climate Article Statistical-Synoptic Analysis of the Atmosphere Thickness Pattern of Iran’s Pervasive Frosts Iman Rousta 1 , Mehdi Doostkamian 2 , Esmaeil Haghighi 3, * and Bahare Mirzakhani 4 1 2 3 4 * Climatology, Department of Geography, Yazd University, Yazd 8915818411, Iran; irousta@yazd.ac.ir Climatology, Department of Geography, Zanjan University, Zanjan 3879145371, Iran; s.mehdi67@gmail.com Climatology, Department of Geography, Tabriz University, Tabriz 5166616471, Iran Geomorphology, Department of Humanities, Mohaghegh Ardabili University, Ardabil 5519911367, Iran; bahare.mirzakhani@gmail.com Correspondence: es_haghighi@ut.ac.ir; Tel.: +98-91-7190-2098 Academic Editor: Yang Zhang Received: 18 July 2016; Accepted: 22 August 2016; Published: 26 August 2016 Abstract: The present study aimed at analyzing the synoptic pattern of atmospheric thickness of winter pervasive frosts in Iran. To this end, the data related to the daily minimum temperature of a 50-year period (1961–2010) were gathered from 451 synoptic and climatology stations. Then, the instances in which the temperature was below 0 ◦ C for at least two consecutive days and this phenomenon covered at least 50% of the entirety of Iran were selected. Subsequently, the atmosphere thickness pattern was extracted for these days, with the representative day being identified and analyzed through cluster analysis. The results showed that the Siberian high pressure plays a significant role in the occurrence of pervasive frosts in Iran. In some other cases, the northeast–southwest direction of this pattern leads to its combination with the East Europe high pressure, causing widespread frosts in Iran. Furthermore, the interaction between counter clockwise currents in this system and the clockwise currents in the Azores high pressure tongue directs cold weather from northern parts of Europe toward Iran. The formation of blocking systems leads to the stagnation of cold weather over Iran, a phenomenon that results in significant reduction of temperature and severe frosts in these areas. In addition, the omega pattern (the fifth pattern) and Deep Eastern European trough and polar low pressure pattern (the fourth pattern) were the most dominant and severe frost patterns in Iran respectively. Keywords: frost; synoptic pattern; atmosphere thickness; Iran 1. Introduction Changes in the frequency and intensity of climatic events are an indicator of climate change. Due to their severity and sudden occurrence, extreme frosts have a profound effect on ecosystems and human societies. They are the result of certain atmospheric conditions and atmospheric circulation [1]. Climatic zoning is often performed based on climatic variables. By so doing, the role of all climatic variables is taken into account in determining borders between various areas [2]. In studies related to anomalies of climate variables in each area, the behavior of these variables is investigated in the light of their long-term average. The values that are smaller or bigger than the long-term average, are, respectively, regarded as negative and positive anomalies [3]. Numerous studies of synoptic analysis of East Asian cold waves have indicated that the dominant pattern in these areas is the Siberian high pressure [4,5]. Many researchers have intended to identify anomaly patterns [6–8]. Some others have investigated spatial-temporal anomalies of climate variables [9–11]. Lau et al. (2006: 402–411) have studied circulation patterns that lead to negative temperature anomalies, with the results demonstrating a significant relationship between sea surface temperature anomalies along the Atlantic Climate 2016, 4, 41; doi:10.3390/cli4030041 www.mdpi.com/journal/climate Climate 2016, 4, 41 2 of 19 and South Pacific, on the one hand, and the occurrence of extreme temperatures, on the other [12]. Furthermore, Prieto et al. [13,14], who studied extreme winter temperatures, and Guirguis et al. [15], who investigated the occurrence of wintry heat and cold waves, showed that North Atlantic Oscillation (NAO) influences the occurrence of cold waves. Pezza & Ambrizzi [16] have also conducted some studies in the realm of synoptic-dynamic meteorology. In a study in Iran, Shahbaiye Kotanaie [17] used cluster analysis on the matrix of sea level pressure data of cold days to come up with the synoptic analysis of wintry cold waves, with the results yielding five influential atmospheric patterns. The researcher also showed that the formation of cold waves is simultaneous with positive anomalies of sea level pressure and negative anomalies of the height of 55 hPa across the country. Moreover, the researcher concluded that the patterns of atmospheric middle level have a considerable effect on the formation and continuation of cold waves. Thus, the strongest, most widespread, and most consistent cold wintry waves are formed when blocking systems are located on Eastern Europe and their eastern troughs are positioned over Iran. Akbari& Masoodian [18] studied the role of macro-scale pressure anomalies in Iran’s temperatures. Mohammadi [3], on the other hand, concentrated on identifying spatial and temporal anomalies of different climate variables of Iran. Analysis of sea level pressure anomalies on days of extreme cold indicated that the most extreme and pervasive frosts of Iran are simultaneous with four patterns of sea level pressure anomalies [19]. Some researchers have demonstrated that severe frosts and extreme temperatures are influenced by thermal advection patterns [20–22]. Some of these studies have adopted synoptic-statistical analysis [23] using the index of normalized temperature deviation [21]. Others have adopted cluster analysis [24,25] using the Ward method [1]. Pervasive frosts occur as a result of pouring cold air from higher latitudes. In such a situation, since air mass density goes up, thickness of the atmosphere declines. Thus, in the current study, attempts were made to investigate Iran’s frosts by concentrating on the effect of atmosphere thickness (which is itself influenced by the increase/decrease of air mass density). Due to frosts, Iran incurs heavy financial losses each year in agriculture and animal husbandry. Frosts impose limitations on agriculture. They also play an important role constructing roads, dams, and bridges, hence affecting industry and transportation. On the other hand, the occurrence of frosts in mountainous areas leads to numerous problems such as traffic blocking and car crashes. Consequently, frosts are regarded as an important climate risk and receive a lot of attention from climatologists. 2. Materials and Methods The present study aimed at synoptic analysis atmosphere thickness patterns of Iran’s pervasive frosts. To this end, two databases were used: 1. Environmental data: This group of data was obtained through interpolation of values of daily minimum temperatures registered in stations from 1961 to 2010. The data over these 50 years, which were collected from 450 synoptic and climatology stations of Iran’s Meteorological Organization (IRIMO), were sorted and interpolated (Figure 1). The data of this database have a spatial resolution of 15 km × 15 km, which have been produced in the form of Lambert Conformal Conic Projection, and arranged in the form of a 7187 × 18262 matrix with an S makeup (time in rows and place in columns). After collecting the data, the next step was identifying frosts in each of the cells. In the majority of climate studies, an important part of the research is defining the studied variable because it will influence other research steps. Many researchers have considered temperatures below 0 ◦ C as the cut-off criterion for identifying frosts [26,27]. In the current study, a condition should meet the following three criteria to be considered as an example of frost in Iran: • • • The temperature in the particular day should be less than 0 ◦ C. This low temperature should last for at least two consecutive days. The temperature should have a minimum coverage of 50% (with the assumption of spatial continuity). Climate 2016, 4, 41 3 of 19 Climate 2016, 4, 41 3 of 19 Based on the first criterion, only very low temperatures were taken into account for each of Based on the first criterion, very low were taken into for eachFurthermore, of the the 7187 cells, hence observing the only relativity of temperatures frost for different areas ofaccount the country. 7187 cells, hence observing the relativity of frost for different areas of the country. Furthermore, the second criterion (i.e., continuity of low temperature for at least two consecutive days)the makes it second criterion (i.e., continuity of low temperature for at least two consecutive days) makes it possible to distinguish systematic frosts from local ones that are caused by environmental factors possible to distinguish systematic frosts from local ones that are caused by environmental factors (e.g., height) or clear which leads totoradiation cooling. (e.g., height) or weather, clear weather, which leads radiation cooling. Figure 1. Distribution pattern of the studied stations. Figure 1. Distribution pattern of the studied stations. 2 2. Weather data: This part of the data, which was used for calculating atmosphere thickness, Weather data: This of the data, which waswere usedobtained for calculating atmosphere thickness, consisted of hPapart geopotential height data and from National Centers for Environmental Prediction/National Atmospheric Researchfrom (NCEP/NCAR). consisted of hPa geopotential heightCenter datafor and were obtained National These Centers for data havePrediction/National a spatial resolution of Center 2.5 × 2.5for degree of arc. Considering the research topic, These the Environmental Atmospheric Research (NCEP/NCAR). data researchers intended to include all of the systems that are effective in the formation and have a spatial resolution of 2.5 × 2.5 degree of arc. Considering the research topic, the researchers continuation of frost waves in Iran. Therefore, the study covered the atmospheric system ranging intended to include all of the systems that are effective in the formation and continuation of frost from −10 degrees west longitude to 100 degrees east longitude and 10 to 70 degrees north waves latitude. in Iran. Another Therefore, theofstudy covered the systemis ranging 10 degrees group maps that is used inatmospheric synoptic climatology thickness from maps.− They west longitude to 100 degrees east longitude andranges 10 to from 70 degrees north Another group of indicate atmosphere thickness, which usually 500 to 100 hPa.latitude. This is the thickness that is considered for the entire atmosphere. In other words, studying the thickness between maps that is used in synoptic climatology is thickness maps. They indicate atmosphere thickness, these tworanges layers (500 and 1000 hPa) hPa. is representative the statusthat of allislayers. The following which usually from 500 to 100 This is theofthickness considered for the entire equation, which is known as hypsometric equation, is used to calculate atmosphere thickness: atmosphere. In other words, studying the thickness between these two layers (500 and 1000 hPa) (1) = following − equation, which is known as hypsometric is representative of the status of all layers. The equation, usedused to calculate atmosphere thickness: Thisisstudy the environment to circulation approach to identify and analyze the patterns that are effective in the formation and continuation of frosts in Iran. After identifying atmosphere thickness, = cluster was 100 utilized to come up with the Thickenss HGTanalysis (1) 500 − HGT thickness pattern of Iran’s frosts. In the next step, cluster analysis was conducted to categorize the thickness pattern data and identify the representative days. Cluster analysis is a data analysis This study used the environment circulation to identify and analyze the patterns that procedure through which data aretoclassified intoapproach groups according to predefined features. This are effective in the formation and continuation of frosts in Iran. procedure is used to reduce complexity by categorizing similar data in a single group. Thus, the minimum and maximum variance can be, respectively, observed within to andcome between groupthe data. After identifying atmosphere thickness, cluster analysis was in utilized up with thickness pattern of Iran’s frosts. In the next step, cluster analysis was conducted to categorize the thickness pattern data and identify the representative days. Cluster analysis is a data analysis procedure through which data are classified into groups according to predefined features. This procedure is used to reduce complexity by categorizing similar data in a single group. Thus, the minimum and maximum variance can be, respectively, observed in within and between group data. There are different methods for calculating the distance between two points. One of the most popular methods is the Euclidean distance. Climate 2016, 4, 41 4 of 19 Climate 2016, 4, 41 4 of 19 There are different methods for calculating the distance between two points. One of the most popular The Lund correlation method was used to identify the representative days for each of the methods is the Euclidean distance. atmosphere thickness clusters. That is, the day with the highest degree of similarity to other days The Lund correlation method was used to identify the representative days for each of the of each cluster was usedclusters. as the representative cluster. Correlation coefficient shows atmosphere thickness That is, the day day with of thethat highest degree of similarity to other days of the degree of similarity between the patterns in two different maps. Indices of more than 0.5 are indicative each cluster was used as the representative day of that cluster. Correlation coefficient shows the of a strong Therefore, in the current study, the dayIndices that had highest correlation degree correlation of similarity[7]. between the patterns in two different maps. of the more than 0.5 are coefficient withofother days of a cluster selected as the representative day.that had the highest indicative a strong correlation [7]. was Therefore, in the current study, the day correlation coefficient with other days of a cluster was selected as the representative day. 3. Results and Discussion 3. Results and Discussion Figure 2 illustrates the dendrogram obtained as a result of conducting cluster analysis on the Figure 2 illustrates the dendrogram obtained a result of conducting cluster analysis on the atmosphere thickness of Iran’s frost events. In thisasfigure, atmosphere thickness maps were drawn atmosphere thickness of Iran’s frost events. In this figure, atmosphere thickness maps were drawn for the representative days of different groups (two to five groups). Then, the maps of representative for the representative days of different groups (two to five groups). Then, the maps of representative days of different groups were compared and, through trial and error, the appropriate place for cutting days of different groups were compared and, through trial and error, the appropriate place for cutting the map and selecting suitable groups for extracting patterns were determined. Based on the analysis the map and selecting suitable groups for extracting patterns were determined. Based on the analysis outcomes, fivefive groups were identified. the number numberofofdetected detected frost events and the outcomes, groups were identified.In Intotal, total, the frost events waswas 1622,1622, and the date date and and features of the representative groupare aredisplayed displayed Table features of the representativedays daysof of each each group in in Table 1. 1. Figure 2. The dendrogram obtained conductinggroup group analysis atmosphere thickness. Figure 2. The dendrogram obtainedthrough through conducting analysis on on atmosphere thickness. Table Featuresofofthe the representative representative days the five groups. Table 1. 1. Features daysforfor the five groups. The The Date of TheCoverage Coverage The of of the the Representative Frequency Frequency Representative Representative Day (%) The WholeWhole The Date of thethe Pattern Pattern Frost Event (%) Representative Day Siberian high-pressure Siberian highand European pressure and high-pressure Frost Event (%) 20.9 1 January 2007 20.9 European high- Deep trough pressure pattern of Eastern 11.09 EuropeDeep and trough pattern of Eastern Europe Sudanese low andpattern Sudanese low Dual-core of Siberian 10.04 high-pressure Day 1 January 2007 13 November 1972 11.09 13 November 1972 Day (%) 75.93 75.93 57.84 57.84 339 339 180 180 Average Average Temperature AverageAverage Temperature of the Temperature of the Temperature Representative Day of the Group Representative of the Group Day −1.73 −5.05 −1.73 −5.05 −1.07 −1.07 −4.20 −4.20 4 January 1986 63.36 163 −1.45 −0.93 Deep Eastern European trough and polar low pressure pattern 25.77 22 February 1961 79.95 418 −2.06 0.51 Omega pattern 32.18 22 December 1960 59.81 522 −2.30 −3.30 pressure Deep Eastern European trough and polar low pressure pattern Climate 2016, 4, 41 Omega pattern 25.77 22 February 1961 79.95 418 −2.06 0.51 32.18 22 December 1960 59.81 522 −2.30 −3.305 of 19 High-Pressure 3.1. The First Pattern: Siberian High-Pressure and European High-Pressure Figure 33illustrates illustratesthethe atmosphere thickness pattern forfirst thegroup. first group. This (i.e., pattern (i.e., Figure atmosphere thickness pattern for the This pattern Siberian Siberian high-pressure and European high-pressure) covers 20.9% frosts. of Iran’s As the figure high-pressure and European high-pressure) covers 20.9% of Iran’s As frosts. the figure indicates, indicates, in this pattern, the atmosphere thickness system of Siberian high-pressure stretches from in this pattern, the atmosphere thickness system of Siberian high-pressure stretches from northeast to northeast to Iran. Thus,ofthe tonguehigh-pressure, of Siberian high-pressure, which hasofa southwest insouthwest most areasinofmost Iran.areas Thus,ofthe tongue Siberian which has a thickness thickness of 5250almost meters, almost to the of leads Iran. This tongue leads to the of cold 5250 m, spreads tospreads the center of Iran. Thiscenter tongue to the pouring of cold airpouring from northern air from northern latitudes. As the thickness Siberian high-pressure tongue increases, the thickness latitudes. As the thickness Siberian high-pressure tongue increases, the thickness pattern of European pattern of European with contourinfluences of 5300 meters, mainly influences southern half low-pressure, with alow-pressure, contour of 5300 m,a mainly the southern half of thethe country. Many of the country. Many researchers believe that Lake Baikal is area the most important area for Siberian cold researchers believe that Lake Baikal is the most important for Siberian cold high-pressure [28]. high-pressure [28]. However, thickness plays a significant role in As atmospheric However, atmosphere thickness atmosphere plays a significant role in atmospheric phenomena. shown by phenomena. As shown by Alijani, thickness maps can be aprecipitation good guide type, for estimating precipitation Alijani, thickness maps can be a good guide for estimating the front location, and type, the front location, and many other phenomena [27]. many other phenomena [27]. anomalies and thickness (in meters) for the representative days of the first Figure 3.3.Atmosphere Atmosphere anomalies and thickness (in meters) for the representative dayspattern. of the first pattern. In cold weather, air is contracted and atmosphere thickness reduces, whereas, in hot weather, atmosphere thicknessair increases. Therefore, it is observed that negative of hot atmosphere In cold weather, is contracted and atmosphere thickness reduces,anomalies whereas, in weather, thickness have stretched all over Iran. The tongue of these anomalies reaches −300 meters in some atmosphere thickness increases. Therefore, it is observed that negative anomalies of atmosphere areas of Russia. The thickness of this tongue declines in lower latitudes and reaches −100 meters in thickness have stretched all over Iran. The tongue of these anomalies reaches −300 m in some areas of central areas of Iran. The largest intensity of negative (between −200 andm−150 meters) can Russia. The thickness of this tongue declines in loweranomalies latitudes and reaches −100 in central areas be observed in the northern part of Iran. In addition to the area from which the Siberian high-pressure of Iran. The largest intensity of negative anomalies (between −200 and −150 m) can be observed in enters Iran’s part atmosphere, local and regional factors, accumulation topographiesenters and higher the northern of Iran. In addition to the area from like which the Siberianof high-pressure Iran’s latitudes, provide a suitable condition for intensifying anomalies. only in a small area atmosphere, local and regional factors, like accumulationnegative of topographies andThus, higher latitudes, provide of southeast of Iran have the atmosphere thickness anomalies reached 50 meters on this day. a suitable condition for intensifying negative anomalies. Thus, only in a small area of southeast of Northwestern areas, whichthickness are located in the western of on thisthis pattern, are largely influenced by it. Iran have the atmosphere anomalies reachedpart 50 m day. Northwestern areas, which On this day,in the average temperature the northwestern reached −12 °COn (Figure 4B). the At the same are located the western part of thisofpattern, are largelyarea influenced by it. this day, average temperature of the northwestern area reached −12 ◦ C (Figure 4B). At the same time, atmosphere thickness has reduced from the east to the west causing a discontinuity. This is the areas where the abovementioned air mass collides with cold weather coming from higher latitudes (northern Russia) and significantly decreases temperature in this area. Based on the pattern of atmosphere thickness lines, masses of cold air have entered Iran from northeast and have moved toward southwest. These masses come from northern parts of the country and Siberia and have caused cold weather in most Climate 2016, 4, 41 6 of 19 parts of Iran, hence the reduction of thickness in northern latitudes. Figure 4 displays some statistical features for the first group and its representative day. Figure 4A,B, shows the spatial distribution of mean and coefficients of variation for the first group and its representative day. As the figure illustrates, in the first group, the highest coefficient of spatial variation for Iran’s frosts belong to a strip along the Zagros mountain ranges. In the central part of Iran, the coefficient of variation is more than 1500%, which indicates high variability of frosts in this area. On the other hand, the lowest registered average temperature is −8 ◦ C, which was registered for the central Zagros and northwest of Iran. In the first group, the majority area of the country (around 41%) has an average temperature ranging from −7.69 to −2.17 ◦ C (Table 2). For the representative day, however, almost 50% of the country’s area has experienced a temperature between −11.11 and −2.31 ◦ C, which is the lowest recorded temperature. Thus, in the representative day, the country has experienced very low temperatures to the extent that about 6% of Iran’s area (which is mainly located in northern part of the country) has experienced temperatures lower than −20 ◦ C (Table 2). Figure 4C shows the spatial distribution of frosts’ anomalies and center of masses for the first group. The compact nature of the center of masses shows that frosts follow a regular pattern, while the dispersion of this center indicates that frosts follow an irregular pattern. The center of masses for the first group shows that Iran’s frost distribution which is influenced by the thickness patterns of Siberian high-pressure and European High-pressure follows an irregular distribution. In the first group, 47.2% of the country’s area has negative anomalies (Table 2). However, on the representative day, more than 55% of Iran’s area has negative anomalies (Table 2). In this first group, the severest anomalies of Iran’s frosts happen in the form of a strip along the Zagros mountain ranges and north and northwest topographies. Figure 4D illustrates the distribution of frosts in the first group. Accordingly, in the first group, the largest area of the country has had a frequency of more than 300 days. In contrast, the southern half of the country does not have any frost. Spatial distribution of frosts in the first group indicates that, in almost all parts of the country, frost has experienced a downward trend (Figure 4E). Table 2. Percentage of the covered area of different classes of average temperature, anomalies and frequency of frosts for the first group. Overall Temperature of the First Group Area (%) Representative Day Temperatures Area (%) −13.21 to −7.69 −2.17 to −7.69 3.34 to −2.17 8.87 to 3.34 14.4 to 8.87 10.8 41.1 30.5 13.1 4.5 −27.28 to −19.91 −19.91 to −11.11 −11.1 to −2.31 −2.31 to 6.51 6.51 to 15.32 5.3 11.8 48.6 28.8 5.5 The Frequency of Frost Days Area (%) Representative Day Anomaly Area (%) 0 to 69 69 to 139 139 to 209 209 to 279 279 to up 20.5 5.5 8.8 14.3 50.9 Negative anomalies Positive anomalies Anomalies the whole group Negative anomalies Positive anomalies 56.4 43.6 Area (in percentage) 47.2 52.8 Climate 2016, 4, 41 Climate 2016, 4, 41 7 of 19 7 of 19 Figure The firstpattern: pattern:(A) (A)Spatial Spatial distribution distribution of ofof variation Figure 4. 4. The first of temperature temperatureaverage averageand andcoefficient coefficient variation for the whole group; (B) spatial distribution of temperature average and coefficient of variation forfor for the whole group; (B) spatial distribution of temperature average and coefficient of variation the representative day; (C) anomalies and center of masses for the whole group; (D) anomalies for the the representative day; (C) anomalies and center of masses for the whole group; (D) anomalies for the representative day; (E) frequency of frosts for the whole group; and (F) spatial distribution of the representative day; (E) frequency of frosts for the whole group; and (F) spatial distribution of the trend trend of Iran’s frosts for the whole group. of Iran’s frosts for the whole group. 3.2. The Second Pattern: Deep trough Pattern of Eastern Europe and Sudanese Low Pressure 3.2. The Second Pattern: Deep Trough Pattern of Eastern Europe and Sudanese Low Pressure This pattern encompasses 11.03% of Iran’s frosts. Based on the thickness map (Figure 5), a high This pattern 11.03% ofmeters, Iran’s frosts. Based on theEurope. thickness map (Figure 5), a high pressure center, encompasses with a thickness of 5250 is located on central In addition, the Siberian pressure center, with a thickness of of 5250 m,meters, is located on central Europe. InAaddition, the Siberian high high pressure, which has a height 4950 is located over Mongolia. weak tongue of Siberian pressure, which has a height of 4950 m, is located over Mongolia. A weak tongue of Siberian high high pressure has stretched on Iran. However, in this pattern, Iran’s frosts are mainly influenced by pressure has stretched onofIran. However, this pattern,low Iran’s frosts are mainly influenced by the the deep trough pattern Eastern Europein and Sudanese pressure. deep trough pattern of Eastern Europe and Sudanese low pressure. Climate 2016, 4, 41 Climate 2016, 4, 41 8 of 19 8 of 19 and atmosphere thickness (in meters) for the day of day the second Figure 5. 5. Anomalies Anomalies and atmosphere thickness (in meters) forrepresentative the representative of the second pattern.pattern. Because of ofits itslocation, location, Siberian high pressure system an insignificant role pattern. in this Because thethe Siberian high pressure system playsplays an insignificant role in this pattern. However, the European low pressure is located polarweather cold weather However, the way the theway European low pressure system system is located directsdirects polar cold from from northwest toward southeast, hence the movement of this cold weather toward Iran. These northwest toward southeast, hence the movement of this cold weather toward Iran. These factors have factors have resulted in the movement of cold weather of northern latitudes toward Iran. resulted in the movement of cold weather of northern latitudes toward Iran. Furthermore, the center of Furthermore, the center of these anomalies (with a thickness of −200 meters) is located in northern these anomalies (with a thickness of −200 m) is located in northern latitudes of the country, especially latitudes of theSea country, on part the Caspian Sea and the northeastern part Iran. Many on the Caspian and theespecially northeastern of Iran. Many researchers believe that the of main origin of researchers believe that the main origin of northeastern frosts is advection. In the meantime, the northeastern frosts is advection. In the meantime, the Siberian and European migratory high pressure Siberian play and an European migratory high pressure systems an important role;cold that weather is, whenenters these systems important role; that is, when these systemsplay dominate Iran’s area, systems dominate Iran’s area, cold weather enters the country from west, northwest, and northeast, the country from west, northwest, and northeast, causing cold weather in these areas [1,27,29]. causing cold6 weather insome thesespatial areas [1,27,29]. Figure illustrates features for the representative day and the whole second group. Figure 6 illustrates some spatial featuresof for the representative and the whole second group. Accordingly, when the deep trough patterns Eastern Europe and day Sudanese low pressure dominate Accordingly, when deepoftrough patterns of Eastern Sudanese low pressure dominate ◦ C and ◦ C during the country, in mostthe areas Iran, the temperature is Europe betweenand −2.31 −11.5 the the country, in most areas of Iran, the temperature is between −2.31 °C and −11.5 °C during the representative day. This mainly includes latitudes above 30 degrees (Table 3). On the contrary, for the representative day. This mainly includes latitudes above 30 degrees (Table 3). On the contrary, for ◦ ◦ third group, a large area of the country has a temperature between −5.93 C and −0.76 C. In this the thirdabout group,57% a large area of the country has a temperature between −5.93 °C andthan −0.76 °C. In this pattern, of the country’s area experience a temperature that is lower the average pattern, about 57% of the country’s area experience a temperature that is lower than the average on the representative day (Figure 6A). At the same time, in southern areas of the country, due on to the representative day (Figure At theissame time, in southern areas of country, to lack of of lack of frosts, the coefficient of6A). variation insignificant (Figure 6A,B). Inthe general, thedue frequency frosts,events the coefficient of variation is insignificant (Figure 6A,B). In general, the frequency of frost frost is insignificant in southern areas of Iran because of the role of dynamic high pressure events is insignificant in southern areas of Iran because of the role of dynamic high pressure system system [27,30,31], low latitude, and high radiation. The highest frost frequencies belong to high areas [27,30,31], low latitude, and high radiation. The highest frost frequencies belong to high areas of of the country, especially Tehran, Tabriz, Adrebil, Hamedan, Zanjan, and Sharekord. Thus, it canthe be country, especially Tehran, Tabriz, Hamedan, Zanjan, Sharekord. Thus,Asit acan be concluded that the frequency of frostsAdrebil, is influenced by height and and latitude (Figure 6D). result, concluded that the frequency of frosts is influenced by height and latitude (Figure 6D). As a result, high areas of the country, like Sahand and Damavand, have the highest frequency of frost occurrence. highareas areas of of the and Damavand, the highest frequency frostmid occurrence. The the country, country like thatSahand are mainly close to thehave Zagros mountain ranges of have to high The areas of the country that are mainly close to the Zagros mountain ranges have mid to frost frost frequencies (Figure 6D). Hejazizadeh and Naserzadeh, for example, studied frosts inhigh Lorestan frequencies (Figure 6D). Hejazizadeh and Naserzadeh, for example, studied frosts in Lorestan Province and concluded that height is the main factor determining the frequency of frost occurrence Province and [32]. concluded that some heightresearchers is the mainbelieve factor determining the frequency of frost in this region However, that the majority of Iran’s frosts areoccurrence caused by in this region [32]. However, some researchers believe that the majority of Iran’s frosts are caused by advection [33]. advection [33]. Climate 2016, 4, 41 9 of 19 Climate 2016, 4, 41 9 of 19 Figure pattern:(A) Spatial distribution of temperature averageaverage and coefficient of variation Figure 6.6.The Thesecond second pattern:(A) Spatial distribution of temperature and coefficient of for the whole group; (B) spatial of temperature average and average coefficient of coefficient variation for variation for the whole group; distribution (B) spatial distribution of temperature and of the representative day; (C) anomalies of masses for theofwhole group; (D) whole anomalies for (D) the variation for the representative day; and (C) center anomalies and center masses for the group; representative (E) frequency ofday; frosts the wholeofgroup; thespatial trend anomalies for day; the representative (E)for frequency frostsand for (F) thespatial wholedistribution group; andof(F) of Iran’s frosts whole group. distribution of for thethe trend of Iran’s frosts for the whole group. Climate 2016, 4, 41 10 of 19 Table 3. Percentage of the covered area of different classes of average temperature, anomalies and frequency Climate 2016, 4, of 41 frosts for the second group. 10 of 19 Day Temperature Table 3.Overall Percentage of the covered area of different Representative classes of average temperature, anomalies and Area (%) Area (%) Temperatures ofof the Second Group frequency frosts for the second group. −5.93 to −11.13 Overall Temperature of the −0.76 to −5.93 Second Group 4.46 to −0.76 −5.93 to −11.13 9.66 to 4.46 −0.76 to −5.93 14.87 to 9.66 4.46 to −0.76 ThetoFrequency 9.66 4.46 of Frost Days 14.87 to 9.66 12.3 Area 51.4 (%) 21.1 12.3 11.1 51.4 4.1 21.1 Area11.1 (%) 4.1 The Frequency36oftoFrost 0 Days 36 72 to 0to 36 to 72 72 110 to 36 to 110 110145 to 72 To up 145145 to 110 Area 21.1 (%) 6.1 21.1 86.1 18.58 46.3 18.5 145 To up 46.3 −19.19 to −28.72 Day Representative −11.8 to −19.19 Temperatures −2.31 to −11.8 −19.19 to −28.72 6.50 to −2.31 −11.8 to −19.19 15.32 to 6.50 −2.31 to −11.8 Representative 6.50 to Day −2.31 Anomaly 15.32 to 6.50 5.3 11.8 Area (%) 48.6 5.3 28.8 11.8 5.5 48.6 Area (%) 28.8 5.5 Representative Day Anomaly 57.9 Area (%) Negative anomalies Positive anomalies 42.1 57.9 Negative anomalies AnomaliesPositive the entire group Area (%) 42.1 anomalies Negative anomalies Anomalies the entire group 60.4 Area (%) Positive anomalies 39.6 60.4 Negative anomalies Positive anomalies 6.39 3.3. The Third Pattern: Dual-Core Pattern of Siberian High-Pressure 3.3. The Third Pattern: Dual-Core Pattern of Siberian High-Pressure The outstanding issue in this pattern is that the lines with the same degree of thickness gradually move from to Iran. For theisline the thickness of 5400 m is of located in western parts The Europe outstanding issue inexample, this pattern thatwith the lines with the same degree thickness gradually move from to Iran. example, line the with the line thickness meters is northeastern located in of Europe withEurope a latitude of 44 For degrees north,the while same in Iranofis5400 located in the western of Europe with a latitude 44 degrees north, thepattern, same line in Iran is located in part with aparts latitude of 38 degrees north. ofThis indicates that,while in this conditions are suitable part withweather a latitude of 38northern degrees north. Thistoindicates that, in pattern, conditions forthe thenortheastern advection of cold from Europe Iran (Figure 7).this Cold weather centers areare suitable foron the advection cold fromSea northern Europe to Iran (Figure 7).Iran Coldhas weather that located the eastern of part of weather the Caspian and the northwestern part of further centers that are located on the eastern part of the Caspian Sea and the northwestern part of Iran has lowered temperature in these areas, hence they experience a colder weather compared to other parts. lowered temperature in temperature these areas, hence they experience a colder weather compared to Forfurther example, in these regions, the has reached −26 ◦ C (Figure 8A). Therefore, compared For example, in these regions, theintemperature reached −26 (Figure 8A). to other otherparts. patterns, the degree of anomalies atmospherehas thickness has°C decreased in Therefore, this pattern, compared to other patterns, the degree of anomalies in atmosphere thickness has decreased in this reaching −100 to −200 m during the representative day. This shows a decline of −50 m compared to pattern, reaching −100 to −200 meters during the representative day. This shows a decline of −50 the second group. This condition indicates that this group has warmer advections compared to other meters compared to the second group. This condition indicates that this group has warmer ones. However, on the same day, a large area in Europe experienced the advection of cold weather, advections compared to other ones. However, on the same day, a large area in Europe experienced an argument that is supported by the −200 m thickness anomalies. Based on this map, it can be the advection of cold weather, an argument that is supported by the −200 meter thickness anomalies. argued that when the low pressure system is located in northern parts of Russia, the two high pressure Based on this map, it can be argued that when the low pressure system is located in northern parts systems move toward lower latitudes. The interaction between clockwise air currents in the of Russia, the two high pressure systems move toward lower counter latitudes. The interaction between low pressure system and clockwise air currents in the tongue of Azores high pressure system draws counter clockwise air currents in the low pressure system and clockwise air currents in the tongue of cold weather northern ofcold Europe toward (Figure 7).of Europe toward Iran (Figure 7). Azores highfrom pressure systemparts draws weather fromIran northern parts Figure7.7. Anomalies and atmosphere thickness (in meters) the representative day of the thirdday pattern. Figure Anomalies and atmosphere thickness (in for meters) for the representative of the third pattern. Climate 2016, 4, 41 Climate 2016, 4, 41 11 of 19 11 of 19 Figure 8. The third pattern: Spatialdistribution distribution of and coefficient of variation Figure 8. The third pattern: (A)(A) Spatial of temperature temperatureaverage average and coefficient of variation for the whole group; (B) spatial distribution of temperature average and coefficient of variation for for the whole group; (B) spatial distribution of temperature average and coefficient of variation for the representative day; (C) anomalies and center of masses for the whole group; (D) anomalies for the the representative day; (C) anomalies and center of masses for the whole group; (D) anomalies for the representative day; (E) frequency of frosts for the whole group; and (F) spatial distribution of the representative day; (E) frequency of frosts for the whole group; and (F) spatial distribution of the trend trend of Iran’s frosts for the whole group. of Iran’s frosts for the whole group. When this system is located over this area, air flow deviate from its direct route and change the direction westerniswinds from northern partsair of flow Europe toward Iran,its thus the movement cold the When thisofsystem located over this area, deviate from direct route and of change weather of northern latitudes theparts country. When this pattern dominates Iran, the average direction of western winds from toward northern of Europe toward Iran, thus the movement of cold temperature of cold waves has a considerable increase in comparison with the previous two patterns. weather of northern latitudes toward the country. When this pattern dominates Iran, the average Nevertheless, the formation of this core, especially in the northern part of Iran, leads to recording temperature of cold waves has a considerable increase in comparison with the previous two patterns. temperatures between −10.73 °C and −17.06 °C. However, when this pattern dominates Iran, the Nevertheless, the this especially in the northern part of Iran, leads recording largest area of formation the country of (45% oncore, average) experience a temperature between 1.92 °C and to −4.40 °C ◦ C and −17.06 ◦ C. However, when this pattern dominates Iran, temperatures between − 10.73 (Table 4). On the other hand, considering the whole group, the majority of the country’s area (over the largest area of the country (45% on average) experience a temperature between 1.92 ◦ C and −4.40 ◦ C (Table 4). On the other hand, considering the whole group, the majority of the country’s area (over 68%) has a temperature between −8.045 ◦ C and 3.52 ◦ C (Table 4). The average temperature in Climate 2016, 4, 41 12 of 19 this group (illustrated in Figure 8A) indicates that, in the northeastern part, temperature has reached −2 ◦ C on average, which is not significantly different from the temperature pattern. Nonetheless, compared to the first pattern (when the Siberian high pressure system is dominant), temperature has increased in this area. By the same token, the northwestern part has had a 1 ◦ C increase compared to the first pattern. However, on the representative day, temperature has increased by 2 ◦ C compared to the whole group. As a result, in the northeastern part, temperature reaches −2 ◦ C, while, in the whole group, the average temperature is −4 ◦ C (Figure 8A,B). Anomaly maps further support this argument; that is, the negative anomaly of the representative day increase in comparison with that of the whole group in the northern part of the country (Figure 8B,C). On the other hand, the frequency of frost events in this group is in line with that of the other groups. More precisely, it is like a strip ranging along the Zagros mountain ranges as well as some parts of northwest and northeast (Figure 8D). It is thus concluded that, on average, in this group, 64.5% of the country’s area has negative anomaly (Table 4). Table 4. Percentage of the covered area of different classes of average temperature, anomalies and frequency of frosts for the third group. Overall Temperature of the Third Group Area (%) Representative Day Temperatures Area (%) −8.45 to −13.82 −2.26 to −8.45 3.52 to −2.26 9.30 to 3.52 15.9 to 9.30 11.3 37.1 33.5 13.4 4.7 −10.73 to −17.06 −4.40 to −10.73 1.92 to −4.40 8.2 to 1.92 14.59 to 8.2 5 21.3 45.3 20.7 7.7 The Frequency of Frost Days Area (%) Representative Day Anomaly Area (%) 32 to 0 62 to 32 97 to 62 130 to 97 163 to 130 21.4 8.2 9.7 11.2 49.6 Negative anomalies Positive anomalies Anomalies the entire group Negative anomalies Positive anomalies 69.6 30.1 Area (%) 64.5 35.5 3.4. The Fourth Pattern: Deep Eastern European Trough and Polar Low Pressure Pattern In this pattern of atmosphere thickness, a relatively deep trough, which has stretched from north to south, can be observed in high latitudes. This trough is extended to the east of the Caspian Sea. It represents the fall of cold weather from the latitude 70 degrees north toward the south of Kazakhstan. On the north of the Caspian Sea, the thick curve is compacted causing temperature gradient. This compactness is the cause of cold weather transfer from higher latitudes to lower ones including the studied area. In addition, from Northern Europe, thin tongues with a thickness of 5330 m, which move from northwest toward southeast, move toward Iran, leading to the fall of cold weather in this area. On this day, height anomalies are negative over this area and are between −60 and −20 m. All these conditions make it possible for cold weather of upper latitudes to create a high trough over Iran, leading to stagnant air and severe cold weather. As a result, the majority area of the country, especially the central part, experiences a temperature between −0.42 and −10.9 ◦ C (Figure 9). Through conducting a synoptic and dynamic study of cold waves in tropical regions of South America, Pezza and Ambrizzi concluded that external tropical cyclones play a significant role in the formation of cold waves in these areas. They also found a relationship between cold waves in this region and changes in the waves of upper atmosphere in eastern parts of the Atlantic Ocean [16]. However, in this pattern, the interaction between low pressure systems of Europe has created a corridor of cold weather which connects northern parts of Europe and northern and western parts of Iran. These air currents move from Northern Europe toward Iran, which therefore result in thickness anomalies of −60 to −20 m over Iran. Furthermore, a core frigid temperature was formed in latitude 60 degrees north with Climate 2016, 4, 41 13 of 19 Climate 2016, 4, 41 13 of 19 a negative anomaly of −180 m. The positive thickness of Icelandic low pressure, which has a positive anomaly of 20 m, stretched to latitude 45 degrees north. Nonetheless, the poor blocking of Siberian positive anomaly of 20 meters, stretched to latitude 45 degrees north. Nonetheless, the poor blocking high pressure prevents this tongue entering northern of the country (Figure(Figure 9). 9). of Siberian high pressure preventsfrom this tongue from enteringareas northern areas of the country 9. Anomalies and atmosphere thickness (in meters) for the representative day of the fourth FigureFigure 9. Anomalies and atmosphere thickness (in meters) for the representative day of the pattern. fourth pattern. In this pattern, 79.95% of the country’s area is covered by this cold wave, which is the highest percentage among representative days.isFurthermore, to otherwhich representative Incoverage this pattern, 79.95% of the country’s area covered by compared this cold wave, is the highest days, the temperature of representative the country is significantly lower during the dominance of representative this pattern. In days, coverage percentage among days. Furthermore, compared to other this time, the temperature of the northeastern part of country decreases to −5 °C, which the temperature ofaverage the country is significantly lower during thethe dominance of this pattern. In this time, indicates a decline of −3 °C in comparison with the fourth pattern. On the other hand, in the ◦ the average temperature of the northeastern part of the country decreases to −5 C, which indicates northwestern part of the country, this temperature reduction is significant. However, on the a decline of −3 ◦ C in comparison with the fourth pattern. On the other hand, in the northwestern representative day, the majority of the country’s area (over 49%) experiences a temperature between part of−0.42 the country, this significant. on the representative day, the and −10.9 °C.temperature This mainlyreduction includes is areas along theHowever, Zagros mountain ranges and the majority of the country’s area (over 49%) experiences a temperature between − 0.42 and − 10.9 ◦ C. northwestern parts of the country. It is then obvious that, in addition to external systems, heights, This mainly includes areas along to thethe Zagros mountain anddistribution the northwestern of the country. especially ripples, contribute cold weather. Theranges frequency of frostsparts in these areas (heights) further confirms the findings of this study (Figure 10A). Moreover, due to its typographic It is then obvious that, in addition to external systems, heights, especially ripples, contribute to the features, The this frequency part of thedistribution country has of a high of variation, a phenomenon that further cold weather. frostscoefficient in these areas (heights) further confirms the findings confirms the findings. In contrast, in southern parts of the country, especially the coasts of the Persian of this study (Figure 10A). Moreover, due to its typographic features, this part of the country has a high Gulf, fewer cold waves and frosts are experienced because of low latitude and the dynamic influence coefficient of variation, a phenomenon that further confirms the findings. In contrast, in southern parts of subtropical high pressure. Thus, in this pattern, the largest area of the country has a frost frequency of the of country, especially the5). coasts of the Persian Gulf, fewer cold waves and frosts are experienced 428 to 342 days (Table because of low latitude and the dynamic influence of subtropical high pressure. Thus, in this pattern, of the covered area of differentof classes of 342 average temperature, the largestTable area 5. ofPercentage the country has a frost frequency 428 to days (Table 5).anomalies and frequency of frosts for the fourth group. Table 5. Overall Percentage of the covered area of different classes of averageDay temperature, anomalies and Temperature of the Representative Area (%) Area (%) frequency of frosts for the fourth group. Fourth Group Temperatures −8.4 to −14.3 13.1 −10.9 to −17.39 4 −0.42 to −10.9 −2.6 to −8.4 37 49 Overall Temperature Representative Day Area 30.8 (%) Area29.7 (%) 3.19 to −2.6Group 2.06 to -0.42 of the Fourth Temperatures 9.02 to 3.19 −14.87 8.4 to 14.3 to − 9.02 − 2.6 to − 8.4 Days The Frequency of Frost 3.19 to − 2.6 85 to 0 9.02 to 85 3.19 171 to 14.87 9.02 256 toto171 14.1 13.15 37 (%) Area 30.8 20.6 14.15.3 5 9.7 342Frequency to 256 The to 342 of428 Frost Days Area 51.3 (%) 13.2 85 to 0 171 to 85 256 to 171 342 to 256 428 to 342 20.6 5.3 9.7 13.2 51.3 8.54 to 2.06 −10.915.04 to −to 17.39 8.54 − 0.42 to − 10.9 Anomaly Representative Day 2.06 to −0.42 Negative anomalies 8.54 to 2.06 Positive anomalies 15.04 tothe 8.54 Anomalies entire group Negative anomalies Representative Day Positive anomalies Anomaly Negative anomalies Positive anomalies Anomalies the entire group Negative anomalies Positive anomalies 14.3 4 3 49 Area (%) 29.7 67.7 14.3 32.3 3 (%) Area 65.7 Area 34.3 (%) 67.7 32.3 Area (%) 65.7 34.3 Climate 2016, 4, 41 14 of 19 Climate 2016, 4, 41 14 of 19 Figure 10. The of Figure 10. The fourth fourth pattern; pattern; (A) (A) Spatial Spatial distribution distribution of of temperature temperature average average and and coefficient coefficient of variation for the whole group; (B) spatial distribution of temperature average and coefficient of variation for the whole group; (B) spatial distribution of temperature average and coefficient of variation variation for the representative day; (C) and anomalies and center masses the whole group; (D) for the representative day; (C) anomalies center of masses forofthe wholefor group; (D) anomalies for anomalies for the day; representative day;of(E) frequency of frosts for the group; and (F) spatial the representative (E) frequency frosts for the whole group; andwhole (F) spatial distribution of the distribution of frosts the trend of Iran’s for the whole group. trend of Iran’s for the wholefrosts group. Climate 2016, 4, 4, 41 41 Climate 2016, 15 15 of of 19 19 3.5. The Fifth Pattern: Omega Pattern 3.5. The Fifth Pattern: Omega Pattern In this pattern of atmosphere thickness, southern Mediterranean Omega blocking is formed. this pattern ofof atmosphere thickness, southern is formed. SinceInthe eastern part Omega system is located on theMediterranean east of Europe Omega and the blocking west of the Middle Since the eastern part of Omega system is located on the east of Europe and the west of the Middle East, cold weather falls from higher latitudes toward these regions and the studied area. As a result East, cold weather from higher latitudes toward these regions and become the studied area. Asreaching a result of blocking system falls formation, west winds over western Mediterranean meridional of blocking formation, west reaching polar areas. system The northwestern part winds of Iranover is inwestern front ofMediterranean the path of thisbecome troughmeridional and the 5459 meter polar areas. The northwestern part of Iran is in front of the path of this trough and the 5459 m curve curve passes over this area. Spatial spread of these currents directs a larger proportion of cold weather passesupper over this area. toward Spatial spread of theseincluding currents directs a larger proportion cold weatherinfrom from latitudes lower regions the studied area. Thus, theoftemperature this upper latitudes toward lower regions including the studied area. Thus, the temperature in this area area significantly declines. On this day, the anomaly over the region was positive and between 150 significantly OnGarcia this day, the anomaly over the region was positive and between 150 of to to 100 meters declines. (Figure 11). conducted synoptic analysis for the north and northeastern frosts 100 m (Figure 11). Garcia conducted synoptic for were the north and northeastern frostssystems of Mexico, Mexico, concluding that the main reasons foranalysis the frosts the formation of blocking on concluding that the main reasons for the frosts were the formation of blocking systems on the way of the way of western winds and the existence of cyclone centers in the northeastern part of the United western winds and the existence of cyclone centers in the northeastern part of the United States [34]. States [34]. Figure 11. atmosphere thickness (in (in meters) for for the the representative day day of the 11. Anomalies Anomaliesand and atmosphere thickness meters) representative offifth the pattern. fifth pattern. Blocking Blocking is is an an atmospheric atmospheric phenomenon phenomenon that that considerably considerably influences influences the the climate climate of of its its affected affected areas. In middle latitudes, atmospheric currents normally move in the form of waves from areas. In middle latitudes, atmospheric currents normally move in the form of waves from west west to to east. The wave-like movement of these currents can be clearly observed in middle latitudes of mid east. The wave-like movement of these currents can be clearly observed in middle latitudes of mid and and upper upper levels levels of of troposphere. troposphere. Observing Observing the the monthly monthly or or seasonal seasonal average average of of these these currents currents on on the the abovementioned levels shows that the wave-like movement is more regular and larger in cold abovementioned levels shows that the wave-like movement is more regular and larger in cold seasons. seasons. A day-to-day study of the phenomenon maythis notregularity. show thisInregularity. Ininvestigation, this type of A day-to-day study of the phenomenon may not show this type of investigation, the obvious issue is the tongues that are called trough or ridge. These tongues have the obvious issue is the tongues that are called trough or ridge. These tongues have different sizes different sizes andbased are measured based on their wavelength. In their normal movement, and are measured on their wavelength. In their normal movement, western currents western transfer currents transfer troughs and ridges toward east. These systems move within middle latitudes and troughs and ridges toward east. These systems move within middle latitudes and along the polar along the polar front. Sometimes, the abovementioned systems appear in larger sizes and longer front. Sometimes, the abovementioned systems appear in larger sizes and longer waves, hence moving waves, hence moving more slowly. They may even stop moving or move in theThis opposite more slowly. They may even stop moving or move in the opposite direction. meansdirection. that the This means that the wave does not move eastward and stays in its own place or moves westward. In wave does not move eastward and stays in its own place or moves westward. In the evolution process the evolution process of blockings, the ridge may be associated with high cell or closed cells, while of blockings, the ridge may be associated with high cell or closed cells, while the trough may be the trough may be accompanied by low cells or closed cells. Such a system may stay around a accompanied by low cells or closed cells. Such a system may stay around a meridian for a long meridian for a long time (some days or some weeks). It functions as an obstacle disturbing the normal time (some days or some weeks). It functions as an obstacle disturbing the normal path of western path of western currents in middle latitudes. Thus, because of this system, western currents cannot currents in middle latitudes. Thus, because of this system, western currents cannot move through move through their normal path, hence moving toward northern or southern latitudes. On the other their normal path, hence moving toward northern or southern latitudes. On the other hand, low and Climate 2016, 4, 41 Climate 2016, 4, 41 16 of 19 16 of 19 high of the earth’s surface around themove blocked system on the currents of hand,pressure low andsystems high pressure systems of themove earth’s surface around thebased blocked system based mid-tropospheric on the currents of levels. mid-tropospheric levels. According to Figure 12, cold weather reaches southern latitudes of the country, with its impacts observed in almost two third area of the country. For example, a large area of east, southeast, center ◦ C. The lowest values of temperature anomaly were and west of the country has has aa temperature temperature of of − −77 °C. The lowest values of temperature observed in central parts of the Zagros mountain ranges. The areas with lowest temperatures were also located sporadically in in southern areas of located in in this this territory. territory.Negative Negativeanomalies anomalieswere werealso alsoobserved observed sporadically southern areas ◦ the country. The coastal areas ofof the southern C of the country. The coastal areas the southernpart partofofthe thecountry countryexperienced experiencedaatemperature temperature of of 22 °C (Figure 12A,C and Table6).6). & Table Figure 12. 12.The Thefifth fifth pattern: Spatial distribution of temperature and coefficient of Figure pattern: (A)(A) Spatial distribution of temperature averageaverage and coefficient of variation variation for the whole (B) spatial distribution of temperature andof coefficient of for the whole group; (B) group; spatial distribution of temperature average andaverage coefficient variation for variation for the representative day; and (C) anomalies and center masses for the group; the representative day; (C) anomalies center of masses for theofwhole group; (D)whole anomalies for (D) the anomalies for day; the representative (E)for frequency frostsand for (F) thespatial wholedistribution group; andof(F) representative (E) frequency ofday; frosts the wholeofgroup; thespatial trend distribution of the trend of Iran’s frosts for the whole group. of Iran’s frosts for the whole group. Climate 2016, 4, 41 17 of 19 Table 6. Percentage of the covered area of different classes of average temperature, anomalies and frequency of frosts for the fifth group. Overall Temperature of the Fifth Group Area (%) Representative Day Temperatures Area (%) −8.13 to −13.86 −2.40 to −8.13 3.32 to −2.40 9.05 to 3.32 14.79 to 9.05 13.2 43.5 25.4 13.4 4.5 −8.19 to −3.8 −3.8 to 0.55 0.55to 4.9 9.29 to 4.9 9.29 to 13.68 35 27.5 15.8 13.6 8.2 The Frequency of Frost Days Area (%) Representative Day Anomaly Area (%) 106 to 0 212 to 106 319 to 212 425 to 319 532 to 425 19.9 4.9 7.9 13.3 53.9 Negative anomalies Positive anomalies Anomalies the entire group Negative anomalies Positive anomalies 67.6 32.4 Area (%) 64.5 35.5 4. Conclusions As an index of heat severity, temperature is one of the essential elements for identifying the weather features. Since the amount of energy that sun radiates to earth follows an irregular pattern, temperature experiences a lot of oscillations in comparison with other meteorological elements. These oscillations (i.e., excessive increases and decreases) can result in the formation of heat and cold waves. In recent decades, climate change has been studied as a global challenge. Abnormal changes in temperature affect precipitation and results in droughts or severe floods. These changes are regarded as a threat to world food security. It is therefore necessary to conduct studies in order to estimate changes in the main climate variables. By so doing, future plans will be designed in the light of specific aims and will yield better results. The present study aimed at synoptic analysis of the atmosphere thickness pattern of Iran’s pervasive frosts. To this end, daily temperature data were obtained from Iran’s Meteorological Organization. The results indicated that the occurrence of frosts was mainly influenced by five patterns, namely Siberian high-pressure and European high-pressure, deep trough pattern of Eastern Europe and Sudanese low pressure, dual-core pattern of Siberian high-pressure, deep Eastern European trough and polar low pressure pattern, and Omega pattern. The severest frosts occurred during the dominance of the Omega pattern. However, Siberian high-pressure and European high-pressure dominated the country for a longer period of time. Studying the Siberian high-pressure pattern revealed that the spread of this pattern’s canon to central parts of Russia and the location of ridges of mid atmosphere levels in this area directed this tongue toward Iran. The formation of counter clockwise currents over the earth’s surface and other atmosphere levels in the region transferred cold weather from northeastern parts of Russia toward Iran. Considering the factors that contribute to frosts in various areas of Iran, the result of this study are largely in line with the ones obtained by [19,33,35,36]. In conclusion, the spread of migratory high pressure and Siberian high pressure tongues to Iran and the location of blocking systems in Eastern Europe as well as atmospheric mid-level troughs over the country are the main factors that cause frosts in Iran. Nevertheless, the results indicated that frosts occur alongside contours that have a thickness of 5300 to 540 geopotential meters. In fact, in all five patterns, pervasive frosts occur alongside these contours that are as thick as the atmosphere (especially the ones that are 530 geopotential meters thick). Finally, the omega pattern (the fifth pattern) and Deep Eastern European trough and polar low pressure pattern (the fourth pattern) were the most dominant and severe frost patterns in Iran, respectively. 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