tag:blogger.com,1999:blog-70944997225656978302024-03-20T00:15:15.498+02:00Janne Hakkarainen WeblogThe views and opinions expressed in this blog are strictly those of the author. The contents of this blog has not been approved by the Finnish Meteorological Institute.Unknownnoreply@blogger.comBlogger106125tag:blogger.com,1999:blog-7094499722565697830.post-14489278883441826072023-09-22T13:14:00.001+03:002023-09-22T13:21:17.223+03:00Satellites capture socioeconomic disruptions during the 2022 full-scale war in Ukraine<br /><div><p style="box-sizing: border-box; margin-bottom: 1rem; margin-top: 0px;"><span face="-apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, Noto Sans, Liberation Sans, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji" style="color: #212529;"><span style="caret-color: rgb(33, 37, 41); letter-spacing: 0.1px; white-space: pre-line;"><i>Satellite observations show significantly reduced air pollution levels over the major Ukrainian cities, power plants and industrial areas.</i></span></span></p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">Since February 2022, the full-scale war in Ukraine has been strongly affecting society and economy in Ukraine. Satellite observations provide crucial information to objectively monitor and assess the impacts of the war. <a class="external" href="https://www.nature.com/articles/s41598-023-42118-w" style="background-image: url("data:image/svg+xml;base64,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"); background-position: 100% center; background-repeat: no-repeat no-repeat; background-size: 16px 16px; border-bottom-color: rgb(2, 184, 206); border-bottom-style: solid; border-bottom-width: 1px; box-sizing: border-box; color: #303193; font-weight: 600; padding-right: 20px; text-decoration: none;">A new paper published today on Scientific Reports</a> utilizes satellite observations of air pollutants and other relevant parameters from multiple platforms to assess the impacts of the ongoing war on the Ukrainian society. Satellite observations show that the concentrations of nitrogen dioxide (NO₂), which is emitted through fossil fuel combustion processes, declined in 2022 over the major Ukrainian cities, power plants and industrial areas by 15–46%.</p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">Such reductions reflect the decrease in population and corresponding emissions from the transport and commercial or residential sectors as well as the decline in industrial production, especially from the metallurgic and chemical industry, which led to a reduction in power demand and corresponding electricity production from power plants. Carbon dioxide (CO₂) observations also indicate reductions in fossil fuel combustion, especially in eastern Ukraine, where the largest emission sources are located.</p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWmqqgaCkiBYTlspMcjPrLJqIYH_FLGpmJOVBZVSKAOg0lvD9_L47nRCEJCN1-Ds1AOr2jXWASnj1hQ5rD15GQIqHPF6BxLhj0mVZGGQmMKyaHhquqJnGrvlWtCdA4yZCJ1OEDfuaxP9LGiG26my2qkvA3KfN_hCzsVVWTmv33S6kLxLUmXMd0jJ0hVN0/s1354/Na%CC%88ytto%CC%88kuva%202023-9-22%20kello%2013.12.06.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="754" data-original-width="1354" height="223" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWmqqgaCkiBYTlspMcjPrLJqIYH_FLGpmJOVBZVSKAOg0lvD9_L47nRCEJCN1-Ds1AOr2jXWASnj1hQ5rD15GQIqHPF6BxLhj0mVZGGQmMKyaHhquqJnGrvlWtCdA4yZCJ1OEDfuaxP9LGiG26my2qkvA3KfN_hCzsVVWTmv33S6kLxLUmXMd0jJ0hVN0/w400-h223/Na%CC%88ytto%CC%88kuva%202023-9-22%20kello%2013.12.06.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Difference of the March-August mean tropospheric NO2 columns between 2022 and 2021 based on S5P/TROPOMI observations. Blue colors indicate reductions observed in 2022. Black dots correspond to the major cities, industrial areas and power plants.</td></tr></tbody></table><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;"><br /></p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">“During peaceful times, reductions in nitrogen dioxide concentrations as those observed here would be considered as a welcome improvement of air quality and human health. In this case, the observed changes tell a different story about the extent of the disruption caused by the war on the Ukrainian society and economy. Also, the reductions in fossil fuel consumption in Ukraine might have been partly offset by an increase elsewhere”, explains senior researcher at the Finnish Meteorological Institute<span style="box-sizing: border-box;"> <b>Iolanda Ialongo</b></span>, who led the work.</p><h2 style="box-sizing: border-box; color: #303193; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 1.2rem; letter-spacing: 0.1px; line-height: 1.2; margin-bottom: 0.5rem; margin-top: 15px;">Exceptional fire patterns near the front line </h2><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">Satellite imagery and fire detections indicate an anomalous distribution of fires along the front line, which are attributable to shelling or other war-related fires, rather than the typical homogeneously distributed fires related to crop harvesting. Satellite imagery data also show drastic changes over the city of Mariupol, which was attacked during the first three months of the war.</p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">The signal from the hot smokes from the metallurgic industrial facilities in the city disappears from the satellite imagery after March 2022, which suggest an interruption of industrial activities, and, correspondingly, NO₂ levels decreased.</p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">The results are based on the NO₂ retrievals from the European TROPOMI (TROPOspheric Monitoring Instrument), onboard the Sentinel 5 Precursor satellite, and the CO₂ observations from the NASA’s OCO-2 satellite. Also satellite imagery from the Sentinel 2 satellite was analyzed as well as fire detectionsfrom the Visible Infrared Imaging Radiometer Suite (VIIRS).</p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;">The research was carried on at the Finnish Meteorological Institute together with colleagues from the University of Lviv (Ukraine) and USRA (USA). The Finnish part of the research was supported by the Ministry for Foreign Affairs of Finland via theInterinstitutional Development Cooperation Instrument (ICI), UHMC-FMI Meteorology project and the Research Council of Finland.</p><p style="box-sizing: border-box; caret-color: rgb(33, 37, 41); color: #212529; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; letter-spacing: 0.1px; margin-bottom: 1rem; margin-top: 0px; white-space: pre-line;"><b>Reference:</b> Ialongo, I., Bun, R., Hakkarainen, J. <em style="box-sizing: border-box;">et al.</em> Satellites capture socioeconomic disruptions during the 2022 full-scale war in Ukraine. <em style="box-sizing: border-box;">Sci Rep</em> <span style="box-sizing: border-box;">13</span>, 14954 (2023). <a class="external" href="https://doi.org/10.1038/s41598-023-42118-w" style="background-image: url("data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCI+PGcgZmlsbD0ibm9uZSI+PHJlY3Qgd2lkdGg9IjI0IiBoZWlnaHQ9IjI0IiByeD0iMTIiLz48cGF0aCBmaWxsPSIjMzAzMTkzIiBkPSJNMTAuMDAyIDNhMSAxIDAgMDEuMTE3IDEuOTkzTDEwLjAwMiA1SDZhMSAxIDAgMDAtLjk5My44ODNMNSA2djEyYTEgMSAwIDAwLjg4My45OTNMNiAxOWgxMmExIDEgMCAwMC45OTMtLjg4M0wxOSAxOHYtNGExIDEgMCAwMTEuOTkzLS4xMTdMMjEgMTR2NGEzIDMgMCAwMS0yLjgyNCAyLjk5NUwxOCAyMUg2YTMgMyAwIDAxLTIuOTk1LTIuODI0TDMgMThWNmEzIDMgMCAwMTIuODI0LTIuOTk1TDYgM2g0LjAwMnoiLz48cGF0aCBmaWxsPSIjMzAzMTkzIiBkPSJNMTkuOTY3IDNhMSAxIDAgMDEuOTkzLjg4M2wuMDA3LjExN3Y1LjAwMWExIDEgMCAwMS0xLjk5NC4xMTdsLS4wMDYtLjExNy0uMDAxLTIuNTU0LTguMjY0IDguMjZhMSAxIDAgMDEtMS40OTctMS4zMmwuMDg0LS4wOTQgOC4yOTctOC4yOTRMMTUgNWExIDEgMCAwMS0uOTkzLS44ODNMMTQgNGExIDEgMCAwMS44ODMtLjk5M0wxNSAzaDQuOTY3eiIvPjwvZz48L3N2Zz4="); background-position: 100% center; background-repeat: no-repeat no-repeat; background-size: 16px 16px; border-bottom-color: rgb(2, 184, 206); border-bottom-style: solid; border-bottom-width: 1px; box-sizing: border-box; color: #303193; font-weight: 600; padding-right: 20px; text-decoration: none;">https://doi.org/10.1038/s41598-023-42118-w</a></p></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-3374560382107675852023-09-17T08:05:00.005+03:002023-09-17T08:10:11.032+03:00Two weeks in China<div>Hello,</div><div><br /></div><div>some while a go me and my buddy Prof. Dongxu Yang got a joint Finland-China cooperation project together. He got the money from the Chinese Academy of Sciences (CAS) to travel to Finland and I got the money from the Research council of Finland to travel to China.</div><div><br /></div><div>During the COVID-19 it was difficult to travel. But finally, after a long wait, I got to travel to China in September 2023. The travel plan was quite simple: The first week I would be visiting Dongxu at the Institute of Atmospheric Physics (IAP), CAS, and the second one we would be in the ESA-MOST DRAGON symposium in Inner Mongolia.</div><div><br /></div><div>The first week was full of interesting discussions with many different people. For example, I got to see the drone equipment and we had discussions how they are planning to estimate CO<sub>2</sub> emissions from power plants and validate satellite-based results. They plan to use cross-sectional flux methods, as I have done in my own research. I was happy to see that they use sensors from the Finnish Vaisala company.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6rDBnqyaz0WyC4QDHeds7eYqamTaALKeTvaIAZybVOyTak29fqkS8olBPnRm8gIy_coP8OOR0KsmCd_kAwDmkfjQTPcnK_F3PCGrXvntERvM1Bw9zoXNbzK4wEVve39VFcbfL9awdZmkhtMhrH502RgLSax4d3eO2IAbkKw9--xHUcl0Mp_T3alcdG7E/s4000/1000005213.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2250" data-original-width="4000" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6rDBnqyaz0WyC4QDHeds7eYqamTaALKeTvaIAZybVOyTak29fqkS8olBPnRm8gIy_coP8OOR0KsmCd_kAwDmkfjQTPcnK_F3PCGrXvntERvM1Bw9zoXNbzK4wEVve39VFcbfL9awdZmkhtMhrH502RgLSax4d3eO2IAbkKw9--xHUcl0Mp_T3alcdG7E/w400-h225/1000005213.jpg" width="400" /></a></div><div><br /></div><div>I also got to speak about my work on the IAP seminar. After the seminar, I had some nice discussion about my work with Kai Wu who has previously worked on MicroCarb project at the University of Edinburgh. Actually, surprisingly many of the people I met, have worked there. At IAP they have many seminars. On the same day that I gave my seminar presentation, we went to see some AI/ML seminar by some famous Chinese scientist. The seminar was in Chinese, so I couldn’t follow much even though the slides were in English.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLpT13sVgANnPnUckIsVwNYG_lcw8IoB_m7A2IccfACFitLruv9QSbVwl6NvODiPmQS14WANfbcUAbcB08uC0qRY_iiCnKUfiQ7Ua7SqTjaFAO9iilTXuS5tmKy-XSujGBVNa9QX6piM4aOTdxKcyu_F4tEWSp8NTA8e2hFo0R380bo4hbv81NujxjSZ4/s2092/Na%CC%88ytto%CC%88kuva%202023-9-16%20kello%2018.34.03.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1344" data-original-width="2092" height="258" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLpT13sVgANnPnUckIsVwNYG_lcw8IoB_m7A2IccfACFitLruv9QSbVwl6NvODiPmQS14WANfbcUAbcB08uC0qRY_iiCnKUfiQ7Ua7SqTjaFAO9iilTXuS5tmKy-XSujGBVNa9QX6piM4aOTdxKcyu_F4tEWSp8NTA8e2hFo0R380bo4hbv81NujxjSZ4/w400-h258/Na%CC%88ytto%CC%88kuva%202023-9-16%20kello%2018.34.03.png" width="400" /></a></div><div><br /></div><div>The week was also full of interesting dinners with interesting people and some sightseeing of course. I also got the visit the Earth Lab with Dongxu. During my visit the institute also had its 95th birthday and during weekend they had big celebration at the Earth Lab.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK27FPVDxZmPZEhFpj_rALs-VKNHfIQ-mKZD1jV37Ou9YDilxLbnZxOqvO-BRtQfky05LRleD2vNANILJzjMWFZoBmUvuzRPRGa6w1GOjCbC1JAZex4wGympSv5R9onyJ_U07Gb2AOoTpxWTJFg6vfq84K6pXE3hNTv2X390I25eOqNgK17fSsZJY1SkY/s3408/1000005350.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1916" data-original-width="3408" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK27FPVDxZmPZEhFpj_rALs-VKNHfIQ-mKZD1jV37Ou9YDilxLbnZxOqvO-BRtQfky05LRleD2vNANILJzjMWFZoBmUvuzRPRGa6w1GOjCbC1JAZex4wGympSv5R9onyJ_U07Gb2AOoTpxWTJFg6vfq84K6pXE3hNTv2X390I25eOqNgK17fSsZJY1SkY/w400-h225/1000005350.jpg" width="400" /></a></div><div><br /></div><div>On Sunday evening me, Dongxu and Prof. Liu traveled together on a high-speed train to Inner Mongolia’s capital Hohhot where the DRAGON symposium takes place. The train stations in China seem like airports and trains like airplanes. In general, on a technological level, it seems that Chinese people are ahead of Europeans. For example, everything is paid and done on a mobile app.</div><div><br /></div><div>On Monday, Prof. Liu organized a Workshop on China-EU GHGs measurement from Space. I also got to present my work and we had discussions on co-operations between European Copernicus CO2M and China’s TanSat-2 missions.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhP6v9qcZd---S_XKnUmIt7-Kuf-_4gNbP0gfdNWV3mC2FcX1RTMXXgd4pBWTKDfI46H-XdMKSwEir6Hgh0rS_CL_3MFMsUnfah_7Brw27LD1iH2Ri1VbDeihTLLxc606HTtz8m4cXVVlEE3YTiIgZAQj69_l5q2DC9_RbDtHtTZYQULXd9WM5mwJl3HJk/s2372/Na%CC%88ytto%CC%88kuva%202023-9-16%20kello%2018.33.30.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1044" data-original-width="2372" height="176" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhP6v9qcZd---S_XKnUmIt7-Kuf-_4gNbP0gfdNWV3mC2FcX1RTMXXgd4pBWTKDfI46H-XdMKSwEir6Hgh0rS_CL_3MFMsUnfah_7Brw27LD1iH2Ri1VbDeihTLLxc606HTtz8m4cXVVlEE3YTiIgZAQj69_l5q2DC9_RbDtHtTZYQULXd9WM5mwJl3HJk/w400-h176/Na%CC%88ytto%CC%88kuva%202023-9-16%20kello%2018.33.30.png" width="400" /></a></div><div><br /></div><div>Tuesday marked the official opening of the DRAGON Symposium and the symposium started with some traditional Inner Mongolian music. During the poster session I had interesting discussions with Qiangian Zhang, who has done similar work that I have. I also presented a paper poster.</div><div><br /></div><div>Wednesday was our DRAGON project main day, and Prof. Liu presented the project very well. We also prepared a summary slide of our work that Ronald van der A presented at the final session summaries. Our recommendations to ESA and MOST were:</div><div><ol style="text-align: left;"><li>High-level co-operation between TanSat-2 and Copernicus CO2M missions to be organized by ESA and MOST</li><li>TanSat-2 to be included as an ESA Third Party Mission</li></ol></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgk01sMWWLsUhLcPSpCp4Lk24EWjkzYrEO0Y1HS7dPN0xjlpEkDp3Tl16tcr-V5as8MoE4M7AFcJhA2LytGqHwBBwlBcGRiZ9ve02LbDycrMFCCOvUY8GjKTFLQ8wIuK399XCap5jAyQJza6rleBzasvqlP9e2O2rdbygs2ZiCQfM289mbUbj63WDlKbiQ/s1702/mmexport1694740934329.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1276" data-original-width="1702" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgk01sMWWLsUhLcPSpCp4Lk24EWjkzYrEO0Y1HS7dPN0xjlpEkDp3Tl16tcr-V5as8MoE4M7AFcJhA2LytGqHwBBwlBcGRiZ9ve02LbDycrMFCCOvUY8GjKTFLQ8wIuK399XCap5jAyQJza6rleBzasvqlP9e2O2rdbygs2ZiCQfM289mbUbj63WDlKbiQ/w400-h300/mmexport1694740934329.jpg" width="400" /></a></div><div><br /></div><div>On Friday afternoon I took a train back to Beijing with a fantastic duo from IAP/CAS: Lu Yao and Yuli Zhang. After the train arrived at Beijing, they were kind enough to put me in taxi on towards the airport hotel. On Saturday morning I started my journey back to Europe and on Sunday at 1:30 a.m. I arrived home. Then I rested.</div><div><br /></div><div>Thank you!</div><div><br /></div><div>Janne</div><div><br /></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-84405090879742921262023-02-21T15:10:00.002+02:002023-02-21T15:13:20.577+02:00Building a Bridge: Estimating Carbon Dioxide Emissions Using Satellites<p><b style="font-family: Calibri, sans-serif;"><span lang="EN-US">Building a Bridge: Estimating Carbon Dioxide Emissions Using Satellites</span></b></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><i><span lang="EN-US">A team of researchers estimated the carbon dioxide (CO<sub>2</sub>) emissions from coal-fired power plants and other major anthropogenic point sources in the South African Highveld region using space-based data. The results indicate that the CO<sub>2</sub> emissions can be obtained also in challenging cases where the plumes from multiple sources overlap.<o:p></o:p></span></i></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The new publication characterizes CO<sub>2</sub> emissions using data from NASA’s Orbiting Carbon Observatory-3 (OCO-3) and European Copernicus Sentinel-5P/TROPOMI.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The article analyses the emissions of six power stations (Kendal, Kriel, Matla, Majuba, Tutuka and Grootvlei) and the largest single emitter of greenhouse gas in the world, Secunda CTL synthetic fuel plant. The annual CO₂ emissions of the Secunda CTL exceed the emissions of several European countries, including Finland, Norway, and Portugal. <o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">Overall, the space-based emission estimates are in good agreement with the emission inventories. Thus, satellite observations can be used for CO<sub>2</sub> emission estimation and are particularly useful when no other information is available.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">Orbiting Carbon Observatory-3 mission operates on the International Space Station (ISS). To support the quantification and monitoring of anthropogenic CO₂ emissions, OCO-3 incorporates a new key capability that provides observations in Snapshot Area Maps (SAMs), providing contiguous images over regions as large as 80 km by 80 km in two minutes. Altogether the article analyzes six OCO-3 SAMs jointly with Sentinel-5P/TROPOMI nitrogen dioxide (NO<sub>2</sub>) columns.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"><br /></span></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYusAV2yGtaqW_GZzHPuo5frCcK89Ouf-Fx7su6Y_bLeTN31C_zsBPJDP-hsxOPIw5exWiL4LQz3vOAlpzu15XWxVMDr-QahtB-YMAkVJdcUNyI6fZb-wEN94jFa-916NXwb-3zx5myL_induknpsX6xS8Hq83bVP3gzHnIAPZAagBM-tTMqsvc_n7/s964/image-2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="868" data-original-width="964" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYusAV2yGtaqW_GZzHPuo5frCcK89Ouf-Fx7su6Y_bLeTN31C_zsBPJDP-hsxOPIw5exWiL4LQz3vOAlpzu15XWxVMDr-QahtB-YMAkVJdcUNyI6fZb-wEN94jFa-916NXwb-3zx5myL_induknpsX6xS8Hq83bVP3gzHnIAPZAagBM-tTMqsvc_n7/w400-h360/image-2.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="caret-color: rgb(68, 84, 106); color: #44546a; font-family: Calibri, sans-serif; font-size: 12px; font-style: italic; text-align: left;">Sentinel-5P/TROPOMI NO₂ and OCO-3 XCO₂ SAM observations on 21 January 2022.</span></td></tr></tbody></table><div><br /></div><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The new article is a continuation of the </span><a href="https://eo4society.esa.int/2021/06/14/carbon-dioxide-emission-plumes-from-a-large-power-station-detected-from-space/" style="color: #954f72;"><span lang="EN-US">previous work</span></a><span lang="EN-US"> where the authors studied the emissions and NOx-to-CO₂ emission ratio of the isolated Matimba power station. The article extends the method to challenging cases where CO₂ plumes from multiple sources overlap.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The applicability of similar emission estimation approaches for future satellite missions such as the Copernicus Carbon Dioxide Monitoring mission CO2M are discussed. CO2M is Copernicus Sentinel Expansion missions and will focus on carbon dioxide released into the atmosphere specifically through human activity.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The research was carried on at Finnish Meteorological Institute together with colleagues from USRA, Colorado State University and Caltech/JPL. The Finnish part of the research was supported by European Space Agency (</span><a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/" style="color: #954f72;"><span lang="EN-US">DACES</span></a><span lang="EN-US">), Academy of Finland (CitySpot, </span><a href="https://www.helsinki.fi/en/researchgroups/centre-of-excellence-of-inverse-modelling-and-imaging" style="color: #954f72;"><span lang="EN-US">CoE inverse</span></a><span lang="EN-US"> and </span><a href="https://www.acccflagship.fi/" style="color: #954f72;"><span lang="EN-US">ACCC</span></a><span lang="EN-US">) and EU-H2020 </span><a href="https://coco2-project.eu/" style="color: #954f72;"><span lang="EN-US">CoCO2</span></a><span lang="EN-US">.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"></span></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US">The full publication by Hakkarainen and co-authors can be found at the following link: </span><a href="https://doi.org/10.1088/1748-9326/acb837" style="color: #954f72;"><span lang="EN-US">https://doi.org/10.1088/1748-9326/acb837</span></a><span lang="EN-US"><o:p></o:p></span></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-1623095504983991932022-11-09T15:51:00.000+02:002022-11-09T15:51:09.607+02:00Optical flow<p>Hi Guys,</p><p>when I was visiting <a href="https://www.helsinki.fi/en/researchgroups/inverse-problems">the inverse problems research group</a> at the University of Helsinki I learned about the method called <a href="https://en.wikipedia.org/wiki/Optical_flow">optical flow</a>. We used this method in out paper on <a href="http://www.siltanen-research.net/publ/HakkarainenPurishaSolonenSiltanen2019.pdf">dynamic X-ray data</a>.</p><p>Recently, I've been studying how the optical flow method could be applied to my current research on CO<sub>2</sub> emission estimation.</p><p>Of course I had to try the optical flow method also on myself</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj26PgiENov3-5I61YVb6H67jQrlT8RHM9-nbl8rMjfku-OWOJydyX49U1H6yJDSmnmO-alRSq36RNghfTeB5T0TVjjMsqGGgSf-uMdq4iRauoPAxi-Wv9HFHN5JEEpv790_b6FZeRvcmmfJ48IFpmRDVfkoR5Ud8lraDAGXWpbBwR_1PdfppHi2VTA/s800/JanneAnimaatioSmall.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="600" data-original-width="800" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj26PgiENov3-5I61YVb6H67jQrlT8RHM9-nbl8rMjfku-OWOJydyX49U1H6yJDSmnmO-alRSq36RNghfTeB5T0TVjjMsqGGgSf-uMdq4iRauoPAxi-Wv9HFHN5JEEpv790_b6FZeRvcmmfJ48IFpmRDVfkoR5Ud8lraDAGXWpbBwR_1PdfppHi2VTA/w400-h300/JanneAnimaatioSmall.gif" width="400" /></a></div><br /><p>Note that this method is not based on machine learning.</p><p>Cheers,</p><p>Janne</p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-61473285661255378552022-07-09T16:50:00.004+03:002022-07-09T16:55:30.089+03:00Uusi menetelmä ihmisten aiheuttamien hiilidioksidipäästöjen seurantaan avaruudesta<p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><b>Uusi menetelmä ihmisten aiheuttamien hiilidioksidipäästöjen seurantaan avaruudesta<o:p></o:p></b></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><o:p> </o:p></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;">Vuonna 2015 solmitun Pariisin ilmastosopimuksen myötä ihmisten aiheuttamien kasvihuonekaasupäästöjen monitorointi on noussut entistä tärkeämmäksi. Tämän johdosta Euroopan komission maanseurantaohjelma Copernicus on valmistelemassa uutta CO2M-missiota, jonka tarkoituksena on erityisesti keskittyä ihmisten aiheuttamien hiilioksidipäästöjen seurantaan. Satelliittikonstellaation on tarkoitus koostua kahdesta tai useammasta satelliitista, jotka havainnoivat hiilidioksidia (CO<sub>2</sub>) ja typpidioksidia (NO<sub>2</sub>) 250 km laajuisella kaistalla 4 km<sup>2</sup> spatiaalisella resoluutiolla. Ensimmäinen satelliitti on tarkoitus laukaista vuonna 2025.</p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE5HfMg1VUpT8e2t8kM_CRBD_5Xu5bZK5JR5MLMZfTLm2kpmdHx5FIZe1Z4a0wrJgiJkh-EwOm7uPtOtczNsUQafivg6MzM42DY3HsKYeDgYILoynBM8eMm1PtGPHy2JcaEfJdGPIkZ_83Z-AT6Xo1X1Y2oj1tQAFYxHnXyiP8jNwymQlGNwD-lTov/s1124/Na%CC%88ytto%CC%88kuva%202022-7-9%20kello%2015.52.10.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="886" data-original-width="1124" height="315" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE5HfMg1VUpT8e2t8kM_CRBD_5Xu5bZK5JR5MLMZfTLm2kpmdHx5FIZe1Z4a0wrJgiJkh-EwOm7uPtOtczNsUQafivg6MzM42DY3HsKYeDgYILoynBM8eMm1PtGPHy2JcaEfJdGPIkZ_83Z-AT6Xo1X1Y2oj1tQAFYxHnXyiP8jNwymQlGNwD-lTov/w400-h315/Na%CC%88ytto%CC%88kuva%202022-7-9%20kello%2015.52.10.png" title="Simuloituja CO2M-satelliitin XCO2-havaointoja. Kuva: Gerrit Kuhlmann, Empa." width="400" /></a></div><span style="caret-color: rgb(68, 84, 106); color: #44546a; font-family: Calibri, sans-serif; font-size: 12px; font-style: italic;"><div style="text-align: center;">Simuloituja CO2M-satelliitin XCO<sub>2</sub>-havaointoja. Kuva: Gerrit Kuhlmann, Empa.</div></span><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><br /></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;">Julkaistussa tutkimuksessa kehitettiin uusi divergenssimenetelmä, jonka avulla voidaan laskea hiilidioksidin ja typen oksidien (NO<sub>x</sub>) päästöt kaupungeista ja voimaloista. Menetelmää sovellettiin mallisimulaatioista saatuihin synteettisiin CO2M-havaintoihin (esitetty kuvassa). Koska CO<sub>2</sub>-havaintojen tausta ja kohina ovat suuria verrattuna havaittuihin päästölisäyksiin, julkaisussa sovellettiin myös erilaisia kohinansuodatusmenetelmiä. Divergenssimenetelmä saadut päästöestimaatit ovat linjassa odotettujen arvojen kanssa. Julkaisussa keskusteltiin myös hiilidioksidipäästöjen laskemisesta NO<sub>x</sub>-päästöistä käyttäen hyväksi suoraan satelliittihavainnoista laskettua NO<sub>x</sub>:CO<sub>2</sub>-suhdetta. Yleisesti tutkimuksessa havaittiin, että divergenssimenetelmä antaa hyvän vaihtoehtoisen tavan laskea CO<sub>2</sub>-päästöt verrattuna esimerkiksi inversiomallinnusmenetelmiin ja menetelmiin, jotka laskevat päästöt yksittäisistä satelliittikuvista.<o:p></o:p></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><o:p> </o:p></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;">Tutkimus on tehty yhteistyössä Ilmatieteen laitoksen ja Sveitsiläisen Empa-instituutin kanssa. Sen rahoittamiseen ovat osallistuneet EU:n H2020-projekti <a href="https://coco2-project.eu/" style="color: #954f72;">CoCO2</a> ja Euroopan avaruusjärjestö ESA:n rahoittama projekti <a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/" style="color: #954f72;">DACES</a>, sekä Suomen Akatemia (CitySpot, ACCC, <a href="https://www.aka.fi/tutkimusrahoitus/ohjelmat-ja-muut-rahoitusmuodot/huippuyksikkoohjelmat/kaynnissa-olevat-huippuyksikot/inversiomallinnuksen-ja-kuvantamisen-huippuyksikko/" style="color: #954f72;">Inversiomallinnuksen ja kuvantamisen huippuyksikkö</a>).<o:p></o:p></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><br /></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><br /></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><br /></p><p class="MsoNormal" style="font-family: Calibri, sans-serif; margin: 0cm;"><span lang="EN-US"><b>Viite:</b> Janne Hakkarainen, Iolanda Ialongo, Erik Koene, Monika E. Szeląg, Johanna Tamminen, Gerrit Kuhlmann, Dominik Brunner: Analyzing Local Carbon Dioxide and Nitrogen Oxide Emissions From Space Using the Divergence Method: An Application to the Synthetic SMARTCARB Dataset, <i>Frontiers in Remote Sensing</i>, <b>vol 3</b>, 2022, doi:10.3389/frsen.2022.878731, <a href="https://www.frontiersin.org/articles/10.3389/frsen.2022.878731" style="color: #954f72;">Linkki</a><o:p></o:p></span></p><br />Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-5213436647844302422022-06-10T00:11:00.001+03:002022-06-10T00:15:04.722+03:00Anthropogenic Emission Monitoring with the Copernicus CO2 Monitoring Mission<span style="font-family: inherit;">Hi guys,</span><div><span style="font-family: inherit;"><br /></span></div><div><span style="font-family: inherit;">I am pleased to say that our manuscript was accepted today for the CO2M special issue “Anthropogenic Emission Monitoring with the Copernicus CO2 Monitoring Mission” in Frontiers in Remote Sensing.</span></div><div><span style="font-family: inherit;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><img alt="" data-original-height="136" data-original-width="458" height="59" src="https://blogger.googleusercontent.com/img/a/AVvXsEgbcVCW0JCRNFCfBuhXtLkHsCwRnY5A4V-nNok9PBUEw-QrL_XZ9TZVj0p3-9nUHe3aZCfc-JshD2fYM-1MalxS2WfbtBzeNdeWWCjskA77LdVsM6qbYFTKFk1iIcAiHYvGvoB_MlgGlw23GfoMBTzGXH8vtkH5d1Xm1vIZW5tfKkd8zSSZ8cquN2Ud=w200-h59" style="margin-left: auto; margin-right: auto;" width="200" /></td></tr><tr><td class="tr-caption" style="text-align: center;"><br /></td></tr></tbody></table></div><div><span style="font-family: inherit;">You can find the special issue here: <a href="https://www.frontiersin.org/research-topics/20546/anthropogenic-emission-monitoring-with-the-copernicus-co2-monitoring-mission#articles">https://www.frontiersin.org/research-topics/20546/anthropogenic-emission-monitoring-with-the-copernicus-co2-monitoring-mission#articles</a></span></div><div><span style="font-family: inherit;"><br /></span></div><div><span style="font-family: inherit;">Our paper is called “Analyzing local carbon dioxide and nitrogen oxide emissions from space using the divergence method: An application to the synthetic SMARTCARB dataset” and it is joint work between Finnish Meteorological Institute and Empa, Switzerland. The abstract is already online: <a href="https://www.frontiersin.org/articles/10.3389/frsen.2022.878731/abstract">https://www.frontiersin.org/articles/10.3389/frsen.2022.878731/abstract</a></span></div><div><span style="font-family: inherit;"><br /></span></div><div><span style="font-family: inherit;">I will write more about the paper when it is officially published!</span></div><div><span style="font-family: inherit;"><br /></span></div><div><span style="font-family: inherit;">Stay tuned!</span></div><div><span style="font-family: inherit;"><br /></span></div><div><span style="font-family: inherit;">Janne</span></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-34134680409671880632022-02-02T21:36:00.000+02:002022-02-02T21:36:09.487+02:00<p>Hi guys,</p><p>yesterday I was thinking what would happened if one would start Conway's Game of Life from the Ulam Spiral...</p>
<iframe width="400" height="242" src="https://www.youtube.com/embed/ta2ByeW7HgU" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
<br><p>-Janne</p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-57498840338856971532021-09-13T15:22:00.002+03:002021-09-13T15:28:46.717+03:00Emissions from Siberian oil fields detected from spaceHi guys,<div><br /></div><div>I wanted to advertize our new paper on Atmospheric Environmemt: X "Satellite-based estimates of nitrogen oxide and methane emissions from gas flaring and oil production activities in Sakha Republic, Russia." It is a very nice collaborative effort between natural and social sciences led by Iolanda. The results are strongly related to our ESA-funded <a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/">DACES project</a>.</div><div><br /></div><div>In the paper there are lot of interesting analysis on nitrogen oxide and methane emissions in Tas-Yuryakh and Talakan oil fields. One of my favorite pictures is the one below illustrating methane anomalies as observed S5P/TROPOMI over Talakan. The patterns of the site are clearly visible.</div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyBvi6gfib37wBO3y3fc-mzSkpQ0J2HLM_K8g6yv-GsuO5bMmx9mR8upBJxfMgIguYO33ZKR1BU9VOUwy3KsKzmQd_CymbQc6ne4d14WPG0q2aiYlX9YGpni5pftJvSb4FDyd9sODfIqY/s1384/Methane_Talakan.png" style="display: block; margin-left: auto; margin-right: auto; padding: 1em 0px; text-align: center;"><img alt="" border="0" data-original-height="1121" data-original-width="1384" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyBvi6gfib37wBO3y3fc-mzSkpQ0J2HLM_K8g6yv-GsuO5bMmx9mR8upBJxfMgIguYO33ZKR1BU9VOUwy3KsKzmQd_CymbQc6ne4d14WPG0q2aiYlX9YGpni5pftJvSb4FDyd9sODfIqY/s400/Methane_Talakan.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="text-align: start;">TROPOMI/S5P methane enhancement over Talakan oil field. Credits: Ialongo et al., (2021), CC BY 4.0</span><br style="text-align: start;" /></td><td class="tr-caption"><br /></td></tr></tbody></table><br /></div><div>To have more information please see this <a href="https://space.fmi.fi/2021/06/03/emissions-from-eastern-russian-oil-fields-detected-from-space/">article</a> in FMI-SPACE or in Finnish <a href="https://www.ilmatieteenlaitos.fi/uutinen/3iVmRyaKMI88OKhmAEYQwu">here</a>. Please also check the full paper below:</div><div><br /></div><div><div>Ialongo, I., Stepanova, N., Hakkarainen, J., Virta, H., Gritsenko, D.: Satellite-based estimates of nitrogen oxide and methane emissions from gas flaring and oil production activities in Sakha Republic, Russia, Atmospheric Environment: X, Volume 11, <a href="https://doi.org/10.1016/j.aeaoa.2021.100114">https://doi.org/10.1016/j.aeaoa.2021.100114</a>, 2021.</div><div><br /></div><div>Cheers,</div><div>Janne</div><div><br /></div><br /></div><div><br /></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-39476894759163521452021-06-23T13:13:00.005+03:002021-06-23T13:18:13.994+03:00Carbon dioxide emission plumes from a large power station detected from space<p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span style="font-size: medium;"><span lang="EN-US" style="letter-spacing: 0.1pt;">Researchers at the Finnish Meteorological Institute developed a new methodology to derive source-specific </span><span style="letter-spacing: 0.1pt;">NOₓ</span><span lang="EN-US" style="letter-spacing: 0.1pt;">-to-</span><span style="letter-spacing: 0.1pt;">CO₂</span><span style="letter-spacing: 0.1pt;"> <span lang="EN-US">emission ratios using satellite observations. The method was applied to Matimba power station in South Africa. The results can be used to estimate carbon dioxide emissions.</span></span></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><br /></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US">Since the Paris agreement was adopted in 2015, the role of satellite observations in understanding anthropogenic CO<sub>2</sub>emissions has become increasingly important. Currently, the NASA’s CO<sub>2</sub> instrument Orbiting Carbon Observatory-2 (OCO-2), launched in 2014, provides CO<sub>2</sub> observations with the best coverage and resolution. However, the observations are obtained on a narrow swath (less than 10 km), which does allow the detection of the cross-sections of the emission plumes, but not the plumes in their entirety. Satellite observations of co-emitted species, such as NO<sub>2</sub>, facilitate the detection of the CO<sub>2</sub> emission plumes. The European Commission is currently planning a new CO<sub>2</sub> monitoring mission CO2M via the Copernicus Programme, which will observe both CO<sub>2</sub> and NO<sub>2</sub> over a larger swath (over 250 km).</span></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDZkNaswjA24Cg2VAeq-l2I6CKm6gtf-n4i7Es8WJoaF4TnYl0-2TvU7lqmP8rKqHAWFYFxgFJ2Nxn9mNX8drgkNjsooJoVevkM5uHdFUJnJW-XtuSYR77iDOlmWaNQxzsZoQogT61o9M/s1062/BestEx.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1062" data-original-width="1036" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDZkNaswjA24Cg2VAeq-l2I6CKm6gtf-n4i7Es8WJoaF4TnYl0-2TvU7lqmP8rKqHAWFYFxgFJ2Nxn9mNX8drgkNjsooJoVevkM5uHdFUJnJW-XtuSYR77iDOlmWaNQxzsZoQogT61o9M/w390-h400/BestEx.png" width="390" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">OCO-2 and TROPOMI observations near Matimba power station (red triangle) in South Africa between May 2018 and November 2020. Image: Hakkarainen et al. 2021. CC BY 4.0.</td></tr></tbody></table><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US"><br /></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US">Estimating CO<sub>2</sub> emissions from individual sources using satellite data can be challenging due to the large background levels, while it is easier for short-lived gases like NO<sub>2</sub>. In a recently published study, a new methodology to calculate source-specific </span><span face="Calibri, sans-serif">NOₓ</span><span face="Calibri, sans-serif" lang="EN-US">-to-</span><span face="Calibri, sans-serif">CO₂</span><span face="Calibri, sans-serif" lang="EN-US"> emission ratio from satellite observations is developed. This ratio provides information on how clean the employed technology is and can be used to convert </span><span face="Calibri, sans-serif">NOₓ</span><span face="Calibri, sans-serif" lang="EN-US"> emission into CO<sub>2</sub> emission. The method was tested for the Matimba power station in South Africa, which is an optimal case study as it is a large emission source with several satellite overpasses, and it is also well isolated from other sources.</span><o:p></o:p></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US"><br /></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US" style="background-color: white; color: #212529;">The results </span><span face="Calibri, sans-serif" style="background-color: white; color: #212529;">are based on </span><span face="Calibri, sans-serif" lang="EN-US" style="background-color: white; color: #212529;">the CO<sub>2</sub> </span><span face="Calibri, sans-serif" style="background-color: white; color: #212529;">observations</span><span face="Calibri, sans-serif" lang="EN-US" style="background-color: white; color: #212529;"> from the</span><span face="Calibri, sans-serif" style="background-color: white; color: #212529;"> NASA’s OCO-2<span class="apple-converted-space"> </span></span><span class="apple-converted-space"><span face="Calibri, sans-serif" lang="EN-US" style="background-color: white; color: #212529;">satellite and the NO<sub>2</sub> retrievals from the European </span></span><span face="Calibri, sans-serif">TROPOMI (TROPOspheric Monitoring Instrument)</span><span face="Calibri, sans-serif" lang="EN-US">, operating onboard the Sentinel 5 Precursor satellite since late 2017. During the 2018–2020 period, </span><span face="Calibri, sans-serif">14</span><span class="apple-converted-space"><span face="Calibri, sans-serif" lang="EN-US"> collocations </span></span><span face="Calibri, sans-serif">over Matimba</span><span face="Calibri, sans-serif" lang="EN-US"> enabled the simultaneous detection of the CO<sub>2</sub>and NO<sub>2</sub> plumes. T</span><span face="Calibri, sans-serif">he mean NO</span><em><sub><span face="Calibri, sans-serif">x</span></sub></em><span face="Calibri, sans-serif">-to-CO</span><sub><span face="Calibri, sans-serif">2</span></sub><span class="apple-converted-space"><span face="Calibri, sans-serif"> </span></span><span face="Calibri, sans-serif">emission ratio </span><span face="Calibri, sans-serif" lang="EN-US">was estimated as</span><span class="apple-converted-space"><span face="Calibri, sans-serif"> </span></span><span face="Calibri, sans-serif">(2.6 ± 0.6) × 10<sup>-3</sup> </span><span face="Calibri, sans-serif" lang="EN-US">and the CO<sub>2</sub> emission as</span><span face="Calibri, sans-serif"> 60 </span><span face="Calibri, sans-serif" lang="EN-US">kton/day. The obtained </span><span face="Calibri, sans-serif">CO₂</span><span face="Calibri, sans-serif" lang="EN-US"> emission estimates are similar to those reported in existing inventories such as ODIAC.</span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US"><br /></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" lang="EN-US">The research was carried on in the <a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/">DACES project</a></span><span face="Calibri, sans-serif" style="color: #212529;">, which focuses on detecting anthropogenic </span><span face="Calibri, sans-serif">CO₂<span class="apple-converted-space"><span style="color: #212529;"> </span></span><span style="color: #212529;">emissions sources by exploiting the synergy between satellite-based observations of short-lived polluting gases (such as </span></span><span face="Calibri, sans-serif" lang="EN-US">N</span><span face="Calibri, sans-serif">O₂<span style="color: #212529;">) and greenhouse gases.</span></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" style="color: #212529;"><br /></span></p><p class="MsoNormal" style="font-family: "Times New Roman", serif; margin: 0cm;"><span face="Calibri, sans-serif" style="color: #212529;">The full publication by Hakkarainen and co-authors can be found at the following link:</span><span face="Calibri, sans-serif" style="color: #212529;"></span><a href="https://doi.org/10.1016/j.aeaoa.2021.100110" style="color: #954f72;" target="_blank" title="Persistent link using digital object identifier"><span face="Calibri, sans-serif" style="color: #0c7dbb;">https://doi.org/10.1016/j.aeaoa.2021.100110</span></a></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-91689850923524577782021-05-24T21:03:00.002+03:002021-05-24T21:03:41.170+03:00Ihmisperäisiä hiilidioksidipäästöjä metsästämässä – apurina satelliititIlmatieteen laitoksella kehitettiin uusi menetelmä laskea yksittäisten päästölähteiden, kuten kaupunkien ja voimaloiden, NOₓ/CO₂-suhde avaruudesta käsin. Tuloksia voidaan hyödyntää myös hiilidioksidipäästöjen arvioinnissa. Uutta menetelmää sovellettiin Etelä-Afrikassa sijaitsevaan Matimba-hiilivoimalaan, joka on yksi maailman suurimmista.<div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtCFEt6wDfkUlnz6iY2_wDxm14uBy192e3WrpYra7CxY0VthyphenhyphenV-jHWxrOPh9WcWocTK3USHglnNuBJCLSdlBq_eZ9aT2hhr96YTWpJzlSrMmHIZp3HjS1B97flfivvczSUhxe1Lfu65eg/s1920/Matimbakragstasie%252C_Ellisras%252C_Limpopo.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1386" data-original-width="1920" height="289" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtCFEt6wDfkUlnz6iY2_wDxm14uBy192e3WrpYra7CxY0VthyphenhyphenV-jHWxrOPh9WcWocTK3USHglnNuBJCLSdlBq_eZ9aT2hhr96YTWpJzlSrMmHIZp3HjS1B97flfivvczSUhxe1Lfu65eg/w400-h289/Matimbakragstasie%252C_Ellisras%252C_Limpopo.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Matimba-hiilivoimala Etelä-Afrikassa. Wikimedia commons. CC BY-SA 3.0</td></tr></tbody></table><br /><div><div>Vuonna 2015 solmitun Pariisin sopimuksen myötä ihmistoiminnasta peräisin olevien kasvihuonekaasupäästöjen rooli tutkimuksessa on noussut yhä tärkeämmäksi, sillä päästöjä ja niiden vähennyksiä halutaan seurata. Esimerkiksi Euroopan komissio suunnittelee uutta satelliittipohjaista CO2M-missiota ihmisperäisten hiilidioksidipäästöjen seuraamiseen osana Copernicus-maanseurantaohjelmaansa.</div><div><br /></div><div>Ilmatieteen laitoksella on tutkittu ihmisperäisiä kasvihuonekaasuja avaruudesta käsin vuodesta 2016 alkaen. Tutkimuksessa on hyödynnetty erityisesti vuonna 2014 laukaistua NASAn OCO-2-satelliittia, joka on edelleen paras mittalaite tähän työhön. Ihmisperäisten hiilidioksidipäästöjen kartoittamisen kannalta sen kapea mittauskaista asettaa kuitenkin haasteita.</div><div><br /></div><div>Eräs keskeisistä ongelmista ilmakehätieteissä on laskea päästöt yksittäisistä päästölähteistä kuten kaupungeista ja voimaloista. Tämä on erityisen haastavaa hiilidioksidin (CO₂) kohdalla, kun taas typen oksidien NOₓ-päästöjä on monitoroitu satelliiteista lähes rutiininomaisesti jo 1990-luvulta alkaen. Ilmanlaadun kannalta NOₓ- ja CO₂-päästöjen välinen suhde kertoo käytetyn tekniikan puhtaudesta.</div><div><br /></div><div>Juuri julkaistussa tutkimuksessa kehitettiin uusi menetelmä, jolla voidaan laskea NOₓ/CO₂-suhde avaruudesta käsin. Näin laskettua suhdetta voidaan hyödyntää myös, jos halutaan kääntää NOₓ-päästöt hiilidioksidipäästöiksi. Tutkimuksessa tätä menetelmää sovellettiin Etelä-Afrikassa sijaitsevaan Matimba-hiilivoimalaan. Se on tutkimuksen kannalta erinomainen koelaboratorio, sillä se on voimakas pistemäinen päästölähde ja suhteellisen etäällä muista päästölähteistä.</div><div><br /></div><div>Tutkimuksessa hyödynnettiin vuonna 2017 laukaistun eurooppalaisen Sentinel 5 Precursor S5P-satelliitin tekemiä mittauksia, jotka mahdollistavat ensi kertaa yksittäisten typpidioksidipilvien (NO₂-pilvet) kartoittamisen satelliitista käsin. Tutkimuksessa yhdistettiin S5P-satelliitin havaitsemat NO₂-pilvet ja OCO-2-satelliitin CO₂-havainnot. Vuosilta 2018–2020 löydettiin yhteensä 14 satelliitin ylilentoa, jossa kapealla kaistalla mittaavan OCO-2-satelliitin havainnot kyettiin kytkemään S5P-satelliittiin mittaamiin NO₂-pilviin.</div></div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDZkNaswjA24Cg2VAeq-l2I6CKm6gtf-n4i7Es8WJoaF4TnYl0-2TvU7lqmP8rKqHAWFYFxgFJ2Nxn9mNX8drgkNjsooJoVevkM5uHdFUJnJW-XtuSYR77iDOlmWaNQxzsZoQogT61o9M/s1062/BestEx.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1062" data-original-width="1036" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDZkNaswjA24Cg2VAeq-l2I6CKm6gtf-n4i7Es8WJoaF4TnYl0-2TvU7lqmP8rKqHAWFYFxgFJ2Nxn9mNX8drgkNjsooJoVevkM5uHdFUJnJW-XtuSYR77iDOlmWaNQxzsZoQogT61o9M/w390-h400/BestEx.png" width="390" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Kuvassa S5P ja OCO-2-satelliittien havaintoja vuosilta 2018–2020 yhdistettynä. Matimba-hiilivoimala on merkitty kuvaan punaisella kolmiolla. Hiilivoimalasta peräisin olevat NOₓ-päästöt näkyvät kuvassa punaisesta kolmiosta lähtevänä pilvenä lähialueella. OCO-2-satelliittin tekemät mittaukset hiilidioksidista näkyvät kapeina viivoina kuvassa. Nämä havainnot yhdistämällä voidaan laskea NOₓ/CO₂-suhde. Kuva: <a href="https://doi.org/10.1016/j.aeaoa.2021.100110">Hakkarainen et al. 2021</a>. CC BY 4.0.</td></tr></tbody></table><br /><div><br /></div><div><div>Ilmakehää mallinnettiin FLEXPART-mallilla ja tuloksena saatiin Matimba-hiilivoimalan NOₓ/CO₂-suhteeksi (2.6 ± 0.6) × 10<sup>-3</sup> ja hiilidioksidipäästöiksi noin 60 kilotonnia päivässä, joka on suuruusluokaltaan noin puolet koko Suomen hiilidioksidipäästöistä. Tutkimuksessa lasketut arviot ovat yhteneviä aikaisempien päästöinventaarioiden (esim. ODIAC) tulosten kanssa.</div><div><br /></div><div>Tutkimusta on tehty erityisesti Euroopan Avaruusjärjestö ESAn rahoittamassa DACES-projektissa, josta voit lukea lisää projektin <a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/">verkkosivuilta</a>.</div><div><br /></div><div>Viite:</div><div>Janne Hakkarainen, Monika E. Szeląg, Iolanda Ialongo, Christian Retscher, Tomohiro Oda, and David Crisp: Analyzing nitrogen oxides to carbon dioxide emission ratios from space: A case study of Matimba Power Station in South Africa, Atmospheric Environment: Volume 10, 2021.</div><div><br /></div><div>Lue tieteellinen artikkeli täältä: <a href="https://doi.org/10.1016/j.aeaoa.2021.100110">https://doi.org/10.1016/j.aeaoa.2021.100110</a></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-47832347932787207022021-04-20T11:44:00.004+03:002021-04-20T11:44:35.545+03:00Analyzing nitrogen oxides to carbon dioxide emission ratios from space: A case study of Matimba Power Station in South AfricaHi guys,<div><br /></div><div>I just wanted to say that we have a new paper on Atmospheric Environment: X</div><div><br /></div><div>The paper <i>Analyzing nitrogen oxides to carbon dioxide emission ratios from space: A case study of Matimba Power Station in South Africa</i> was written by myself, Iolanda Ialongo, Monika Szeląg, Christian Retscher, Tomohiro Oda, and David Crisp.</div><div><br /></div><div>Highlights:</div><div><ul style="text-align: left;"><li>A new methodology to derive source-specific NO<sub>x</sub>-to-CO<sub>2</sub> emission ratios.</li><li>The method is applied for TROPOMI and OCO-2 satellite observations.</li><li>The mean emission ratio of (2.6±0.6)×10<sup>−3</sup> is obtained for Matimba Power Station.</li><li>The annual CO<sub>2</sub> emissions for Matimba are ∼60 kt/d.</li><li>The emission estimates are consistent with existing inventories such as ODIAC.</li></ul></div><div><br /></div><div>The Journal Pre-proof version is already available online: <a href="https://doi.org/10.1016/j.aeaoa.2021.100110">https://doi.org/10.1016/j.aeaoa.2021.100110</a>
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6vT_E7gNpPSlkv0eWmMwhyphenhyphen68gZmLV9aOANcseFrwiqSLhB77kbbbLgeBPD5Z9MNZF_nWKBFyEerjcgs6xOEvZFD-ZGaP5m7HQILc6KUsCL-czvuINe1iseo2mFU1JeUa5zJ-jXVoflJ4/s1062/BestEx.png" style="display: block; padding: 1em 0px; text-align: center;"><img alt="" border="0" data-original-height="1062" data-original-width="1036" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6vT_E7gNpPSlkv0eWmMwhyphenhyphen68gZmLV9aOANcseFrwiqSLhB77kbbbLgeBPD5Z9MNZF_nWKBFyEerjcgs6xOEvZFD-ZGaP5m7HQILc6KUsCL-czvuINe1iseo2mFU1JeUa5zJ-jXVoflJ4/s400/BestEx.png" /></a></div>
I will write more about this paper later.</div><div><br /></div><div>Stay tuned!</div><div><br /></div><div>Janne
</div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-74103482694330193702021-03-17T13:44:00.004+02:002021-03-17T13:44:58.591+02:00Pandigital πHah!<div><br /><div>Yesterday I was watching this Numberphile video</div><div><br /></div><div>
<iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="189" src="https://www.youtube.com/embed/xgBGibfLD-U" width="336"></iframe> </div><div><br /></div><div>and like Dr. James Grime, I did not like the pandigital formula for π. So I decided to play a little with pen and paper, and found the following<div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOPhwjRfJo4pkNIKxpa2ILXfeqc0gtIj5DBe6BcXLKGWY46YKzT7hBpOJ2o_D4KANXdmpg5ngPAoW0YStluqCUdBJEqHJH-oHh_An66UiKs_OxaHUVsqtK6MCQSQjpahRK7fcOvzndJYw/s1665/Na%25CC%2588ytto%25CC%2588kuva+2021-3-16+kello+23.47.57.png" style="display: block; padding: 1em 0px; text-align: center;"><img alt="" border="0" data-original-height="675" data-original-width="1665" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOPhwjRfJo4pkNIKxpa2ILXfeqc0gtIj5DBe6BcXLKGWY46YKzT7hBpOJ2o_D4KANXdmpg5ngPAoW0YStluqCUdBJEqHJH-oHh_An66UiKs_OxaHUVsqtK6MCQSQjpahRK7fcOvzndJYw/s400/Na%25CC%2588ytto%25CC%2588kuva+2021-3-16+kello+23.47.57.png" width="400" /></a></div>
I think it is quite neat. Of course, I knew beforehand that 355/113 approximates π quite well, up to 6 decimal places. Actually, it is called <a href="https://en.wikipedia.org/wiki/Milü" target="_blank">Milü</a>. </div><div><br /></div><div>Cheers,</div><div>Janne</div></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-34481230442290207842021-02-13T14:42:00.005+02:002021-02-15T21:00:51.985+02:00Faktoja ilmastonmuutoksesta: hiilinielu vai hiilivarasto?<p>Monilla tuntuu menevän käsitteet <i>hiilinielu</i> ja <i>hiilivarasto</i> lahjakkaasti sekaisin. Erityisen harmilliselta tämä tuntuu, jos kyseessä on ns. vakavasti otettava tutkija.</p>
<p><b>Fakta 1.</b> Toisin kun yleensä luullaan vanhat metsät kuten Amazonin sademetsä ei ole voimakas hiilinielu. Nuoret metsät (alle 140 vuotta) taas ovat. Yleistajuisesti voi PNAS-lehdessä julkaistusta tutkimuksesta voi lukea <a href="https://www.birmingham.ac.uk/news/latest/2019/02/World%27s-biggest-terrestrial-carbon-sinks-are-found-in-young-forests.aspx" target="_blank">täältä.</a></p>
<p>(Myös muut tutkimustulokset, kuten omani, ovat päätyneet samaan johtopäätökseen, mutta se ei nyt varsinaiset liity tähän.)</p>
<p>Tämä ei ole oikeastaan yllättävää. On selvää, että hyvin vanha metsä (yli 150 vuotta) ei enää toimi <i>hiilinieluna</i> vaan voi jopa toimia päästölähteenä. Toisaalta nuori parhaassa kasvuiässä oleva metsä toimii voimakkaana hiilinieluna eli se poistaa ilmakehästä hiiltä. Vanha metsä voi toki olla suurempi <i>hiilivarasto</i> kuin nuori metsä, mutta nieluna se ei enää toimi. Jos siis halutaan, että metsät toimivat hiilinieluina olisi oltava mahdollisimman paljon 20–80-vuotiasta metsää.</p>
<p><b>Fakta 2. </b>Hiilinielu ei ole hiilivarasto. <i>Nielu on prosessi, toiminta tai mekanismi, joka sitoo kasvihuonekaasun, aerosolin tai niiden esiasteen ilmakehästä. Lähde taas tarkoittaa prosessia, toimintaa tai mekanismia, joka vapauttaa kasvihuonekaasun, aerosolin tai niiden esiasteen ilmakehään.</i> Hiilivarasto taas kertoo yksinkertaisesti paljonko johonkin on <i>varastoitunut</i> hiiltä. Yksinkertaisesti voi ajatella, että puuliiterissä olevat klapit ovat hiilivarastossa, mutta muuttuvat päästöiksi saunan pesässä. Kun saunan vieressä oleva puu kasvaa (ja poistaa ilmakehästä hiiltä), niin se toimii nieluna.</p>
<p><b>Fakta 3. </b>Hiilivaraston muutos ei ole hiilinielu. Tehdään ajatuskoe. Käyt lähimetsässä ja poimit metsästä kilogramman edestä hiiltä. Nyt metsän hiilivarasto on pienentynyt kilogramman verran, mutta ilmakehä ei tiedä tästä mitään eli et ole aiheuttanut päästöjä. Vastaavasti jos viet hiilen takaisin metsään, niin metsä ei ole ymmärrettävästi toiminut ilmakehän hiilinieluna. Jos veistät löytämästä puusta lusikoita, se toimii hiilivarastona (ei nieluna!) ja jos taas poltat löytämäsi puun, aiheutat päästöjä.</p>
<p><b>Bonus.</b> Puut eivät tulevat maasta vaan ilmasta kertoo Richard Feynman.</p>
<iframe width="420" height="236" src="https://www.youtube.com/embed/ifk6iuLQk28" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-17494085374674278642020-12-18T11:33:00.000+02:002020-12-18T11:33:15.550+02:00Virtual Inverse Days 2020
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</style><p class="MsoNormal" style="font-size: medium;"><b><span lang="EN-US">Virtual Inverse Days 2020<o:p></o:p></span></b></p><p class="MsoNormal" style="font-size: medium;"><i><span lang="EN-US"> </span></i></p><p class="MsoNormal" style="font-size: medium;"><b><i><span lang="EN-US">University of Helsinki and Finnish Meteorological Institute co-organized 26<sup>th</sup> Inverse Days of the Finnish Inverse Problems Society. This year the conference was organized virtually, and the chair of the Scientific committee was Tatiana Bubba from the University of Helsinki. The conference had altogether 59 scientific talks and more than 180 registered participants.<o:p></o:p></span></i></b></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">Inverse Days is the annual scientific conference of the Finnish Inverse Problems Society (FIPS). The first Inverse Days were organized at the University of Oulu in 1995. This year the conference was organized virtually for the first time due to the global COVID-19 pandemic. The conference was divided in 10 scientific session. The sessions covered both theoretical and applied inverse problems. Application areas included 3D X-ray tomography, electrical impedance tomography, forestry, uncertainty quantification and atmospheric inverse problems among others. The themes followed the themes of the Finnish Centre of Excellence in Inverse Modelling and Imaging. The session number 2 was dedicated to the memory of the late Mikko Kaasalainen (born 1965, died 12 April 2020), who was a professor of mathematics at the Tampere University and an important member of the Finnish Inverse Problems Society. The conference had 25 highlight talks, 29 regular talks and five plenary talks. The plenary talks were given by Chris Johnson (U. Utah), Silvia Gazzola (U. Bath), Valery Serov (U. Oulu), Simon Pfreunschuh (Chalmers U. Tech.) and Barbara Kaltenbacher (U. Klagenfurt). Number of registered participants was all-time record: 185.<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">In addition to scientific program, the conference also had a special session to celebrate the 60<sup>th</sup> birthday of Prof. Erkki Somersalo, the founding president of FIPS. The birthday program included scientific talks related to Erkki Somersalo’s research and career along with more humoristic ones. Master of the ceremony was Prof. Samuli Siltanen, the current president of FIPS. For the first time, the Inverse days also had virtual lab excursions. The lab excursion included: <o:p></o:p></span></p><p class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><span lang="EN-US" style="font-family: Symbol; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US">X-ray Tomography Laboratory (UH), Alexander Meaney<o:p></o:p></span></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><span lang="EN-US" style="font-family: Symbol; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US">Spectrometers in Atmospheric Measurements (FMI), Tomi Karppinen<o:p></o:p></span></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><span lang="EN-US" style="font-family: Symbol; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US">Log X-ray Systems (Finnos Oy), Jere Heikkinen<o:p></o:p></span></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><span lang="EN-US" style="font-family: Symbol; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US">Biomed. Optical Imaging and Ultrasound Lab (UEF), Aki Pulkkinen<o:p></o:p></span></p><p class="MsoListParagraphCxSpLast" style="mso-list: l1 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><span lang="EN-US" style="font-family: Symbol; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US">Process Tomography Laboratory (UEF), Aku Seppänen<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">Virtual lab excursions will be also uploaded to the Inverse Problems YouTube channel: </span><a href="https://www.youtube.com/channel/UCqSbbWIqt9ZhWbAlJgEOGZg"><span lang="EN-US">https://www.youtube.com/channel/UCqSbbWIqt9ZhWbAlJgEOGZg</span></a><span lang="EN-US"><o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">Please pay extra attention to the amazing short film by Aku Seppänen!<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">The Inverse Days week also included a special session “Women in FIPS”, and the annual meeting of the Finnish Inverse Problems Society.<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">The Finnish Inverse Prize, annual award of the Finnish Inverse Problems Society, was awarded to Jesse Railo who defended his PhD thesis “Geodesic Tomography Problems on Riemannian Manifold” with distinction at the University of Jyväskylä in 2019. In addition to University of Jyväskylä, Jesse has also worked at U. Tampere, U. Helsinki and the Finnish Meteorological Institute, and is now a Postdoctoral scientist at the ETH Zürich. Congratulations Jesse!<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">The scientific committee of the conference was<o:p></o:p></span></p><p class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Tatiana Bubba (chair)<o:p></o:p></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Janne Hakkarainen<o:p></o:p></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Marko Laine<o:p></o:p></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Matti Lassas<o:p></o:p></p><p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Samuli Siltanen<o:p></o:p></p><p class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><!--[endif]-->Johanna Tamminen<o:p></o:p></p><p class="MsoNormal" style="font-size: medium;"><o:p> </o:p></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">Special thanks to Antti Mikkonen for his work on putting together the Virtual Lab tours, Rashmi Murthy for taking care excellently of the technical arrangements for the conference and Lauri Ylinen for his work on the website. A job well done!<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">“I </span><span lang="EN-US" style="font-family: Cambria, serif;">love</span><span lang="EN-US"> math” logo: Joe Volzer<o:p></o:p></span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US"> </span></p><p class="MsoNormal" style="font-size: medium;"><span lang="EN-US">Conference website: </span><a href="https://www.fips.fi/id2020.php"><span lang="EN-US">https://www.fips.fi/id2020.php</span></a><span lang="EN-US"><o:p></o:p></span></p>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-4634551775781346772020-10-21T23:52:00.000+03:002020-10-21T23:52:20.200+03:00Sum of three cubes re-revisited<h2>Abstract</h2>
Computer assisted searches of solutions of the Diophantine equation $x^3 +y^3 +z^3 = k$ have been made since 1954. Thanks to some intelligent people, modern super computing facilities and a YouTube channel, we finally now 66 years later have solutions for all $k < 100$. Here we report an interesting solution when $k=2^3$.
<br /><br />
<b>Keywords:</b> Sum of three cubes, Diophantine equation, taxicab number.
<h2>Introduction</h2>
In 2015, on a Numberphile video “<a href=""><a href="https://www.youtube.com/watch?v=wymmCdLdPvM">The uncracked problem with 33</a></a>” Prof. Tim Browning discussed the Diophantine equation
\begin{equation*}
x^3+y^3+z^3=k
\end{equation*}
that has interested mathematicians a quite some time now. As explained in the video, it is know that this equation has no integer solutions for $k \equiv 4$ or $5\,(\mathrm{mod}\,9)$, i.e., $4,5,13,14, 22, 23, \ldots$ For other values of $k$, it has been conjectured that there are infinitely many solutions [1]. In 1953, for $k=3$, Prof. Louis J. Mordell now famously wrote [2]: “I do not know anything about the integer solutions of $x^3+y^3+z^3=3$ beyond the existence of the four sets $(1, 1, 1)$, $(4, 4, -5)$, etc.; and it must be very difficult indeed to find out anything about any other solutions.” This led to the first computer assisted search for $k < 100$ in 1954 [3].
<br /><br />
Since those days, for values $k <1\,000$, several searches have been made and more effective algorithms proposed. For example, in 2007, Andreas-Stephan Elsenhans and Jörg Jahnel searched systematically for solutions where the positive integer $k < 100$ is neither a cube nor twice a cube and $|x|,|y|,|z| k < 10^{14}$ [4]. These values “New sums of three cubes” are tabulated <a href="https://www.uni-math.gwdg.de/jahnel/Arbeiten/Liste/threecubes_20070419.txt" target="_blank">here</a>. At this point, they reported 14 unsolved values below $1\,000$: 33, 42, 74,114, 165, 390, 579, 627, 633, 732, 795, 906, 921, and 975.
<br /><br />
In 2016, motivated by the original Numberphile video, Sander Huisman extended the search of Elsenhans and Jahnel up to $10^{15}$ [5]. In his report “Newer sums of three cubes,” he found 966 new solutions. The most exciting one was the discovery of the first solution for $k = 74$:
\begin{equation*}
74 = (-284650292555885)^3 + 66229832190556^3 + 283450105697727^3.
\end{equation*}
This result was discussed by Browning on a follow-up Numberphile video “<a href="https://www.youtube.com/watch?v=_-M_3oV75Lw">74 is cracked.</a>”
<br /><br />
It was this follow-up video that got mathematician Andrew Booker hooked. In 2019, he proposed a new algorithm [6] and searched solutions for unsolved values below $1\,000$. He found the first known solution for $k = 33$:
\begin{equation*}
33 = 8866128975287528^3 +(-8778405442862239)^3 +(-2736111468807040)^3.
\end{equation*}
This results was, of course, reported on a Numberphile video “<a href="https://www.youtube.com/watch?v=ASoz_NuIvP0">42 is the new 33</a>” indicating that after the discoveries by Huisman and Booker, the only unsolved value below 100 was $k=42$. In his paper, Booker also searched for solutions for $k = 3$, addressing a question of Prof. Mordell, but found none. He also reported the first known solution for $k = 795$:
\begin{equation*}
795 = (14219049725358227)^3+(14197965759741571)^3+(2337348783323923)^3.
\end{equation*}
At this point, also I got interested.
<h2>Methodology</h2>
Albeit having a PhD degree in applied mathematics, I don't have any formal education on number theory, let alone, have no experience of computer searches of this type. It was quite obvious, that an exhaustive search for the range $10^{16}$ was out of my reach. The only way I thought I could participate was to randomly sample large values of $x$, $y$ and $z$ and then test if the sum of their cubes gives a small solution, say less than $1\,000$. With a little bit of online research, I wrote the Python code used in this study.
<pre><code>
import random
for x in range(10**13):
a = random.randint(10**14,10**18)
b = random.randint(10**14,10**18)
c = random.randint(10**14,10**18)
if a > b:
if a > c:
val = a**3 -b**3-c**3
else:
val = c**3 -b**3-a**3
elif b > c:
val = b**3 -a**3-c**3
else:
val = c**3-a**3-b**3
if abs(val) < 1000:
print(a)
print(b)
print(c)
print(val)
Outa = open("a.txt","w")
Outb = open("b.txt","w")
Outc = open("c.txt","w")
Outval = open("val.txt","w")
Outa.write(str(a))
Outa.close()
Outb.write(str(b))
Outb.close()
Outc.write(str(c))
Outc.close()
Outval.write(str(val))
Outval.close()
break
elif (x % 10**6) == 0:
print(x)
</code></pre>
I knew that I would need to sample many many times in order to find a new solution. As noted by Huisman [5], the number of solutions for each decade up to search bounds $B$ in the range from $10^2$ to $10^{14}$ have been roughly $1\,000$ solutions per decade, which is in accordance with [1]. This gave me some initial hope, but I soon realized, after discovering a little error in my calculations, that the probability of finding a new solution was virtually non-existent. I still decided to give it a go.
<h2>Results</h2>
On 10 July 2019 I set a computer search for finding a new solution. At the meantime, Andrew Booker had teamed up with Andrew Sutherland and with computer resources from Charity Engine they were searching for new solutions, too. On September 2019, while I was waiting my first solution to appear, they announced a solution for $k=42$:
\begin{equation*}
(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3=42,
\end{equation*}
and again, a new Numberphile video “<a href="https://www.youtube.com/watch?v=zyG8Vlw5aAw">The Mystery of 42 is Solved</a>” was made. This marked the end of the journey that was started in 1954, as we now had solutions for all $k < 100$. This left the original question of Mordell still unanswered, but three weeks later, they also found:
\begin{equation*}
569936821221962380720^3 + (-569936821113563493509)^3 + (-472715493453327032)^3 = 3,
\end{equation*}
and yet again a new Numberphile video was made “<a href="https://www.youtube.com/watch?v=GXhzZAem7k0">3 as the sum of the 3 cubes.</a>” Booker and Sutherland report these results and two other new solutions on a preprint [7].
<br /><br />
I left my computer search to go on for some months, but at some point the computer was rebooted or I stopped the script for running, I don't quite remember anymore which one was it. Anyways, no new solutions were found.
<br /><br />
On 15 October 2020, during a Finnish Autumn school break, I decided to revisit this question. It was pretty obvious again, that the original code was not going to give me a solution, so I decided to check what kind of solution I would get if I would limit the search to $10^4$ and would also be satisfied with a solution of the same size. After running the script, it printed the numbers $7\,576, 4\,112, 7\,960$ and $4\,096$ which I arranged to a solution
\begin{equation*}
-7576^3-4112^3+7960^3 = 4096.
\end{equation*}
I immediately recognized $4\,096$ as a power of 2, i.e, $2^{12}$, so I decided to check the prime factors of the other numbers, too. I found that $7\,576 = 2^3 \times 947$, $4\,112 = 2^4 \times 257$ and $7\,960 = 2^3 \times 5 \times 199$, so the original solution given by the algorithm could be re-arranged to
\begin{equation*}
-947^3-514^3+995^3 = 2^3.
\end{equation*}
I found this solution quite fascinating, as also $k=2^3$ is a cube and the other numbers are relatively large. I decided to right away communicate this mesmerizing solution to the mathematical community via Twitter. At the time of writing this text, a day later, this tweet has already gotten zero likes and retweets combined.
<br /><br />
The question that rises with $k$ being a cube is: Are there any others? At first glance, it would seem that requiring $k$ being a cube would make things more complicated, but this is not the case. For example, if we think about it a little bit (and even if we don't), the equations
\begin{equation*}
a^3+0^3+0^3 = a^3
\end{equation*}
and
\begin{equation*}
a^3+a^3+0^3 = 2 a^3
\end{equation*}
always give solutions. This is quite likely the reason why cubes and twice the cubes were not included in the original dataset of Elsenhans and Jahnel: <a href="https://www.uni-math.gwdg.de/jahnel/Arbeiten/Liste/threecubes_20070419.txt" target="_blank">here</a>.
<br /><br />
Moreover, if we read the article “<a href="https://mathworld.wolfram.com/DiophantineEquation3rdPowers.html" target="_blank">Diophantine Equation--3rd Powers</a>” on Wolfram MathWorld, we find that the general rational solution to $x^3+y^3+z^3=k^3$ exists. For example, famously, Plato's number $216 = 6^3$ is the sum of the cubes for the Pythagorean triple $(3, 4, 5)$
\begin{equation*}
3^3 + 4^3 + 5^3 = 6^3
\end{equation*}
and is also the case $a=1, b=0$ of Ramanujan's formula:
\begin{equation*}
(3a^2+5ab-5b^2)^3 + (4a^2-4ab+6b^2)^3 + (5a^2-5ab-3b^2)^3 = (6a^2-4ab+4b^2)^3.
\end{equation*}
In fact, when $k$ is a cube the question is related to the famous story of Ramanujan and G. H. Hardy, and how the taxicab number $1\,729$ is the smallest integer that can be expressed as a sum of two <i>positive</i> integer cubes in two distinct ways:
\begin{equation*}
1729 = 1^3 + 12^3 = 9^3 + 10^3.
\end{equation*}
If we allow also negative numbers, we can re-arrange the earlier example with Plato's number and have even smaller sum:
\begin{equation*}
91 = 6^3 - 5^3 = 4^3 + 3^3.
\end{equation*}
The smallest sum that our re-arranged solution would give is the following:
\begin{equation*}
135\,796\,752 = 995^3-947^3 = 514^3 + 2^3.
\end{equation*}
On the other hand, Euler conjectured that there were no <i>positive</i> integral solutions to
\begin{equation*}
a^4 + b^4 + c^4 = d^4.
\end{equation*}
In 1988, the smallest possible counterexample was found [8]:
\begin{equation*}
95800^4 + 217519^4 + 414560^4 = 422481^4.
\end{equation*}
<h2>Acknowledgements</h2>
Most of my knowledge on this topic comes from the series of Numberphile videos “Sums of three cubes.” Do yourself a favor and go find the originals.
<h2>References</h2>
[1] D. R. Heath-Brown, The density of zeros of forms for which weak approximation fails, Math. Comp. 59 (1992), no. 200, 613–623.<br>
[2] L. J. Mordell, On the integer solutions of the equation x2 + y2 + z2 + 2xyz = n, J. London Math. Soc. 28 (1953), 500–510.<br>
[3] J. C. P. Miller and M. F. C. Woollett, Solutions of the Diophantine equation x3 +y3 +z3 = k, J. London Math. Soc. 30 (1955), 101–110.<br>
[4] Andreas-Stephan Elsenhans and J ̈org Jahnel, New sums of three cubes, Math. Comp. 78 (2009), no. 266, 1227–1230.<br>
[5] Sander G. Huisman, Newer sums of three cubes, arXiv:1604.07746, 2016.<br>
[6] A. R. Booker, Cracking the problem with 33, Res. Number Theory 5 (2019), no. 3, 5:26.<br>
[7] Andrew R. Booker and Andrew V. Sutherland, On a question of Mordell, arXiv:2007.01209, 2020.<br>
[8] N. D. Elkies, On A4 + B4 + C4 = D4, Math. of Comp. 51 (1988), 825–835.<br>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-56640817994464506252019-10-30T16:01:00.001+02:002019-10-30T16:01:27.863+02:00Anthropogenic CO2 emission sources detected from space<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
Some news from <a href="https://eo4society.esa.int/2019/10/24/anthropogenic-co2-emission-sources-detected-from-space/" style="box-shadow: currentcolor 0px 1px 0px 0px; box-sizing: inherit; color: #007acc; text-decoration: none;">https://eo4society.esa.int/2019/10/24/anthropogenic-co2-emission-sources-detected-from-space/</a></div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
Carbon dioxide (CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>) is the most important anthropogenic greenhouse gas and its increase in the atmosphere is responsible for the global warming. CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> is emitted into the atmosphere by the burning of fossil fuels. Satellite-based observations provide information on the concentration of carbon dioxide (i.e., column-averaged CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> dry air mole fraction, XCO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>) around the globe.</div>
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Because of its long lifetime, carbon dioxide increases in the atmosphere and gets transported by the winds very far from the emission sources.</div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
A recent study introduced the concept of XCO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> anomaly (i.e. the difference from the daily background over a certain area), which provides maps of the distribution of the CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> emission areas worldwide.</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAH6U19OWiY4qjWxvcizcvIfDB_-kMiu6CNKPJaTjl_TcZDCBSja7grnNvAAg_Z_1gr7sKmSIPICDV8fD82pAbiPoIVbhtM0YUWYKJWQ4bgSjIA0eUslWGX930LLCUQutGT5EIDng9QQ4/s1600/bigOne201420152016201720182019_025x025.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="627" data-original-width="1600" height="156" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAH6U19OWiY4qjWxvcizcvIfDB_-kMiu6CNKPJaTjl_TcZDCBSja7grnNvAAg_Z_1gr7sKmSIPICDV8fD82pAbiPoIVbhtM0YUWYKJWQ4bgSjIA0eUslWGX930LLCUQutGT5EIDng9QQ4/s400/bigOne201420152016201720182019_025x025.png" width="400" /></a></div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
<br /></div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
Janne Hakkarainen, from the Finnish Meteorological Institute (FMI), comments: “<span style="box-sizing: inherit; font-style: italic;">The map shows positive XCO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>anomaly over the major industrial areas: China, eastern USA, central Europe, India, and the Highveld region in South Africa. Also, we find positive anomalies over biomass burning areas (for example in Africa and Indochina) during different fire seasons. On the other hand, the largest negative anomalies correspond to the growing season in the middle latitudes</span>”. The anomaly maps are based on the observations collected by the NASA’s OCO-2 (Orbiting Carbon Observatory-2) mission, which began operating in September 2014.</div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
Comparing the XCO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> anomaly maps to short-lived polluting gases, such as nitrogen dioxide (NO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>) observations derived from the Copernicus Sentinel-5P’s TROPOMI (TROPOspheric Monitoring Instrument), provides further insights on the spatial patterns of the carbon dioxide emission sources.</div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
“<span style="box-sizing: inherit; font-style: italic;">Using NO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> concentrations as indicator of anthropogenic fossil fuel combustion, helps in identifying anthropogenic XCO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> enhancement as visible, for example, over the Highveld region in South Africa</span>,” continues Hakkarainen.</div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFVFZyWou6VAY9C81bC0oNCAjwLqy2sotFXXu4X0z0XBPWE5dIH3DUNPsl45h3GQU75R_P8bPSclxG1MWg-jc4o0zuC5Fx7_9MaDVtsF25Hez4eqRYbICmnkC_HUzoFD1nu7LY0nZxKpI/s1600/CO2_NO2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1536" data-original-width="1536" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFVFZyWou6VAY9C81bC0oNCAjwLqy2sotFXXu4X0z0XBPWE5dIH3DUNPsl45h3GQU75R_P8bPSclxG1MWg-jc4o0zuC5Fx7_9MaDVtsF25Hez4eqRYbICmnkC_HUzoFD1nu7LY0nZxKpI/s400/CO2_NO2.png" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="box-sizing: inherit; caret-color: rgb(104, 104, 104); color: #686868; font-family: Merriweather, Georgia, serif; font-size: 13px; font-style: italic; text-align: left;">Combining NO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 9.75px; line-height: 0; position: relative; vertical-align: baseline;">2</span> and CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 9.75px; line-height: 0; position: relative; vertical-align: baseline;">2</span> observations enables the detection of CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 9.75px; line-height: 0; position: relative; vertical-align: baseline;">2</span> emission sources in South Africa. See for example the plumes from Matimba Power Station.</span></td></tr>
</tbody></table>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
“<span style="box-sizing: inherit; font-style: italic;">Satellite observations available with such detail open new opportunities for societal applications, including urban and industrial emission monitoring. For example, satellite observations have been already used in the cleantech sector in order to evaluate the efficacy of their technology in reducing polluting emissions from metal smelting</span>”, comments Iolanda Ialongo, from the Finnish Meteorological Institute. “<span style="box-sizing: inherit; font-style: italic;">Future greenhouse gas missions should be designed with a wider coverage than what is currently available, in order to improve the capabilities of monitoring man-made CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> emissions</span>”.</div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
The results are achieved within the <a href="https://eo4society.esa.int/projects/daces-detection-of-anthropogenic-co2-emissions-sources/" rel="noreferrer noopener" style="box-shadow: currentcolor 0px 1px 0px 0px; box-sizing: inherit; color: #007acc; text-decoration: none;" target="_blank">DACES</a> project, which focuses on detecting anthropogenic CO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span> emissions sources by exploiting the synergy between satellite-based observations of short-lived polluting gases (such as NO<span style="bottom: -0.25em; box-sizing: inherit; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>) and greenhouse gases.</div>
<div style="box-sizing: inherit; caret-color: rgb(26, 26, 26); color: #1a1a1a; font-family: Merriweather, Georgia, serif; font-size: 16px; margin-bottom: 1.75em;">
The full publication by Hakkarainen and co-authors can be found at the following link: <a href="https://www.mdpi.com/2072-4292/11/7/850" style="box-shadow: currentcolor 0px 1px 0px 0px; box-sizing: inherit; color: #007acc; text-decoration: none;">https://www.mdpi.com/2072-4292/11/7/850</a></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-68077460311924319252019-05-31T23:18:00.000+03:002019-05-31T23:18:05.800+03:00Finnish Inverse Problems Summer School 2019Hi guys,<br />
<br />
remember that the FIPS <a href="https://www.fips.fi/summerschool2019.php" target="_blank">Summer School on Very Finnish Inverse Problems</a> will start on next Monday. I found this picture when preparing for my mini course on Kalman filtering:<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJXPeEe9OmPzIisnyztJmNdF4cazn2m7srtI3IZ2FzkvJwbVAgyvRrTjjiHBn2xJlV49lkEEqKUHsBouKkV8N2mIG9VBLNp0y5AFDnlg-akKggIZqCuiAifE0WGdN6siy3E2bZlmiAKu4/s1600/IMG_0851.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJXPeEe9OmPzIisnyztJmNdF4cazn2m7srtI3IZ2FzkvJwbVAgyvRrTjjiHBn2xJlV49lkEEqKUHsBouKkV8N2mIG9VBLNp0y5AFDnlg-akKggIZqCuiAifE0WGdN6siy3E2bZlmiAKu4/s400/IMG_0851.JPG" width="400" /></a></div>
<br />
Now it looks so fun!<br />
<br />
See you next week!<br />
<br />
JanneUnknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-45381451769862923632019-03-05T22:39:00.001+02:002019-03-08T12:25:30.872+02:00My book: Tarinoita matematiikastaHi guys,<br />
<br />
I just wanted to advertise my new book “Tarinoita matematiikasta: Alkuluvuista Elämän peliin” (in English “Stories about mathematics: From prime numbers to Game of life”). It's a combination between science popularization and recreational mathematics.<br />
<br />
Here's the link, if you can't see the widget below:<a href="https://www.bod.fi/kirjakauppa/tarinoita-matematiikasta-janne-hakkarainen-9789528007456" target="_blank"> https://www.bod.fi/kirjakauppa/tarinoita-matematiikasta-janne-hakkarainen-9789528007456</a><br />
<br />
Check it out!<br />
<br />
Janne
<br />
<br />
<iframe frameborder="0" scrolling="no" style="border:0px" src="https://books.google.fi/books?id=lqmLDwAAQBAJ&lpg=PA4&hl=fi&pg=PP1&output=embed" width=420 height=600></iframe>
<br />
<br />
<div class="bodShopWidget" id="bodShopWidget_02691956_print">
</div>
<script type="text/javascript">if(typeof checkLibExist == "undefined"){var script = document.createElement("script");script.src ="//www.bod.de/public/js/bod/shopWidget.min.js?123";script.type = "text/javascript";document.head.appendChild(script);var checkLibExist = true;} if(typeof books === "undefined") var books=[];books.push({"objID":"02691956","swKey":"0da995c20c697fa05d4f06b07ad159db","type":"print","size":"large","font":"nonSerif","shadow":true,"contour":true,"coverContour":true,"fontColor":"#000000","contourColor":"#000000","shadowBtn":true,"contourBtn":false,"bgColor":"#ffffff","btnFontColor":"#ffffff","btnColor":"#e84e0f","btnContourColor":"#e84e0f","shop":"","bookSampleLinkText":"Lukunäyte","descriptionTitle":"Kuvaus","mandantShopUrl":"https://www.bod.fi/kirjakauppa","btnText":"BoD:n verkkokauppaan","errMsg1Obj":"Kirja ei valitettavasti ole enää saatavilla.","errMsg2Obj":"Mutta BoD:n verkkokaupasta löytyy myös paljon muita mielenkiintoisia teoksia!","errMsg1Server":"Kirja ei ole tällä hetkellä saatavilla.","errMsg2Server":"Ole hyvä ja yritä myöhemmin uudelleen.","errMsg3Server":"KIRJA EI OLE SAATAVILLA"});</script><br />
<div>
<br /></div>
<div>
<br /></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-64427216400902841272019-02-24T22:26:00.001+02:002019-02-24T22:26:48.787+02:00Helsinki Inverse Problems Summer School 2019Hi Guys,<br />
<br />
this is just a short advertisement that <b>“The Finnish Centre of Excellence in Inverse Modelling and Imaging and Finnish Inverse Problems Society (FIPS) are proud to organize a Summer School on inverse problems on June 3-7, 2019.</b><b>”</b><br />
<br />
<a href="https://www.fips.fi/summerschool2019">https://www.fips.fi/summerschool2019</a><br />
<br />
(Summer School on Very Finnish Inverse Problems)<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoudOHytZSX9lZvzWO8M3BsxXhWAtENSClpjHf0SwTnPwILE_7VwNrYTFeFY825Nnl5ODbVa65AJOsnbo01G9ljob4MrYRHHnQYb96UleJqLaanJ5XOkP_aCMDo0J8grOq2AzCJvKo8-w/s1600/Hakemuskuva.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1076" data-original-width="1600" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoudOHytZSX9lZvzWO8M3BsxXhWAtENSClpjHf0SwTnPwILE_7VwNrYTFeFY825Nnl5ODbVa65AJOsnbo01G9ljob4MrYRHHnQYb96UleJqLaanJ5XOkP_aCMDo0J8grOq2AzCJvKo8-w/s400/Hakemuskuva.jpg" width="400" /></a></div>
<br />
<br />
I will give a minicourse on Kalman filtering.<br />
<br />
See you there!<br />
<br />
JanneUnknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-43688501377196949102018-10-21T13:10:00.002+03:002018-10-21T13:27:38.917+03:00Conway's Game of LifeHi guys,<br />
<br />
today I wanted to try and code <a href="https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life">the Game of Life</a>. So here it is:
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYBrLSqwZrUaRkQwV272ahpAcmzOYLkbFg8hhTJrc7iIqNl6MdrB7TFn4q0kLokUpJ7JSJxopQvsDAV13PHfh3_z9Xbp0gVHlWb9ruSm4rdql38GhcKHkjSQFd2FJAz5KQCyuYBa6wYlE/s1600/gol_o.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1202" data-original-width="1212" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYBrLSqwZrUaRkQwV272ahpAcmzOYLkbFg8hhTJrc7iIqNl6MdrB7TFn4q0kLokUpJ7JSJxopQvsDAV13PHfh3_z9Xbp0gVHlWb9ruSm4rdql38GhcKHkjSQFd2FJAz5KQCyuYBa6wYlE/s400/gol_o.gif" width="400" /></a></div>
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
Enjoy!<br />
<br />
JanneUnknownnoreply@blogger.com2tag:blogger.com,1999:blog-7094499722565697830.post-2628641622021668732018-10-05T23:20:00.003+03:002018-10-05T23:24:40.810+03:00ILMApilot: Increasing the societal impact of satellite-based atmospheric observations for air quality monitoringHi guys,<br />
<br />
I just wanted to share Iolanda's pitch from the Finlandia Hall:<br />
<br />
<br />
<iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="236" src="https://www.youtube.com/embed/7MS3zr04jOo" width="419"></iframe>
See also her new paper on supporting Finnish cleantech sector with satellite data:<br />
<br />
Ialongo, I., Fioletov, V., McLinden, C., Jåfs, M., Krotkov, N., Li, C., and Tamminen, J.:<br />
Application of satellite-based sulfur dioxide observations to support the cleantech sector: Detecting emission reduction from copper smelters, <i>Environmental Technology & Innovation</i>, 12, 172-179,<br />
ISSN 2352-1864, <a href="https://doi.org/10.1016/j.eti.2018.08.006">https://doi.org/10.1016/j.eti.2018.08.006</a>, 2018.<br />
<div>
<br /></div>
<div>
ILMApilot blog: <a href="http://blog.fmi.fi/ILMApilot/">http://blog.fmi.fi/ILMApilot/</a></div>
<div>
<br /></div>
<div>
Cheers,</div>
<div>
Janne</div>
<br />Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-7094499722565697830.post-69015060928338590132018-08-01T14:18:00.001+03:002018-08-01T15:16:18.835+03:00Infinite Magic SquaresMagic squares have interested (recreational) mathematicians for hundreds, if not thousands, of years. A magic square is a $n\times n$ grid filled with integers such that the sum of integers in each row, column and diagonal is equal to a magic constant $M$.<br />
<br />
There are various ways to construct magic squares. For odd integers, probably the most famous one is the Siamese method where one also requires that the grid is filled with distinctive positive integers in the range $1, \ldots, n^2$. Below is an example when $n=5$ (Du Royaume de Siam, 1693):
\begin{equation*}
\begin{array}{|c|c|c|c|c|}
\hline
17 & 24 & 1 & 8 & 15 \\
\hline
23 & 5 & 7 & 14 & 16 \\
\hline
4 & 6 & 13 & 20 & 22 \\
\hline
10 & 12 & 19 & 21 & 3 \\
\hline
11 & 18 & 25 & 2 & 9 \\
\hline
\end{array}
\end{equation*}
But what would happen if the grid would be infinite?
The simplest “solution” to this problem would be setting all cells to zero
\begin{equation*}
\begin{array}{c|c|c|c|c}
\ddots & \vdots & \vdots & \vdots & \kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.}\\
\hline
\cdots & 0 & 0 & 0 & \cdots \\
\hline
\cdots & 0 & 0 & 0 & \cdots \\
\hline
\cdots & 0 & 0 & 0 & \cdots \\
\hline
\kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} & \vdots & \vdots & \vdots & \ddots \\
\end{array}
\end{equation*}
but this is not what we are really after here. We can obtain a slightly more interesting solution by subtracting the middle value from a Siamese magic square and adding zeros elsewhere:
\begin{equation*}
\begin{array}{c|c|c|c|c|c|c|c|c}
\ddots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} \\
\hline
\cdots & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \cdots \\
\hline
\cdots & 0 & 4 & 11 & -12 & -5 & 2 & 0 & \cdots \\
\hline
\cdots & 0 & 10 & -8 & -6 & 1 & 3 & 0 & \cdots\\
\hline
\cdots & 0 & -9 & -7 & \mathbf{0} & 7 & 9 & 0 & \cdots\\
\hline
\cdots & 0 & -3 & -1 & 6 & 8 & -10 & 0 & \cdots \\
\hline
\cdots & 0 & -2 & 5 & 12 & -11 & -4 & 0 & \cdots\\
\hline
\cdots & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \cdots \\
\hline
\kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \ddots
\end{array}
\end{equation*}
This procedure gives us an infinite magic square where the sum in each row, column and diagonal is equal to zero. This still does not feel quite right as the infinite square has nonzero elements only in the middle.
But what about the infinite square below?
\begin{equation}\tag{$\infty$}\label{good}
\begin{array}{c|c|c|c|c|c|c|c|c}
\ddots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} \\
\hline
\cdots & \mathbf{-1} & +1 & -1 & +1 & -1 & +1 & \mathbf{-1} & \cdots \\
\hline
\cdots & +1 & \mathbf{-1} & +1 & -1 & +1 & \mathbf{-1} & +1 & \cdots \\
\hline
\cdots & -1 & +1 & \mathbf{-1} & +1 & \mathbf{-1} & +1 & -1 & \cdots \\
\hline
\cdots & +1 & -1 & +1 & \mathbf{-1} & +1 & -1 & +1 & \cdots \\
\hline
\cdots & -1 & +1 & \mathbf{-1} & +1 & \mathbf{-1} & +1 & -1 & \cdots \\
\hline
\cdots & +1 & \mathbf{-1} & +1 & -1 & +1 & \mathbf{-1} & +1 & \cdots \\
\hline
\cdots & \mathbf{-1} & +1 & -1 & +1 & -1 & +1 & \mathbf{-1} & \cdots \\
\hline
\kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \ddots
\end{array}
\end{equation}
It already looks quite magical with only +1 and -1 entries. But where would the series in each row, column and diagonal sum to?
One can note that up, down, left and right from each diagonal cell we have Grandi's series $\sum_{n=1}^{\infty} (-1)^{n-1} = 1-1+1-1+1-1+\ldots$ Grandi's series is Cesàro summable, with Cesàro sum $\frac{1}{2}$. One way to justify this value is to set
\begin{equation*}
S = 1-1+1-1+1-1+\ldots
\end{equation*}
and then note that $S = 1-S$, and hence $S= \frac{1}{2}$. Now one may calculate
\begin{align*}
\ldots+1-1+1-1+\ldots &= -1 + \sum_{n=0}^{\infty} (-1)^n + \sum_{n=0}^{\infty} (-1)^n \\
& = -1 + \frac{1}{2}+\frac{1}{2}=0.
\end{align*}
Thus, the series in every row and column are Cesàro summable, with Cesàro sum $0$. But what about the diagonals?
In both diagonals, after the center cell we have $-1-1-1-1-\ldots$ One can recognize this series as a specific case of the Riemann zeta function
\begin{equation*}
\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}
\end{equation*}
when $s=0$. We have that $\zeta(0)=-\frac{1}{2}$, thus one may write $-1-1-1-1-\ldots = -\zeta(0)=\frac{1}{2}$. In fact, this series is related to Grandi's series via the Dirichlet eta function
\begin{equation*}
\eta(s) = \sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{n^s} = (1-2^{1-s})\zeta(s).
\end{equation*}
Now when $s=0$, we have that
\begin{equation*}
1-1+1-1+\ldots = \eta(0)=-\zeta(0) = -1-1-1-1-\ldots
\end{equation*}
The diagonals are
\begin{align*}
\ldots-1-1-1-1-\ldots &= -1- \sum_{n=1}^{\infty}\frac{1}{n^0}-\sum_{n=1}^{\infty}\frac{1}{n^0} \\
&=-1-\zeta(0)-\zeta(0)=0.
\end{align*}
Now the infinite square (\ref{good}) is indeed an infinite magic square as the series in every row, column and diagonal are equal (in above sense) to the magic constant $M=0$.
We note that by multiplying the infinite magic square (\ref{good}) with an integer $a$, we obtain another infinite magic square with $M=0$. If we set $a=-1$, we obtain the “evil twin:”
\begin{equation*}
\begin{array}{c|c|c|c|c|c|c|c|c}
\ddots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} \\
\hline
\cdots & \mathbf{+1} & -1 & +1 & -1 & +1 & -1 & \mathbf{+1} & \cdots \\
\hline
\cdots & -1 & \mathbf{+1} & -1 & +1 & -1 & \mathbf{+1} & -1 & \cdots \\
\hline
\cdots & +1 & -1 & \mathbf{+1} & -1 & \mathbf{+1} & -1 & +1 & \cdots \\
\hline
\cdots & -1 & +1 & -1 & \mathbf{+1} & -1 & +1 & -1 & \cdots \\
\hline
\cdots & +1 & -1 & \mathbf{+1} & -1 & \mathbf{+1} & -1 & +1 & \cdots \\
\hline
\cdots & -1 & \mathbf{+1} & -1 & +1 & -1 & \mathbf{+1} & -1 & \cdots \\
\hline
\cdots & \mathbf{+1} & -1 & +1 & -1 & +1 & -1 & \mathbf{+1} & \cdots \\
\hline
\kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \ddots
\end{array}
\end{equation*}
If we square the values of the magic square (\ref{good}), we obtain an infinite square full of ones:
\begin{equation*}
\begin{array}{c|c|c|c|c}
\ddots & \vdots & \vdots & \vdots & \kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} \\
\hline
\cdots & 1 & 1 & 1 & \cdots \\
\hline
\cdots & 1 & 1 & 1 & \cdots \\
\hline
\cdots & 1 & 1 & 1 & \cdots \\
\hline
\kern3mu\raise1mu{.}\kern3mu\raise6mu{.}\kern3mu\raise12mu{.} & \vdots & \vdots & \vdots & \ddots \\
\end{array}
\end{equation*}
In every direction we have
\begin{align*}
\ldots+1+1+1+1+\ldots &= 1+ \sum_{n=1}^{\infty}\frac{1}{n^0}+\sum_{n=1}^{\infty}\frac{1}{n^0} \\
&=1+\zeta(0)+\zeta(0)=0.
\end{align*}
Thus, it is also an infinite magic square. This new square, however, seems little bit less magical than the original one (\ref{good}).Unknownnoreply@blogger.com2tag:blogger.com,1999:blog-7094499722565697830.post-64836176351787564372018-08-01T11:08:00.000+03:002018-08-01T11:08:19.353+03:00Global XCO2 anomalies as seen by Orbiting Carbon Observatory-2Dear readers,<br />
<br />
I would like to advertise our latest work "Global XCO<sub>2</sub> anomalies as seen by Orbiting Carbon Observatory-2." It was published yesterday as discussion paper in <i>Atmos. Chem. Phys. Discuss.</i> (ACPD). Here's a little preview:<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgldLjwYdqS1gv5COEs99RbTMMMXeBEoho1Oc53UvFfTMdHvb_G9MR7MR7PWdDt2N-Inixl9JuzUZ_V-68053ryjx5oL7HZvw-Ih-c4ycRyX0H9gA_AD743BXlOEkz18ek0ecPlJe4o_g4/s1600/Na%25CC%2588ytto%25CC%2588kuva+2018-7-30+kello+12.27.46.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1193" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgldLjwYdqS1gv5COEs99RbTMMMXeBEoho1Oc53UvFfTMdHvb_G9MR7MR7PWdDt2N-Inixl9JuzUZ_V-68053ryjx5oL7HZvw-Ih-c4ycRyX0H9gA_AD743BXlOEkz18ek0ecPlJe4o_g4/s400/Na%25CC%2588ytto%25CC%2588kuva+2018-7-30+kello+12.27.46.png" width="298" /></a></div>
<br />
<br />
Hakkarainen, J., Ialongo, I., Maksyutov, S., and Crisp, D.: Global XCO<sub>2</sub> anomalies as seen by Orbiting Carbon Observatory-2, Atmos. Chem. Phys. Discuss., <a href="https://doi.org/10.5194/acp-2018-649">https://doi.org/10.5194/acp-2018-649</a>, in review, 2018.<br />
<br />
JanneUnknownnoreply@blogger.com1tag:blogger.com,1999:blog-7094499722565697830.post-44302956542065693372018-04-30T10:04:00.001+03:002018-04-30T11:51:24.549+03:00Pitch like a pro!<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiILzuIsWLcgcjSANKReEvVKbEOik8P3_ixvVR3g_pVdYJ9qwGDPad-zTpMAHUYJztzfJkaqAAviS-vos3xl0_CaJXfKQaSFCRpPzDznQSneUDHB_pMpV7ERpye4avXkYeu6OOHIbmrG2E/s1600/slush-4010.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1067" data-original-width="1600" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiILzuIsWLcgcjSANKReEvVKbEOik8P3_ixvVR3g_pVdYJ9qwGDPad-zTpMAHUYJztzfJkaqAAviS-vos3xl0_CaJXfKQaSFCRpPzDznQSneUDHB_pMpV7ERpye4avXkYeu6OOHIbmrG2E/s400/slush-4010.jpg" width="400" /></a></div>
<br />
As you might remember I was in the Skolar Award finals at Slush 2017. This week we will have a little alumni meeting organized by the Kaskas Media. The 2016 Skolar award winner Virpi Virjamo listed her <a href="https://skolaraward.fi/pitch-your-reasearch-like-a-winner/" target="_blank">5 tips for pitching your research idea like a winner</a>.<br />
<br />
So here are my 5+2 tips for pitching like a pro!<br />
<br />
<b>1. Don’t forget your science!</b><br />
I think this was the best advice that I got. Scientists tend to oversimplify when they talk about their work to non-experts. But people are smart and they will understand. If you leave your science out, what is left in your pitch!? You are not a salesman!<br />
<br />
<b>2. Keep it simple!</b><br />
Now this second point seems to contradict what I just said in the first point. It is not. You should keep it simple, but do not oversimplify! Easy as that.<br />
<br />
<b>3. Practice, practice, practice!</b><br />
This may sound self evident, but it is important. You should learn your pitch by heart. Be a pro. I still remember my pitch! Practicing is a good advice also to your scientific presentations. (When I gave my pitch at Slush, I made a little mistake and skipped one slide. Since I knew the pitch, I could do it on autopilot and think how to back it up in the end. It was surreal feeling).<br />
<br />
<b>4. Take the advice!</b><br />
When people try to help you, you should listen. And make your pitch better. They will have good ideas. But remember, it is still your pitch and you have to deliver.<br />
<br />
<b>5. The structure! Problem, solution, vision.</b><br />
This is a technical advice, but still very important. I think the structure should be a) problem, b) solution, and c) vision. So first tell what is the problem that you are solving, not the latest thing in your own research. Then give Your solution to this problem. Finally, tell how your solution will change the world.<br />
<br />
<b>6. Be yourself?</b><br />
This is an advice that you are like to get for someone else but me. I say: Don’t be yourself, be a better version of yourself! In my daily life, I’m quite calm and low-energy guy. In a good way. In my pitch, I wanted to give 120% and be super energetic. It worked out for me.<br />
<br />
<b>7. Have fun!</b><br />
Don’t think about $$ or the victory. It will show and you’ll regret it later. Have fun! This is a unique opportunity. Make the most of it!
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7094499722565697830.post-29877274039031829282018-01-05T14:48:00.001+02:002018-01-05T14:48:14.936+02:002018: Centre of Excellence of Inverse Modelling and Imaging
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Happy
New Year 2018!</div>
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<span lang="EN-US"><br /></span></div>
<div class="MsoNormal">
<span lang="EN-US">They are plenty of new things in my academic life. I am
officially back at Finnish Meteorological Institute, now with the title “Senior
Research Scientist.” Because of the large organization change at FMI, the name
of my group is now entitled “</span><span lang="EN-GB">Greenhouse Gases and Satellite Methods” in Earth
Observation Research Unit.</span></div>
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<span lang="EN-GB"><br /></span></div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHAsjX-rsaWLqLHXR7jWpgEDVPRgexk2O1jPj9RoRxJRngM3lExyyG-RfbDOOprGsnHKrLyktrcEFRJtv8xZSz25JeONh4j0loUPRhiWO6dfbMolBlzKsRd1UBP2meosG9fzWM7uxqVSU/s1600/18880318_1101719013291684_2096762216444328656_o.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1076" data-original-width="1600" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHAsjX-rsaWLqLHXR7jWpgEDVPRgexk2O1jPj9RoRxJRngM3lExyyG-RfbDOOprGsnHKrLyktrcEFRJtv8xZSz25JeONh4j0loUPRhiWO6dfbMolBlzKsRd1UBP2meosG9fzWM7uxqVSU/s400/18880318_1101719013291684_2096762216444328656_o.jpg" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Centre of Excellence of Inverse Modelling and Imaging: applications.<br /></td></tr>
</tbody></table>
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Probably the biggest news story is that now also our FMI team is part of the new 2018–2025 “Centre of Excellence of Inverse Modelling and Imaging.” The University of Helsinki team, the team where I had the pleasure of visiting for the last seven months, coordinates this Centre! We will have the kick-off meeting next week at Uunisaari. It will be fun!</div>
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<br /></div>
<div class="MsoNormal">
<span lang="EN-GB">Regarding
this site, I updated my <a href="http://jannehakkarainen.blogspot.fi/p/some-info.html">Biographical Sketch</a>. Enjoy!<o:p></o:p></span></div>
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<br /></div>
<div class="MsoNormal">
<span lang="EN-US">In the next
post will recap my experiences from Slush 2017 Skolar Award.<o:p></o:p></span></div>
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<br /></div>
<div class="MsoNormal">
<span lang="EN-US">Stay tuned!<o:p></o:p></span></div>
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<br /></div>
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<span lang="EN-US">Janne<o:p></o:p></span></div>
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