Prediction of Solar Ultraviolet Radiations Using Random Matrix Theory
Abstract
Purpose: The correlation of different samples can be described by analytical models such as random matrix theory. In this study, we tried to describe the correlation of different types of ultraviolet values in different months, weeks, and hours to get a significant relationship of special times, which one needs to get enough intensity of the sun or avoid getting sunburn.
Materials and Methods: To this aim, we focused on the hourly and daily mean amounts of ultraviolet A, B, and C intensities of solar radiation in Tabriz urban area were measured during a full year of 2017-2018. We used such ultraviolet values which are measured at the same hour of the day to satisfy the same symmetry criteria which are necessary in random matrix theory. These data are unfolded and classified in different sequences to analyze in the nearest neighbor spacing distribution framework via the maximum likelihood estimation technique.
Results: Strong correlation is yielded for daily values of UVA in comparison with the other types of ultraviolet radiations. Also, we considered the dependence of correlation degrees of these three types of ultraviolet to average temperature and humidity at different months.
Conclusion: The results propose more correlation of UVA indices in August while such correlation of UVC radiations are yielded in December.
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27- Kasra Mohammadi, Shahaboddin Shamshirband, Chong Wen Tong, Khubaib Amjad Alam, Dalibor Petković, "Potential of adaptive neuro-fuzzy system for prediction of daily global solar radiation by day of the year." Energy Conversion and Management, Vol. 93pp. 406-13, (2015).
28- Jamshid Piri, Ozgur Kisi, "Modelling solar radiation reached to the Earth using ANFIS, NN-ARX, and empirical models (Case studies: Zahedan and Bojnurd stations)." Journal of Atmospheric and Solar-Terrestrial Physics, Vol. 123, pp. 39-47, (2015).
29- Reza Gholamnia et al., "Spatiotemporal analysis of solar ultraviolet radiation based on Ozone Monitoring Instrument dataset in Iran, 2005–2019.", Environ Pollut, Vol. 287p. 117643, (2021).
30- Ibrahim M Kadad, Kandil M Kandil, Talal H Alzanki, "Impact of UVB Solar Radiation on Ambient Temperature for Kuwait Desert Climate." Smart Grid and Renewable Energy, Vol. 11 (No. 8), pp. 103-25, (2020).
31- M Rezaei, K Khoshgard, H Mafakheri, and M Kanaani, "The measurement of solar ultraviolet radiation in Kermanshah city over a one-year period from 2015 to 2016." International Journal of Radiation Research,Vol. 15 (No. 4), pp. 419-23, (2017).
32- F Bouzarjomehri and V Tsapaki, "Measurement of solar ultraviolet radiation in Yazd, Iran." International Journal of Radiation Research, Vol. 10 (No. 3), pp. 187-91, (2012).
33- M Rezaei, K Khoshgard, H Mafakheri, and M Kanaani, "The measurement of solar ultraviolet radiation in Kermanshah city over a one-year period from 2015 to 2016." International Journal of Radiation Research, Vol. 15 (No. 4), pp. 419-23, (2017).
34- MB Tavakoli and Z Shahi, "Solar ultraviolet radiation on the ground level of Isfahan." International Journal of Radiation Research, Vol. 5 (No. 2), pp.101-4, (2007).
35- F Bouzarjomehri and V Tsapaki, "Measurement of solar ultraviolet radiation in Yazd, Iran." INTERNATIONAL JOURNAL OF RADIATION RESEARCH, Vol. 10 (No. 3), pp. 187-91, (2012).
2- Farzad V Farahani, Waldemar Karwowski, and Nichole R Lighthall, "Application of graph theory for identifying connectivity patterns in human brain networks: a systematic review." frontiers in Neuroscience, Vol. 13p. 585, (2019).
3- Luis Aparicio, Mykola Bordyuh, Andrew J Blumberg, and Raul Rabadan, "A random matrix theory approach to denoise single-cell data." Patterns, Vol. 1 (No. 3), p. 100035, (2020).
4- Timothy Ganesan, Pandian Vasant, Pratik Sanghvi, Joshua Thomas, Igor, "Random matrix generators for optimizing a fuzzy biofuel supply chain system." Journal of Advanced Engineering Litvinchev, and Computation, Vol. 4 (No. 1), pp. 33-50, (2020).
5- Matthias Thamm, Max Staats, and Bernd, "Random matrix analysis of deep neural network weight matrices." arXiv preprint arXiv:.14661 Rosenow, (2022).
6- Jarosław Kwapień and Stanisław Drożdż, "Physical approach to complex systems." Physics Reports, Vol. 515 (No. 3-4), pp. 115-226, (2012).
7- Asfandyar Khan et al., "A review of UV radiation protection on humans by textiles and clothing." International Journal of Clothing Science and Technology, Vol. 32 (No. 6), pp. 869-90, (2020).
8- Yuliya L Vechtomova, Taisiya A Telegina, Andrey A Buglak, and Mikhail S Kritsky, "UV radiation in DNA damage and repair involving DNA-photolyases and cryptochromes." Biomedicines, Vol. 9 (No. 11), p. 1564, (2021).
9- Mahmoud Naderi and Majid I Sabzpooshani, "On the importance of relative humidity for prediction of diffuse solar radiation in warm and humid climate of Iran." International Journal of Green Energy, Vol. 16 (No. 14), pp. 1230-41, (2019).
10- Maliheh Akhlaghi, Majid Radfard, Hossein Arfaeinia, Marzieh Soleimani, and Adibeh Fallahi, "Ultraviolet radiation rate in Mashhad, Iran." Data in brief, Vol. 19pp. 1086-91, (2018).
11- Hosna Janjani, Saharnaz Nedjat, Simin Nasseri, Fatemeh Haghighat Doost, and Ramin Nabizadeh, "Sun exposure and health safety practices of high school students in an urban population of Iran." BMC public health, Vol. 19 (No. 1), pp. 1-8, (2019).
12- Daniel E Roth et al., "Global prevalence and disease burden of vitamin D deficiency: a roadmap for action in low‐and middle‐income countries." Wiley Online Library, 0077-8923, (2018).
13- Maryam Marzban et al., "Prevalence of vitamin D deficiency and its associated risk factors among rural population of the northern part of the Persian Gulf." BMC Endocr Disord, Vol. 21 (No. 1), pp. 1-10, (2021).
14- Hamideh Ghazizadeh et al., "Prevalence of Vitamin D Deficiency in Iran: A Systematic Review and Meta-Analysis." Journal of Cardio Thoracic Medicine, Vol. 10 (No. 2), pp. 945-73, (2022).
15- Rebecca S Mason and Jorg Reichrath, "Sunlight vitamin D and skin cancer." Anti-Cancer Agents in Medicinal Chemistry, Vol. 13 (No. 1), pp. 83-97, (2013).
16- P Mehnati, H Sabri, R Meynaghizadeh Zargar, Y Rasulzadeh, D Mahmoudi, and R Malekzadeh, "Assessment of solar ultraviolet radiation in Tabriz city, Iran." International Journal of Radiation Research, Vol. 19 (No. 2), pp. 437-41, (2021).
17- Walter W Piegorsch, Eric P Smith, Don Edwards, and Richard L Smith, "Statistical advances in environmental science." Statistical Science, Vol. 13 (No. 2), pp. 186-208, (1998).
18- H Sabri and R A Malekzadeh, "Investigation of decay modes and stability effects on Spectral Statistics of different nuclei." Nuclear Physics, Vol. 963pp. 78-93, (2017).
19- MA Jafarizadeh, N Fouladi, H Sabri, and B Rashidian A Maleki, "Investigation of spectral statistics of nuclear systems by maximum likelihood estimation method." Nuclear Physics, Vol. 890pp. 29-49, (2012).
20- H Sabri, B Rashidian Maleki, H Fathi, and MA Jafarizadeh, "Nearest neighbor spacing distribution of U (5)↔ SO (6) transitional region." The European Physical Journal Plus, Vol. 129 (No. 3), pp. 1-11, (2014).
21- A Jalili Majarshin, Feng Pan, H Sabri, and Jerry P Draayer, "Systematic analysis on spectral statistics of odd-A nuclei." Annals of Physics, Vol. 407pp. 250-60, (2019).
22- A Al-Sayed and AY C Abul-Magd, "Level statistics of deformed even-even nuclei." Physical Review, Vol. 74 (No. 3), p. 037301, (2006).
23- Declan C Mulhall, "Maximum likelihood method to correct for missed levels based on the Δ 3 (L) statistic." Physical Review, Vol. 83 (No. 5), p. 054321, (2011).
24- Norbert Rosenzweig and Charles E Porter, "" Repulsion of Energy Levels" in Complex Atomic Spectra." Physical Review, Vol. 120 (No. 5), p. 1698, (1960).
25- H and KhoraSanizadeh, K Mohammadi, "Introducing the best model for predicting the monthly mean global solar radiation over six major cities of Iran." Energy, Vol. 51pp. 257-66, (2013).
26- Majid Sabzpooshani and Kasra Mohammadi, "Establishing new empirical models for predicting monthly mean horizontal diffuse solar radiation in city of Isfahan, Iran." Energy, Vol. 69pp. 571-77, (2014).
27- Kasra Mohammadi, Shahaboddin Shamshirband, Chong Wen Tong, Khubaib Amjad Alam, Dalibor Petković, "Potential of adaptive neuro-fuzzy system for prediction of daily global solar radiation by day of the year." Energy Conversion and Management, Vol. 93pp. 406-13, (2015).
28- Jamshid Piri, Ozgur Kisi, "Modelling solar radiation reached to the Earth using ANFIS, NN-ARX, and empirical models (Case studies: Zahedan and Bojnurd stations)." Journal of Atmospheric and Solar-Terrestrial Physics, Vol. 123, pp. 39-47, (2015).
29- Reza Gholamnia et al., "Spatiotemporal analysis of solar ultraviolet radiation based on Ozone Monitoring Instrument dataset in Iran, 2005–2019.", Environ Pollut, Vol. 287p. 117643, (2021).
30- Ibrahim M Kadad, Kandil M Kandil, Talal H Alzanki, "Impact of UVB Solar Radiation on Ambient Temperature for Kuwait Desert Climate." Smart Grid and Renewable Energy, Vol. 11 (No. 8), pp. 103-25, (2020).
31- M Rezaei, K Khoshgard, H Mafakheri, and M Kanaani, "The measurement of solar ultraviolet radiation in Kermanshah city over a one-year period from 2015 to 2016." International Journal of Radiation Research,Vol. 15 (No. 4), pp. 419-23, (2017).
32- F Bouzarjomehri and V Tsapaki, "Measurement of solar ultraviolet radiation in Yazd, Iran." International Journal of Radiation Research, Vol. 10 (No. 3), pp. 187-91, (2012).
33- M Rezaei, K Khoshgard, H Mafakheri, and M Kanaani, "The measurement of solar ultraviolet radiation in Kermanshah city over a one-year period from 2015 to 2016." International Journal of Radiation Research, Vol. 15 (No. 4), pp. 419-23, (2017).
34- MB Tavakoli and Z Shahi, "Solar ultraviolet radiation on the ground level of Isfahan." International Journal of Radiation Research, Vol. 5 (No. 2), pp.101-4, (2007).
35- F Bouzarjomehri and V Tsapaki, "Measurement of solar ultraviolet radiation in Yazd, Iran." INTERNATIONAL JOURNAL OF RADIATION RESEARCH, Vol. 10 (No. 3), pp. 187-91, (2012).
| Files | ||
| Issue | Vol 11 No 1 (2024) | |
| Section | Original Article(s) | |
| DOI | https://doi.org/10.18502/fbt.v11i1.14505 | |
| Keywords | ||
| Random Matrix Theory Modeling Environmental Radiation Ultra Violet | ||
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How to Cite
1.
Malekzadeh R, Seidi M, Asadpour N, Sabri H. Prediction of Solar Ultraviolet Radiations Using Random Matrix Theory. Frontiers Biomed Technol. 2023;11(1):6-13.
