3.1 Minimum and maximum temperature validation of selected CMIP5 Bias-Correction models in Iran using the Taylor diagram
The Taylor diagram provides a statistical summary of the correlation between CMIP5 simulations and observation data in terms of correlation (R), a root-mean-square difference (RMSD), and the ratio of model variances (Taylor, 2001). Therefore, we used the Taylor diagram to investigate spatial distribution agreement between observation and CMIP5 simulation for the minimum and maximum temperature of Iran during the period 1965–2005 (Fig. 2). In the presented diagrams, the correlation between CMIP5 simulations for the minimum and maximum temperature of Iran and observation is shown by the Azimuthal position from the test field. As mentioned, we have evaluated five climate models MIROC-ESM-CHEM, HadGEM2-ES, IPSL-CM5A-LR, GFDL-ESM2M, and NorESM1-M from the CMIP5 Bias-Correction models. Then the ensemble of these models is applied to study the seasonal ETI changes in Iran using the Independence Weighted Mean (IWM) method. The validation results of 5 CMIP5 Bias-Correction models and the generated ensemble model by the IWM method showed that GFDL-ESM2M and HadGEM2-ES models represented the highest performance for the average of the whole of Iran. In contrast, NorESM1-M and IPSL-CM5A-LR models showed lower performance than other single models in Iran for both minimum temperature (Fig. 2) and maximum temperature (Fig. 2), respectively.
As shown in figure (2), the generated ensemble models using the IWM method have significantly reduced the bias compared to individual models in Iran. For example, as shown in Figure (3) for maximum temperature, in autumn, the IPSL-CM5A-LR GCM has the lowest correlation with 0.87 and the GFDL-ESM2M GCM has the highest correlation with 0.91 in the area-averaged for Iran. The ensemble model has increased the correlation to 0.96, which clearly shows how much the applying of the ensemble model decreases the bias in projecting future periods. The same is observed for the minimum temperature of autumn. The NorESM1-M model has shown the lowest correlation (0.86) for the minimum temperature with a slight difference compared to the IPSL-CM5A-LR model. The GFDL-ESM2M model has shown the highest correlation (0.91) among them.
As shown in the diagram, the ensemble model with a correlation of (0.94) has greatly reduced the bias. The same result is true for other seasons, which were also shown in the relevant diagrams. In many studies, the higher performance of MME compared to individual models has been reported. For example, Reyers et al. (2016) examined 22 models in Europe and concluded that single models for wind provide different results whereas the ensemble model shows higher performance. Also, the higher performance of ensemble models is approved in the Northeast China Plain with 28 Global Climate Models (GCMs) for rice yield (Zhang et al. 2019), Peninsular Malaysia (Noor et al. 2019), global ETI of CMIP6 (Kim et al. 2020), Pakistan rainfall and temperature (Ahmed et al. 2020) and South Asia drought projection (Zhai et al. 2020). Therefore, the results represent that the minimum and maximum temperature using MME models added a higher value to the output compared to applying individual models in Iran (Fallah- Ghalhari et al. 2019; Darand, 2020; Rahimi et al. 2020; Zamani et al. 2020; Naderi, 2020; Kamyar et al. 2020).
3.2 Seasonal variations of TN, TX, CSDI, WSDI, CFD, and CSU
Seasonal changes of six temperature indices studied in Iran during the historical period of 40 years (1965–2005) based on the output of CMIP5 MME models were shown in Figure (4). Except for the TX and TN which are measured in degrees Celsius, four other indices represent duration, which is measured in days. Our results show that the minimum seasonal temperature is at least − 5.53 and at most 28 ° C in Iran. In summer, Dasht-e-Lut and Dasht-e-Kavir deserts are known as the main hot spots of TX and TN, with temperatures above 25 ° C for minimum and more than 40 ° C for maximum. In the other seasons, the main sources of high temperatures for these two indices are southwest, south, and southeast of Iran. The reason for the very high maximum and minimum temperatures in the eastern half of Iran is the continental climate, being away from moisture sources and various geographical features. Desert surfaces and clear skies on the one hand cause a large increase in temperature, especially in the warm period of the year, and on the other hand increase the coefficient of variation of temperature.
In winter (DJF) for both TX and TN indices, the temperature has an increasing gradient from northwest to southeast of Iran. In spring, the minimum temperature is -0.55 ° C and the maximum temperature is 10.3 ° C. In the northwestern and western regions, the maximum and minimum temperatures in spring are lower than in other regions of Iran. In this season, with the arrival of cold systems from the northwest and their rapid propagation in the northwest-southeast direction (location of the Zagros Mountain range) and finally, the accumulation of cold air due to the roughness of the Zagros Mountain range reduces the minimum temperature and maximized.
In summer (JJA), with the increase of day length in the northern regions of Iran, along with the increase of extensive subsidence of air, the temperature becomes more uniform and the variability of minimum and maximum temperatures is less than other seasons.
The daily minimum temperature (TN) in summer is 8.37°C and the maximum value of the same index is 28°C. In contrast, for daily maximum temperature (TX) the minimum and maximum values are 25.6°C and 44.8°C, respectively. Atmospheric systems originating in the southern regions of Iran such as Arabian anticyclone and subtropical high (STH) are the main cause of temperature increase in summer and play an important role in increasing the maximum temperature in summer in southern regions of Iran.
According to the results of the 5 CMIP5 BC MME, the maximum temperature reaches 44.8°C in summer in southwestern Iran. It should be noted that this value is the 40-year average of the maximum daily temperature, however, if its frequencies are examined, the maximum temperature will be higher.
By comparing the figures of maximum temperature in spring and summer from south to north, we can see the impact of the northward movement of subtropical high pressure from spring to summer on temperature changes. In autumn (SON), the minimum temperature (TN) in the highlands of Iran has shown less than 5°C. Changes in the minimum and maximum daily temperature range have shown that the temperature in Iran has many complexities and the interaction between local factors and atmospheric circulation systems cause many changes in the spatial patterns of temperature in Iran.
The study of changes in the two indices of TX and TN during the four seasons shows that they are the highest in all seasons on the southern coast of Iran. However, there is one exception in the summer, as the TX index doesn’t show the highest values in the southern coasts of Iran in summer. This may be due to the transfer of humidity caused by the Asian summer monsoon (ASM) in southeastern Iran and the strengthening of sea breeze to land. The two indices WSDI and CSDI represent the warm and cold spells of Iran, respectively, and can be suitable indices for seasonal evaluating cold and heat waves during the historical period (1965–2005) using the output of MME (Fig. 4).
According to the description of the indices TX and TN, which are the two indices of WSDI and CSDI, they presented a completely symmetrical pattern for Iran. Cold spells of Iran in winter vary between 1.32 to 4.09 days and as expected, the western regions, the Alborz Mountain range in the north and northwestern Iran, showed the highest CSDI index. Minimum CSDI is observed on the southern coast of Iran in all seasons.
The maximum value of the CFD index is seen in the highlands of northwest, west, north, and northeast. The maximum CFD in winter is 89.3 days and the minimum index in terms of the seasonal cycle is observed in summer.
In spring, the maximum amount of CFD is limited to the northwest and highlands of Alborz in the north of Iran. The southern coasts do not experience CFD in any season. this index is limited to small parts of northwestern and western Iran in summer. Another index that has been used in this research for the first time on a seasonal scale is the CSU index i.e the maximum number of consecutive summer days. Except for a few limited areas on the Caspian coast, this index is not observed in winter above latitude 36°N. The Zagros Mountains are another area that does not experience CSU in winter. CSU index is mostly observed in winter on the coast of the Oman Sea by the maximum value of 20.8 days.
In spring and with increasing air temperature in Iran, the CSU value is subjected to at least half a day (0.52 days) in the northwestern, western, and northeastern regions of Iran. While the maximum of 80.3 days is seen on the coast of the Oman Sea. In summer, as mentioned above, due to the subtropical high (STH) presence in most parts of Iran, the CSU reaches 92 days. In other words, except for northwestern Iran, which experiences only 25 days of CSU summer, all summer days in the rest of the country are associated with CSU.
In autumn, the CSU decreases sharply, and the index reaches 5.76 days. In contrast, summer conditions are still prevailing in the southern regions of Iran. The value of the CSU index in this region reaches 87.7 days, and the conditions of summer days are observed in the coast of the Oman Sea to the Dasht-e Lut in central Iran and on the entire coast of the Persian Gulf.
3.3 The anomaly of projected CSDI
Projected changes in the CSDI index in Iran for the near future (2021–2060) and far future (2061–2100) under the RCP4.5 and RCP8.5 scenarios have shown a completely negative anomaly of the CSDI index compared to the historical period (1965–2005). CSDI negative anomaly is increasing from north to south and from east to west of Iran. The coasts of the Persian Gulf and the Oman Sea in all seasons, periods, and studied scenarios are the main hot spot of Iran's cold spell. Based on projected results in winter (DJF), the CSDI index in Iran will decrease between − 0.31 to -2.88 days for the near future period (2021–2060) based on the RCP4.5 scenario (Fig. 5).
in winter, the index has shown a one-day increase for the minimum and maximum values in the far future compared to the near future period. So that the minimum of the index with − 1.02 day and a maximum of that with 3.80 day decrease in future. The results of the (RCP8.5) scenario also showed that in the winter the cold spells in the near future and the far future will decrease by a maximum of 3.34 and 4.09 days, respectively.
In winter, the cold spells decrease for more than 2 days on the southern coasts of Iran. The minimum of cold spells anomaly is seen in the northeast, northwest, and east of Iran.
In the spring (MAM) projected cold spells showed that the coasts of the Persian Gulf and the Oman Sea have shown a decrease of more than 3 days in all periods for two scenarios. Similar anomalies have also been observed in northeastern Iran in the spring (Fig. 5).
By the end of this century, based on the results of RCP8.5, cold spells in northwestern Iran have shown an anomaly of -0.75, which does not reach even one day. Therefore, global warming will have the least impact on northwestern Iran.
In the summer (JJA) the downward trend of cold spells reaches its maximum magnitude. In this season, CSDI will decrease between − 2.05 to -5.71 days compared to the historical period (1965–2005). The RCP8.5 result also showed minimum and maximum anomalies of -2.23 and − 5.79 days. In the far future, the magnitude of negative anomaly would increase in the southern and southwestern regions of Iran. The eastern regions, and the Alborz and Zagros Mountain ranges experience the least negative anomaly of cold spells in Iran. The spatial pattern of CSDI anomaly in summer has shown that the coasts of the Persian Gulf are the main hot spot of this index in Iran. Unlike other seasons, in summer (JJA), Urmia Lake Basin has shown a significant downward trend for the CSDI index. This is a serious threat to the ecosystems of Lake Urmia in the coming decades (Fig. 5).
In autumn (SON), CSDI has presented a homogeneous spatial pattern, so that below the latitude 35°N negative anomaly of cold spells reaches more than 2 days. By contrast, northwest Iran has shown the minimum anomaly of CSDI by one day/year (Fig. 5). In autumn (SON) as well as winter (DJF), the coasts of the Persian Gulf and the Oman Sea are the main hot spots of cold spells decrease in Iran. The decreasing CSDI in all seasons is a serious threat to water resources, agriculture, and pest growth.
3.4 The anomaly of projected WSDI
Investigating seasonal warm spells of Iran shows an increasing trend in the whole country under the projected scenario. Positive WSDI anomaly is increasing from north to south in Iran (Fig. 6). Identified areas that are the main hot spots of cold and warm spells, showed that the decreasing cold spells in winter correlated well with increasing warm spells.
The results showed that warm spells in winter show a significant increasing trend, so it is expected that winters will be warmer in the coming decades. In the analysis of the mean time series of CSDI and WSDI, it is found that warm spells are more common than cold spells, especially in winter. Since CSDI and WSDI indices are computed from TX and TN temperature indices (10th and 90th percentiles), it means that very hot days will be more frequent than very cold days in the future. In this regard, Im et al. (2017) by examining the heat waves of Asian countries, concluded that heatwaves will occur every 10 to 20 days at the end of this century and the coastal cities of southern Iran, Dubai, Abu Dhabi, and Doha are greatly affected by this event. They also showed that the wet-bulb temperature (TW) reached near 35 ° C in the summer of 2015 in the port of Mahshahr (Iran), on the coasts of the Persian Gulf and in Saudi Arabia, indicating that the threshold was broken earlier than expected (Schär et al. 2016). Confirming the previous research (Schär et al. 2016; Im et al. 2017), the results of our study showed the increase of thermal stress in the southern regions of Iran in the coming decades.
The anomaly of projected warm spells in winter (DJF), which is examined using the WSDI, has shown a significant increase over Iran. The anomaly hotspot of WSDI in winter is the coasts of the Oman Sea in southeastern Iran. Based on the RCP4.5 scenario, WSDI will have an anomaly of 3.24 to 16.4 days in the near future (2021–2060). While in the far future (2061–2100), the number of days will be doubled for warm spells and according to the results of the RCP4.5 scenario, the maximum index reaches 35.5 days (Fig. 6).
The projected results using the RCP8.5 scenario show that warm spells will increase to a minimum of 4.22 days in the near future and 15.9 days in the far future. the maximum of 25.3 days and 64.6 days is projected to increase in the near and far future, respectively.
In the spring (MAM), the warm spells projected a maximum increase of 59.8 days by the end of this century. In contrast to winter, when only the coasts of the Oman Sea showed the main spot of WSDI, in spring the coasts of the Persian Gulf will also show a significant increasing trend. The northern regions, the northeast, and the northwest of Iran will experience a maximum increase of 14.5 days in the far future under the scenario RCP8.5 (Fig. 6). Warm spell events in the near future will increase by a maximum of 2 days compared to the historical period according to the RCP4.5 scenario.
In summer (JJA), we see a completely different spatial anomaly pattern of WSDI in Iran. In this season, the eastern regions of Iran along with the northern and northwestern regions showed the least increase in the frequency of warm spells. Unlike the CSDI index, which showed the maximum negative anomaly on the coast of the Persian Gulf, this region is the main hotspot of positive anomaly warm spells in Iran in this season. At the end of the century, under the RCP8.5 scenario, the frequency of warm spells will increase by about 80 days, which will be a serious threat to the inhabitants of this region. In the far future (2100 − 2061) according to the RCP8.5 scenario, the frequency of warm spells will increase at least 41 days across Iran.
In the autumn season (SON), from the Strait of Hormuz to the west, we see severe anomalies of warm spells. This significant increase, based on the results of the RCP8.5, reaches 72.9 days in the period 2061–2100, which is 7.4 days longer than in summer. In this season, the northeastern regions and the southern coast of the Caspian Sea show the least WSDI anomaly. The results showed that warm spells will increase in the future in terms of frequency and duration. In the cold seasons of the year (winter and autumn), warm spells will have more intensity and frequency. In the southern coasts of Iran, warm spells are more persistent. The number of days with WSDI > 20, covers a smaller percentage of the area of Iran despite its significant intensity (Fig. 6). In contrast, the frequency of WSDI < 20 is seen in most parts of Iran. The frequency of warm spells is higher in the southern, southeastern, southwestern, and central coasts of Iran.
The geographical distribution of warm spells in Iran showed that its hotspots are generally found in the southern regions of Iran, especially on the coast of the Persian Gulf and the Sea of Oman. Also, the increase of warm spells in the Zagros Mountain range is more than Alborz Mountain. This increase of warm spells is very important for the life of Iran's main rivers such as Karun, Karkheh, Zayandeh-Rud, etc., which can pose significant threats to Iran's energy (hydropower), agriculture, and water resources sectors. The rising temperature trend in the mountainous and snow-covered regions of the Zagros is larger than the northern regions of Iran, and their annual snow reserves will melt faster in the future. Globally (Pepin et al. 2015) as well as numerous regional studies (for example Andean Mountain range (Vuille et al. 2015) and Tibetan Plateau (You et al. 2018)) it is shown that Mountains are warming faster than the global average. In this regard, Fallah-Ghalhari et al. (2019) and Zarrin and Dadashi-Roudbari (2020) reported an increase in temperature across Iran especially in the highlands of western and northwestern it by the end of the century.
3.5 Seasonal projection of CFD in Iran
The projected changes of the CFD are shown in Figure (7). The CFD index is a general indicator of frost damage. As mentioned earlier for the historical period; all studies conducted in Iran (Rahimzadeh et al. 2009; Soltani et al. 2016; Fallah-Ghalhari et al. 2019; Darand, 2020) used the FD0 index, which provided general information on changes in frost days throughout the year. The results of seasonal projection for the two periods 2021–2060 and 2061–2100 showed that the anomaly of CFD index is negative in all seasons of the year based on two scenarios RCP4.5 and RCP8.5. Since there are more frosty days in winter, the anomaly of this index is more in this season.
The CFD anomaly in this season is between − 0.03 to -16.1 days/year-1 based on the results of the RCP4.5 scenario in the near future compared to the historical period (1965–2005). The maximum anomaly is observed in the interior mountain, Zagros, Alborz, and the northeastern mountain of Iran. In all seasons, the southern, southeastern, and southwestern coasts of Iran and most parts of central Iran show minimal CFD anomalies. The reason for this is either the lack of CFD during the historical period in seasons such as summer in large parts of Iran or is the fact that these areas did not have CFD in the historical period. In the far future, according to the results of RCP4.5, the CFD index will decrease by a minimum of 1.1 and a maximum of 24.4 days, and the maximum of this reduction anomaly is observed in the Zagros Mountain. According to the RCP8.5 scenario, the index has decreased by 20.6 and 38.1 days for the periods 2021–2060 and 2061–2100, respectively (Fig. 7).
In the spring (MAM), the results of the RCP4.5 scenario show that during two study periods, the CFD anomaly in Iran is a maximum of 10 days. CFD will decrease in the western and northwestern highlands of Iran during the near and far future period by a maximum of 6.39 and 9.65 days. The central, eastern, and southern regions of Iran in this season either do not have consecutive frost days or are very few if any. The results of the RCP8.5 scenario for CFD in Iran showed a decrease of 15.7 days in the far future (Fig. 7). The result is consistent with previous studies (Fallah-Ghalhari et al. 2019) that compared the minimum and maximum temperatures in Iran.
In the summer (JJA), as mentioned, we see CFD in almost a few places in Iran. Therefore, large parts of Iran will not have CFD in the future. The only areas that showed CFD anomalies for Iran in the summer are the western and northwestern highlands of Iran with 0.5 days. The results for the autumn (SON) showed that like other seasons and especially in comparison with the winter season (DJF), CFD in Iran has a completely decreasing anomaly. The large CFD anomalies are seen in the Alam-Kuh highlands in northern Iran, Lalehzar in southern Iran, and Kuh-e Dinar in the Zagros Mountains. The maximum anomaly of the RCP4.5 scenario is 7.8 days and the RCP8.5 scenario is 11.9 days (Fig. 7). In autumn, except for the mentioned regions, CFD anomaly is less than 5 days in other regions of Iran. The summary of the results of this section shows that the frost days and especially the maximum consecutive frost days in Iran will decrease in the coming years. This reduction has already been confirmed by many studies examining Iran's FD0; As Darand et al. (2015) using the Iranian climatic database during 1962–2004, also reported a decreasing trend for frost days. Also, Fallah-Ghalhari et al. (2019) reported a decreasing trend for frost days in Iran during 1976–2005 using the records of 45 ground stations in Iran, which confirms the results of this study. At the regional scale, Kouzegaran et al. (2019) using ground station data showed a decreasing trend for FD0 in Central Khorasan in northeastern Iran during 1991–1995.
3.6 Seasonal projection of CSU in Iran
Investigating the winter (DJF) consecutive summer days it is found that CSU on the coast of the Oman Sea in southeastern Iran during the two periods 2021–2060 and 2061–2100 under two scenarios RCP4.5 and RCP8.5 will experience a significant increasing trend. Except for the above-mentioned region, other parts of Iran have shown CSU anomalies of less than 10 days. The CSU maximum for the near future 2021–2060 is 12.7 days and is 26.4 days for the far future under the RCP4.5 scenario. It is 21.1 and 42.6 days for the near and far future under the RCP8.5 scenario, respectively. What is interesting about Iran’s CSU is the significant increase in summer days in winter for the southern and southeastern regions of Iran. The maximum summer days of Iran in winter (DJF) are even longer than spring (MAM) and autumn (SON). In contrast, regions with increasing CSU longer than 10 days in spring and autumn, are seen in more than 90% of the total area (exactly 93.54%) of the country (Fig. 8).
In the spring (MAM) as shown in Figure (8), the maximum CSU covers all areas below the 36 ° N. Unlike other seasons, the coast of the Persian Gulf shows the maximum CSU values. This result shows that the transitional seasons (spring and autumn) will disappear in the coming decades in the southern regions of Iran and the summer season will be longer. Projections show an increase of at least 1.04 days and at most 28.6 days for CSU in Iran. The minimum anomaly of CSU is observed in spring in the northwestern regions of Iran (Fig. 8).
In summer (JJA) we see a different spatial distribution of CSU in Iran. In this season, the northwestern region experiences a positive anomaly of CSU. According to the results of the RCP4.5 scenario, summer days will increase by about 25 days in the period 2021–2060 in this region of Iran. At the end of the century, this index reaches 47.9 days according to the results of RCP8.5 (Fig. 8). This unprecedented increase in CSU is a major threat to Lake Urmia, which has been revitalized in recent years and may re-enter the landlocked period of this strategic lake in the not-too-distant future. On the other hand, this region is the agricultural hub of Iran and the CSU index can provide valuable information for drought stress and optimal plant growth.
The Autumn season (SON) has shown many changes compared to winter (DJF) and spring (MAM) seasons in Iran. In this season, the coast of the Persian Gulf in southwestern Iran and the coast of the Oman Sea in southeastern Iran show the minimum anomaly of CSU. This result is not far from the expectation because these areas are among the hottest areas of Iran with high CSU and according to previous findings (Zarrin and Dadashi Roudbari, 2020), with global warming, the temperature-based extreme indices will increase in Iran higher latitudes, especially in the mountainous regions of the country. Eastern regions, Central Iran, Zagros Mountains, West and North-West of Iran show an increase of 10 to 27.8 days for this season in Iran (Fig. 8). This increase in the high single free-standing mountain of the Iran southern latitudes is a serious threat to water resources because as the temperature warms, we will see a decrease in snowfall and also it's rapid melting in this region of Iran.
3.7 The seasonal anomaly of extreme temperature indices (ETI) in Iran
For a more detailed analysis of the six indices studied in Iran during different seasons, the anomaly of each index was computed for the country-wide area-averaged and its results are presented in Table (9). The results indicate that except for two indices, CFD and CSDI, which are representative of the maximum number of consecutive frost days and cold spells, other indices show positive anomalies for all studied seasons and periods. The TN index for the average of Iran reaches 0.43o in near future (2021–2060) and 7.60o in the far future (2061–2100) for winter (RCP4.5) and summer (RCP8.5), respectively. In other words, winter will have the lowest increase, and summer will have the highest increase for TN in Iran.
The results of the TX index are the same as TN. Our studies showed that the maximum daily temperature in Iran will increase by at least 1.66o and at most by 6.11o by the end of the century. As mentioned, CFD is one of the six studied indices, the anomaly of which will be negative for the country-wide average in the future. The cold seasons of the year (DJF and SON) show the greatest decrease for CFD according to the Iran climate.
In winter, according to the results of the RCP4.5 scenario, the value of CFD will decrease by 5.46 days in 2021–2060. At the end of the century, according to the results of the RCP8.5 scenario, we will see a significant decrease of CFD by 13.43 days. The CSU index is also examined to better understand the effects of global warming on Iran's climate. An interesting point for the CSU index is the increase in the anomaly of this index for the transition seasons of the year (MAM and SON). At the end of the century, under the RCP4.5 scenario, this index will increase by 11.35 days in spring (MAM) and 14.12 days in autumn (SON). The same conditions according to the RCP8.5 scenario will be 18.79 days and 20.51 days, respectively (Fig. 9). In other words, it can be said that the spring and autumn seasons are shortening in Iran. In contrast, the length of summer is increasing (Fig. 9 and Table 5). The two indices CSDI and WSDI, which represent the cold spells and warm spells of Iran, also show the decrease of cold spells and warm spells. On a seasonal scale, Iran's cold spells are decreasing at a rate of 3 days/season.
Iran's warm spells also showed a significant increase for the autumn (SON) and summer (JJA). The minimum increase in WSDI in winter with at least 7.22 days under RCP4.5 is observed in the near future (2021–2060). In contrast, the maximum WSDI with a maximum of 62.67 days will experience in the far future (2061–2100) under the RCP8.5 scenario (Fig. 9). Globally, many studies have reported an increase in temperature period indices and a decrease in cold and frost indices using CMIP5 models. Examples include research in the United States (Barnett et al. 2012), Mainland China (Ying et al. 2020), South Asia (Ullah et al. 2020), and the Middle East – North Africa (MENA) (Ntoumos et al. 2020). Therefore, it can be acknowledged that global warming in Iran will be very intense in the coming years and this increasing intensity will be significant for indices related to duration.
Table 5
The seasonal average anomaly of selected ETI indices of Iran based on CMIP5 BC MME results
Mean of daily minimum temperature (TN)
|
Season
|
RCP4.5-TS1
|
RCP4.5-TS2
|
RCP8.5-TS1
|
RCP8.5-TS2
|
DJF
|
0.43
|
0.64
|
0.63
|
1.88
|
MAM
|
1.58
|
2.41
|
2.04
|
4.46
|
JJA
|
4.06
|
5.01
|
4.59
|
7.60
|
SON
|
2.12
|
3.06
|
2.58
|
5.49
|
Mean of daily maximum temperature (TX)
|
DJF
|
1.66
|
2.99
|
2.33
|
5.00
|
MAM
|
2.02
|
3.13
|
2.49
|
5.32
|
JJA
|
2.50
|
3.59
|
2.89
|
6.11
|
SON
|
2.45
|
3.73
|
2.90
|
5.94
|
Maximum number of consecutive frost days (minimum temperature < 0 degrees_C) (CFD)
|
DJF
|
-5.46
|
-8.08
|
-7.19
|
-13.49
|
MAM
|
-1.39
|
-1.91
|
-1.74
|
-2.98
|
JJA
|
-0.001
|
-0.001
|
-0.001
|
-0.001
|
SON
|
-1.42
|
-2.01
|
-2.85
|
-3.93
|
Maximum number of consecutive summer days (temperature > 25 degrees_C) (CSU)
|
DJF
|
1.36
|
2.77
|
1.98
|
6.29
|
MAM
|
7.69
|
11.35
|
8.84
|
18.79
|
JJA
|
4.02
|
5.05
|
4.41
|
6.10
|
SON
|
9.70
|
14.12
|
11.04
|
20.51
|
Cold-spell duration index (CSDI)
|
DJF
|
-1.34
|
-2.05
|
-1.58
|
-2.36
|
MAM
|
-1.51
|
-1.71
|
-1.54
|
-1.96
|
JJA
|
-3.13
|
-3.34
|
-3.26
|
-3.43
|
SON
|
-2.98
|
-3.17
|
-3.02
|
-3.33
|
Warm-spell duration index (WSDI)
|
DJF
|
7.22
|
16.04
|
11.26
|
35.55
|
MAM
|
6.22
|
13.57
|
9.48
|
31.22
|
JJA
|
18.90
|
33.79
|
24.96
|
62.67
|
SON
|
15.99
|
28.99
|
19.96
|
49.26
|
Representative Concentration Pathway (RCP); TS1: 2021–2060; TS2: 2061–2100
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To better capture the long-term changes in ETI in Iran, CSDI and WSDI, which are the most important and reliable indices for measuring the length of the hot and cold period, were selected and the area-averaged trend was examined across the country from 1965 to the end of 21st. The results showed that CSDI is decreasing with a very steep slope in all seasons of Iran and contrast WSDI has a significant increasing slope in Iran. The trend slope was also calculated using the Theil-Sen estimate test for each season. For example, in the autumn season (SON), the CSDI index in the historical period (1965–2005) shows a decreasing trend of 1.38 days/decade. In contrast, the WSDI index increased by 0.48 days /decade in the same season. The largest increase in the WSDI index is related to the summer season (JJA) under the RCP8.5 scenario, which will increase by 8.77 days/decade (Fig. 9).