions absorbed by the IER in three steps using 20 ml of 2 M HCl agitated for a 162 total of one hour (Dobermann et al., 1997; Skogley et al., 1997). This resulted in a 60-ml solu- 163 tion for each tree. We then measured the solutions for ammonium and nitrate (colorimetry), 164 phosphate (visible spectrometry), calcium (atomic absorption spectrometry, Wright and Stuczyn- 165 ski, 1996), and potassium (flame emission spectrometry, Wright and Stuczynski, 1996). 166 Soil Nutrient Availability and Tree Growth 167 We searched for quantitative relationships between (1) soil nutrient availability and (2) aver- 168 ages and trends of indexed tree growth using correlation and multiple regression tests as well as Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 9 169 time-series and bivariate plots. We were interested primarily in analyzing relative tree growth of 170 the 20th century, but we had no a priori idea of what time frame to focus on. Consequently, we 171 calculated the average growth index and trend in growth indices for each tree beginning from 172 1900 to present, then from 1910 to present, etc., to find the point in time for which soil nutrient 173 availability correlates significantly with tree growth. 174 RESULTS 175 The majority of total available nitrogen came from nitrate, which was nine times more availa- 176 ble than ammonium and supplied 2.4 times more nitrogen that ammonium supplied (Table 1). 177 Both forms of nitrogen were highly variable spatially, each with a coefficient of variation greater 178 than 100% across our 20 trees. In contrast, phosphate was relatively unavailable and less varia- 179 ble. Calcium and potassium were also less variable, each with a coefficient of variation less than 180 80%, and they were more available than phosphate but less so than the nitrogen forms. 181 All correlations between pairs of nutrients were positive (Figure 2). The nitrogen forms cor- 182 related significantly with one another, and the spatial variation of total nitrogen was virtually 183 equal to that of nitrate alone. Phosphorus correlated weakly with the other nutrients. Calcium 184 and potassium correlated strongly with each other and with nitrate, but they correlated weakly 185 with ammonium. 186 Our sequential search for quantitative relationships between soil nutrient availability and den- 187 drochronological values of recent tree growth found that the average growth index since 1970 188 and the trend in growth indices since 1950 have the strongest statistical models. In both cases, 189 the best one-variable model by far uses nitrate as the predictor to explain 32% of variation of av- 190 erage growth and 22% of variation of trend in growth (Figure 3). Both models are significant 191 and have normally distributed residuals that have no pattern related to predictor or predicted val- Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 10 192 ues. These two models are not independent of one another, as average growth since 1970 corre- 193 lates strongly (r = +0.88) with trend in growth since 1950. 194 The 20 measured nitrate values fall into two clear subgroups, one of nine trees with more than 195 10 µg/day/IER capsule and the other of 11 trees with less than 5 µg/day/IER capsule (Figure 4). 196 The trees of each nitrate subgroup fall almost equally across both subsites, but the majority of 197 trees with high nitrate (seven of nine) are growing either in the lower half of the steep subsite or 198 in the half of the flat subsite that is adjacent to the margin of the two subsites (Figure 1). 199 When the dendrochronological data are subdivided into two subsets based on nitrate availabil- 200 ity, the two resultant index chronologies (average of all trees within each site or subsite, Fritts, 201 1976) since 1950 correlate strongly with one another (r = +0.78) but have different low- 202 frequency features (Figure 5). The chronology composed of high-nitrate trees has an average 203 index value since 1970 that is significantly above the mean of 1.0, and it has a significantly posi- 204 tive slope since 1950 (Figure 5a). By contrast, the chronology of low-nitrate trees has an average 205 index value since 1970 that is not significantly different from 1.0 and a negative slope since 1950 206 that is not significantly different from zero (Figure 5b). The full-site chronology using all 20 207 trees also has an average index value since 1950 that is not significantly different from 1.0 and a 208 slope since 1950 that is not significantly different from zero (Figure 5c). 209 A best-subsets regression analysis using all nutrients as candidate predictors showed that 210 phosphate and potassium explain additional variation beyond that explained by nitrate for aver- 211 age growth since 1970 and trend in growth since 1950 (Table 2). Both 3-variable models are 212 significant and have high R2 values. In both cases, the coefficients for phosphate and potassium 213 are negative; coefficients for phosphate are significant, but those for potassium are not. 214 DISCUSSION Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 215 11 Soil Nutrient Availability 216 Soil processes that affect nutrient availability do so similarly to at least some degree for all 217 nutrients, as indicated by the result that all bivariate pairs of nutrients correlate positively. For 218 example, physical characteristics such as depth, texture, structure, porosity and permeability, and 219 color as well as chemical characteristics such as pH and concentration gradients probably affect 220 the availability of all nutrients measured in this study (Pritchett and Fisher, 1987). 221 However, as part of the nitrogen cycle, nitrate and ammonium availability are also affected by 222 soil microbial activity that does not directly affect the other nutrients (Brady, 1974). Thus, it is 223 reasonable that nitrate and ammonium availability correlate strongly with one another but typi- 224 cally more weakly with the other nutrients. In particular, the lack of a biological component in 225 the cycling of calcium and potassium may cause them to correlate only weakly with ammonium, 226 the cation form of nitrogen. Similarly, phosphorus cycling lacks a direct biological component 227 as well as an abundant atmospheric source (Pritchett and Fisher, 1987), both of which may ex- 228 plain why phosphate correlates only weakly with nitrate, the anion form of nitrogen. The greater 229 mobility of nitrate in soil probably accounts for its much greater availability than that of ammo- 230 nium (Hart and Binkley, 1985). 231 The influence of the biological component in nitrogen cycling may be the origin of the high 232 variability in nitrate and ammonium availability. Soil microbial activity, for example, is affected 233 by moisture and temperature (Adams et al., 1989), which can vary at microsite scales in forest 234 soils due to variation in tree canopy and litter layer patterns (Pritchett and Fisher, 1987). Thus, it 235 is reasonable that the coefficients of variation exceed 100% for both nitrogen forms. Conversely, 236 the physical and chemical processes that affect the other nutrients are probably more uniform, Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 12 237 both spatially and especially temporally, so it is also reasonable that the coefficients of variation 238 of phosphate, calcium, and potassium are lower than those of the nitrogen forms. 239 It is impossible to know for certain from our data if the spatial pattern of nutrient availability 240 that exists today has existed for the last few decades. Perhaps future research using dendrochem- 241 ical analyses (Lewis, 1995) to determine elemental concentrations in dated tree rings could help 242 in this regard, though it appears that tree-ring nitrogen concentration in particular is not inter- 243 pretable for environmental availability of nitrogen at the time of ring formation (Poulson et al., 244 1995). For now, we must assume that the geological Principal of Uniformitarianism, which as- 245 serts that patterns of environmental processes (e.g., spatial variation in relative soil nutrient 246 availability) are the same now as they were in the past (Bates and Jackson, 1984), applies at our 247 dendrochronological site for at least the last few decades. 248 Soil Nutrient Availability and Dendrochronological Tree Growth 249 The single most important soil nutrient with respect to decadal-scale dendrochronological 250 tree-growth variables in this study was nitrogen. Regardless of the origin of the spatial variation 251 in nitrate availability, trees with currently higher nitrate have been growing better since 1950 252 than trees with less nitrate, conforming to extensive forest-soils research that has shown nitrogen 253 typically to be the macronutrient most limiting to tree growth (Binkley and Hart, 1989). In par- 254 ticular, nitrogen is often deficient in coniferous forests with cool climates (Pritchett and Fisher, 255 1987), such as our study site. 256 Even stronger soil nutrient-tree growth relationships are possible when phosphorus and potas- 257 sium enter with nitrogen in multivariate regression models. It is difficult, however, to rationalize 258 the negative signs of the coefficients for phosphorus and potassium, especially for phosphorus, 259 which is often deficient for tree growth (Pritchett and Fisher, 1987). Potassium is thought to be Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 13 260 adequately plentiful in most forest soils (Pritchett and Fisher, 1987), possibly explaining its weak 261 role in our multi-nutrient tree growth models. The differing signs of the coefficients make it dif- 262 ficult to combine nitrogen, phosphorus, and potassium into a single indicator of important nutri- 263 ent availability with which to independently distinguish between trees within the site. 264 The two groups of trees with high- versus low-nitrate availability transcend our original sub- 265 groups of flat versus steep subsites, and instead they follow a pattern more related to geomorphic 266 hillslope position. Most of the high-nitrate trees are in or near the backslope-footslope (Hall and 267 Olson, 1991) transition of the site. The hillslope of our site has a convex contour and a weakly 268 convex slope, which may cause surface and subsurface water and nutrients to flow through 269 and/or accumulate in the backslope-footslope transition zone (Hall and Olson, 1991). Thus, trees 270 of this geomorphic position may tend to have more available soil nutrients and therefore grow 271 slightly better than other trees (Hammer et al., 1991). However, this geomorphic interpretation is 272 not perfect: trees #8 and #15 are growing in the backslope-footslope zone (Figure 1) but have 273 low nitrate (Figure 4) while trees #2 and #4 are in the toeslope zone (Figure 1) but have high ni- 274 trate (Figure 4). Thus, quantifying the topographic microsite and geomorphic position of each 275 tree may not suffice as a substitute for actually measuring soil nutrient availability for each sam- 276 pled tree within a dendrochronological study site. 277 The ability to distinguish among trees within a site on the basis of independent environmental 278 variables–nitrate availability in this case–for the purpose of improving the environmental signal 279 contained in dendrochronologies is the essence of adding an additional explanatory term to the 280 linear aggregate model of dendrochronology to improve its strength. However, because our 281 measurements of nutrient availability are for only a single point in time, the additional explanato- 282 ry term must have a different subscript that that of other terms, as follows: Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 14 Rt = At + Ct + D1t + D2t + SNn + Et 283 284 (3) where SNn is the sum of effects of all n soil nutrients that significantly affect tree growth. The interpretability of the separate chronologies is now also enhanced relative to that of the 285 full-site chronology. The different decadal-scale patterns of the two subgroup chronologies are 286 at least statistically related to different nitrogen availability at the tree level, and additional re- 287 search should start with searching for the mechanisms that cause this statistical relationship. At 288 least three possibilities exist. One, light selection harvesting of trees took place around Sant 289 Maurici Reservoir (including our study site) in the late 1950s and late 1960s, and this manage- 290 ment event logically reduced below-ground competition for nitrogen (Pritchett and Fisher, 1987), 291 perhaps more so for some remaining trees than for others. Two, grazing is also allowed in the 292 National Park, and perhaps this redistributes nutrients in tree-specific ways (Beckett and Web- 293 ster, 1971). 294 Three, although our site is not near a large human population center that may be considered as 295 a source for heavy nitrogen deposition, the central Spanish Pyrenees are currently receiving dep- 296 osition of nitrogen that is above presumed ambient levels (Camarero and Catalan, 1993). This 297 deposition may reflect regional- to hemispheric-scale nitrate pollution that is noticeable in 298 Greenland ice data beginning in 1955 (Mayewski et al., 1986), and such low-grade nutrient input 299 can significantly affect tree growth throughout decades of time (Pritchett and Fisher, 1987). 300 Since trees take in much of their nitrogen as ionic forms through their roots (Kramer and Ko- 301 zlowski, 1979), it is reasonable to suspect that soil plays a central role at the tree level in mediat- 302 ing the availability of nitrogen from chronic pollution (Lammers and Johnson, 1991). 303 304 The research approach of analyzing soil nutrient availability at the tree level in dendrochronology might apply well in studies of forest sites that are clearly impacted by an obvious source Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 15 305 of air pollution. Such sites exist in southern California, for example, where we are initiating a 306 study using the soil nutrient-tree growth analysis described here. Some trees of some forests of 307 southern California have increasing growth indices since 1950, which have been tentatively in- 308 terpreted as evidence of direct CO2 stimulation of tree growth (Jacoby, 1986). It is physiologi- 309 cally reasonable that increasing CO2 may play a role in increasing tree growth (Kramer and Ko- 310 zlowski, 1979), but forests adjacent to and downwind of the Los Angeles metropolitan region are 311 also receiving substantial deposition of nitrogen from air pollution (Grant, 1995). If input of ni- 312 trogen is affecting tree growth in southern California, then soils may also be playing a role there 313 in mediating the effect of nitrogen availability at the tree level. A study combining soil and tree- 314 growth data at the tree level could help elucidate the situation in southern California and else- 315 where. 316 Use of IER and Dendrochronological Research 317 The fact that nitrate was more available than ammonium in our study contradicts some past 318 forest-soils research that has measured more ammonium present in soils than nitrate (Gross et al., 319 1995; Huang and Schoenau, 1996a). However, measuring the amount of a nutrient present in 320 soil per se includes the potential nutrient pool, which in the case of nitrogen typically does not 321 relate reliably to what becomes available in mineralized forms (Binkley and Hart, 1989). Meas- 322 uring actual soil nutrient availability is preferable in this type of dendrochronological project that 323 analyzes variation at the tree level. 324 IER is clearly an excellent method for measuring soil nutrient availability. IER can stay in the 325 soil for reasonably long time periods (between a month and a year or longer, Skogley and 326 Dobermann, 1996), and therefore they can integrate bioavailability through more time than does 327 an instantaneous sampling of soil for the total amount of a nutrient present (Binkley and Hart, Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 16 328 1989). Placement of IER disturbs the soil only minimally (Carlyle and Malcolm, 1986), and the 329 resins are resistant to freezing and drying stresses in the field (Crabtree and Kirkby, 1985). The 330 IER are stationary in the soil, as are tree roots at the time scale of a year or less, and they absorb 331 only those ionic forms of nutrients that flow around them in the soil solution, as is also true for 332 tree roots (Binkley, 1984; Binkley and Hart, 1989). Thus, field use of IER closely approximates 333 soil-tree root interactions with respect to nutrient availability (Gibson, 1986). Tests of IER have 334 shown that this technique correlates well with other more labor-intensive methods as well as with 335 ecosystem process rates (Binkley et al., 1986). Furthermore, expressing values in relative units 336 such as mass of nutrient/time/mass of resin is valid (Carlyle and Malcolm, 1986) and acceptable, 337 if not preferable, in dendrochronological research, which typically also analyzes relative 338 measures of tree growth, i.e., standardized indices of growth. 339 A protocol suggestion is to bury more than one capsule or bag of IER per tree. Past research 340 using IER has found differences in soil nutrient availability in an area as small as one square me- 341 ter (Huang and Schoenau, 1996b). Given that root zones of mature trees can span an area of sev- 342 eral square meters (Pritchett and Fisher, 1987), it would be wise to have ample replication within 343 each tree to more confidently measure soil nutrient availability using IER. This would also more 344 closely match the typical dendrochronological sampling strategy where multiple increment cores 345 are collected from each sampled tree. 346 Additionally, it would be preferable to measure soil nutrient availability for different parts of 347 the annual cycle of tree growth and dormancy (Binkley and Hart, 1989). Our study analyzed 348 availability for the dormant season leading up to the probable start of cambial activity of Pinus 349 uncinata at our sites (Camarero et al. 1998). This sampling period includes a majority of the an- 350 nual precipitation as well as effects of snowmelt at the site (Lundell, 1989). However, another Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 17 351 protocol suggestion is to measure soil nutrient availability for the growing season itself–or for 352 shorter periods during the growing season–to assess the role that the point in time during cambial 353 activity has on soil nutrient-tree growth relationships (Casals et al., 1995). 354 CONCLUSION 355 Measuring and analyzing soil nutrient availability at the tree level can substantially enhance 356 environmental applications of dendrochronological research. With this soils information, it is 357 possible to distinguish between subgroups of trees within a tree-ring site and thereby construct 358 subchronologies that differ significantly, especially for variation at the decadal scale. Subchro- 359 nologies may then lead to different–and presumably improved–environmental interpretations rel- 360 ative to those based on a full-site chronology. 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Coefficient (p value) Model NO3– PO4–3 K+ R2 p level Average growth index since 1970 +0.010 (<0.001) –2.35 (0.015) –0.16 (0.059) 63% <0.001 Trend in growth indices since 1950 +0.001 (0.001) –0.22 (0.058) –0.15 (0.138) 45% 0.005 Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 25 480 FIGURE CAPTIONS 481 Figure 1. (a) Plan view and (b) longitudinal profile of study site. Contour lines of (a) and verti- 482 cal reference scale of (b) are relative to the elevation of the flat subsite. Lines for trees 483 in (b) are not drawn to scale. 484 485 486 Figure 2. Correlation matrix of nutrient availability. The critical value at the 0.05 level for n = 20 is ±0.43 (Rohlf and Sokal, 1981). Figure 3. Single-variable regression results using nitrate availability to explain (a) average 487 growth index since 1970 and (b) trend in growth indices since 1950. Dashed lines are 488 the 95% confidence limits. 489 Figure 4. Spatial-series plot of nitrate availability for each tree. Trees #1-#10 are in the flat sub- 490 site and trees #11-#20 are in the steep subsite (refer also to Figure 1). Dashed line is a 491 reference for distinguishing high- versus low-nitrate trees. 492 Figure 5. Time-series plots of index chronologies from 1950 to 1996 for (a) high-nitrate trees, 493 (b) low-nitrate trees, and (c) all trees of the site. Dashed line is 1.0 mean of the chro- 494 nology, light gray line is slope since 1950, and dark gray line is average since 1970. 495 Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. 496 26 Sheppard, Casals, Gutiérrez: Soil nutrients and tree growth. N as NO3– Total N P as PO4–3 Ca+2 K+ N as NH4+ +0.52 +0.73 +0.22 +0.40 +0.19 27 N as NO3– Total N P as PO4–3 Ca+2 +0.96 +0.39 +0.65 +0.56 +0.38 +0.64 +0.51 +0.39 +0.46 +0.79