Forest Ecology and Management 259 (2010) 967–975

Contents lists available at ScienceDirect

Forest Ecology and Management journal homepage: www.elsevier.com/locate/foreco

Response of climate-growth relationships and water use efficiency to thinning in a Pinus nigra afforestation ˜ ellas a Darı´o Martı´n-Benito a,1,*, Miren Del Rı´o a, Ingo Heinrich b,2, Gerhard Helle b,2, Isabel Can a b

Dpto. Sistemas y Recursos Forestales CIFOR-INIA, Ctra. La Corun˜a, Km. 7.5, E-28040 Madrid, Spain Helmholtz Centre Potsdam, GFZ German Research Centre for Geosciences Climate Dynamics and Landscape Evolution Section 5.2, Telegrafenberg C323, 14473 Potsdam, Germany

A R T I C L E I N F O

A B S T R A C T

Article history: Received 19 October 2009 Received in revised form 30 November 2009 Accepted 2 December 2009

Thinning is the main forestry measure to increase tree growth by reducing stand tree density and competition for resources. A thinning experiment was established in 1993 on a 32-year-old Pinus nigra Arn. stand in central Spain. The response of growth, climate-growth relationships and intrinsic water use efficiency (WUEi) to a stand density reduction were compared between moderate thinned plots and a control plot by a combined analysis of basal area increments (BAI), and C and O stable isotope ratios (d13Cc and d18Oc). BAI in the control plot showed a decreasing trend that was avoided by thinning in the thinned plot. Thinning also partially buffered tree-ring response to climate and trees were less sensitive to precipitation although more sensitive to temperature. D13Cc in the thinned plot was not modified indicating that stomatal conductance (g) and photosynthetic capacity (A) did not change or change in the same direction. However, d18Oc decreased in the control plot (unrelated to d18O of precipitation) but not in the thinned plot, suggesting a relative increase of temperature and irradiance and/or a decrease of air humidity after reducing the density consistent with an increase in A, g and BAI. As WUEi did not increase in the thinned plot, faster growth in this plot was caused by higher abundance of resources per tree. The trend of WUEi in both plots indicated low-moderate CO2-induced improvements. Thinning might be a useful adaptation measure against climate change in these plantations reducing their vulnerability to droughts. However, because WUEi was not affected, the positive growth response might be limited if droughts and warming continue and certain thresholds are exceeded. ß 2009 Elsevier B.V. All rights reserved.

Keywords: Tree-rings Stem growth Forest management Carbon and oxygen isotopes Black pine Competition

1. Introduction Radial growth of trees within forest stands greatly depends on the interactions between competition and environmental conditions (e.g. Piutti and Cescatti, 1997). Crown competition affects the space available for growth as well as the amount of light (energy) that a tree receives whereas root competition determines the amount of water and soil nutrients available for each tree. If water is a limiting resource, and it is predicted to become scarcer, one of the more important measure that forest managers have to modulate the influence of climate on tree growth within stands is by means of more or less intense thinning (e.g. Cescatti and Piutti, 1998) which would make more water available for the remaining trees.

* Corresponding author. Tel.: +34 91 347 1461; fax: +34 91 347 6767. E-mail addresses: [email protected], [email protected] (D. Martı´n-Benito). 1 Tel.: +34 91 347 1461. 2 Tel.: +49 0331 288 1915. 0378-1127/$ – see front matter ß 2009 Elsevier B.V. All rights reserved. doi:10.1016/j.foreco.2009.12.001

It has been generally considered that a reduction of density decreases global transpiration of the stand although individual tree transpiration might increase (Bre´da et al., 1995). Moreover, water availability usually increases as a result of thinning because of the reduction of crown interception or root competition (Sucoff and Hong, 1974; Bre´da et al., 1995; Misson et al., 2003). Density reductions also affect positively the amount of incident light, nutrients available (Blanco et al., 2005) as well as the temperature inside the stand (e.g. Tang et al., 2005). Positive effects of thinning on tree growth are therefore caused by the reduction of crown and belowground competition and to the concentration of potential growth in only a reduced number of selected individuals. Whether this growth acceleration is caused by an improvement of the hydric state of trees, an increase in energy (light) in the canopy or both depends on the interplay between the factors most limiting growth. In dry climates such as the Mediterranean, water availability is considered to be the main limiting factor (Specht, 1981). Although growth increases were reported after thinning without an increase in the water status of trees (Waring and Pitman, 1985), a reduction of water stress improves the general condition of trees (e.g. Kolb et al., 1998) and

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

968

increases growth rates of the remaining trees (Sucoff and Hong, 1974; Donner and Running, 1986; Aussenac and Granier, 1988). If this is the case, it could be recorded in tree-rings as a reduction (values becoming more negative) of the ratio between 13C and 12C stable isotopes of carbon fixed in wood cellulose (d13C) (e.g. McDowell et al., 2003). Water stress causes stomata closure (Farquhar et al., 1989), reduces stomatal conductance for CO2 (g) and leads to higher proportion of 13C. However, in dense stands, such as those usually originating from afforestation, light might also be a limiting factor for growth even in high irradiance regions. Therefore in these cases, growth of thinned stands could be enhanced by increasing light availability which could ultimately enhance net assimilation (Warren et al., 2001). According to the model of Farquhar et al. (1989) carbon discrimination depends on stomatal conductance for CO2 (g) and on the photosynthetic carbon assimilation (A) as they both regulate the partial pressure of CO2 in the leaf intercellular spaces (ci) calculated as ci ¼ ca 

A g

(1)

They both affect discrimination (D) expressed as

D ¼ a þ ðb  aÞ 

ci ca

(2)

where a is the diffusion of carbon in air (4.4%) and b is the net fractionation in carboxylation by the enzyme ribulose bisphosphate carboxylase/oxygenase (Rubisco; 27%), and ca the partial pressure of CO2 of the atmospheric air (Farquhar et al., 1982). The balance between g and A determines the changes in D13C (and in opposite direction of d13C). In general, A/g are inversely correlated with soil water availability, because g increases more than A (e.g. Dupouey et al., 1993) but this process is also affected by the higher irradiance and possible nutrient availability caused by thinning (e.g. Warren et al., 2001). Thus, a decrease of d13C (increase in D13C) can be caused by an increase of g or a decrease of A relative to the other variable (Farquhar et al., 1989). In order to distinguish between these two possible causes, Scheidegger et al. (2000) suggested the combined use of d13C and oxygen isotope ratio of organic matter (d18O). Variations in ci are inferred from d13C whereas changes in relative humidity are derived from d18O because it depends on soil water isotope composition, temperature, and relative humidity (for a review see Yakir, 1992). The main objective of our study was to assess the growth reactions to thinning of trees in afforested stands of Pinus nigra Arn. using a combination of dendrochronological and stable isotope methods. With this study we aim to evaluate whether the effect of reducing the stand density (if any) is caused by an increase on water availability as compared to the pre-thinning period and to a control plot or if water use efficiency is modified by lower competition.

2. Materials and methods 2.1. Study area and field sampling Our study area was located in central Spain (latitude 418020 N, longitude 038040 W) at an altitude of 1050 masl. Trees were in a pure even-aged P. nigra subs. Salzmanii var. hispanica stand originating from afforestation at an initial stand density of 1600 trees ha1. The thinning experiment was composed of two control plots (C1 and C2) with no thinning and two thinned plots (T1 and T2) where a moderate thinning from below (removing the trees with smaller diameters) was applied in winter 1993–1994 (trees were 31 years old) removing 28.5% of initial basal area in T1 and 20.5% in T2 (Table 1). All plots have been inventoried four times between 1993 and 2007 (Table 1). In winter 2006–2007, we sampled 15 trees in three of the four plots (T1, T2, and C1). Control plot C2 was left out of the study because of high natural mortality between 1998 and 2003 (Table 1). Sampled trees were those which had a circumference (ki) within the range of average plot circumference (K i ) plus one standard deviation (ki ¼ K i þ SDi ) (Misson et al., 2003). Two cores were extracted from each tree with an increment borer, later mounted on wood boards and sanded. Total ring width (TRW) was measured to the nearest 0.01 mm and registered in a computer using the software TSAP (Rinn, 2003). Raw TRW series were visually and statistically crossdated with TSAP by the Gleichla¨ufigkeit (sum of equal slopes intervals in per cent), t-values and the cross-date index (CDI) which is a combination of both. 2.2. Dendrochronological approach We derived series of yearly basal area increments (BAI) from raw ring width assuming concentrically distributed tree-rings. BAI were used instead of ring-width directly, because BAI is less dependent on age and thus avoids the need of detrending (Biondi, 1999) which could also remove low frequency variability, more so given the short time span of our series (1960–2006), such as the sudden reduction of stand density. However, we carried out a very conservative detrending with a straight line equal the mean BAI in each series. Basal area increment indices (IBAI) were obtained by dividing yearly BAI values by the mean value of BAI of each tree, IBAIi j ¼ BAIi j =BAI j , where BAIi is the basal area increment of year i (i = 1970, 1994,. . ., 2007) of tree j, and BAI j is the mean yearly basal area increment for tree j in the period 1993–2007. 2.3. Stable isotope and intrinsic water use efficiency analysis Stable carbon and oxygen isotope analysis was performed on a subsample of five trees per plot whose tree-ring series most resembled the plot tree-ring chronology from plots C1 and T1 in which the thinning was heavier. We analyzed rings for the period 1986–2005 which corresponded to 8 years before and 12 years after the thinning in order to explore the effect of thinning for a longer period of time. Complete dated rings (including both early-

Table 1 Stand description values of the four plots during the four inventories analyzed. For the first inventory, data before and after the thinning are presented.

1993 b.th. C1 T1 C2 T2 a b

Basal area (m2 ha1)

Stand density (trees ha1)

Plot

Control Thinned Control Thinned

1600 1590 1600 1570

b

1993 a.th. – 1020 – 1150

b

Mean DBHa (cm)

1998

2003

2007

1993 b.th.

1993 a.th.

1998

2003

2007

1993 b.th.

1993 a.th.

1998

2003

2007

1600 1020 1590 1150

1580 1020 1320 1150

1580 1020 1310 1120

30.3 31.9 31.4 28.3

– 22.5 – 22.8

34.4 26.4 35.1 26.4

38.5 30.2 33.8 30.0

39.0 32.6 35.3 31.7

15.4 15.8 15.6 14.9

– 16.6 – 15.7

16.4 18.0 16.5 17.0

17.4 19.3 17.8 18.1

17.5 20.0 18.3 18.8

DBH, diameter measured at breast height (1.30 m). b.th. = before thinning; a.th. = after thinning.

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

and latewood) were cut and detached with a sharp blade from cores under a stereomicroscope to ensure no contamination from adjacent rings. Wood was finely cut and holocellulose extracted from each separate ring following a standard procedure (Sohn and Reiff, 1942). From each sample (tree-ring) 250  25 mg of cellulose were weighted in tin cups for carbon isotopes and silver cups for oxygen. These cups were combusted to CO2 for the determination of 13C/12C in an element analyzer (model NA 1500; Carlo Erba, Mila´n, Italia) and pyrolysed to CO for oxygen analysis using an elemental analyzer interfaced to a continuous flow isotope ratio mass spectrometer (Micromass Optima). The 13C/12C and 18O/16O ratio of the resulting CO2 and CO were analyzed in an isotope ratio mass spectrometer (Thermoquest GmbH, Bremen, Germany) at the Institute of Chemistry and Dynamics of the Geosphere (ICG) Forschungszentrum Ju¨lich (Ju¨lich, Germany). Carbon isotopic values were referred as d13Cc relative to VPCB (Vienna Pee Dee belemnite) and later converted to carbon isotope discrimination as   D ¼ d13 Ca  d13 Cc = 1 þ d13 Cc =1000 (3) where d13Cc is the isotopic ratio in wood cellulose and d13Ca the ratio in atmospheric air (Farquhar et al., 1989). Oxygen values were expressed as d18Oc and referred to VSMOW (Vienna Standard Mean Ocean Water). Intrinsic water use efficiency (WUEi), the ratio between net carbon assimilation in photosynthesis (A) and stomatal conductance for water gw, (related to stomatal conductance for CO2 as gw = 1.6 g) is given by WUEi ¼

A ðca  ci Þ ¼ gw 1:6

(4)

and is therefore proportional to (ca  ci). WUEi was estimated for the control plot C1 and thinned plot T1. From Eqs. (2) and (4) it follows that WUEi ¼

ca  ðb  DÞ 1:6  ðb  aÞ

(5)

from discrimination values (D) in our trees and the partial pressure of CO2 of the atmospheric air ca taken from McCarroll and Loader (2004). In order to investigate the temporal trend of WUEi and analyze the possible driving factors (CO2 rising concentrations and/or the effect of thinning) we also estimated theoretical WUEi from the three scenarios in Saurer et al. (2004) who considered: 1. ci is kept constant and thus ci/ca and D must decrease so d13Cc and WUEi would strongly increase. 2. ci/ca and thus D remain constant because d13Cc decreases parallel to d13Ca. WUEi increases but not as strongly as in scenario 1. 3. ca  ci is constant because ci increases exactly as much as ca and WUEi does not increase. This would be reflected by a stronger decrease of d13Cc than d13Ca.

969

for the period 1970–2006. Missing data from the closest station (‘‘Embalse de Alcorlo’’; 418000 N, 038010 W, 880 masl) were completed by simple linear regression with the farthest station (‘‘Embalse del Vado’’; 418000 N, 038170 W, 980 masl). Mean annual precipitation and temperature for the period 1970–2006 were 663 mm and 11.3 8C, respectively, and the annual dry season lasted from July to September. Seasonal values of climate variables were calculated from monthly data: winter (win, previous December to February), spring (spr, March to May), summer (sum, June to August), autumn (aut, September to November), year (y, January to December), and hydrological year (9–6, previous September to June). In addition, we estimated monthly and seasonal values of d18O of rain with the model    2 P P þ 112 d18 Orain ¼ 0:42T  0:007T 2  26:8  0:046 1000 1000  Z 0:5  8:26 developed for the Mediterranean region of Spain by Ferrio and Voltas (2005) where T (in 8C) and P (in mm) are mean monthly temperature and precipitation respectively, and Z (in m) is the altitude of the site. 2.5. Climate model In order to separate the effects of climate from those of reducing stand density, we used the tree-ring chronology from the control plot C1 where the studied factor (i.e. thinning) is not present but that has the same climate signal (e.g. Knapp et al., 2001; Misson et al., 2003). We developed a multiple linear regression model for BAI with a forward selection of climate variables (mean temperatures and total precipitation for individual months and different periods). Multicolinearity between independent variables was checked on the final model and no significant (p < 0.05) correlations were observed. By estimating residuals from this model (BAIobserved  BAIpredicted) the climatic signal recorded in the BAI series can be removed but keeping the rest of the information recorded in the rings such as the effect of thinning. 2.6. Statistical analyses The responses of BAI to thinning and residuals from the climate model were analyzed using a repeated measures analysis of variance with a first order autocorrelation structure and heterogeneous variances in the variance–covariance matrix in which plots were considered as groups and periods before (1982–1993) and after thinning (1994–2005) were used as repeated measures. Carbon and oxygen isotopes were similarly tested but periods before and after thinning were different (1986–1993 and 1994– 2005, respectively). These periods were also used to calculate the relationship between IBAI or isotopes and climate data. All statistical analyses were carried out in R (R Development Core Team, 2008). 3. Results

For all three scenarios, the initial ci value for the calculation of WUEi was estimated from Eqs. (4) and (5) and D at year 1986 which was the first tree-ring analyzed (e.g. Saurer et al., 2004). This initial value affects the initial level of WUEi but not its trend and thus allows for the analysis of the evolution of WUEi. 2.4. Climate data Monthly values of precipitation and temperature from two meteorological stations within 4 km of the sample site were provided by the Spanish National Meteorological Agency (AEMET)

Stand basal area before thinning was higher in the thinned plot T1 (31.9 m2 ha1) than in the other plots whereas that of thinned plot T2 was lowest (28.3 m2 ha1) (Table 1). After thinning stand basal area was reduced by 28% and 20% in T1 and T2 respectively so similar basal area after thinning were left in both plots (22.5 and 22.8 m2 ha1, respectively) (Table 1). By the end of the period analyzed (2007) both thinned plots exceeded their initial basal area but were lower than that of the control plot C1 used for comparison. Mean diameter was however higher in T1 followed by T2 as a consequence of thinning.

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

970

Table 2 Correlation coefficients among and between basal area increment indices (IBAI) in control plot (C1) and thinned plots (T1 and T2) before and after thinning.

a

C1–C1 T1–T1a T2–T2a C1–T1 C1–T2 T1–T2

Before thinning 1980–1993

After thinning 1994–2006

0.78 0.86 0.72 0.81 0.76 0.77

0.72 0.67 0.61 0.68 0.67 0.63

a Denotes mean correlation coefficient among all individual series within the same plot.

3.1. Basal area increments In general, BAI and IBAI in all plots crossdated well but correlations between IBAI of plots were higher for the period before thinning (1980–1993) than after thinning (1994–2006) in all cases (Table 2; Fig. 1). At plot T1 (higher reduction of basal area), mean BAI of trees increased for some years after thinning. However, BAI of trees in T1 for the entire periods before and after thinning (11 years in both cases) showed no significant differences, whereas trees in plot C1 experienced a significant decrease in their BAI for the same periods. Therefore, differences between BAI in both plots were higher after 1993 (Table 3). The greater difference between both plots was reached in 1995 and 1996 when growth of trees in T1 was more than 100% higher than those in the control plot. However, growth at plot T2 was slightly but not significantly higher after 1993 than in plot C1 (Fig. 1 and Table 3) and it also decreased compared to the period before thinning. 3.2. C and O stable isotopes Time series of carbon isotopic discrimination D13Cc were synchronous between plots C1 and T1 and differences between plots remained constant from 1986 to 2005 (Fig. 2) although plot C1 showed significant higher D values than plot T1 for all years studied (Table 3). However, we observed no significant modification of D13Cc associated with increased BAI in T1 during the 12 years analyzed after thinning (Table 3). d13Cc ranged between 23.1% and 21.6% in C1 and between 22.3% and 20.7% in T1. For oxygen isotope composition, thinned plot T1 showed higher values of d18Oc than C1 when the 20 years analyzed were taken together (Fig. 2). These differences increased after thinning because d18Oc of control trees decreased more rapidly (r = 0.43; p < 0.001; Fig. 2) than that of trees in T1 (r = 0.25; p = 0.01; Fig. 2). In fact, in the control plot C1 d18Oc values after

Fig. 1. Annual basal area increment (BAI; mean with standard errors) per tree for control plot (C1), and thinned plots (T1 and T2). The dashed line indicates the date of thinning. Bars represent standard errors.

Table 3 Mean (standard error) of basal area increments (BAI), carbon discrimination (D13Cc), and oxygen isotope ratio (d18Oc). Note that the length of the period before thinning varies between BAI and isotope discrimination variables. In all cases n = 5. Columns and rows within the same variable with different letters are significantly different in a repeated measures ANOVA Tukey’s test (p < 0.05). Plot

Basal area increments (mm2 year1) Before (1982–1993)

After (1994–2005)

C1 T1 T2

414.77 (13.48) b 575.60 (14.16) c 421.52 (14.50) b

333.62 (15.01) a 587.47 (19.43) c 379.48 (13.32) ab

Plot

Basal area increments (mm2 year1) Before (1986–1993)

After (1994–2005)

16.11 (0.10) a 15.11 (0.16) b

16.06 (0.05) a 15.11 (0.08) b

33.72 (0.17) a 34.34 (0.11) c

33.17 (0.14) b 34.29 (0.13) c

13

D Cc (%) C1 T1

d18Oc (%) C1 T1

1993 were significantly lower than before while those in T1 were not significantly different (Table 3). d18Orain showed no trend during these same periods (Fig. 2). Correlation between yearly values of carbon and oxygen isotope ratios was not significant in any of the plots (results not shown). However, a strong negative d13Cc–d18Oc correlation was found for both plots considering 4-year mean values (Fig. 3). The same was evidenced for basal area increment index (IBAI) and d13Cc whereas d18Oc positively correlated with IBAI (Fig. 3). Results of these three analyses for the period before 1993 and after 1993 showed the same relationships. 3.3. Climate model and relationships with climate Since 1970, warming temperature was evident in the area. Spring and summer temperature increased by 0.073 8C year1

Fig. 2. Carbon isotope discrimination D13C (top) and oxygen isotope ratio d18O (bottom) in the control plot and thinned plot T1. Mean yearly value of estimated d18O of rain is also shown in the bottom graph (see text for calculation). Each point represents the mean value of 5 trees. Bars represent standard errors. The vertical dashed line indicates the date of thinning (1993).

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

971

model (Table 4) were January and April mean temperatures and total precipitation of January and May–June. No multicolinearity was observed between the selected variables. Therefore, the model was used to remove the climatic signal of plots while maintaining information related to stand disturbances. The residuals between observed IBAI and IBAI estimated with the climate-growth model showed that trees in plot T1 grew significantly more after 1994 than expected by climate and that this effect lasted until 2001 (Fig. 4). However, trees in plot T2 only showed increased growth for certain years (1994, 1998, 2000 and 2001). The correlation between IBAI and climate data showed that growth strongly depended on winter and spring precipitation (Pwin and Pspr) and more generally on precipitation between September of the previous year and current June (P9–6) (Fig. 5). Temperature showed a negative although weaker effect on growth, particularly during winter and spring (Twin and Tspr). After the thinning in 1993, remaining trees in T1 showed weaker dependence on Pspr and P9–6 than before (Fig. 5B) whereas in trees in C1 those relationships either remained unchanged (Pspr) or increased (P9–6) (Fig. 5A). However, the effect of spring temperature (Tspr) decreased in C1 and that of summer (Tsum) became more negative in T1 as compared to the previous period (Fig. 5). Of both isotopic ratios analyzed, d13Cc showed stronger relationships with climate (Fig. 6). The strongest correlations were found between spring precipitation (Pspr) and d13Cc in C1 and T1 before thinning, later becoming non-significant. However, yearly precipitation (Py) and P9–6 showed differences between both plots, i.e. their correlation with d13Cc in plot C1 decreased more than in plot T1, similarly to Tsum coefficients (Fig. 6A and C). d18O was only correlated with autumn precipitation (Paut) in T1 and d18Orain of the year (d18Oy) during the period after 1993 in both plots. The relationship with Paut became more negative after the reduction of density in T1 (Fig. 6D). 3.4. Intrinsic water use efficiency

Fig. 3. d13C–d18O plot (A), d13C-TRWI plot (B) and d18O-TRWI (C). Each point represents the mean value of 5 trees whereby the value for each tree represents the mean of 4 years. b.th: before thinning; a.th.: after thinning.

(r = 0.63, p < 0.001) and 0.062 8C year1 (r = 0.47, p = 0.0039) respectively, while summer precipitation decreased by 3.9 mm year1 (r = 0.58, p < 0.001) and autumn precipitation increased by 3.6 mm year1 (r = 0.46, p = 0.0049). The model developed between BAI indices of the control plot and climate variables performed well (R2adj = 0.79; Table 4) so the estimated BAI closely resembled the observed BAI even for the extreme year of 1976 (Fig. 4). Climate variables that entered the Table 4 Regression model for Pinus nigra chronologies predicting basal area increment indices of the control plot C1 as a function of climatic variability for the period 1970–2006. Independent variable

Estimate

Std. error

t value

p-level

Precipitation January Precipitation May–June Mean temp. January Mean temp. April Intercept

0.00349 0.00246 0.08954 0.05983 1.22970

0.00047 0.00027 0.01756 0.01569 0.14389

7.37 8.98 5.10 3.81 8.55

<0.001 <0.001 <0.001 <0.001 <0.001

R2 = 0.92; adjusted R2 = 0.79; F(4,31) = 35.23; p < 0.0001; residual standard error: 0.1445.

Estimated WUEi increased in both plots since the beginning of the study period (Fig. 7) at a rate of 0.47 mmol mol1 per year (r = 0.58; p = 0.007) in C1 and 0.45 mmol mol1 per year (r = 0.51; p = 0.021) in T1. The temporal trend of the mean WUEi in each plot showed that the observed data fell within the assumptions of constant ci/ca and constant ci  ca (Fig. 7), thus suggesting an increase in ci equal to or lower than ca. No changes in WUEi were observed after the reduction of stand density in the thinned plot as evidenced by the comparison with the control trees (Fig. 7). 4. Discussion As a consequence of thinning, trees grew faster in the heavier thinned than in the control plot (Fig. 1), in accordance with previous results for other tree species (e.g. Tasissa and Burkhart, ˜ ellas et al., 2004). Similar results 1997; Misson et al., 2003; Can were supported by the observation of higher residuals of the climatic model in the thinned plot T1 (Fig. 4). The lack of significant differences between T2 and C1 might have been caused by too small a reduction of the basal area to induce substantial changes (e.g. Misson et al., 2003) in accordance with other studies that reported poor tree growth response after light thinning from below (e.g. Ma¨kinen and Isoma¨ki, 2004). Furthermore, the faster recovery of the initial stand basal area, and thus of competition, could be responsible for the lack of differences. In fact, even in T1 residuals of the climatic model did not differ from those in C1 after the initial stand basal area was recovered approximately 10 years later (Fig. 4). Overall, reducing the stand density did not increase growth of the remaining trees but instead allowed them to grow as much

972

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

Fig. 4. Basal area increment index (IBAI) observed and predicted with the climate model developed (Table 4) for control plot C1 (A; R2 = 0.79, p < 0.001). Predicted IBAI compared to observed IBAI in thinned plots T1 (B) and T2 (D), and residuals (C) and (E), respectively. The vertical dashed line indicates the date of thinning. Note that x-scale varies in figures C and E to show detail.

as before thinning whereas maintaining the original density caused trees to grow less (Figs. 1 and 4; Table 3). In the Mediterranean climate, water stress is considered to be the most limiting resource for plant growth (Specht, 1981) but at high stand densities, or in understory plants, shade adds additional stress (e.g. Valladares and Pearcy, 2002). Our results support in part the hypothesis that reducing the density reduces the stress in trees in a stand where both light and water might be limiting factors. After the thinning, trees in the thinned plot showed lower correlations with precipitation than before the thinning while in trees of the control plot it increased or remained constant (Fig. 5) as shown for other species (Cescatti and Piutti, 1998). However, correlation with summer temperature was more negative after thinning in T1 (Fig. 5), probably as a consequence of higher irradiance reaching the crowns of remaining trees and higher summer temperatures inside the stand. This was also evidenced by the decoupling of residuals in the most strongly thinned plot as compared to either the control or the lowest thinned plot (Fig. 4). The relationship between d13Cc and precipitation showed a less clear trend (Fig. 6A and C). Correlation decreased more in C1 than

in T1 during the period 1994–2005 as compared to 1985–1993, suggesting that water stress changed little in T1 after thinning. This lower response in T1 was most likely caused by higher growth rates and temperatures and thus greater evaporative demand coupled with higher water availability. Tree-ring width and d13Cc are known to be controlled by different climate variables or by the same variables but at different times and therefore to contain different climatic information (McCarroll and Loader, 2004) which could explain these differing results between d13Cc and tree-ring width. The climatic signal was less clear in d18Oc which was mostly affected by d18Oy indicating that the isotopic signal of rain water was mainly maintained. However, d18Oc in T1 showed a more negative correlation with autumn precipitation after thinning than before, while in C1 did not change; in accordance with results suggesting that relative humidity in C1 was higher because of a closer canopy (see below). We found a negative relationship between d13Cc and d18Oc after taking a 4-year mean (Fig. 3) in opposition to results for Picea abies L., Pinus sylvestris L. (Saurer et al., 1997a) and three other conifers (Marshall and Monserud, 2006) and could point towards a limited operational range of stomata (Scheidegger et al., 2000) in the

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

Fig. 5. Correlation coefficients between seasonal and annual climatic variables and basal area increment indices (IBAI) for control plot C1 (A) and thinned plot T1 (B). Bars represent coefficients for different periods. The levels of significance at p = 0.05 vary between periods because of the different number of years analyzed. Bars of significant coefficients are marked with arrows.

studied P. nigra individuals. Because trees in T1 showed lower D13Cc (higher WUE) also before thinning (Figs. 2 and 7), trees might have not been able to increase their WUE more which could in part explain the low response of trees in the thinned plot to the reduction of density. Other causes could be that plants might keep the ci/ca ratio (and thus d13Cc) constant through a wide range of

973

climate conditions (e.g. Ehleringer, 1994; Brooks et al., 1998) or to the relatively short time series used in our study. Throughout the 20 years studied, D13Cc was always higher in the control plot than in the thinned plot (Fig. 3). Faster growing trees were found in T1 as shown by higher annual BAI (Fig. 1). These differences might not be attributed to the reduction of stand density because they are present before and after the thinning. In general, fast growing trees show lower values of leaf D13C (higher d13C) than slow growing trees (Johnsen et al., 1999; Weih, 2001) which can be extrapolated to wood cellulose. Similar results have been found for Abies pinsapo Boiss in Spain in which dominant trees showed higher values of d13C of wood than trees under higher competition (Linares et al., 2009), and for two oaks where the faster growing Quercus petraea (Matt.) showed lower values of d13Cc than Q. robur L. (Ponton et al., 2001). In plants with more negative d13C (higher D13C) water is depleted faster (Meinzer et al., 1990) because stomata are more open and grow less under similar environmental conditions than plants with lower D13C values. Therefore, lower D13C, related to higher water use efficiency, may be linked to higher growth under similar conditions. The reduction of stand density in plot T1 did not affect D13Cc significantly at the interannual scale (Fig. 2) neither on the analyses for the periods before and after the thinning (Table 3). These results agree with those of old P. ponderosa (Leavitt and Long, 1986) but are in opposition with previous observations in thinning experiments of young P. radiata and P. pinaster where D13C decreased (Warren et al., 2001) and for old stands of P. ponderosa where it increased (McDowell et al., 2003). Carbon discrimination, and thus A/g [linked to WUEi through Eq. (4)] in the model of Farquhar et al. (1989), remained almost constant after the thinning suggesting that A and g either did not change or changed in similar direction and magnitude. The analysis of oxygen isotope discrimination would then be useful to segregate both confounding effects (Scheidegger et al., 2000) because d18O of rain and soil water can be considered to be the same for both plots. Thinning did not affect d18Oc in T1 whereas it decreased in C1 from 1986–1993

Fig. 6. Correlation coefficients between seasonal and annual climatic variables and average values of d13Cc and d18O per plot including estimated d18O of precipitation d18Orain (see text for calculation). Bars represent coefficients for different periods. The levels of significance at p = 0.05 vary between periods because of the different length of periods analyzed. Bars of significant coefficients are marked with arrows.

974

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

Fig. 7. Intrinsic water use efficiency (WUEi) for the control plot C1 (top) and thinned plot T1 (bottom) (bold lines). WUEi was estimated using Eq. (4). For the three scenarios considered [constant ci, constant ci/ca, and constant ca  ci] (Saurer et al., 2004), it was estimated with Eq. (4) and the initial ci value for year 1986 (see text) and ca taken from McCarroll and Loader (2004).

to 1994–2005 (Fig. 2 and Table 3) which was unrelated to precipitation d18O (Fig. 6B). Therefore, maintaining the original density as the trees aged and crowns expanded would reduce temperatures and/or increase the relative humidity within the control stand because d18O increases in leaves with higher temperature and lower relative humidity (Dongmann et al., 1974; Yakir, 1992) which is reflected in wood cellulose (Gray and Thompson, 1976). However, the effect of crown closing on the isotopic ratio of soil water, because of differential enrichment as compared to rain water, cannot be ruled out and its role remains unclear. These results would suggest that (i) the temperature and relative humidity would have also changed in T1 had it not been thinned and (ii) that although the soil water content, and consequently tree water status, might have increased as a consequence of thinning in T1, crowns of remaining trees in the stand would be more exposed to light, warmer temperatures and/or dryer air. This new conditions would have a positive impact on A (photosynthetic carbon assimilation) in a young pine stand (Ehleringer et al., 1986; McDowell et al., 2003; Skov et al., 2004). In order to keep A/g constant, g would have to increase in a similar way in T1 after the thinning (Skov et al., 2004) thus indicating higher water availability. Similar results of increased growth with unchanged d13Cc were reported by Saurer et al. (1997b) and explained as the balance between increased light (which would increase d13Cc) simultaneously with increased water availability (which would decrease d13Cc) which have non-independent effects on carbon discrimination (Retuerto et al., 2000). This would be accompanied by a nearly constant ci in relation to ca (constant ci/ca) thus keeping D13Cc unchanged. Therefore, water use efficiency (directly related to A/g) would have not increased in T1 as a consequence of thinning (Warren et al., 2001). Thus, it seems probable that the avoidance of

BAI decline in T1 after thinning (contrary to the observed decline in C1) was not the result of an increase in the WUEi caused by thinning but a consequence of more resources (water, light, and nutrients) being available for each individual. Furthermore, our results of WUEi (Fig. 7) corresponded to those between scenarios where ci/ca and ca  ci were held constant (Saurer et al., 2004) and thus were similar to those obtained for A/g comparison, similar to results reported for P. nigra in Southeastern Spain (Andreu, 2007). The situation of constant ci/ca seems to be the most common response in many trees of boreal forests (Saurer et al., 2004) and other tree species (Linares et al., 2009) which would imply a general weak increase in WUEi induced by CO2 increments or no change in WUEi (constant ca  ci) as found in conifers in the USA (Marshall and Monserud, 1996). Therefore our results suggest that the response in WUEi to increasing CO2 concentration in these forests is weak to moderate and that reducing the density of the stands has no effect on WUEi of trees and probably of the entire plantation as shown for young stands of ponderosa pine (e.g. Misson et al., 2005). 5. Conclusions Response of growth to climate in black pine was affected by intraspecific competition. Our moderate-low thinning from below produced higher tree growth compared to a control plot (where tree growth declined) although not higher than during previous years in the same plot. An increase of resources per individual tree appeared as the most probable cause of the observed reaction to thinning rather than an optimization on the use of these resources. Using a combination of tree-ring width and isotopic ratios of carbon and oxygen showed that WUEi was not increased in the thinned plot although sensitivity to climate was buffered.

D. Martı´n-Benito et al. / Forest Ecology and Management 259 (2010) 967–975

Modification of water and light availability was recorded in D13Cc and d18Oc which showed that maintaining the original stand density might increase plot relative humidity and decrease insidestand air temperature. Therefore, forest managers should consider thinning as an adaptation measure to reduce stand vulnerability to climate change in these plantations. However, the positive growth response to thinning can be limited if droughts and warming exceed certain thresholds because WUEi was not improved. Acknowledgments We would like to thank A´ngel Bachiller, Concepcio´n Ortega, and Estrella Viscasillas for their field assistance and to Miguel Sa´nchez Sa´nchez (CIEMAT, Spain) and Carmen Bu¨rger (GFZ Potsdam, Germany). This study was partially funded by the research projects OT-03-002 and SUM2008-00002-00-00. Instituto Nacional de Investigaciones Agrarias y Alimentarias (INIA) provided a doctoral grant to D. Martin-Benito. We also thank two anonymous reviewers whose comments greatly improved the manuscript. References Andreu, L., 2007. Climate and Atmospheric CO2 Effects on Iberian Pine Forests Assessed by Tree-Ring Chronologies and their Potential for Climatic Reconstructions/Efectes del clima i del CO2 atmosfe`ric en pinedes ibe`riques avaluats mitjanc¸ant cronologies d’anells dels arbres i el seu potencial per reconstruir el clima. Deparatment d’Ecologia, Universitat de Barcelona, Barcelona, pp. 37–57. Aussenac, G., Granier, A., 1988. Effects of thinning on water stress and growth in Douglas-fir. Can. J. For. Res. 18, 100–105. Biondi, F., 1999. Comparing tree-ring chronologies and repeated timber inventories as forest monitoring tools. Ecol. Appl. 9 (1), 216–227. Blanco, J.A., Zavala, M.A., Imbert, J.B., Castillo, F.J., 2005. Sustainability of forest management practices: evaluation through a simulation model of nutrient cycling. For. Ecol. Manage. 213 (1–3), 209–228. Bre´da, N., Granier, A., Aussenac, G., 1995. Effects of thinning on soil and tree water relations, transpiration and growth in an oak forest (Quercus petraea (Matt.) Liebl.). Tree Physiol. 15, 295–306. Brooks, J.R., Flanagan, L.B., Ehleringer, J.R., 1998. Responses of boreal conifers to climate fluctuations: indications from tree-ring widths and carbon isotope analyses. Can. J. For. Res. 28, 524–533. ˜ ellas, I., Rı´o, M.D., Roig, S., Montero, G., 2004. Growth response to thinning in Can Quercus pyrenaica Willd. coppice stands in Spanish central mountain. Ann. For. Sci. 61 (3), 243–250. Cescatti, A., Piutti, E., 1998. Silvicultural alternatives, competition regime and sensitivity to climate in a European beech forest. For. Ecol. Manage. 102 (2), 213–223. Dongmann, G., Nu¨rnberg, H.W., Fo¨rstel, H., Wagener, K., 1974. On the enrichment of H218O in the leaves of transpiring plants. Radiat. Environ. Biophys. 11, 41–52. Donner, B.L., Running, S.W., 1986. Water stress response after thinning Pinus contorta stands in Montana. For. Sci. 32 (3), 614–625. Dupouey, J.L., Leavitt, S.W., Choisnel, E., Jourdain, S., 1993. Modelling carbon isotope fractionation in tree rings based on effective evapotranspiration and soil water status. Plant Cell Environ. 16, 939–947. Ehleringer, J.R., 1994. Variation in gas exchange characteristics among desert plants. In: Schulze, E.-D., Caldwell, M.M. (Eds.), Ecophysiology of Photosynthesis. Springer, Berlin, Heidelberg, New York, pp. 361–392. Ehleringer, J.R., Field, C.B., Lin, Z.-f., Kuo, C.-y., 1986. Leaf carbon isotope and mineral composition in subtropical plants along an irradiance cline. Oecologia 70 (4), 520–526. Farquhar, G.D., Ehleringer, J.R., Hubick, K.T., 1989. Carbon isotope discrimination and photosynthesis. Annu. Rev. Plant Physiol. Plant Mol. Biol. 40, 503–537. Farquhar, G.D., O’Leary, M.H., Berry, J.A., 1982. On the relationship between carbon isotope discrimination and the intercellular carbon dioxide concentration in leaves. Aust. J. Plant Physiol. 9, 121–137. Ferrio, J.P., Voltas, J., 2005. Carbon and oxygen isotope ratios in wood constituents of Pinus halepensis as indicators of precipitation, temperature and vapour pressure deficit. Tellus B 57 (2), 164–173. Gray, J., Thompson, P., 1976. Climatic information from 18O/16O ratios of cellulose in tree rings. Nature 262, 481–482. Johnsen, K.H., Flanagan, L.B., Huber, D.A., Major, J.E., 1999. Genetic variation in growth, carbon isotope discrimination, and foliar N concentration in Picea mariana: analyses from a half-diallel mating design using field-grown trees. Can. J. For. Res. 29, 1727–1735. Knapp, P.A., Soule´, P.T., Grissino-Mayer, H.D., 2001. Detecting potential regional effects of increased atmospheric CO2 on growth rates of western juniper. Global Change Biol. 7 (8), 903–917.

975

Kolb, T.E., Holmberg, K.M., Wagner, M.R., Stome, J.E., 1998. Regulation of ponderosa pine foliar physiology and insect resistance mechanisms by basal area treatments. Tree Physiol. 18, 375–381. Leavitt, S.W., Long, A., 1986. Influence of site disturbance on d13C isotopic time series from tree rings. In: Proceedings of the International Symposium of Ecological Aspects of Tree-Ring Analysis, Tarrytown, NY, pp. 119–129. Linares, J.-C., Delgado-Huertas, A., Camarero, J.J., Merino, J., Carreira, J.A., 2009. Competition and drought limit the response of water-use efficiency to rising atmospheric carbon dioxide in the Mediterranean fir Abies pinsapo. Oecologia 161 (3), 611–624. Ma¨kinen, H., Isoma¨ki, A., 2004. Thinning intensity and growth of Scots pine stands in Finland. For. Ecol. Manage. 201 (2–3), 311–325. Marshall, J.D., Monserud, R.A., 1996. Homeostatic gas-exchange parameters inferred from 13C/12C in tree rings of conifers. Oecologia 105, 13–21. Marshall, J.D., Monserud, R.A., 2006. Co-occurring species differ in tree-ring d18O trends. Tree Physiol. 26, 1055–1066. McCarroll, D., Loader, N.J., 2004. Stable isotopes in tree rings. Isotopes in Quaternary Paleoenvironmental Reconstruction 23 (7–8), 771–801. McDowell, N., Brooks, J.R., Fitzgerald, S.A., Bond, B.J., 2003. Carbon isotope discrimination and growth response of old Pinus ponderosa trees to stand density reductions. Plant Cell Environ. 26, 631–644. Meinzer, F.C., Goldstein, G., Grantz, D.A., 1990. Carbon isotope discrimination in coffee genotypes grown under limited water supply. Plant Physiol. 92, 130–135. Misson, L., Antoine, N., Guiot, J., 2003. Effects of thinning intensities on drought response in Norway spruce (Picea abies (L.) Karst.). For. Ecol. Manage. 183, 47– 60. Misson, L., Tang, J., Xu, M., McKay, M., Goldstein, A., 2005. Influences of recovery from clear-cut, climate variability, and thinning on the carbon balance of a young ponderosa pine plantation. Agric. For. Meteorol. 130, 207–222. Piutti, E., Cescatti, A., 1997. A quantitative analysis of the interactions between climatic response and intraspecific competition in European beech. Can. J. For. Res. 27, 277–284. Ponton, S., Dupouey, J.-L., Bre´da, N., Feuillat, F., Bode´ne`s, C., Dreyer, E., 2001. Carbon isotope discrimination and wood anatomy variations in mixed stands of Quercus robur and Quercus petraea. Plant Cell Environ. 24, 861–868. R Development Core Team, 2008. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. , http:// www.R-project.org. Retuerto, R., Lema, B.F., Roiloa, S.R., Obeso, J.R., 2000. Gender, light and water effects in carbon isotope discrimination, and growth rates in the dioecious tree Ilex aquifolium. Funct. Ecol. 14 (5), 529–537. Rinn, F., 2003. TSAP-Win Professional, Time Series Analysis and Presentation for Dendrochronology and Related Applications. Version 0.3, Quick Reference. Frank Rinn, Heidelberg, Germany, 20 pp. Saurer, M., Aellen, K., Siegwolf, R.T.W., 1997. Correlating d13C and d18O in cellulose of trees. Plant Cell Environ. 20, 1543–1550. Saurer, M., Borella, S., Schweingruber, F., Siegwolf, R., 1997. Stable carbon isotopes in tree rings of beech: climatic versus site-related influences. Trees-Struct. Funct. 11 (5), 291–297. Saurer, M., Siegwolf, R.T.W., Schweingruber, F.H., 2004. Carbon isotope discrimination indicates improving water-use efficiency of trees in northern Eurasia over the last 100 years. Global Change Biol. 10, 2109–2120. Scheidegger, Y., Saurer, M., Bahn, M., Siegwolf, R., 2000. Linking stable oxygen and carbon isotopes with stomatal conductance and photosynthetic capacity: a conceptual model. Oecologia 125, 350–357. Skov, K.R., Kolb, T.E., Wallin, K.F., 2004. Tree size and drought affect ponderosa pine physiological response to thinning and burning treatments. For. Sci. 50 (1), 81– 91. Sohn, A.W., Reiff, F., 1942. Natriumchlorit als Aufschlussmittel. Der Papierfabrikant 1/2, 5–7. Specht, R.L., 1981. Primary production in Mediterranean climate ecosystems regenerating after fire. In: Di Castri, F., Goodall, D.W., Specht, R.L. (Eds.), Mediterranean-type Shrublands. Elsevier, Amsterdam. Sucoff, E., Hong, S.G., 1974. Effects of thinning on needle water potential in red pine. For. Sci. 10 (1), 25–29. Tang, J., Qi, Y., Xu, M., Misson, L., Goldstein, A.H., 2005. Forest thinning and soil respiration in a ponderosa pine plantation in the Sierra Nevada. Tree Physiol. 25 (1), 57–66. Tasissa, G., Burkhart, H.E., 1997. Modeling thinning effects on ring width distribution in loblolly pine (Pinus taeda). Can. J. For. Res. 27, 1291–1301. Valladares, F., Pearcy, R.W., 2002. Drought can be more critical in the shade than in the sun: a field study of carbon gain and photo-inhibition in a Californian shrub ˜ o year. Plant Cell Environ. 25, 749–759. during a dry El Nin Waring, R.H., Pitman, G.B., 1985. Modifying lodgepole pine stands to change susceptibility to mountain pine beetle attack. Ecology 66 (3), 889–897. Warren, C.R., McGrath, J.F., Adams, M.A., 2001. Water availability and carbon isotope discrimination in conifers. Oecologia 127, 476–486. Weih, M., 2001. Evidence for increased sensitivity to nutrient and water stress in a fast-growing hybrid willow compared with a natural willow clone. Tree Physiol. 21, 1141–1148. Yakir, D., 1992. Variations in the natural abundance of oxygen-18 and deuterium in plant carbohydrates. Plant Cell Environ. 15, 1005–1020.

Response of climate-growth relationships and water ...

availability usually increases as a result of thinning because of the reduction of crown interception or ...... as forest monitoring tools. Ecol. Appl. 9 (1), 216–227.

1MB Sizes 1 Downloads 194 Views

Recommend Documents

Relationships between Water, Otolith, and Scale Chemistries of ...
Abstract.—We quantified Mg:Ca, Mn:Ca, Sr:Ca, and Ba:Ca molar ratios from an area representing the summer 2000 growth season on otoliths and scales from 1-year-old westslope cutthroat trout. Oncorhyncus clarki lewisi collected from three streams in

Response of glacier basal motion to transient water ...
Dec 20, 2007 - basal motion, however, because the subglacial conduit system evolves to ... (Fig. 2e). The HCL filling rate increased during Mode A before lake.

pdf-1829\water-rights-and-principles-of-water-resources-management ...
... apps below to open or edit this item. pdf-1829\water-rights-and-principles-of-water-resource ... nagement-water-project-series-by-chhatrapati-singh.pdf.

Social anxiety and romantic relationships: The costs and benefits of ...
costs and benefits of emotion expression are influenced by a person's degree of social ..... convergent validity with longer more resource intensive measures of ...

Learning and the Value of Trade Relationships
Nov 6, 2017 - recovery is slower in Germany than in the United Kingdom. .... lationships,” Working Paper 14-08, U.S. Census Center for Economic ...... See Schmidt-Eisenlohr (2013) for a model of payment choices with positive interest rates.

Learning and the Value of Trade Relationships
Most trade (that we can track) is in long-term relationships. Table: U.S. Arm's-Length Imports, 2011 ..... again next period. The posterior probability that a supplier is patient after buying from them for k periods is: θk = ̂θ ... (1 − θk ) λ

Social Relationships and the Emergence of Social Networks.pdf ...
Social Relationships and the Emergence of Social Networks.pdf. Social Relationships and the Emergence of Social Networks.pdf. Open. Extract. Open with.

The Context and Quality of Social Relationships Affect ...
Chimpanzees live in multimale, multifemale .... was based on the criterion that data be accumulated ..... female data sets, analysed separately); however, such.

Growth and climatic response of male and female
were measured to the nearest 0.01 mm with a computer- compatible incremental ..... Canadian Journal of Botany, 68: 1364-1368. Armstrong, J. & A. Irvine, 1989.

53 Representations of mother-child attachment relationships and ...
There was a problem loading this page. 53 Representations of mother-child attachment relatio ... e Journal of Early Adolescence-2012-Granot-537-64.pdf.

Relationships and Properties of Polytomous Item ...
research in education, marketing, and medicine. Often tests with polytomous items are preferred over those with dichotomous items. This preference might be based on (1) the fact that fewer polytomous items are typically needed to obtain the same degr

Lending relationships and credit rationing: the impact of ...
more than 3 years already have a large impact on credit availability. Agarwal and ... date of constitution, firm industry, number of employees, legal form of the business, whether the firm is ..... crisis attracting a big deal of international attent

Phylogenetic relationships, biogeography and ...
The avian genus Saxicola is distributed throughout Africa, Asia, Europe and various islands across Oceania. Despite the fact that the group has great potential as a model to test evolutionary hypotheses due to the extensive variability in life histor

Unpacking-Relationships-Instruction-and-Student-Outcomes.pdf ...
Unpacking-Relationships-Instruction-and-Student-Outcomes.pdf. Unpacking-Relationships-Instruction-and-Student-Outcomes.pdf. Open. Extract. Open with.

RECIPROCAL RELATIONSHIPS AND MECHANISM ...
Celik: ESSEC Business School and THEMA Research Center, ... a game played by computer programs, each of which conditions its action on some other program. Kalai et al. (2010) uses the same idea to describe a two player contracting ...... Elimination

Learning Relationships between Multiple Modalities and Words
that can learn multiple categorizations and words related to any of four modalities (action, object, position, and color). This paper focuses on a cross-situational learning using the co-occurrence of sentences and situations. We conducted a learning

and the Long-run Relationships of CPI, GNP ... Accounts
1 M.S. Econometrics student and Faculty member, respectively, School of Applied Economics, ... (Relationship of CPI,. GNP and. Underemployment). CRIME ...