Advances in Meteorology

Advances in Meteorology / 2014 / Article
Special Issue

Applications of Air Trajectories

View this Special Issue

Research Article | Open Access

Volume 2014 |Article ID 940956 |

Xinfeng Wang, Jianmin Chen, "Fog Formation in Cold Season in Ji’nan, China: Case Analyses with Application of HYSPLIT Model", Advances in Meteorology, vol. 2014, Article ID 940956, 8 pages, 2014.

Fog Formation in Cold Season in Ji’nan, China: Case Analyses with Application of HYSPLIT Model

Academic Editor: Florinda Artuso
Received25 Apr 2014
Accepted10 Jul 2014
Published12 Aug 2014


Fog events almost happened every year in cold season in North China Plain. In this study, hybrid single-particle Lagrangian integrated trajectory (HYSPLIT) model was applied to analyze the formation of four fog events occurring in Ji’nan, China, during the period from March 2012 to February 2014. Three types of fog have been distinguished, including radiation fog, advection fog, and frontal fog. When fog events happened, the average surface temperature ranged from near zero to 10°C and the relative humidity was around 90%. Fog events often happened immediately after haze episodes (i.e., fog-haze) and sometimes after light rain. Back trajectory analyses show that the air masses during the fog events mostly came from the local Shandong areas and moved in very slow speed (4–24 km h−1). During the fog events, the humidity along the air trajectories always gradually increased to saturation. The mixed layer depth was small, generally below 400 m at noon and around 100 m at midnight. However, the air temperature exhibited complex variations—sometimes decreased and sometimes kept stable or even increased.

1. Introduction

Fog is featured with high humidity, very low visibility, and possibly high pollutant contents (e.g., fog-haze and acid fog). Dense fogs are dangerous for high-way driving and aircraft landing and take-off and have adverse impacts on people’s life, agricultural production, and socioeconomic activities [13]. In addition, fog can accumulate air pollutants and promote the formation of secondary aerosols in a certain extent, leading to deteriorated air quality and doing harms to human health [4, 5]. Due to the serious impacts on air quality, environment, and anthropogenic activities, fog and fog-haze have received close attention from both researchers and the public in past decades.

Generally, fog can be divided into two sorts, air-mass fog and frontal fog [6]. Air-mass fog is primarily caused by radiation or/and advection and often appears in North China Plain [2, 79], while frontal fog is mainly caused by the evaporation of precipitation into the stable cold air [10]. Reduced air temperature, high humidity, and weak diffusion are necessary for fog formation. Besides, air-mass transport is also an important factor influencing formation of fog. Moisture transport always promotes the occurrence of fog, while air pollutants (in particular aerosols) can have positive or negative effect on fog formation [2]. Recent studies also showed that the temperature increase and humidity decrease due to urban heat island effect and urban land use can inhibit fog occurrence [1113], while the impacts of increased aerosol concentration on fog formation are dualistic and uncertain [2, 14, 15]. The complexity of fog and the interaction with atmospheric environment puts forward the urgent need to further investigate the fog formation, especially in the densely populated and seriously polluted region. As sever haze episodes often occur in China [1618], fog chemical composition shows a plenty of secondary species sulfate, nitrate, ammonium, and OC/EC [1922]. The meteorological formation of haze episodes calls for close attention [2325]. However, only limited investigation of fog formation has been done under heavy air pollution in China [23].

Hybrid single-particle Lagrangian integrated trajectory (HYSPLIT) model is a complete system for computing simple air parcel trajectories as well as complex dispersion and deposition simulations [26]. The air-mass back trajectory analysis by using HYSPLIT model provides a useful method to examine the history of air-mass transport, though uncertainty exists due to a lot of factors such as phase change. It has been extensively used in researches on atmospheric pollution to track the source regions and the transport pathways [2730]. The HYSPLIT model not only presents three-dimensional air trajectories arriving to the selected location but also provides many meteorological data along the air trajectories, including temperature, humidity, pressure, mixed layer depth, and solar flux, which are important factors for fog formation.

In this study, four fog events occurring in Ji’nan, China, in cold season were identified and analyzed by using HYSPLIT model. We first present the weather conditions before, during, and after the fog events. Then, air-mass back trajectories and the corresponding meteorological parameters including temperature, humidity, and mixed layer depth are compared and discussed to explore the formation processes of the fog events.

2. Methods

2.1. Identification of Fog Events

In this study, the fog events occurring during the period from March 1, 2012, to February 28, 2014, were examined. Meteorological data in Ji’nan (36.6°N, 117.1°E, 169 m a.s.l., no. of 54823, shown in Figure 1) reported by the Weather Underground ( were used to identify the fog events. If the relative humidity was above 90% for more than six hours and the weather was marked as fog but not rain or snow, the period was selected as a fog event. Note that the weather records in the Centre Campus of Shandong University were also used to further verify the fog event.

2.2. Air-Mass Back Trajectory Analyses

Air-mass backward trajectories for each fog event were calculated every six hours using HYSPLIT model with GDAS data online [26]. For each fog event, eight to twelve 72 h backward trajectories were calculated at 50 m AGL. The trajectory data including latitude, longitude, and height together with the meteorological parameters including air pressure, temperature, relative humidity (RH), mixed layer depth, and solar flux for air masses were collected for further analyses.

2.3. Calculation of Air-Mass Transport Speed

The average horizontal transport speeds of the air masses (without consideration of the vertical transport) were calculated based on the cumulative transport distance and the transport duration of 72 hours. The transport distance between the two points of the air trajectory with time interval of one hour was calculated by using the following equations: Here, is an angle, and represent the latitude (N) and longitude (E) of point A, LatB and stand for the latitude (N) and longitude (E) of point B, is the radius of the earth (6371 km), and is the circumference ratio (3.14).

3. Results and Discussions

3.1. Fog Events Occurring in Ji’nan

From March 2012 to February 2014, four dense fog events have been identified and are listed in Table 1. They all happened in cold season, especially in wintertime. The duration of these fog events ranged from 30 to 81 hours, all longer than 24 hours. Note that there was an interrupt for ~15 hours in daytime during the fog event beginning at 23:00 on January 13, 2013, and interrupts for several hours in daytime during the fog events beginning at 23:00 on January 28, 2013, and at 23:00 on November 2, 2013. During the four fog events, the average surface temperatures were mostly above 0°C and below 10°C and sometimes slightly lower than 0°C. The average surface RH varied from 90.2% to 95.5%. Before the fog appeared, the weather was usually haze, which means the fog happened as fog-haze. Sometimes, fog appeared immediately after light rain, which is called frontal fog and is caused by the evaporation of precipitation [10]. However, once fog disappeared, it was still haze or changed to clear. The cases of weather remaining haze after fog scavenging on air pollutants suggest that in some conditions fog could not cleanse the fine aerosol pollution.

Start timeDuration (h)Surface temp. (°C)Surface RH (%)Weather before fogWeather after fogNote

Jan. 13, 2013 23:0042−2.590.2HazeHazeInterrupt for ~15 hours in daytime
Jan. 28, 2013 23:00810.595.5HazeClearInterrupt for several hours in daytime
Nov. 02, 2013 23:00339.991.9Light rainClearInterrupt for several hours in daytime
Feb. 01, 2014 05:00302.594.5HazeHaze

3.2. Trajectory and Transport of Air Mass during Fog Events

The air-mass back trajectories during the four fog events are shown in Figure 2. In the past 72 hours, most of the air masses arrived in urban Ji’nan from local Shandong area, especially from south, north, and west Shandong. The air masses did not move along straight lines. They went with clockwise twirling or first twirled clockwise and then twirled counterclockwise, indicating that the flow field in Ji’nan during fog events was controlled by weak low pressure or that weak low and high pressures appeared in turn in this region.

Back trajectory analyses also showed that the air masses transported to Ji’nan in low attitude and in slow speed when the fog events appeared. The pressures of the air masses were mostly higher than 900 hPa, corresponding to altitudes below ~1000 m. The average transport speeds (without consideration of the height) of the air masses were mostly between 4 and 10 km h−1 and were a little faster (11–24 km h−1) for the fog event starting at 5:00 on February 1, 2014. The air masses moved so close to the ground surface that the large amounts of air pollutants emitted from urban city would transfer into fog. In addition, the weak diffusion condition in atmosphere also caused air pollutants accumulation and secondary aerosol formation in mixed layer.

3.3. Impacts of Air Temperature, Humidity, and Mix on Fog Formation

The temperature, humidity of the air masses, and the mixed layer depth are important for fog formation. Generally, high humidity and decreased temperature and mixed layer depth are favorable for the occurrence of fog. In this study, the changes in temperature and humidity of the air mass along the air trajectories and in the mix layer depth during the four fog events were analyzed to investigate the impacts of these meteorological parameters on fog formation.

Temperature changes along the air trajectories are found rather complex (see Figure 3). For the two fog events occurring in January, 2013, the air temperature exhibited gradual decrease and the diurnal temperature difference turned lower and lower. In the nighttime of January 13 and 14, 2013, the radiation cooling led to the formation of fog in late night and early morning. In the next daytime, the temperature increased and the fog weakened or disappeared. There was no significant reduction in the solar radiation at noon during the fog event from January 13 to 15, 2013 (the figure is not shown here). The observed surface temperature also dropped by a large degree from 3°C at 11:00 to −4°C at 23:00 on January 14. The above results suggest that this fog event is radiation fog. Although the surface temperature was always below 0°C in this fog event, it was mostly above −4°C, meaning that it was difficult to form ice fog [31]. From the night of January 28 to the morning of February 1, the temperatures of surface air masses were relatively low (equal to or slightly above 0°C) and the diurnal temperature differences were much smaller than normal days, causing a long duration of fog for more than three days. However, as to the two fog events appearing in November 2013 and February 2014, the temperature increased to certain degrees along the air trajectories, partly due to the decreases in height of the air masses. In the afternoon and evening of November 1, light rain happened following the sharp decline of the air masses. Then, fog occurred when the air masses were close to the earth surface and the air temperature tended to be steady. There was little change in surface air temperature (~9°C) during the fog event from February 1 to 2, 2014.

Saturated humidity is the necessary condition for fog formation. With inspection of Figure 4, relative humidity all exhibited apparent gradual rise along the air trajectories, usually increasing from ~40% to ~90%. When the humidity was close to saturation, the fog appeared. The relative humidity in high altitude with low pressure was usually much lower than that at earth surface. Note that from January 28 to 30, 2013, the humidity of the southerly air masses was high and exhibits little diurnal variation, indicating that this fog event was partly/mainly caused by advection of moist air and belonged to advection fog.

The mixed layer depth, to a certain degree, reflects the stability of the mixed layer and also the air masses. Decreased mixed layer depth is necessary to maintain the fog event. During these four fog events, the mixed layer depth at noon was generally lower than 400 m and that at midnight was mostly around 100 m (shown in Figure 5). For the fog event starting at February 1, 2014, the mixed layer depth at nighttime was substantially higher than other foggy days, which is probably the reason why the air masses transported faster than others.

4. Summary and Conclusions

Fog formation in Ji’nan, China, was analyzed by deploying a HYSPLIT model. During the period from March 2012 to February 2014, total of four fog events were identified and they all appeared in cold season—from November to February in next year. We have distinguished three types of fog, that is, radiation fog, advection fog, and frontal fog. When fog occurred, the surface temperature was relatively low, averagely from zero to 10°C. The relative humidity was saturated. The fog events often appeared as fog-haze and sometimes happened after light rain. According to the back trajectories, during the fog events, air masses mostly came from the local Shandong Province and transported very slowly—below 24 km h−1. Along the air trajectories, the relative humidity always gradually increased to approximate 90%. The mixed layer depth at noon was usually below 400 m and was around 100 m at nighttime. Nevertheless, the air temperature presents complex characteristics. The temperature decreased in some fog events and kept stable or rose in some other fog events. Overall, the HYSPLIT model is a useful tool for fog research.

Conflict of Interests

The authors declare that there is no conflict of interests regarding to the publication of this paper.


This work was supported by Taishan Scholar Grand (ts20120552), National Natural Science Foundation of China (nos. 41375126, 21190053, and 21177025), the Fundamental Research Funds of Shandong University (no. 2014GN010), Shanghai Science and Technology Commission of Shanghai Municipality (nos. 13XD1400700 and 12DJ1400100), and Strategic Priority Research Program of the Chinese Academy of Sciences (no. XDB05010200).


  1. J. M. Waldman, J. W. Munger, and D. J. Jacob, “Chemical composition of acid fog,” Science, vol. 218, no. 4573, pp. 677–679, 1982. View at: Publisher Site | Google Scholar
  2. S. J. Niu, C. S. Lu, H. Y. Yu, L. J. Zhao, and J. J. Lü, “Fog research in China: an overview,” Advances in Atmospheric Sciences, vol. 27, no. 3, pp. 639–662, 2010. View at: Google Scholar
  3. Z. H. Li, J. Yang, C. E. Shi et al., The Physics of Regional Dense Fog, China Meteor Press, Beijing, China, 2008, (Chinese).
  4. Z. Hu, Observational analysis and numerical simulation of precipitation stratiform cloud and fog [Ph.D. thesis], Institute of Atmospheric Physics, Chinese Academy of Sciences, 2007, (Chinese).
  5. X. L. Li, K. J. Lu, K. Wang, A. M. Liang, and H. X. Shen, “Statistic analysis and classification of fogs at Beijing Capital International Airport,” Meteorological Science and Technology, vol. 36, no. 6, pp. 717–723, 2009 (Chinese). View at: Google Scholar
  6. H. C. Willett, “Fog and haze, their causes, distribution, and forecasting,” Monthly Weather Review, vol. 56, no. 11, pp. 435–468, 1928. View at: Publisher Site | Google Scholar
  7. D. Wu, X. J. Deng, Y. X. Ye, and W. K. Mao, “The study on fog-water chemical composition in Dayaoshan of Nanling Mountain,” Acta Meteorologica Sinica, vol. 62, no. 4, pp. 476–485, 2004 (Chinese). View at: Google Scholar
  8. X. G. Zhou, Q. Wang, B. S. Deng, and H. G. Xu, “Numerical simulation on the boundary layer structure during a heavy fog process over Beijing metropolitan area,” Acta Meteorologica Sinica, vol. 62, no. 4, pp. 468–475, 2004 (Chinese). View at: Google Scholar
  9. L. F. He, F. Li, and Z. C. Li, “Dynamic and thermal features of a sustained heavy fog event in Huabei Plain,” Journal of Applied Meteorological Science, vol. 17, no. 2, pp. 160–168, 2006 (Chinese). View at: Google Scholar
  10. H. R. Byers, General Meteorology, McGraw-Hill, New York, NY, USA, 1959.
  11. S. LaDochy, “The disappearance of dense fog in Los Angeles: another urban impact?” Physical Geography, vol. 26, no. 3, pp. 177–191, 2005. View at: Publisher Site | Google Scholar
  12. C. Shi, M. Roth, H. Zhang, and Z. Li, “Impacts of urbanization on long-term fog variation in Anhui Province, China,” Atmospheric Environment, vol. 42, no. 36, pp. 8484–8492, 2008. View at: Publisher Site | Google Scholar
  13. X. L. Ke, E. J. Ma, and Y. W. Yuan, “Scenario simulation of the influence of land use change on the regional temperature in a rapidly urbanizing region: a case study in southern-Jiangsu, China,” Advances in Meteorology, vol. 2014, Article ID 159724, 12 pages, 2014. View at: Publisher Site | Google Scholar
  14. Z. H. Li, “Studies of fog in China over the past 40 years,” Acta Meteorologica Sinica, vol. 59, no. 5, pp. 616–624, 2001 (Chinese). View at: Google Scholar
  15. X. N. Liu, H. Z. Zhang, Q. X. Li, and Y. J. Zhu, “Preliminary research on the climatic characteristics and change of fog in China,” Quarterly Journal of Applied Meteorology, vol. 2, article 010, 2005. View at: Google Scholar
  16. C. K. Chan and X. Yao, “Air pollution in mega cities in China,” Atmospheric Environment, vol. 42, no. 1, pp. 1–42, 2008. View at: Publisher Site | Google Scholar
  17. H. Wang, S. C. Tan, Y. Wang et al., “A multisource observation study of the severe prolonged regional haze episode over eastern China in January 2013,” Atmospheric Environment, vol. 89, pp. 807–815, 2014. View at: Publisher Site | Google Scholar
  18. H. Che, X. Xia, J. Zhu et al., “Column aerosol optical properties and aerosol radiative forcing during a serious haze-fog month over North China Plain in 2013 based on ground-based sunphotometer measurements,” Atmospheric Chemistry and Physics, vol. 14, no. 4, pp. 2125–2138, 2014. View at: Google Scholar
  19. P. Li, X. Li, C. Yang, X. Wang, J. Chen, and J. L. Collett, “Fog water chemistry in Shanghai,” Atmospheric Environment, vol. 45, no. 24, pp. 4034–4041, 2011. View at: Publisher Site | Google Scholar
  20. X. Li, P. Li, L. Yan, J. Chen, T. Cheng, and S. Xu, “Characterization of polycyclic aromatic hydrocarbons in fog-rain events,” Journal of Environmental Monitoring, vol. 13, no. 11, pp. 2988–2993, 2011. View at: Publisher Site | Google Scholar
  21. X. F. Wang, J. M. Chen, J. F. Sun et al., “Severe haze episodes and seriously polluted fog water in Ji'nan , China,” Science of the Total Environment, vol. 493, pp. 133–137, 2014. View at: Google Scholar
  22. H. B. Fu, M. Zhang, W. J. Li et al., “Morphology, composition and mixing state of individual carbonaceous aerosol in urban Shanghai,” Atmospheric Chemistry and Physics, vol. 12, no. 2, pp. 693–707, 2012. View at: Publisher Site | Google Scholar
  23. R. H. Zhang, Q. Li, and R. N. Zhang, “Meteorological conditions for the persistent severe fog and haze event over eastern China in January 2013,” Science China Earth Sciences, vol. 57, no. 1, pp. 26–35, 2014. View at: Google Scholar
  24. Y. S. Wang, L. Yao, L. L. Wang et al., “Mechanism for the formation of the January 2013 heavy haze pollution episode over central and eastern China,” Science China Earth Sciences, vol. 57, no. 1, pp. 14–25, 2014. View at: Publisher Site | Google Scholar
  25. L. T. Wang, Z. Wei, and J. Yang, “The 2013 severe haze over southern Hebei, China: model evaluation, source apportionment, and policy implications,” Atmospheric Chemistry and Physics, vol. 14, no. 6, pp. 3151–3173, 2014. View at: Google Scholar
  26. R. R. Draxler and G. D. Rolph, HYSPLIT (HYbrid Single-Particle Lagrangian Integrated Trajectory) Model, NOAA Air Resources Laboratory, Silver Spring, Md, USA, 2014,
  27. X. M. Gao, L. X. Yang, S. H. Cheng et al., “Semi-continuous measurement of water-soluble ions in PM2.5 in Jinan, China: temporal variations and source apportionments,” Atmospheric Environment, vol. 45, no. 33, pp. 6048–6056, 2011. View at: Publisher Site | Google Scholar
  28. P. T. Nastos, “Meteorological patterns associated with intense saharan dust outbreaks over greece in winter,” Advances in Meteorology, vol. 2012, Article ID 828301, 17 pages, 2012. View at: Publisher Site | Google Scholar
  29. X. Wang, T. Wang, R. K. Pathak et al., “Size distributions of aerosol sulfates and nitrates in Beijing during the 2008 Olympic Games: impacts of pollution control measures and regional transport,” Advances in Atmospheric Sciences, vol. 30, no. 2, pp. 341–353, 2013. View at: Publisher Site | Google Scholar
  30. X. Wang, W. Wang, L. Xue et al., “Size-resolved aerosol ionic composition and secondary formation at Mount Heng in South Central China,” Frontiers of Environmental Science and Technology, vol. 7, no. 6, pp. 815–826, 2013. View at: Publisher Site | Google Scholar
  31. X. H. Yao and L. Zhang, “Supermicron modes of ammonium ions related to fog in rural atmosphere,” Atmospheric Chemistry and Physics, vol. 12, no. 22, pp. 11165–11178, 2012. View at: Publisher Site | Google Scholar

Copyright © 2014 Xinfeng Wang and Jianmin Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

More related articles

 PDF Download Citation Citation
 Download other formatsMore
 Order printed copiesOrder

Related articles