ISRN Forestry

Volume 2012 (2012), Article ID 437690, 8 pages

http://dx.doi.org/10.5402/2012/437690

## Silver Fir Defoliation Likelihood Is Related to Negative Growth Trends and High Warming Sensitivity at Their Southernmost Distribution Limit

^{1}Área de Ecología, Universidad Pablo de Olavide, Ctra. de Utrera Km 1, 41002 Sevilla, Spain^{2}Departamento Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, Ctra. de Utrera Km 1, 41013 Sevilla, Spain^{3}ARAID, Instituto Pirenaico de Ecología (CSIC), Avenida Montañana 1005, 50192 Zaragoza, Spain

Received 30 August 2012; Accepted 16 October 2012

Academic Editors: J. F. Negron, S. Sun, A. M. Vettraino, and M. Vitale

Copyright © 2012 Juan Carlos Linares and J. Julio Camarero. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Changes in radial growth have been used to estimate tree decline probability since they may indicate tree responses to long- and short-term stressors. We used visual assessments of crown defoliation, an indicator of decline, and retrospective tree-ring analyses to determine whether climate-growth sensitivity and tree growth rates may be used as predictors of tree die-off probability in *Abies alba* (silver fir) at the Spanish Pyrenees. We used climatic data to calculate standardized temperature and precipitation data and drought indexes. Basal area increment was measured for declining (defoliation > 50%) and nondeclining (defoliation < 50%) silver firs in stands with contrasting defoliation. Logistic regressions were applied to predict tree die-off. Since the early 1980s, a synchronised reduction in basal area increment was observed in declining trees. The basal area increment trend correctly classified 64% of declining trees and 94% of nondeclining trees. The growth sensitivity to water deficit, temperature, and a drought index also significantly predicted silver fir decline, but providing underestimated predictions. Our findings underscore the idea that long-term climatic warming seems to be a major driver of growth decline in silver fir. Ongoing growth reduction and enhanced mortality may promote vegetation shifts in declining Pyrenean *A. alba* forests.

#### 1. Introduction

Declining trends of tree radial growth are considered as reliable indicators of long-term stress and may be an additional risk factor for drought-induced mortality [1–3]. Individual tree decline and death often occur as a result of the combined effects of different long-and short-term stressors [4, 5]. Radial growth, used here as a proxy of whole plant carbon gain [6], may be used to identify those trees with the highest probabilities of death [3, 7]. Indeed, several studies have shown that mortality rates are to some extent inversely related to radial growth trends [8–11]. However, the potential use of both growth trends and climate sensitivity, as surrogates for evaluating the vulnerability of tree species to climate change, has received less attention [3, 12–14].

Dendrochronological assessments of changing trends of radial growth may be useful to understand decline processes [15, 16]. Usually, reduced wood formation occurs prior to visual symptoms of decline such as crown defoliation. Thus, dendrochronology may be useful to forecast the impending decline of particular trees and forests [3, 16]. Moreover, tree decline may result of the combined effects of several stressors acting at different time scales on growth. Therefore, including information from both long and short-term stressors should improve our knowledge of decline mechanisms taking also into account specific traits of tree species (e.g., drought tolerance).

To evaluate the contributing effects on tree decline of tree growth trend (i.e., contrasting growth patterns obtained in trees subjected to the same regional climate) and climate responsiveness, we used crown defoliation, an indicator of tree decline, and retrospective tree-ring analyses. We focused on declining silver fir (*Abies alba *Mill.) stands from the Spanish Pyrenees [17, 18]. We hypothesized that silver fir decline is a combined response to climatic stressors, acting at short-and long-term scales, and changes in growth trends, respectively. Thus, an assessment of the effects of both types of stressors on growth should provide improved models of tree decline. We also hypothesized that declining growth trends reduce the capacity of trees to adapt to drier climatic conditions. Our specific aims were to (i) quantify growth patterns in declining and nondeclining *A. alba* trees, (ii) provide predictors of silver fir decline at the individual level based on growth patterns and growth sensitivity to climate variability.

#### 2. Materials and Methods

##### 2.1. Study Species and Field Sampling

The Pyrenees constitute a transitional area between more humid conditions in their northern margin and drier conditions southwards where Mediterranean vegetation becomes dominant [19]. The studied *A. alba* populations are located in the Aragón Pyrenees, northeastern Spain (Figure 1), where silver fir stands are usually found at humid sites on north-facing slopes forming pure or mixed stands with *Fagus sylvatica* L. or *Pinus sylvestris *L. Most studied stands are located on marls and limestones, which generate basic soils, or on moraine deposits with rocky but deep soils. The most used method of timber harvesting in the study area was diameter limit cutting, which mostly affected fast-growing and big trees. According to historical data, logging intensity during the 20th century in the Pyrenees was greatest in the 1950s but no data are available on how widespread was in this region [20].

Since the 1980s silver fir growth decline in the Aragón Pyrenees was characterized by high defoliation levels and increased mortality rates (Figure 2), mainly at low-elevation sites [21]. Since we were interested in comparing *A. alba* stands with different decline symptoms, we performed an extensive field survey, visiting at least one site in all 10 km^{2} grids where silver fir formed forests across the study area. Based on this extensive field survey, we selected representative stands within the coordinates 42°42′–42°45′N, 0°38′–0°52′W; 1000–1300 m a.s.l., with about 30% of declining trees (see below the definition of declining and nondeclining trees; detailed study site characteristics can be found in [18]). A total of 62 dominant trees (28 declining and 34 nondeclining silver firs; ~40 cm diameter from the base, ~20 m height) were selected for sampling within a 500 m long and 20 m wide transect randomly located within the stands.

Tree decline symptoms were assessed by a semiquantitative scale, based on the percentage of crown defoliation [22]: class 0, 0–10% defoliation (healthy tree); 1, 11–25% (slightly damaged tree); 2, 26–50% (moderately damaged tree); 3, 51–75% (severely damaged tree); 4, 76–90% (dying tree); 5, standing dead trees with >90% defoliation or only retaining red needles. Since estimates of percent crown defoliation may vary among observers and places, we used as a reference a tree with the maximum amount of foliage at each site [3]. Declining trees were considered as those with crown defoliation greater than 50%.

##### 2.2. Climate Data

We used local climatic records to study the spatiotemporal variation of climatic conditions in the study area (detailed characteristics of climate data can be found in [23]). To estimate the missing data for each meteorological station and to obtain a regional climatic record we used the program MET from the *Dendrochronology Program Library* [24]. The annual water budget (named as drought index thereafter; P-ETP) was obtained from the sum of the differences between monthly data of precipitation (P) and potential evapotranspiration (ETP), and the last variable was estimated by a modified version of the Thornthwaite method [25].

To obtain the regional climatic mean local climate data were standardized to give each station the same relative weight. Mean temperature and P-ETP were standardized by subtracting the mean and dividing by the standard deviation: where is the score distance from the average () in standard deviation units ().

To determine the severity and the statistical rarity of extreme drought events, precipitation data was standardized by calculating the standardized precipitation index (SPI) for each meteorological station. The spatial and temporal dimensions of drought events create problems in generating a drought index because not only must an anomaly be normalized with respect to location, but the anomaly must also be normalized in time if it is to produce a meaningful estimate of drought. The SPI accomplishes both. The SPI is normalized to a station location because it accounts for the frequency distribution of precipitation as well as the accompanying variation at the station. Additionally, the SPI is normalized in time because it can be computed at any number of time scales, depending upon the impacts of interest to the analyst. Conceptually, the SPI represents a -score, or the number of standard deviations above or below that an event is from the mean, as it is expressed in (1). However, the SPI performs a preadjustment to this standard formulation due to precipitation is typically positively skewed. To adjust for this mathematical rainfall feature, the precipitation data is transformed to a more normal distribution by applying the gamma function [26–28]. The gamma distribution is defined by its frequency or probability density function: where , is a shape parameter; , is a scale parameter; , is the precipitation amount; is the gamma function: Computation of the SPI involves fitting a gamma probability density function to a given frequency distribution of precipitation totals for a station. The alpha and beta parameters of the gamma probability density function are estimated for each station, for each time scale of interest (seasonal, annual, etc.), and for each month of the year. The maximum likelihood solutions are used to optimally estimate and as follows: where where = number of precipitation observations.

The resulting parameters are then used to find the cumulative probability of an observed precipitation event for the given month and time scale for the station in question. The cumulative probability is given by: Letting , this equation becomes the incomplete gamma function:

Since the gamma function is undefined for and a precipitation distribution may contain zeros, the cumulative probability becomes: where is the probability of a zero. If is the number of zeros in a precipitation time series, can be estimated by . The cumulative probability, , is then transformed to the standard normal random variable with mean zero and variance of one (see (1)) as follows: where , , , , , and .

##### 2.3. Dendrochronological Methods

Dendrochronological sampling was performed in the 62 trees selected following standard methods [29]. Two or three cores were taken from each tree at breast height (1.3 m) using an increment borer. The wood samples were air-dried and polished with a series of successively finer sand-paper grits until tree rings were clearly visible. Then, the wood samples were visually cross-dated. Tree rings were measured to the nearest 0.001 mm using a binocular scope and a LINTAB measuring device (Rinntech, Heidelberg, Germany). The visual cross-dating of the tree-rings was checked using the program COFECHA [30]. The trend due to the geometrical constraint of adding a volume of wood to a stem of increasing radius was corrected by converting tree-ring widths into basal area increments (BAI) [31]. We calculated mean BAI values and trends separately for declining (defoliation > 50%) and nondeclining (defoliation < 50%) trees. Trends values were calculated as the slope of the time series, estimated by least squares regression. Growth reduction percentage was calculated as GRP = 100 × ((mean BAI of the last decade included in the compute) − (mean BAI of the first decade included in the compute))/(mean BAI of the first decade included in the compute). The coefficient of variation (CV) was defined as the ratio of the standard deviation to the mean multiplied by 100 (Table 1).

BAI data were also standardized, following the same procedure described above for climate data [31]. Growth sensitivity to climate was estimated, for each individual tree, as the determination coefficient between standardized basal area increment and annual climatic variables (mean annual temperature, annual SPI, and annual water budget).

##### 2.4. Logistic Regression Models of Silver Fir Decline

We applied logistic regression to predict the decline probability of tree at a given time [32]:
where indicates that tree is declining at time (correspondingly, indicates that tree is nondeclining at time ). The matrix contains the independent variables of tree at time and is a vector containing the regression coefficients. The predictors used corresponded to three groups of variables related to growth level, growth trends, and growth sensitivity to climate. The assessed variables were the mean tree BAI for the periods 1960–1999, 1960–1979, and 1970–1999; the BAI trend of each tree computed as the time/BAI slope from least squares linear regression, for the same periods mentioned before; the coefficient of variation of BAI for each tree also calculated for the same periods as above; the growth sensitivity to changes in temperature, precipitation, and drought (P-ETP). Logistic regressions based on generalized linear models for binomial data were fitted by maximum log-likelihood estimation using the R software [33]. The value and the *odds ratio* were used during the model selection procedure to assess the goodness-of-fit of the models [34, 35].

#### 3. Results

Standardized mean annual temperature yielded systematically above average values after 1981, with extreme warm years in the following periods 1937-1938, 1986–1990, and 1997-1998 (Figure 3). The coldest periods recorded for the twentieth century in the study area were 1917, 1955-1956, and 1963. The standardized precipitation index (SPI) yielded minimum rainfall values in 1933, 1934, 1937, and 1949, whereas the wettest years were 1960, 1966, 1977, and 1979. The standardized drought index (P-ETP) yielded extreme drought events with pronounced water deficit in 1933, 1937, 1949, and 1989, while years with high water availability were the same that those estimated using the SPI.

The standardized BAI were significantly correlated to standardized climate series for both nondeclining and declining trees (Figure 3). The highest correlation coefficient was obtained between standardized mean annual temperature and BAI ( and for declining and nondeclining trees, resp.), followed by those obtained between the standardized mean drought index and BAI ( and for declining and nondeclining trees, resp.). The standardized BAI was also related to the extreme drought events recorded by the SPI series, in the case of declining trees. In the 1950s and late 1970s, higher water availability was related to positive standardized BAI, especially in the case of nondeclining trees. Contrastingly, in 1986 all trees showed a sudden growth decline (Figure 3). However, only declining trees showed negative standardized BAI between 1995 and 1999.

The combination of two or more independent variables increased the probability and the likelihood values of logistic regression models of silver fir decline, but it did not improve the percentage of correctly assigned trees to the declining and non-declining classes (data not shown). The best decline predictor was the BAI trend for the period 1980–1999, followed by growth sensitivity to drought (Table 2; Figures 4 and 5). The BAI trend calculated for the period 1960–1999, as well as the BAI coefficient of variation estimated for the period 1980–1999, also obtained substantial support. The BAI trend calculated for the period 1980–1999 correctly classified 64% and 94% of declining and non-declining firs, respectively. The sensitivities of growth to changes in drought, temperature, and precipitation resulted in an underestimation of correctly classified declining trees (46%, 27%, and 27%, respectively; Table 2 and Figure 4).

#### 4. Discussion

Logistic regression modelling showed a relatively high accuracy to predict silver fir decline using the trend in basal area increment as predictor. Logistic regression models based on the slope of the basal area increment of the five years before tree death also showed high predictive ability of competition-mediated mortality of Norway spruce (*Picea abies*) in the Swiss Alps [32]. In another study [16] decline and crown defoliation in silver firs from Slovenia was modelled, showing that declining trees had a higher probability to die than non-declining trees.

Defoliated trees followed diminishing growth trends up two decades before presenting external decline symptoms as abundant needle loss, which agrees with other studies [36–38], and suggest that responses of trees to climatic stress can be predicted based on characteristics growth patterns [5, 32, 39]. We were able to detect a significant difference between long-term growth patterns of healthy and declining silver firs. Moreover, in many cases, declining trees showed negative growth trends, and high growth sensitivity to climate. Abrupt declines in growth or strongly negative growth trends may indicate a rapid physiological adaptation to changing environmental conditions [3].

Our results suggest that silver firs reacted to warming-induced drought in the 1980s by reducing their carbon allocation to stem growth, while needle production and retention may not have been so affected by this stressing event. However, allocation to shoot formation and perhaps root growth had likely been lowering thereafter, until the temperature rise in 1997 and 1998, which resulted in increased crown defoliation, massive decline, and enhanced mortality since 1999. Decreasing growth trends are among the most obvious growth-related characteristics of declining and dying trees [40]. The process of tree dying may take decades [13, 41], and it is driven by a sequence of multiple stress factors [3, 4, 42, 43].

Growth decline generally started several decades before tree death in the Norway spruce Swiss stands studied by [44]. Recurring drought, as judged by an objective drought-stress indicator, correlated well with modelled mortality probability for Scots pines (*Pinus sylvestris*) in a dry inner-alpine Swiss valley [39]. Furthermore, these authors concluded that a variable describing the most recent growth trend is needed to adequately predict tree mortality risk. The growth trends of old *Pinus nigra* subsp. *salzmannii* trees, subjected to dry climatic conditions in south-eastern Spain forests, were mostly negative over the past century [45]. Declining Slovenian silver firs showed also decreasing growth trends for about fifty years [16, 46]. The growth curves of dead and living Scots pine trees at three different sites in the Swiss Valais started to diverge between ten and twenty prior to death [39]. Similar results were obtained for dying and living *Abies pinsapo* trees at low-elevation sites in southern Spain [13].

Silver fir growth is negatively affected by high temperature conditions of the growing season and the previous fall [47, 48]. Therefore, warming-induced drought stress is likely more related to silver fir decline than changes in precipitation, since no year with extremely low precipitation was recorded in our study area since 1960. By opposite, annual temperature yielded systematically above average values since 1981. Rising temperatures increase the vapour-pressure deficit and evaporation, resulting in greater water loss through transpiration [49]. Moreover, temperature rises may affect negatively carbon storage in silver fir because both the rates of carbohydrate consumption and respiration are strongly linked to temperature [50].

We conclude that the uncertainty on predicting forest vulnerability to climate warming depends on the different individual growth responses to climatic stress which may selectively alter species dynamics in sites with contrasting conditions or past successional trajectories. Our findings emphasize the links between tree defoliation and growth sensitivity to warming-induced drought stress in water-limited populations near the southern distribution limit of *Abies alba* in the Spanish Pyrenees. We suggest that increasing growth sensitivity to rising air temperatures will likely portray widespread and severe, in terms of defoliation and mortality, decline episodes in drought-prone areas under a warmer climatic scenario.

#### Acknowledgments

This study was funded by project RTA01-071-C3-1 (INIA, Spain) and Gob. Aragón. The authors thank E. Martin, J. L. Vázquez, C. Lastanao, and M. A. Pascual for their help. J. J. Camarero acknowledges the support of ARAID and an ETH guest scientist grant. They thank AEMET for providing climatic data.

#### References

- C. Bigler, D. G. Gavin, C. Gunning, and T. T. Veblen, “Drought induces lagged tree mortality in a subalpine forest in the Rocky Mountains,”
*Oikos*, vol. 116, no. 12, pp. 1983–1994, 2007. View at Publisher · View at Google Scholar · View at Scopus - D. L. Greenwood and P. J. Weisberg, “Density-dependent tree mortality in pinyon-juniper woodlands,”
*Forest Ecology and Management*, vol. 255, no. 7, pp. 2129–2137, 2008. View at Publisher · View at Google Scholar · View at Scopus - M. Dobbertin, “Tree growth as indicator of tree vitality and of tree reaction to environmental stress: a review,”
*European Journal of Forest Research*, vol. 124, no. 4, pp. 319–333, 2005. View at Publisher · View at Google Scholar · View at Scopus - P. D. Manion,
*Tree Disease Concepts*, Prentice-Hall, Englewood Cliffs, NJ, USA, 1991. - B. S. Pedersen, “Modeling tree mortality in response to short- and long-term environmental stresses,”
*Ecological Modelling*, vol. 105, no. 2-3, pp. 347–351, 1998. View at Publisher · View at Google Scholar · View at Scopus - C. M. Litton, J. W. Raich, and M. G. Ryan, “Carbon allocation in forest ecosystems,”
*Global Change Biology*, vol. 13, no. 10, pp. 2089–2109, 2007. View at Publisher · View at Google Scholar · View at Scopus - J. Wunder, B. Reineking, C. Bigler, and H. Bugmann, “Predicting tree mortality from growth data: how virtual ecologists can help real ecologists,”
*Journal of Ecology*, vol. 96, no. 1, pp. 174–187, 2008. View at Publisher · View at Google Scholar · View at Scopus - P. J. Van Mantgem, N. L. Stephenson, L. S. Mutch, V. G. Johnson, A. M. Esperanza, and D. J. Parsons, “Growth rate predicts mortality of Abies concolor in both burned and unburned stands,”
*Canadian Journal of Forest Research*, vol. 33, no. 6, pp. 1029–1038, 2003. View at Publisher · View at Google Scholar · View at Scopus - P. H. Wyckoff and J. S. Clark, “Predicting tree mortality from diameter growth: a comparison of maximum likelihood and Bayesian approaches,”
*Canadian Journal of Forest Research*, vol. 30, no. 1, pp. 156–167, 2000. View at Google Scholar · View at Scopus - R. G. Buchman, S. P. Pederson, and N. R. Walters, “A tree survival model with application to species of the Great Lakes region,”
*Canadian Journal of Forest Research*, vol. 13, pp. 601–608, 1983. View at Google Scholar - R. K. Kobe and K. D. Coates, “Models of sapling mortality as a function of growth to characterize interspecific variation in shade tolerance of eight tree species of northwestern British Columbia,”
*Canadian Journal of Forest Research*, vol. 27, no. 2, pp. 227–236, 1997. View at Google Scholar · View at Scopus - A. J. Das, J. J. Battles, N. L. Stephenson, and P. J. Van Mantgem, “The relationship between tree growth patterns and likelihood of mortality: a study of two tree species in the Sierra Nevada,”
*Canadian Journal of Forest Research*, vol. 37, no. 3, pp. 580–597, 2007. View at Publisher · View at Google Scholar · View at Scopus - J. C. Linares, J. J. Camarero, and J. A. Carreira, “Competition modulates the adaptation capacity of forests to climatic stress: insights from recent growth decline and death in relict stands of the Mediterranean fir Abies pinsapo,”
*Journal of Ecology*, vol. 98, no. 3, pp. 592–603, 2010. View at Publisher · View at Google Scholar · View at Scopus - B. S. Phdersen, “The role of stress in the mortality of Midwestern oaks as indicated by growth prior to death,”
*Ecology*, vol. 79, no. 1, pp. 79–93, 1998. View at Google Scholar · View at Scopus - K. Ogle, T. G. Whitham, and N. S. Cobb, “Tree-ring variation in pinyon predicts likelihood of death following severe drought,”
*Ecology*, vol. 81, no. 11, pp. 3237–3243, 2000. View at Google Scholar · View at Scopus - C. Bigler, J. Gričar, H. Bugmann, and K. Čufar, “Growth patterns as indicators of impending tree death in silver fir,”
*Forest Ecology and Management*, vol. 199, no. 2-3, pp. 183–190, 2004. View at Publisher · View at Google Scholar · View at Scopus - J. J. Camarero, “El decaimiento del abeto en los Pirineos,”
*Medio Ambiente Aragón*, vol. 4, pp. 18–20, 2000. View at Google Scholar - J. Linares and J. J. Camarero, “Growth patterns and sensitivity to climate predict silver fir decline in the Spanish Pyrenees,”
*European Journal of Forest Research*, vol. 131, pp. 1001–1012, 2012. View at Google Scholar - S. Chauchard, F. Beilhe, N. Denis, and C. Carcaillet, “An increase in the upper tree-limit of silver fir (
*Abies alba*Mill.) in the Alps since the mid-20th century: a land-use change phenomenon,”*Forest Ecology and Management*, vol. 259, no. 8, pp. 1406–1415, 2010. View at Publisher · View at Google Scholar · View at Scopus - M. Cabrera, “Evolución de abetares del Pirineo aragonés,”
*Cuadernos de la Sociedad Española de Ciencias Forestales*, vol. 11, pp. 43–52, 2001. View at Google Scholar - J. J. Camarero, A. Padró, E. Martín-Bernal, and E. Gil-Pelegrín, “Aproximación dendroecológica al decaimiento del abeto (
*Abies alba*Mill.) en el pirineo Aragonés,”*Montes*, vol. 70, pp. 26–33, 2002. View at Google Scholar - E. H. R. Müller and H. R. Stierlin,
*Sanasilva Tree Crown Photos With Percentages of Foliage Loss WSL*, Birmensdorf, 1990. - J. J. Camarero, C. Bigler, J. C. Linares, and E. Gil-Pelegrín, “Synergistic effects of past historical logging and drought on the decline of Pyrenean silver fir forests,”
*Forest Ecology and Management*, vol. 262, no. 5, pp. 759–769, 2011. View at Publisher · View at Google Scholar · View at Scopus - R. L. Holmes,
*Dendrochronology Program Library Laboratory of Tree-Ring Research,*, University of Arizona, Tucson, Ariz, USA, 1992. - C. J. Willmott, C. M. Rowe, and Y. Mintz, “Climatology of the terrestrial seasonal water cycle,”
*Journal of Climatology*, vol. 5, no. 6, pp. 589–606, 1985. View at Google Scholar · View at Scopus - T. B. McKee, N. J. Doesken, and J. Kleist, “Drought monitoring with multiple timescales Paper presented at the Preprints,” in
*Proceedings of the 8th Conference on Applied Climatology*, Anaheim, Calif, USA, 1993. - D. C. Edwards and T. B. McKee,
*Characteristics of 20th Century Drought in the United States at Multiple Time Scales*, Department of Atmospheric Science, Colorado State University, Fort Collins, Colo, USA, 1997. - I. Bordi, S. Frigio, P. Parenti, A. Speranza, and A. Sutera, “The analysis of the Standardized Precipitation Index in the Mediterranean area: large-scale patterns,”
*Annals of Geophysics*, vol. 44, no. 5-6, pp. 965–978, 2001. View at Google Scholar · View at Scopus - H. C. Fritts,
*Rings and Climate*, Academic Press, London, UK, 1976. - R. L. Holmes, “Computer-assisted quality control in tree-ring dating and measurement,”
*Tree-Ring Bulletin*, pp. 68–78, 1983. View at Google Scholar - F. Biondi and F. Qeadan, “A theory-driven approach to tree-ring standardization: defining the biological trend from expected basal area increment,”
*Tree-Ring Research*, vol. 64, no. 2, pp. 81–96, 2008. View at Google Scholar · View at Scopus - C. Bigler and H. Bugmann, “Predicting the time of tree death using dendrochronological data,”
*Ecological Applications*, vol. 14, no. 3, pp. 902–914, 2004. View at Google Scholar · View at Scopus - R Development Core Team,
*R: A Language and Environment for Statistical Computing*, R Foundation for Statistical Computing, Vienna, Austria, 2011, http://www.R-project.org. - D. W. Hosmer and S. Lemeshow,
*Applied Logistic Regression*, Wiley Interscience, New York, NY, USA, 1989. - D. Collett,
*Modelling Binary Data*, Chapman and Hall, London, UK, 1991. - Y. Miyamoto, H. P. Griesbauer, and D. Scott Green, “Growth responses of three coexisting conifer species to climate across wide geographic and climate ranges in Yukon and British Columbia,”
*Forest Ecology and Management*, vol. 259, no. 3, pp. 514–523, 2010. View at Publisher · View at Google Scholar · View at Scopus - L. Galiano, J. Martínez-Vilalta, and F. Lloret, “Drought-induced multifactor decline of Scots pine in the Pyrenees and potential vegetation change by the expansion of co-occurring oak species,”
*Ecosystems*, vol. 13, no. 7, pp. 978–991, 2010. View at Publisher · View at Google Scholar · View at Scopus - J. C. Linares, A. Delgado-Huertas, and J. A. Carreira, “Climatic trends and different drought adaptive capacity and vulnerability in a mixed Abies pinsapo-Pinus halepensis forest,”
*Climatic Change*, vol. 105, no. 1, pp. 67–90, 2011. View at Publisher · View at Google Scholar · View at Scopus - C. Bigler, O. U. Bräker, H. Bugmann, M. Dobbertin, and A. Rigling, “Drought as an inciting mortality factor in scots pine stands of the Valais, Switzerland,”
*Ecosystems*, vol. 9, no. 3, pp. 330–343, 2006. View at Publisher · View at Google Scholar · View at Scopus - R. H. Waring, “Characteristics of trees predisposed to die,”
*BioScience*, vol. 37, pp. 569–574, 1987. View at Google Scholar - R. Villalba and T. T. Veblen, “Influences of large-scale climatic variability on episodic tree mortality in northern Patagonia,”
*Ecology*, vol. 79, no. 8, pp. 2624–2640, 1998. View at Google Scholar · View at Scopus - J. F. Franklin, H. H. Shugart, and M. E. Harmon, “Tree death as an ecological process,”
*BioScience*, vol. 37, pp. 550–556, 1987. View at Google Scholar - P. J. Van Mantgem, N. L. Stephenson, J. C. Byrne et al., “Widespread increase of tree mortality rates in the Western United States,”
*Science*, vol. 323, no. 5913, pp. 521–524, 2009. View at Publisher · View at Google Scholar · View at Scopus - C. Bigler and H. Bugmann, “Assessing the performance of theoretical and empirical tree mortality models using tree-ring series of Norway spruce,”
*Ecological Modelling*, vol. 174, no. 3, pp. 225–239, 2004. View at Publisher · View at Google Scholar · View at Scopus - J. C. Linares and P. A. Tíscar, “Climate change impacts and vulnerability of the southern populations of Pinus nigra subsp. salzmannii,”
*Tree Physiology*, vol. 30, no. 7, pp. 795–806, 2010. View at Publisher · View at Google Scholar · View at Scopus - N. Torelli, W. C. Shortle, K. Cufar, F. Ferlin, and K. T. Smith, “Detecting changes in tree health and productivity of silver fir in Slovenia,”
*European Journal of Forest Pathology*, vol. 29, no. 3, pp. 189–197, 1999. View at Publisher · View at Google Scholar · View at Scopus - M. Carrer, P. Nola, R. Motta, and C. Urbinati, “Contrasting tree-ring growth to climate responses of Abies alba toward the southern limit of its distribution area,”
*Oikos*, vol. 119, no. 9, pp. 1515–1525, 2010. View at Publisher · View at Google Scholar · View at Scopus - M. Macias, L. Andreu, O. Bosch, J. J. Camarero, and E. Gutiérrez, “Increasing aridity is enhancing silver fir (
*Abies alba*Mill.) water stress in its south-western distribution limit,”*Climatic Change*, vol. 79, no. 3-4, pp. 289–313, 2006. View at Publisher · View at Google Scholar · View at Scopus - G. Aussenac, “Ecology and ecophysiology of circum-Mediterranean firs in the context of climate change,”
*Annals of Forest Science*, vol. 59, no. 8, pp. 823–832, 2002. View at Google Scholar · View at Scopus - O. K. Atkin, D. Bruhn, V. M. Hurry, and M. G. Tjoelker, “The hot and the cold: unravelling the variable response of plant respiration to temperature,”
*Functional Plant Biology*, vol. 32, no. 2, pp. 87–105, 2005. View at Publisher · View at Google Scholar · View at Scopus