Quarterly Journal of the Royal Meteorological Society Q. J. R. Meteorol. Soc. 136: 305–318, January 2010 Part B Factors governing the interannual variation and the long-term trend of the 850 hPa temperature over Israel H. Saaroni,a * B. Ziv,b I. Osetinskyc and P. Alpertd a Dept. of Geography and the Human Environment, Tel Aviv University, Israel b Dept. of Natural Sciences, The Open University of Israel c Israel Meteorological Service, Bet Dagan, Israel d Dept. of Geophysics and Planetary Sciences, Tel Aviv University, Israel *Correspondence to: H. Saaroni, Department of Geography and the Human Environment, Tel Aviv University, Tel Aviv, Israel. E-mail: [email protected] This study examines the ability of the interannual variability in the occurrence of synoptic types, intensity of large-scale circulations and global temperature to explain that of the 850 hPa temperature in Israel for the summer and the winter. The synoptic factor was represented by 19 types defined by Alpert et al. (2004b). For the summer, the deep and the weak Persian Trough explained 35% of the interannual temperature variance. For the winter, the lows to the east and to the north explained 44% of the interannual temperature variance. Two additional factors were incorporated: large-scale circulations, the North Atlantic Oscillation for the summer and the Arctic Oscillation for the winter; and global radiative forcing, represented by the global temperature. Both of them were found to be significant, and the variance explained by all of them is 56% for the summer and 64% for the winter. In the summer the variation is dominated by warm and cool types whereas in the winter the cold systems dominate. The individual contribution of each factor to the long-term temperature trend was estimated. While the global radiative forcing contribution was positive and large in both seasons, the synoptic contribution was positive, four times larger in the summer. The large-scale contribution was negative, three times larger in the winter. The considerable warming in the summer results from a rapid increase in the occurrence of the weak Persian Trough, which is a warm type. The study approach may be useful for predicting future temperature regimes, based on predicted synoptic c 2010 Royal Meteorological Society features in climatic models. Copyright Key Words: temperature interannual variability; synoptic classification; eastern Mediterranean; Persian Trough; Red Sea Trough; Cyprus Low; Subtropical High Received 6 March 2008; Revised 3 November 2009; Accepted 8 December 2009; Published online in Wiley InterScience 9 February 2010 Citation: Saaroni H, Ziv B, Osetinsky I, Alpert P. 2010. Factors governing the interannual variation and the long-term trend of the 850 hPa temperature over Israel. Q. J. R. Meteorol. Soc. 136: 305–318. DOI:10.1002/qj.580 1. Introduction those in the large-scale circulations (e.g. Xoplaki et al., 2003a). A common approach for examining the relationships Interannual temperature variations are closely related to between local conditions and larger-scale systems is to variations in the regional synoptic-scale systems beyond correlate interannual variations of monthly or seasonal c 2010 Royal Meteorological Society Copyright 306 H. Saaroni et al. anomalies of atmospheric fields, such as sea-level pressure (SLP), with the desired local variable. A more sophisticated approach, though similar in essence, uses interannual variations of the monthly or seasonally-averaged indices that represent large-scale circulations. Statistical downscaling is one of the approaches developed and used to regionalize weather variables, especially temperature and precipitation, as reviewed by Giorgi et al. (2001). Most studies use upper-level parameters and circulation modes. For example, Rauthe and Paeth (2004) quantified the relative importance of Northern Hemisphere circulation modes with respect to twentieth-century nearsurface temperature and precipitation, using stepwise multiregression. Spak et al. (2007) pointed out the importance of downscaling projections from general-circulation model (GCM) simulations for assessing local and regional impacts of climate change. They employed a multilinear regression model to downscale June, July and August monthly mean surface temperatures over eastern North America under greenhouse-gas-driven climate change simulation. The weakness in the use of monthly or seasonal averages is their inability to capture individual synoptic events on the daily time-scale. Huth (2002) intercompared statistical downscaling methods and potential large-scale predictors for winter daily mean temperatures in central and western Europe using various methods, including multilinear regression. He used four potential predictors, two circulation variables: SLP and 500 hPa geopotential heights (GPH) and two temperature variables: 850 hPa temperature and 1000–500 hPa thickness. The best choice of predictor appeared to be a pair composed of one circulation and one temperature predictor. The linkage between atmospheric circulations and the temperature regime over the Mediterranean Basin (MB) has been addressed mainly by analysing monthly (or seasonal) averages of pressure and wind fields. For instance, Ben-Gai et al. (1999) analysed the correlation between the North Atlantic Oscillation (NAO) index and the variations in the winter surface temperatures in Israel. Kutiel and Benaroch (2002) defined the North Sea–Caspian Pattern (NCP), which is based on the 500 hPa GPH difference between these two regions. They found the NCP capable of differentiating between below- and above-normal temperatures over the Eastern Mediterranean (EM), (Kutiel et al., 2002). Otterman et al. (2002) found that the strengthening of warm air transport, via south-westerlies, from the eastern North Atlantic to Europe between January and March for the years 1948–1995 accounts for a large part of the observed warming there. They found also that for 1996–2001 this temperature trend was broken, and attributed their findings to the long-term variations in the NAO. Ziv et al. (2005) attempted to identify Long-Term Trends (LTTs) in dynamic variables, including lower-level advection and vertical velocity, which may explain the considerable warming trend in the summer over the MB. However, they did not find any significant signal, and therefore suggested that the MB responds directly to the global radiative forcing as the source of the regional warming in the summer season. While Ziv et al. (2005) checked trends in the immediate proximity of the eastern Mediterranean and could not find the dynamic cause for the warming, Xoplaki et al. (2003a, 2003b) showed that large-scale circulations can explain it. Xoplaki et al. (2003a) found that three large-scale predictor fields (300 hPa geopotential height, 700–1000 hPa thickness c 2010 Royal Meteorological Society Copyright and SSTs) account for more than 50% of the total summer temperature variability over the Mediterranean Basin. They found that the warming over the MB and Europe can be explained, at least in part, by an increasing trend in the occurrence of blocking highs over western Europe. The synoptic systems prevailing over the EM, and their associated weather conditions, are extensively reviewed in various publications and are summarized in HMSO (1962), Ziv and Yair (1994) and Goldreich (2003). Ziv and Yair (1994) also describe the causal relationships between the structure, location and orientation of the synoptic systems and the weather conditions in Israel. The present study aims to analyse the factors that determine the variations of the seasonal average temperatures (SAT) over Israel. The analysis differentiates among the synoptic-scale systems, the large-scale circulations and the global radiative forcing for both the interannual variations and the long-term trend of winter and summer temperatures. The main product is prediction equations that calculate the SAT from the occurrence of the regional synoptic types, the amplitude of the dominant large-scale circulation and the global temperature, as a proxy for the global radiative forcing. These equations serve as a quantitative measure for evaluating the climatic contribution of each factor, and are proposed as a tool for deriving future temperatures from the output of climate models. 2. 2.1. Materials and methods Materials The analysis is performed for the midsummer, July and August (JA), and winter, December–March (DJFM), as defined by Alpert et al. (2004a), for the period 1948–2008. The transitional seasons, which are affected by both the winter and the summer synoptic types and are characterized by large day-to-day and year-to-year variations, are not included. The temperatures used are the 850 hPa daily temperatures at the grid point 32.5◦ N, 35◦ E (Figure 1) located at the centre of the study area, taken from the National Centers for Environmental Prediction/National Center for Atmospheric Research (NCEP/NCAR) CDAS-1 archive (Kalnay et al., 1996; Kistler et al., 2001). The values related to a grid point are averaged over a 2.5◦ × 2.5◦ area, which is comparable to the area of Israel. Moreover, it was found to be well correlated (by >0.9) with the averaged temperature over the larger square of 7.5◦ × 7.5◦ (3 × 3 grid box). Following Saaroni et al. (2003) and Ziv et al. (2005), we chose the 850 hPa level as a reference level for the temperature. The surface temperatures are noisy since they reflect the sea–land discontinuity, topographic influences and urban effects. These are considerably smoother at the 850 hPa level. The 1000 hPa level is located below the surface in the majority of the study region and the 925 hPa level intersects the marine inversion, which prevails in the study region for most of the year (Dayan et al., 2002) and is highly variable both in space (between the coastline and the inner regions) and time (from day to day). The above considerations imply that the use of surface temperature may reduce the representativeness of the results. However, recent analysis has shown good correspondence (the correlation coefficient, R, is in the order of +0.7) between the 850 hPa Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Factors Governing Temperature Variation and Trend Over Israel 307 types that differ only in temperature, except for the ‘low to the south’ (‘deep’ and ‘shallow’) which is identical to the ‘Sharav low to the west’, that is similar in structure and location but differs in temperature. Since the total occurrence of these types is only 1.4%, their practical effect can be ignored. In order to verify the extent to which the surface systems represent the 850 hPa level, we derived a correlation map between the daily SLP and the 850 hPa GPH (not shown). The correlations found within the EM exceeded 0.8, so that the synoptic types seen in the SLP fields can be considered as representing the flow patterns in the 850 hPa level. It is worth noting that the synoptic types as defined by Alpert et al. (2004b) and used here have several flaws. First, the categorization procedure was designed for the synopticscale systems according to the meteorological re-analysis data with no respect for their local mesoscale environmental implications. The second drawback is the limited size of a manually classified set of synoptic situations, such as the coexistence of two different systems (e.g. two cyclones). This is a common weakness for all classifications. Figure 1. The study region and the grid point (32.5◦ N 35◦ E) selected to represent Israel. The shaded rectangle denotes the respective grid box. temperatures and surface temperatures and heat-stress in Israel. The synoptic types are based on the semi-objective synoptic classification (Alpert et al., 2004b), containing five systems that are divided into 19 types. This classification is the only one used operationally for climate research in the EM. For instance, it has been used for season definition for the study region (Alpert et al., 2004a) and for analysing the calendaricity of cyclonic activity (Osetinsky and Alpert, 2006). The rationale for the development of this classification was formulated by Alpert et al. (2004b), and states that the large-scale European patterns classification cannot be used for the EM weather, because the latter is governed by much smaller synoptic systems, originating from both midlatitudinal and tropical areas and modified over the complex EM terrain. The classification is based on the 1200 UTC 1000 hPa temperature and horizontal wind and GPH, reflecting the surface pressure systems. According to Alpert et al. (2004b), the regional weather phenomena are well defined by these synoptic systems and the upperlevel systems are clearly reflected when one considers the dynamics of the EM surface synoptic systems. The daily types by themselves are not expected to explain the SAT. However, since each type is characterized by typical temperature (see section 3), their occurrence, which varies considerably from one season to another, can explain it. A brief description of the synoptic classification, together with a representative map for each of the five systems is given at the appendix. It should be noted that the weather-typing scheme includes thermal variables. Therefore, it could happen that types which are similar in structure or dynamics but differ in temperature may tend to be identified more as warm types due to anthropogenic warming, although their dynamical properties remain unchanged. In this way the greenhousegas forcing may be inadvertently included in the changes in the frequency of occurrence, and so mask physical predictors necessary to explain the temperature trend. Fortunately, the synoptic typing used in this study does not contain identical c 2010 Royal Meteorological Society Copyright 2.2. Method The analysis is divided into three parts. The first deals with the impact of the occurrence of the individual synoptic types on the SAT. For each season, the types with average occurrences of <0.4% are excluded. Accordingly, four types for the summer and 13 for the winter were included. The average temperature of the days belonging to each type is calculated. Then, the interannual variation in the occurrence of each individual type is correlated with that of the SAT. For the upper and lower tenths of the studied seasons (i.e. six hottest/coolest summers and winters), the degree of synoptic extremity is analysed. This is done by calculating the deviation in the occurrence of the synoptic types from the average. The sensitivity of the results concerning extreme years was addressed by repeating the analysis for the eight coolest and warmest seasons. In the second part, prediction equations are derived by a multi-regression scheme based on the occurrence of the synoptic types, the amplitude of the regional large-scale circulations and the global average temperature: • Synoptic types – The size of the sample (60 seasons) necessitates a limited number of potential predictors. This was done by grouping several individual synoptic types that reflect similar properties, such as being both ‘cold’ and negatively correlated with the SAT and vice versa. Another grouping, applied for the summer, was the difference between the occurrence of the cool and hot types. • Large-scale circulations – Two regional circulations were found to be correlated with the SAT over the study region. These are the NAO and the Arctic Oscillation (AO). For the summer, the most correlated is the NAO (averaged over the pertinent months) and for the winter, the AO, which is highly correlated with the NAO (Thompson and Wallace, 1998). The NAO data (Jones et al., 1997; Vinther et al., 2003) is taken from the Climatic Research Unit (CRU), University of East Anglia, Norwich, United Kingdom (http://www.cru.uea.ac.uk/cru/data/nao.htm) and the AO data is taken from the Q. J. R. Meteorol. Soc. 136: 305–318 (2010) 308 H. Saaroni et al. Figure 2. Average 850 hPa temperature (light grey columns), and the correlation coefficient (R) with the occurrence (dark grey columns), of the six summer synoptic types. The long-term seasonal average temperature is denoted by the solid horizontal line. The standard deviation of the temperature is presented in Table I. National Oceanic and Atmospheric Administration’s NOAA–CIRES, Climate Indices: Monthly Atmospheric and Ocean Time Series (http://www.cdc.noaa.gov/data/correlation/ao.data) • Global temperature anomaly (with respect to the 1951–1980 period) – This variable is regarded here as an estimate for the global radiative forcing, and its average for the pertinent months is added to the prediction scheme for each of the studied seasons. The data are taken from NOAA–CIRES, Climate Indices: Global Average Surface Air Temperature Anomalies: GHCN 1880–12/2008 (http://data.giss.nasa.gov/gistemp/tabledata/GLB. Ts.txt). These data are based on surface air temperature measurements (stations only) which undergo quality control including elimination of the urban heat island (Hansen et al., 1999, 2001). The multi-regression procedure was the ‘stepwise’ option of the Statistical Package for the Social Sciences (SPSS) software, which retains only the potential predictors significant at the 0.05 level, regarded hereafter as ‘predictors’. In order to assess the validity of the predictors found in the multi-regression scheme, we performed cross-validation using the ‘holdout validation’ technique. Observations are chosen randomly from the initial sample to form the validation data, while the remaining observations are retained as the training data. In each experiment, 40 of the 61 seasons (for the winter, 60) were chosen randomly and were used as a basis for a multi-regression scheme. In each experiment, we obtained a different prediction equation according to the sub-sample used. We then applied it to the remaining seasons (independent sample) and correlated the calculated and the observed temperatures. The two parts are carried out separately for the summer and the winter (sections 3.1 and 3.2, respectively). The third part (section 3.3) deals with the contribution of each of the above factors, i.e. the synoptic, the largescale and the global radiative forcing, to the observed LTT. This was achieved by multiplying the trend in each of the predictors, representing them by the respective coefficient in the prediction equations. This was done separately for the summer and the winter. c 2010 Royal Meteorological Society Copyright 3. 3.1. Results Summer The summer is represented here by the ‘high season’, July–August (JA), the period in which the Persian Trough (PT, Figure A2) is most prominent (Alpert et al., 1990; Bitan and Saaroni, 1992; Alpert et al., 2004a). Ziv et al. (2004) found that the factor dominating the interdiurnal variations of the summer temperature is the magnitude of the lowerlevel temperature advection by the Etesian winds, i.e. permanent westerly winds associated with the PT. Eighty-five percent of the midsummer days belong to one of the three types defined as PT. (For the distinctions between the types belonging to the PT system, see appendix). Figure 2 presents the average temperature for each of the six summer synoptic types, which cover 99.8% of the days, together with the correlation between the seasonal occurrence of each one and the SAT. The six types differ in their average temperatures by up to 5.6 ◦ C. The warmest type is the Red Sea Trough (RST, Figure A1)–eastern axis and the coolest is the strong (deep) PT. The most frequent type is the medium PT, whose average temperature is very close to the seasonal average, 21.7 ◦ C. Figure 2 and Table I (4th column) show the correlation between the seasonal occurrences of each synoptic type and the SAT. The most negatively correlated types are the strong PT (R = −0.53) and the shallow low north of Cyprus (R = −0.41), in agreement with their being the coolest types. These two types are infrequent (2.5% for the strong PT and 0.4% for the shallow low north of Cyprus) and occur only in part of the summer seasons. But, when they occur, they denote an exceptionally cool season (e.g. summer 1966). The role of these two types as indicators for a cool season is also expressed in the high deviation in their occurrence from the average in the six coolest seasons, at +1.9 standard deviations (STDs, Table I, right panel). The most positively correlated types are the weak PT and the RST–eastern axis; both imply weakening of the Etesian winds and higher temperatures. The RST–eastern axis does not occur in the majority of summers, but seasons in which this type is observed are extremely hot (deviation of +0.81 STD in the six hottest summers, Table I). One would expect that the temperature deviation from normal for each type will be proportional to the correlation Q. J. R. Meteorol. Soc. 136: 305–318 (2010) c 2010 Royal Meteorological Society Copyright 2.4 0.4 14.5 44.5 37.6 0.5 Average monthly occurrence (%) Correlation (R) with 850 hPa SAT −0.53 −0.41 −0.30 −0.20 +0.54 +0.41 850 hPa temp (◦ C) deviation from normal and STD −3.3 ± 2.4 −1.7 ± 2.3 +0.2 ± 2.5 −0.3 ± 2.5 +0.5 ± 2.5 +2.3 ± 2.9 −0.57 −0.29 −0.08 −0.61 +0.69 +0.81 6 hottest summers (+1.9◦ C above normal) +1.90 +1.87 +1.22 −0.35 −1.25 −0.41 6 coolest summers (−1.8◦ C below normal) Deviation in the occurrence from the average (STD units) Average monthly occurrences (%), 850 hPa temperature deviation from the normal (seasonal long-term average temperature) and STD, correlation with the SAT (those significant at the 0.05 level are in bold) and the deviation in the occurrence from the average (in STD units) for the upper and lower percentile, i.e. the six coolest and the six hottest seasons. Strong PT Shallow low north of Cyprus High west of Israel Medium PT Weak PT RST–eastern axis Synoptic types for July–August Table I. The midsummer (JA) synoptic types. Factors Governing Temperature Variation and Trend Over Israel Q. J. R. Meteorol. Soc. 136: 305–318 (2010) 309 310 H. Saaroni et al. between its occurrence and the SAT. This holds for the RST–eastern axis, the strong PT and the shallow lows north of Cyprus. An exception is the high west of Israel, which has an average temperature anomaly of only +0.2◦ C but is negatively correlated with the SAT (R = −0.30, significant at the 0.05 level). This can be explained by a tendency of this type to be correlated with types that are associated with low temperatures. Indeed, this type is significantly correlated with the two coolest types, the shallow low north of Cyprus and the strong PT (+0.52 and +0.51, respectively, Figure 3). Table I also shows the standardized anomalies (the anomaly of each type divided by its respective STD) in the occurrences of the summer synoptic types for the upper and lower tenths. The occurrence of the medium PT deviates negatively from the normal in both the coolest and hottest summers. It indicates that this type represents normal conditions, so when it is less frequent it ‘gives way’ to other types that produce anomalous conditions. As for the remaining types, for four of them the deviations in the coolest summers are significantly larger than those for the hottest seasons, except for the RST with eastern axis, whose deviation for the hottest summers is twice as large as that for the coolest ones. This can be attributed to the infrequent occurrence of this type (0.3 days/season), which, when appear causes severe warm events. For similar reasons (but with a reversed sign) the deviation in the occurrence of the shallow low north of Cyprus in the coolest seasons is over six times larger than that in the hottest seasons. In order to examine the sensitivity of the results to the number of extreme years, we repeated the analysis for the eight warmest and coolest summers. The ratio between the negative and positive deviations in the occurrence of the relevant synoptic types remained similar. As expected, the amplitude of the deviations was reduced by 10–20%. The multi-regression model for the SAT was applied to five potential predictors, three compound predictors based on the six synoptic types, the NAO anomaly and the global temperature anomaly. Each of the synoptic combined predictors is the difference between two synoptic types that were found negatively correlated with each other (Figure 3). These are the weak and the strong PT, the weak and the medium PT and the weak PT and the high to the west. The multi-regression was first operated using only the three synoptic compound potential predictors and yielded only one significant predictor, the difference between the occurrence of the weak and the strong PT with a correlation of +0.59 between the calculated and observed SATs. The multi-regression, using the entire set of potential predictors described above, yielded the following prediction equation: TJA = 20.19 + 0.0567 × fwPT−sPT − 0.662 × NAO + 1.199 × TglobJA , (1) where fwPT−sPT denotes the difference between the occurrence (in days per season) of the weak and the strong PT and TglobJA is the global average temperature anomaly for JA. The correlation between the modelled and the observed SAT for the full sample was 0.76, when all potential predictors were included, and 0.75 when only the three significant predictors included in Eq. (1) were used. The correlation implies that the seasonal distribution c 2010 Royal Meteorological Society Copyright of the surface pressure systems, together with the NAO anomaly and the global temperature anomaly, explain over 50% of the interseasonal variance of the high summer temperature. The next step was the holdout validation for the multiregression (see section 2, above). The results of the three experiments, each carried out for 40 randomly selected years, are shown in Table II. In two of the experiments, the significant predictors were the same as for the full sample, and in one, only two of the three predictors appear, but in the same order. The validation confirms the validity of the predictors found in the multi-regression done for the full sample. The ability of the prediction equation (1) to reconstruct extreme seasons can be inferred from Figure 4, which presents the observed and the modelled SAT for the study period. The standard error of the prediction was 1.1 ◦ C. The deviation of the average temperature for the upper and lower tenths, i.e. the six hottest and the six coolest seasons, is +1.9◦ C and −1.8◦ C, respectively (over 1.5 larger than the interannual STD, which is 1.1 ◦ C). The bias of the modelled temperature was −0.93◦ C for the upper and +0.57◦ C for the lower tenth, reflecting underestimation of the prediction equation for both hottest and coolest seasons. Underestimation of extremes is a well-known drawback of regression-based methods (von Storch, 1999). 3.2. Winter The temperature in the winter season is determined by the advection related to a large number of different synoptic systems (Goldreich, 2003). Several studies, based on casestudies, point to synoptic systems with which daily abnormal temperatures are associated. Such are continental polar outbreaks (Saaroni et al., 1996), rain events accompanied by low temperatures associated with lows located east of Cyprus (Kahana et al., 2002) and warm conditions associated with the Red Sea Trough (Dayan et al., 2001) and with highs east of Israel (Saaroni et al., 1998). Figure 5 shows the average temperature for 13 types with frequencies of ≥0.4% (hereafter ‘winter types’) together with the correlation between their occurrence and the SAT (see Table III for more details). The two coldest types are the deep low to the east (average temperature of +1.6◦ C, compared to the seasonal average of 5.8 ◦ C) and the shallow low to the east (+3.4◦ C). The two warmest systems are the RST–western axis (+11.3◦ C) and the Sharav Low west of Israel (+10.0◦ C). The characteristic temperatures of the extreme winter types deviate from the normal by ∼5◦ C, over twice the deviation of the summer types. This is in line with the interdiurnal temperature STD, which in the winter is over twice that of the summer (Ziv et al., 2004). The correlation between the occurrence of the winter types and the SAT agrees with the temperature deviation, i.e. types having positive correlation are warmer than average and vice versa, except for two types (Figure 5). The prominent example is the Sharav Low west of Israel, which is the second warmest type, but is not correlated with the SAT. This can be explained by its being positively correlated (+0.41) with the shallow low north of Cyprus, which is characterized by normal temperatures, and by its being negatively correlated (−0.26) with the high east of Israel, the second warmest type. Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Factors Governing Temperature Variation and Trend Over Israel 311 Figure 3. Average seasonal occurrence of each synoptic type and the correlation between each pair of types for the summer season (when the absolute value of R exceeds 0.4). Table II. Summary of the multi-regression model for July–August (bold), together with the three holdout validation experiments. Experiment Multi-regression Full sample Predictor no.1 Weak-strong PT Predictor no.2 Predictor no.3 Multi-correlation (R, stepwise) Correlation R, between calculated and observed temperature for the independent subsample NAO TglobeJA 0.75 Holdout validation Exp. 1 Exp. 2 Exp. 3 weak–strong PT NAO TglobeJA 0.75 weak–strong PT NAO TglobeJA 0.80 weak–strong PT 0.80 0.64 0.71 NAO – 0.76 Figure 4. The observed and calculated (Eq. (1)) SAT for the summer season. The multi-regression model for the SAT was applied to nine potential predictors including four individual synoptic types, three groups of types, the AO and the global temperature anomaly (TglobeDJFM ). The two ‘cold’ groups are defined as lows to the east (comprising the shallow and deep lows east of Cyprus) and lows to the north (comprising the shallow and deep lows north of Cyprus). The ‘warm’ group includes the five types which are mostly positively correlated with the SAT (high east of Israel, RST–western and central axes, high west of Israel and high over Israel). The correlation between the collective occurrence of the five warm types and the SAT was found to be +0.48. c 2010 Royal Meteorological Society Copyright The multi-regression yielded the following prediction equation: TDJFM = 7.768 − 0.0916 × fLOWSe − 0.595 × AO − 0.0492 × fLOWSn + 0.875 × TglobDJFM , (2) The correlation between the modelled and the observed SAT for the full sample was +0.81 when all the potential predictors were included, and +0.80 when only the four predictors found significant (Eq. (2)) were used. Following the absence of warm types in the prediction equation we tried several alternative combinations of warm groups, Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Average monthly occurrence (%) 7.1 1.3 13.8 10.6 6.2 5.7 16.1 5.8 1.0 10.4 6.6 5.4 8.9 Synoptic types for December-March (DJFM) High east of Israel RST – western axis High west of Israel RST – central axis High over Israel Cold low west of Cyprus RST – eastern axis Shallow low north of Cyprus Sharav low west of Israel High north of Israel Deep low north of Cyprus Deep low east of Cyprus Shallow low east of Cyprus Correlation (R) with 850 hPa SAT +0.27 +0.17 +0.17 +0.17 +0.15 +0.09 +0.07 −0.02 −0.04 −0.05 −0.21 −0.41 −0.52 850 hPa temp (◦ C) deviation from normal and STD +2.4 ± 3.5 +5.6 ± 3.3 −0.1 ± 3.8 +1.6 ± 4.0 +0.3 ± 3.1 +0.4 ± 3.5 +0.6 ± 4.1 +0.4 ± 4.2 +4.2 ± 4.9 −0.8 ± 3.9 −1.6 ± 3.3 −4.2 ± 3.2 −2.4 ± 3.5 c 2010 Royal Meteorological Society Copyright +0.00 +0.39 +0.28 +0.39 +0.65 +0.11 +0.21 +0.08 −0.01 −0.25 −0.84 −0.68 −0.40 −0.73 −0.30 −0.55 −0.26 −0.24 −0.07 +0.27 −0.03 +0.12 +0.08 +0.25 +0.59 +1.17 6 coldest winters (2.1 ◦ C below normal) Deviation in the occurrence from the average (STD units) 6 warmest winters (1.8 ◦ C above normal) Table III. As in Table I, but for the 13 most frequent types of the winter season (DJFM). 312 H. Saaroni et al. Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Factors Governing Temperature Variation and Trend Over Israel but none of them was found significant for the SAT. It is worth noting that when the synoptic predictors only were used, the correlation for those found significant was +0.66. The results of the holdout validation experiments are shown in Table IV. In each of the three experiments, three significant predictors were found. The lows to the east and the AO appeared in all of them, the lows to the north in two of them, and the TglobDJFM in one of them. The holdout validation implies that the regional cold advection and the large-scale circulation are most prominent for the regional winter temperature regime. Figure 6 compares the observed and the calculated (Eq. (2)) SAT for the winter season during the study period. The standard error of the prediction was 0.7 ◦ C. As for the summer, we examined the anomaly of the occurrence of the synoptic types for the 10% coldest and warmest winters (Table III). The deviation of the average temperature for the warmest and the coldest seasons from the normal is +1.8◦ C and −2.1◦ C, respectively (over 1.5 times larger than the interannual STD, at 1.1◦ C). Here also the prediction equation underestimates both extreme seasons, with a bias of −0.75 and +0.71 for the warmest and the coldest seasons, respectively. Unlike the summer, no consistent difference was found here between the coolest and warmest seasons in the occurrence of the types that are significantly correlated with the SAT (Table III). The same results were found when applied for the eight coolest and warmest winters. 3.3. The contributors to the long-term trend The trend of the observed temperature for the study period is +0.02 K y−1 (significant at the 0.05 level) for the summer season and +0.002 K y−1 (non-significant) for the winter season. The contributions of the three factors, the synoptic, the large-scale and the global radiative forcing, are summarized in Table V. In spite of the warming trend observed in both seasons, not all of the factors make a positive contribution. The global radiative forcing is the largest in both seasons. The synoptic factor, also being positive, is considerably more pronounced in the summer. The large-scale factor is negative in both seasons. This can be explained by the combination of the positive trend in both the AO and the NAO during most of the study period till the mid-1990s (Holland, 2003; Overland and Wang, 2005; IPCC, 2007) and the significant negative correlation between the AO (in the winter) and the NAO (in the summer) and the 850 hPa SAT over the EM (Figure 7). The contribution of the synoptic factor can be inferred from the trend observed in the occurrence of the types found to be significant predictors. Figure 8(a) shows the trend of the two types included in the prediction equation of the summer season, i.e. the weak and the strong PT. The weak PT occurrence increased at a rate of +83%/100 years, while that of the strong PT decreased at a rate of −42%/100 years. The extreme reversed trends explain the high positive contribution (+1.28 K/100 y) of the synoptic factor in the summer. Figure 8(b) shows the trend of the occurrence for the two groups included in the prediction equation of the winter season, i.e. the lows to the north and the lows to the east. The occurrence of lows to the north decreased at a rate of −77%/100 years, while that of the lows to the east increased at a rate of +9%/100 years. The contradictory trends of the two groups of these cool types explain the small c 2010 Royal Meteorological Society Copyright 313 (positive) contribution (+0.30 K/100 y) of the synoptic factor in the winter. 4. Discussion and conclusions This study examines the ability of the interannual variability in the occurrence of the EM synoptic types, the large-scale circulations and the global temperature to explain that of the 850 hPa temperature in Israel. The analysis was done separately for the midsummer months (JA) and the winter months (DJFM), each characterized by a specific collection of prevailing synoptic types. The differences between the average temperatures for the days belonging to the various synoptic types deviated by up to ±3◦ C for the summer and ±5◦ C for the winter, similar to the interdiurnal STD of the temperature for the respective seasons (e.g. Ziv et al., 2004). For the summer, the prevailing six synoptic types were transformed into three compound predictors. One of them, the difference between the occurrences of the strong PT (the coolest type) and the weak PT (the second warmest) was found significant, explaining 35% of the interannual variance of temperature. For the winter, the 13 types were grouped into seven potential predictors. Two groups (containing four types) were found significant. These are the lows to the east and the lows to the north, explaining 44% of the interannual temperature variance. The limited variance explained by the synoptic factor alone suggests that additional factors should be examined. We incorporated two additional factors: large-scale circulations, which were found to be correlated with the regional temperature (the NAO for the summer and the AO for the winter), and the global temperature, as a representation of the global radiative forcing. Both were found significant predictors for the summer and the winter. The interannual variation of the temperature explained by the full set of significant predictors was 56% for the summer and 64% for the winter. A weakness of prediction equations is their tendency to underestimate extreme seasons. The bias in the prediction of the SAT for the upper and lower tenths for the summer was 49% for the hot seasons and 32% for the cold seasons. For the winter, the bias was 41% for the hot seasons and 34% for the cold ones. The individual contribution of each of the three factors to the long-term temperature trend was estimated. The contribution of the global radiative forcing was large and positive in both seasons. The contribution of the synoptic factor, though positive in both seasons, was found to be four times larger in the summer. The contribution of the large-scale factor, though negative in both seasons, was found to be three times larger in the winter. The considerable warming in the summer imparted by the synoptic factor was found to be the result of rapid increase in the occurrence of the weak PT ‘on the account’ of the strong PT. The cumulative warming contribution of both the global radiative forcing and the synoptic factor has a threatening implication, especially if they are correlated. Indeed, the correlation between these two factors was significantly high (R = +0.47). This implies that the temperature over the EM may continue to rise more rapidly than the global one. To summarize, the results of this study demonstrate how the combination of the synoptic-scale systems, the large-scale circulations and the global radiative forcing Q. J. R. Meteorol. Soc. 136: 305–318 (2010) 314 H. Saaroni et al. Figure 5. Average 850 hPa temperature (light grey columns), and the correlation coefficient (R) with the occurrence (dark grey columns), of the most frequent winter (DJFM) synoptic types. The long-term seasonal average temperature is denoted by the solid horizontal line. The standard deviation of the temperature is presented in Table III. Table IV. As in Table II, but for the months December–March. Experiment Multi-regression full sample Predictor no.1 Lows to the east Predictor no.2 Predictor no.3 AO Lows to the north Predictor no.4 Multi-correlation (R, stepwise) Correlation R, between calculated and observed temperature – for the independent sub-sample T globDJFM 0.80 Holdout validation Exp. 1 Exp. 2 Exp. 3 Lows to the east AO Lows to the north – 0.79 AO Lows to the east TglobDJFM Lows to the east – 0.83 Lows to the north AO 0.70 0.63 0.77 – 0.76 Figure 6. The observed and calculated (Eq. (2)) SAT for the winter season. controls the temperature over the EM. The approach Acknowledgements elaborated here may be useful in predicting the future temperature regime, based on synoptic features and large- This study was supported by the Israeli Science Foundation scale circulations extracted from output of climatic models. (ISF, grants no. 764/06 and no. 828/02). Partial support c 2010 Royal Meteorological Society Copyright Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Factors Governing Temperature Variation and Trend Over Israel 315 Figure 7. The correlation between (a) the AO in December–March and (b) the NAO in July–August with the 850-hPa SAT over the MB, based on the NCEP/NCAR CDAS-1 archive (Kalnay et al., 1996; Kistler et al., 2001). Table V. The individual contributions of the synoptic, large-scale and the global radiative forcing factor (K/100 y) for the period 1950–2008. Factor Summer Winter Synoptic Large-scale Global radiative forcing Total Observed +1.28 −0.34 +1.57 +2.50 +2.13 +0.30 −1.03 +1.28 +0.55 +0.23 Appendix The Eastern Mediterranean Synoptic Systems and Types Alpert et al. (2004b) defined five synoptic systems, subdivided into 19 types, according to their intensity and location with respect to Israel. The types’ definition is based on the GPH, wind and temperature fields at the 1000-hPa level, taken from the NCEP-NCAR initialized data (Kalnay et al., 1996; Kistler et al., 2001). The systems and types are three types of the Red Sea Trough (RST), three types of the Persian Trough (PT), four types of highs, seven types of Mediterranean Cyclones, or Cyprus Lows (referred hereafter as ‘lows’) and two types of North African cyclone, or Sharav Lows (SL). Each map shows one of the types (Figures A1–A5), belonging to each of the synoptic systems, and was taken from the date on which the conditions were the most representative for the pertinent synoptic type, i.e. the specific day was located right in the middle of the respective cluster in the states’ space. The average annual frequency and STD of each type and the months in which it is most frequent are specified in Table AI and their description follows. A1. Figure 8. Time series and LTT of the occurrence (% days per season from normal) (a) for the summer types included in the prediction equation, i.e. the weak (grey) and the strong (black) PT, and (b) for the two groups included in the prediction equation of the winter season, i.e. the lows to the north (black) and the lows to the east (grey). is due to the GLOWA-JR funded by the BMBF and Ministry of Science (MOS), Israel. NCEP Reanalysis data was provided by the NOAA-CIRES Climate Diagnostics Center, Boulder, Colorado, USA, from their website at http://www.cdc.noaa.gov/. c 2010 Royal Meteorological Society Copyright Red Sea Trough (RST) The RST is a non-migratory pressure trough extending from the south. It is most frequent during the autumn and significant also during the winter and fades by mid-spring (Alpert et al., 2004a). The wind direction and consequently the weather conditions in Israel are highly dependent on the position of the RST axis (Saaroni et al., 1998; Tzvieli and Zangvil, 2005). Therefore, its location with respect to Israel was used for categorizing the three types of the RST. The first is the RST–eastern axis, which induces a northwesterly maritime flow over Israel. The second, the RST–western axis, induces southeasterly warm and dry flow and the third is the RST–central axis, located over Israel (Figure A1). When combined with an upper-level trough, the RST may become active and produce local showers, especially over south and east Israel (Kahana et al., 2002). The annual frequency of the RST (all three types) is 19%. Q. J. R. Meteorol. Soc. 136: 305–318 (2010) 316 H. Saaroni et al. Figure A1. SLP (hPa) for a selected date representing the synoptic system of the Red Sea Trough, based on the NCEP/NCAR CDAS-1 archive (Kalnay et al., 1996; Kistler et al., 2001). Figure A3. As in Figure A1 but for a synoptic type of Highs. Figure A2. As in Figure A1 but for a synoptic type of the Persian Trough. Figure A4. As in Figure A1 but for a synoptic type of the Mediterranean Cyclone. A2. Persian Trough (PT) pressure and weak maritime advection (Figure A2), and the The PT is also a non-migratory lower-level trough ‘deep’ (strong) PT has the lowest pressure and the strongest extending from the Asian monsoon over the Persian Gulf maritime cool advection. toward southern Turkey and the Aegean Sea. This system persists during the summer months, mostly from June A3. Highs to September, and its annual frequency is 31%. The PT induces northwesterly flow over the EM, known as the Four types of highs were defined according to their location Etesian wind, which transports relatively cool and humid with respect to Israel: highs located to the east, to the west, to air toward the EM (Alpert et al., 1990; Saaroni and Ziv, the north and over Israel. Their annual frequency is 32%, and 2000; Ziv et al., 2004). Dayan et al. (2002) divided the PT they are observed all year round. The highs to the west are into three types, ‘deep’, ‘moderate’ and ‘shallow’, according the most frequent (Tables III and A1), typically connected to the pressure difference between Cairo and Nicosia. They to the Azores High (the Subtropical High) through a ridge found that the three types differ in the wind speed they extending along North Africa. They induce northwesterly produce, being maximal under a ‘deep’ PT and minimal humid flow from the Mediterranean Sea onshore. The rest under a ‘shallow’ one. The semi-objective classification of the highs, including a small proportion of the highs also divides the PT into three types, in line with Dayan to the west, are connected to the Euro-Asian polar highs, et al. (2002), according to the depth of the trough and which dominate in the cool season (Saaroni et al., 1996). the pressure gradient. The ‘weak’ PT has relatively high The highs east of Israel also induce southeasterly warm and c 2010 Royal Meteorological Society Copyright Q. J. R. Meteorol. Soc. 136: 305–318 (2010) Factors Governing Temperature Variation and Trend Over Israel 317 are the major source of the rainfall and floods in Israel (Goldreich, 2003). Shay-El and Alpert (1991) showed that they transport cold air originating from eastern Europe into the southeastern Mediterranean, which becomes moist and unstable there, and so produces convective and widespread rains over Israel. Seven types of low are defined according to their momentary location with respect to Cyprus (along their path, normally from east to west) and their depth (illustrated in Figure A4). These criteria determine the pressure gradient and the wind direction and speed. An individual low can change its type definition while moving across the study region. A5. Sharav Lows (SL) These warm and shallow cyclones originate mainly in North Africa. They are most frequent during March–May, peaking in April, and move toward the EM along the Figure A5. As in Figure A1 but for the synoptic type of the North African North African shoreline, much faster than do the Cyprus (Sharav) Cyclone. Lows (Alpert and Ziv, 1989). Two SL types are defined according to their location relative to Israel. When the dry flow, sometimes strengthening to gale force (Saaroni SL is located to the west, Israel is affected by its warm et al., 1998). When located over Israel, the highs cause calm sector, typified by southeasterly winds, resulting in warm and dry conditions. While it crosses Israel (Figure A5), weather. southerly winds induce extremely warm and dry conditions (Sharav). Both SL types are often accompanied by dust A4. Mediterranean Cyclones (Cyprus Lows) storms. It is worth noting that since the synoptic types are defined These cyclones, which are midlatitude disturbances, have an annual frequency of 17% and are most frequent in according to the 1000-hPa fields alone, they reflect mainly the cool season, i.e. DJFM (Alpert et al., 2004a). They advective features. Table A1. Average annual frequencies and standardized interannual STD (%) for all the synoptic types. Synoptic type RST - eastern axis RST - western axis RST - central axis Total for the RST Weak PT Medium PT Strong PT Total for the PT High east of Israel High west of Israel High north of Israel High over Israel Total for the highs Deep low north of Cyprus Deep low east of Cyprus Deep low south of Cyprus Low west of Cyprus Shallow low north of Cyprus Shallow low east of Cyprus Shallow low south of Cyprus Total for the lows Sharav Low west of Israel Sharav Low over Israel Total for the Sharav Lows Average annual frequency (%) 12.0 0.7 6.4 19.1 14.3 14.7 2.1 31.1 3.3 19.9 4.4 4.3 31.9 2.7 2.3 0.1 2.2 4.7 4.6 0.1 16.7 0.6 0.6 1.2 c 2010 Royal Meteorological Society Copyright Interannual STD (%) Main period of occurrence Main peak 21 61 39 October-April Nov-Mar October-May Oct–Nov Dec Nov 24 22 87 May-Oct May-Sep May-Sep Aug Jul Jun, Sep 39 19 36 37 Nov-Mar All year round Nov-Apr October-May Nov-Dec May, Oct Dec April 43 46 192 44 29 36 221 Dec-Mar Nov-Apr Dec-Mar Nov-Mar late Sep-May Oct-Apr Dec- Feb Feb Feb Feb Dec, Feb Mar-Apr Jan Dec 79 76 Jan-May Mar-May, Oct Mar April Q. 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