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24 pages, 10403 KiB  
Article
Spatio-Temporal Variation in Landforms and Surface Urban Heat Island in Riverine Megacity
by Namita Gorai, Jatisankar Bandyopadhyay, Bijay Halder, Minhaz Farid Ahmed, Altaf Hossain Molla and Thomas M. T. Lei
Sustainability 2024, 16(8), 3383; https://doi.org/10.3390/su16083383 - 18 Apr 2024
Viewed by 1409
Abstract
Rapid urbanization and changing climatic procedures can activate the present surface urban heat island (SUHI) effect. An SUHI was considered by temperature alterations among urban and rural surroundings. The urban zones were frequently warmer than the rural regions because of population pressure, urbanization, [...] Read more.
Rapid urbanization and changing climatic procedures can activate the present surface urban heat island (SUHI) effect. An SUHI was considered by temperature alterations among urban and rural surroundings. The urban zones were frequently warmer than the rural regions because of population pressure, urbanization, vegetation insufficiency, industrialization, and transportation systems. This investigation analyses the Surface-UHI (SUHI) influence in Kolkata Municipal Corporation (KMC), India. Growing land surface temperature (LST) may cause an SUHI and impact ecological conditions in urban regions. The urban thermal field variation index (UTFVI) served as a qualitative and quantitative barrier to the SUHI susceptibility. The maximum likelihood approach was used in conjunction with supervised classification techniques to identify variations in land use and land cover (LULC) over a chosen year. The outcomes designated a reduction of around 1354.86 Ha, 653.31 Ha, 2286.9 Ha, and 434.16 Ha for vegetation, bare land, grassland, and water bodies, correspondingly. Temporarily, from the years 1991–2021, the built-up area increased by 4729.23 Ha. The highest LST increased by around 7.72 °C, while the lowest LST increased by around 5.81 °C from 1991 to 2021. The vegetation index and LST showed a negative link, according to the correlation analyses; however, the built-up index showed an experimentally measured positive correlation. This inquiry will compel the administration, urban planners, and stakeholders to observe humanistic activities and thus confirm sustainable urban expansion. Full article
(This article belongs to the Special Issue Regional Climate Change and Application of Remote Sensing)
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Figure 1

Figure 1
<p>The location map of the case study.</p>
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<p>The modelling framework of the adopted methodology.</p>
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<p>Maps of the land cover/use of the studied Kolkata district.</p>
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<p>Maps of built-up land in different years (1991–2021).</p>
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<p>Maps of vegetation land in different years (1991–2021).</p>
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<p>Change detection of LULC (<b>a</b>) 1991–1996; (<b>b</b>) 1996–2001; (<b>c</b>) 2001–2006; (<b>d</b>) 2006–2016; (<b>e</b>) 2016–2021; (<b>f</b>) 1991–2021.</p>
Full article ">Figure 6 Cont.
<p>Change detection of LULC (<b>a</b>) 1991–1996; (<b>b</b>) 1996–2001; (<b>c</b>) 2001–2006; (<b>d</b>) 2006–2016; (<b>e</b>) 2016–2021; (<b>f</b>) 1991–2021.</p>
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<p>Maps of the LST in different years (1991–2021).</p>
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<p>Maps of the NDVI in different years (1991–2021).</p>
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<p>Maps of the NDBI in different years (1991–2021).</p>
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<p>Maps of the NDMI in different years (1991–2021).</p>
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<p>Maps of the NDBaI in different years (1991–2021).</p>
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<p>Maps of the NDWI in different years (1991–2021).</p>
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<p>Maps of the SUHI in different years (1991–2021).</p>
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<p>Maps of the UTFVI in different years (1991–2021).</p>
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<p>Correlation analysis of LST and some geo-spatial indices in different years (1991–2021).</p>
Full article ">Figure 15 Cont.
<p>Correlation analysis of LST and some geo-spatial indices in different years (1991–2021).</p>
Full article ">Figure 15 Cont.
<p>Correlation analysis of LST and some geo-spatial indices in different years (1991–2021).</p>
Full article ">
14 pages, 1482 KiB  
Article
Do Successful Researchers Reach the Self-Organized Critical Point?
by Asim Ghosh and Bikas K. Chakrabarti
Physics 2024, 6(1), 46-59; https://doi.org/10.3390/physics6010004 - 30 Dec 2023
Cited by 5 | Viewed by 917
Abstract
The index of success of the researchers is now mostly measured using the Hirsch index (h). Our recent precise demonstration, that statistically hNcNp, where Np and Nc denote, respectively, the total number [...] Read more.
The index of success of the researchers is now mostly measured using the Hirsch index (h). Our recent precise demonstration, that statistically hNcNp, where Np and Nc denote, respectively, the total number of publications and total citations for the researcher, suggests that average number of citations per paper (Nc/Np), and hence h, are statistical numbers (Dunbar numbers) depending on the community or network to which the researcher belongs. We show here, extending our earlier observations, that the indications of success are not reflected by the total citations Nc, rather by the inequalities among citations from publications to publications. Specifically, we show that for highly successful authors, the yearly variations in the Gini index (g, giving the average inequality of citations for the publications) and the Kolkata index (k, giving the fraction of total citations received by the top (1k) fraction of publications; k=0.80 corresponds to Pareto’s 80/20 law) approach each other to g=k0.82, signaling a precursor for the arrival of (or departure from) the self-organized critical (SOC) state of his/her publication statistics. Analyzing the citation statistics (from Google Scholar) of thirty successful scientists throughout their recorded publication history, we find that the g and k for the highly successful among them (mostly Nobel laureates, highest rank Stanford cite-scorers, and a few others) reach and hover just above (and then) below that g=k0.82 mark, while for others they remain below that mark. We also find that all the lower (than the SOC mark 0.82) values of k and g fit a linear relationship, k=1/2+cg, with c=0.39, as suggested by an approximate Landau-type expansion of the Lorenz function, and this also indicates k=g0.82 for the (extrapolated) SOC precursor mark. Full article
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Figure 1

Figure 1
<p>The Lorenz curve, represented by <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math> (in red), denotes the cumulative proportion of total citations possessed by a fraction <span class="html-italic">p</span> of papers, when organized in ascending order of citation counts. Conversely, the black dotted line indicates perfect equality, where each paper receives an equal number of citations. The Gini index (<span class="html-italic">g</span>) is computed from the area (<span class="html-italic">S</span>) between the Lorenz curve and the equality line (the shaded region), normalized by the total area under the equality line (<math display="inline"><semantics> <mrow> <mi>S</mi> <mo>+</mo> <msup> <mi>S</mi> <mo>′</mo> </msup> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </semantics></math>). The Kolkata index (<span class="html-italic">k</span>) is obtained by locating the fixed point of the complementary Lorenz function (<math display="inline"><semantics> <msub> <mi>L</mi> <mi>c</mi> </msub> </semantics></math>; shown in green), defined as <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>≡</mo> <mn>1</mn> <mo>−</mo> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>: <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math>. By geometry, the value of <span class="html-italic">k</span> gives the proportion of total citations owned or possessed by <math display="inline"><semantics> <mrow> <mo>(</mo> <mn>1</mn> <mo>−</mo> <mi>k</mi> <mo>)</mo> </mrow> </semantics></math> fraction of the top cited papers.</p>
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<p>Yearly variations of the citation inequality indices, Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>), for three Nobel prize winners in physics and three in chemistry. The indices are calculated using the present citation data for the publications within a 5-year window, starting from first recorded one in Google Scholar, and the window sliding by one year. The corresponding year shown is mid mid-year of the window until 2022 (shown for year 2020 for the last 5-year window). The <span class="html-italic">g</span> value crossing above (and coming down) the <span class="html-italic">k</span> value marks the precursor of onset (leaving) the SOC state with time. The inset shows <span class="html-italic">k</span> versus <span class="html-italic">g</span> (in red) over the entire career of the scientist. It fits well with the linear (Landau-like) relationship, <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>0.39</mn> <mi>g</mi> </mrow> </semantics></math>, suggesting a crossing SOC precursor point at <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.82</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 3
<p>Yearly variations of the citation inequality indices, Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>), for three Nobel prize winners in physiology-medicine and three in economics. The indices are calculated using the present citation data for the publications within a 5-year window, starting from the first recorded one in Google Scholar, and the window sliding by one year. The corresponding year shown is mid-year of the window until 2022 (shown for the year 2020 for the last 5-year window). The <span class="html-italic">g</span> value crossing above (and coming down) the <span class="html-italic">k</span> value marks the precursor of onset (leaving) the SOC state with time. The inset shows <span class="html-italic">k</span> versus <span class="html-italic">g</span> (in red) over the entire career of the scientist. It fits well with the linear (Landau-like) relationship, <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>0.39</mn> <mi>g</mi> </mrow> </semantics></math>, suggesting a crossing SOC precursor point at <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.82</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 4
<p>Yearly variations of the citation inequality indices, Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>), for two winners each of Fields medal (mathematics), Boltzmann prize (statistical physics) and Breakthrough prize (physics). The indices are calculated using the present citation data for the publications within a 5-year window, starting from first recorded one in Google Scholar, and the window sliding by one year. The corresponding year shown is mid year of the window until 2022 (shown for year 2020 for the last 5-year window). The <span class="html-italic">g</span> value crossing above (and coming down) the <span class="html-italic">k</span> value marks the precursor of onset (leaving) the SOC state with time. The inset shows <span class="html-italic">k</span> versus <span class="html-italic">g</span> (in red) over the entire career of the scientist. It fits well with the linear (Landau-like) relationship, <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>0.39</mn> <mi>g</mi> </mrow> </semantics></math>, suggesting a crossing SOC precursor point at <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.82</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 5
<p>Yearly variations of the citation inequality indices, Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>), for six distinguished researchers in econophysics and sociophysics. The indices are calculated using the present citation data for the publications within a 5-year window, starting from the first recorded one in Google Scholar, and the window sliding by one year. The corresponding year shown is mid-year of the window until 2022 (shown for year 2020 for the last 5-year window). The <span class="html-italic">g</span> value crossing above (and coming down) the <span class="html-italic">k</span> value marks the precursor of onset (leaving) the SOC state with time. The inset shows <span class="html-italic">k</span> versus <span class="html-italic">g</span> (in red) over the entire career of the scientist. It fits well with the linear (Landau-like) relationship, <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>0.39</mn> <mi>g</mi> </mrow> </semantics></math>, suggesting a crossing SOC precursor point at <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.82</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 6
<p>Yearly variations of the citation inequality indices, Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>), for three top-most Stanford cite-scores and three lower rank entries from the “top 2% Stanford cite-scores” [<a href="#B15-physics-06-00004" class="html-bibr">15</a>,<a href="#B33-physics-06-00004" class="html-bibr">33</a>]. The indices are calculated using the present citation data for the publications within a 5-year window, starting from first recorded one in Google Scholar, and the window sliding by one year. The corresponding year shown is mid mid-year of the window until 2022 (shown for year 2020 for the last 5-year window). The <span class="html-italic">g</span> value crossing above (and coming down) the <span class="html-italic">k</span> value marks the precursor of onset (leaving) the SOC state with time. The inset shows <span class="html-italic">k</span> versus <span class="html-italic">g</span> (in red) over the entire career of the scientist. It fits well with the linear (Landau-like) relationship, <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>0.39</mn> <mi>g</mi> </mrow> </semantics></math>, suggesting a crossing SOC precursor point at <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.82</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
Full article ">
17 pages, 2760 KiB  
Article
A Comparative Study of Heavy Metal Pollution in Ambient Air and the Health Risks Assessment in Industrial, Urban and Semi-Urban Areas of West Bengal, India: An Evaluation of Carcinogenic, Non-Carcinogenic, and Additional Lifetime Cancer Cases
by Buddhadev Ghosh, Pratap Kumar Padhy, Soumya Niyogi, Pulak Kumar Patra and Markus Hecker
Environments 2023, 10(11), 190; https://doi.org/10.3390/environments10110190 - 1 Nov 2023
Cited by 8 | Viewed by 3707
Abstract
Air pollution is an immense problem due to its detrimental health effects on human populations. This study investigates the distribution of particle-bound heavy metals and associated health risks in three diverse areas (Durgapur as an industrial complex, Kolkata as an urban area, and [...] Read more.
Air pollution is an immense problem due to its detrimental health effects on human populations. This study investigates the distribution of particle-bound heavy metals and associated health risks in three diverse areas (Durgapur as an industrial complex, Kolkata as an urban area, and Bolpur as a semi-urban region) in West Bengal, India. Twenty-one (84 samples) sampling sites were chosen, covering industrial, traffic, residential, and sensitive zones. The respirable suspended particulate matter (RSPM) samples were collected using a portable Mini-Vol Tactical Air Sampler, and heavy metal concentrations (Cd, Cr, Mn, Ni, Pb, and As) were analyzed using ICP-OES. The non-carcinogenic and carcinogenic health risks were assessed using exposure concentration (EC), hazard quotient (HQ), hazard index (HI), and additional lifetime cancer cases. The results highlight variations in heavy metal concentrations across the regions, with industrial areas exhibiting higher levels. Principal component analysis (PCA) unveiled distinct metal co-variation patterns, reflecting sources such as industrial emissions, traffic, and natural contributors. The sum of non-carcinogenic risks (HI) of all heavy metals exceeded the US EPA’s risk limit (HI<1) in both Kolkata and Durgapur, except for Bolpur. Similarly, the sum of cancer risk in three distinct areas exceeded the USEPA limits (1.00E-06). The Monte Carlo simulation revealed the 5th and 95th percentile range of cancer risk was 9.12E-06 to 1.12E-05 in Bolpur, 3.72E-05 to 4.49E-05 in Durgapur and 2.13E-05 to 2.57E-05 in Kolkata. Kolkata had the highest additional lifetime cancer cases compared to Bolpur and Durgapur. This study provides information on the complex connections between heavy metal pollution and possible health risks in industrial, urban, and semi-urban regions. Full article
(This article belongs to the Special Issue Air Pollution in Urban and Industrial Areas II)
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Figure 1

Figure 1
<p>Study areas: semi-urban (Bolpur); urban (Kolkata); and industrial (Durgapur).</p>
Full article ">Figure 2
<p>Relative distribution of heavy metals (HM) in Bolpur, Durgapur, and Kolkata.</p>
Full article ">Figure 3
<p>Principle component analysis (PCA) of Bolpur (<b>a</b>), Durgapur (<b>b</b>), and Kolkata (<b>c</b>).</p>
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<p>Monte Carlo histogram and sensitivity analysis of the (<b>a</b>) hazard index (<span class="html-italic">HI</span>) and (<b>b</b>) carcinogenic risk of heavy metals in Bolpur.</p>
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<p>Monte Carlo histogram and sensitivity analysis of the (<b>a</b>) hazard index (<span class="html-italic">HI</span>) and (<b>b</b>) carcinogenic risk of heavy metals in Durgapur.</p>
Full article ">Figure 6
<p>Monte Carlo histogram and sensitivity analysis of the (<b>a</b>) hazard index (<span class="html-italic">HI</span>) and (<b>b</b>) carcinogenic risk of heavy metals in Kolata.</p>
Full article ">
36 pages, 1976 KiB  
Review
Sandpile Universality in Social Inequality: Gini and Kolkata Measures
by Suchismita Banerjee, Soumyajyoti Biswas, Bikas K. Chakrabarti, Asim Ghosh and Manipushpak Mitra
Entropy 2023, 25(5), 735; https://doi.org/10.3390/e25050735 - 28 Apr 2023
Cited by 5 | Viewed by 2002
Abstract
Social inequalities are ubiquitous and evolve towards a universal limit. Herein, we extensively review the values of inequality measures, namely the Gini (g) index and the Kolkata (k) index, two standard measures of inequality used in the analysis of [...] Read more.
Social inequalities are ubiquitous and evolve towards a universal limit. Herein, we extensively review the values of inequality measures, namely the Gini (g) index and the Kolkata (k) index, two standard measures of inequality used in the analysis of various social sectors through data analysis. The Kolkata index, denoted as k, indicates the proportion of the ‘wealth’ owned by (1k) fraction of the ‘people’. Our findings suggest that both the Gini index and the Kolkata index tend to converge to similar values (around g=k0.87, starting from the point of perfect equality, where g=0 and k=0.5) as competition increases in different social institutions, such as markets, movies, elections, universities, prize winning, battle fields, sports (Olympics), etc., under conditions of unrestricted competition (no social welfare or support mechanism). In this review, we present the concept of a generalized form of Pareto’s 80/20 law (k=0.80), where the coincidence of inequality indices is observed. The observation of this coincidence is consistent with the precursor values of the g and k indices for the self-organized critical (SOC) state in self-tuned physical systems such as sand piles. These results provide quantitative support for the view that interacting socioeconomic systems can be understood within the framework of SOC, which has been hypothesized for many years. These findings suggest that the SOC model can be extended to capture the dynamics of complex socioeconomic systems and help us better understand their behavior. Full article
(This article belongs to the Special Issue Entropy-Based Applications in Sociophysics)
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Figure 1

Figure 1
<p>The Lorenz curve or function (<math display="inline"><semantics> <mrow> <mi>L</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>, red) shows the proportion of total wealth owned by a fraction (<span class="html-italic">p</span>) of people in ascending order of wealth. The black dotted line represents a scenario of perfect equality in which everyone possesses the same amount of wealth. The Gini index (<span class="html-italic">g</span>) is calculated as the area (<span class="html-italic">S</span>) between the Lorenz curve and the equality line (shaded region), normalized by the total area under the equality line (<math display="inline"><semantics> <mrow> <mi>S</mi> <mo>+</mo> <msup> <mi>S</mi> <msup> <mrow/> <mo>′</mo> </msup> </msup> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </semantics></math>). The complementary Lorenz function (<math display="inline"><semantics> <mrow> <mover accent="true"> <mi>L</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>≡</mo> <mn>1</mn> <mo>−</mo> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> is) shown in green. The Kolkata index (<span class="html-italic">k</span>) is determined by the point at which the Lorenz curve intersects the diagonal line perpendicular to the equality line. The value of <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>L</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mi>L</mi> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> is equal to <span class="html-italic">k</span>, which indicates that <span class="html-italic">k</span> is a fixed point of <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>L</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> and indicates the proportion of wealth owned by the top <math display="inline"><semantics> <mrow> <mo>(</mo> <mn>1</mn> <mo>−</mo> <mi>k</mi> <mo>)</mo> </mrow> </semantics></math> fraction of the population.</p>
Full article ">Figure 2
<p>Timeline of the evolution of social inequality measures since 1896 and their universal convergence to those for sand pile models prior to their respective self-organized critical (SOC) points. We start the timeline from 1896 with the work of Pareto [<a href="#B1-entropy-25-00735" class="html-bibr">1</a>] and subsequent developments in 1905 by Lorenz [<a href="#B2-entropy-25-00735" class="html-bibr">2</a>] and Gini [<a href="#B4-entropy-25-00735" class="html-bibr">4</a>] in 1912. Then we observe the consistency of the Gini index (<span class="html-italic">g</span>) for a decade-span 1980–1990 [<a href="#B5-entropy-25-00735" class="html-bibr">5</a>]. Subsequent protest happened in 2011 at the Wall Street for the advection of the majority portion of the entire wealth in the hands of very few people [<a href="#B6-entropy-25-00735" class="html-bibr">6</a>]. In 2014, Kolkata index (<span class="html-italic">k</span>) was introduced as another measure of inequality in the wealth distribution [<a href="#B7-entropy-25-00735" class="html-bibr">7</a>]. In 2016, Watkins and others proposed that all social systems evolve towards the respective SOC state [<a href="#B11-entropy-25-00735" class="html-bibr">11</a>]. Piketty (2017) pointed out forcefully about the continuous growth of the wealth of top 10% of the people [<a href="#B14-entropy-25-00735" class="html-bibr">14</a>]. In the year 2020, the work of Banerjee and others reported that the inequality of the social systems has a tendency to evolve at a point of <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> <mo>≈</mo> <mn>0.87</mn> </mrow> </semantics></math> [<a href="#B9-entropy-25-00735" class="html-bibr">9</a>,<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]. In 2022, Manna and others showed numerically that many physical SOC systems show <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> <mo>≈</mo> <mn>0.86</mn> </mrow> </semantics></math> just preceding the SOC points in the respective systems [<a href="#B16-entropy-25-00735" class="html-bibr">16</a>]. In this review, the figures and tables are arranged with self-contained captions in an attempt to provide readers with an overview of our motivation and the main results presented the introductory and concluding sections (15 figures and 13 tables and their captions).</p>
Full article ">Figure 3
<p>Graph of the Gini index (<span class="html-italic">g</span>) versus the <span class="html-italic">k</span> index (<span class="html-italic">k</span>), where the orange line represents the equality line (<math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math>). The black dots indicate the (<math display="inline"><semantics> <mrow> <mi>g</mi> <mo>,</mo> <mi>k</mi> </mrow> </semantics></math>) values for the Lorenz function, <math display="inline"><semantics> <mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>p</mi> <mi>n</mi> </msup> </mrow> </semantics></math>, and <span class="html-italic">n</span> ranges from 1 to 20. The inset shows the Lorenz curves for <math display="inline"><semantics> <mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>p</mi> <mn>2</mn> </msup> </mrow> </semantics></math> (red curve), <math display="inline"><semantics> <mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>p</mi> <mn>13</mn> </msup> </mrow> </semantics></math> (blue curve), and <math display="inline"><semantics> <mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>p</mi> <mn>14</mn> </msup> </mrow> </semantics></math> (green dashed curve), with their corresponding <span class="html-italic">k</span>-index values (<math display="inline"><semantics> <mrow> <mi>k</mi> <mn>1</mn> <mo>≃</mo> <mn>0.618</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>k</mi> <mn>2</mn> <mo>≃</mo> <mn>0.860</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>k</mi> <mn>3</mn> <mo>≃</mo> <mn>0.866</mn> </mrow> </semantics></math>, respectively). This figure is adopted from Banerjee et al. (2022) [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>].</p>
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<p>The plot of the Gini index (<span class="html-italic">g</span>) versus the <span class="html-italic">k</span> index (<span class="html-italic">k</span>), where the orange line corresponds to the <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math> line. The black dots represent (<math display="inline"><semantics> <mrow> <mi>g</mi> <mo>,</mo> <mi>k</mi> </mrow> </semantics></math>) values for several simple Lorenz functions, as listed in <a href="#entropy-25-00735-t002" class="html-table">Table 2</a>. The black dots tend to converge towards the <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math> line higher values of <span class="html-italic">g</span>. In the inset, two different Lorenz curves are shown for cases (4) and (7) from <a href="#entropy-25-00735-t002" class="html-table">Table 2</a>. The red curve represents the Lorenz curve for case (4) with a <span class="html-italic">k</span>-index value of <math display="inline"><semantics> <mrow> <mi>k</mi> <mn>1</mn> <mo>≃</mo> <mn>0.682</mn> </mrow> </semantics></math>, while the blue curve represents the Lorenz curve for case (7) with a <span class="html-italic">k</span>-index value of <math display="inline"><semantics> <mrow> <mi>k</mi> <mn>2</mn> <mo>≃</mo> <mn>0.833</mn> </mrow> </semantics></math>. These results provide insight into the relationship between the Gini index and the <span class="html-italic">k</span> index, as well as the behavior of these measures across different Lorenz curves (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>Plot of the Kolkata index (<span class="html-italic">k</span>) against the Gini index (<span class="html-italic">g</span>) for income and income tax data extracted from IRS (USA) data [<a href="#B19-entropy-25-00735" class="html-bibr">19</a>,<a href="#B20-entropy-25-00735" class="html-bibr">20</a>] from the years 1983 to 2018. The data were obtained from the corresponding Lorenz functions (<math display="inline"><semantics> <mrow> <mi>L</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>) for each of these 36 years (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>Trend of the Gini (<span class="html-italic">g</span>) and Kolkata (<span class="html-italic">k</span>) indices over time (year) for the US economy using IRS data [<a href="#B19-entropy-25-00735" class="html-bibr">19</a>,<a href="#B20-entropy-25-00735" class="html-bibr">20</a>]. The graph clearly shows an increasing trend in the inequality measures over time, indicating a decline in public welfare and a shift towards an SOC state of unrestricted competition. The value of <span class="html-italic">k</span> in the tax data, which is argued to be a better indicator of the prevailing inequality status, surpasses the Pareto value of 0.80 and is predicted to reach 0.87, similar to other socioeconomic systems (e.g., movie income or citations) in which public welfare programs are completely absent (this figure is adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>Scatter plot of the Kolkata index (<span class="html-italic">k</span>) versus the Gini index (<span class="html-italic">g</span>) for box office income obtained from Hollywood (USA, data source: [<a href="#B21-entropy-25-00735" class="html-bibr">21</a>]) and Bollywood (India, data source: [<a href="#B22-entropy-25-00735" class="html-bibr">22</a>]) over a period of 9 years from 2011 to 2019. The plot provides a comparative analysis of the inequality measures for these two major film industries (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>The Lorenz function (curve) depicts the distribution of the difference in the closing price of Bitcoin for consecutive days (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>(<b>Left</b>): A graphical representation of the Kolkata index (<span class="html-italic">k</span>) plotted against the Gini index (<span class="html-italic">g</span>) for the statistical analysis of the daily Bitcoin price. (<b>Right</b>): temporal variation of the <span class="html-italic">g</span> and <span class="html-italic">k</span> indices. For comparison, a reference value of approximately 0.87 is provided in the figure (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>Comparison of the Gini index (<span class="html-italic">g</span>) and Kolkata index (<span class="html-italic">k</span>) obtained from the analysis of IRS (US) data on income, income tax, and income from movies from 1983 to 2018 (see inset in the figure) and citations of papers published by scientists from universities or institutes; published in journals; and by Nobel laureates in physics, chemistry, medicine, and economics (data taken from Refs. [<a href="#B27-entropy-25-00735" class="html-bibr">27</a>,<a href="#B28-entropy-25-00735" class="html-bibr">28</a>]). The initial variation of <span class="html-italic">k</span> against <span class="html-italic">g</span> for both income and income tax and for citations by universities, journals, and individual scientists is remarkably similar, showing quantitative agreement. The main figure illustrates this comparison (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>Plot of the values of the Kolkata (<span class="html-italic">k</span>) index versus the corresponding Gini (<span class="html-italic">g</span>) index for the citation statistics of publications by 20 selected Nobel laureates, as shown in <a href="#entropy-25-00735-t009" class="html-table">Table 9</a>. The plot suggests a coincidence value of <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.86</mn> <mo>±</mo> <mn>0.06</mn> </mrow> </semantics></math>, as adapted from a previous study [<a href="#B27-entropy-25-00735" class="html-bibr">27</a>].</p>
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<p>Plot of the Kolkata (<span class="html-italic">k</span>) index versus the Gini (<span class="html-italic">g</span>) index for the citation inequalities in papers published by individual prize winners. The data were extracted from the corresponding Lorenz function (<math display="inline"><semantics> <mrow> <mi>L</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>) for each scientist and are presented in <a href="#entropy-25-00735-t010" class="html-table">Table 10</a> (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>A compiled plot of the Kolkata index (<span class="html-italic">k</span>) values versus corresponding Gini index (<span class="html-italic">g</span>) values for several cases analyzed in previous subsections, including household income and income tax data (<a href="#entropy-25-00735-f005" class="html-fig">Figure 5</a>, <a href="#entropy-25-00735-f006" class="html-fig">Figure 6</a>), movie income (<a href="#entropy-25-00735-f007" class="html-fig">Figure 7</a>), citation inequalities among individual prize winners (<a href="#entropy-25-00735-t010" class="html-table">Table 10</a>, <a href="#entropy-25-00735-f012" class="html-fig">Figure 12</a>), and vote share inequalities among election contestants (<a href="#entropy-25-00735-t004" class="html-table">Table 4</a>). The results suggest that there may be universal inequality measures across social institutions, as the data points in the plot converge towards a common value of <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> <mo>=</mo> <mn>0.87</mn> <mo>±</mo> <mn>0.02</mn> </mrow> </semantics></math>. This observation has important implications for understanding the nature and extent of wealth inequality across different domains of society (adopted from [<a href="#B15-entropy-25-00735" class="html-bibr">15</a>]).</p>
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<p>The relationship of the <span class="html-italic">k</span> index versus the Gini index (<span class="html-italic">g</span>) for two sand pile models: (<b>a</b>) the BTW model and (<b>b</b>) the Manna model. In both cases, the initial portions of the curves follow a straight line with slightly different slopes, as demonstrated in the figures. The crossing points of the curves with the line <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math> are 0.8628 and 0.8556 for the BTW and Manna models, respectively. This figure was adapted from [<a href="#B16-entropy-25-00735" class="html-bibr">16</a>].</p>
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<p>The relationships between the <span class="html-italic">k</span> index and Gini index (<span class="html-italic">g</span>) for the EW and centrally loaded fiber bundle models. Figure (<b>a</b>) shows the <span class="html-italic">k</span> versus <span class="html-italic">g</span> plot for the EW model, with an initial slope of 0.40. Figure (<b>b</b>) displays the same plot for the centrally loaded fiber bundle model, with an initial slope of 0.42. The figure is adapted from [<a href="#B16-entropy-25-00735" class="html-bibr">16</a>].</p>
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23 pages, 2481 KiB  
Article
Quantitative Analysis of Land Use and Land Cover Dynamics using Geoinformatics Techniques: A Case Study on Kolkata Metropolitan Development Authority (KMDA) in West Bengal, India
by Ratnadeep Ray, Abhinandan Das, Mohd Sayeed Ul Hasan, Ali Aldrees, Saiful Islam, Mohammad Amir Khan and Giuseppe Francesco Cesare Lama
Remote Sens. 2023, 15(4), 959; https://doi.org/10.3390/rs15040959 - 9 Feb 2023
Cited by 31 | Viewed by 5172
Abstract
One of the most valuable approaches in spatial analysis for a better understanding of the hydrological response of a region or a watershed is certainly the analysis of the well-known land use land cover (LULC) dynamicity. The present case study delves deeper into [...] Read more.
One of the most valuable approaches in spatial analysis for a better understanding of the hydrological response of a region or a watershed is certainly the analysis of the well-known land use land cover (LULC) dynamicity. The present case study delves deeper into the analysis of LULC dynamicity by using digital Landsat TM and Landsat OLI data to classify the Kolkata Metropolitan Development Authority (KMDA) into seven classes with over 90% classification accuracy for decadal level assessments of 30 years (for the years 1989, 1999, 2009, and 2019). The change index, the Dematel method for analyzing the cause-effect relationship among the LULC classes, the Jaccard Similarity Index for measuring the nature of similarity among the LULC classes, and the Adherence Index for measuring the consistency of the LULC classes after the transition was used in this study to analyze the LULC transformation. In more detail, the present study considers how urban land use is altering at the expense of other land uses. Besides the shifting pattern of mean centers of the LULC classes through time, also gives a very significant insight into the LULC dynamics over 30 years of span. The current study of LULC dynamicity and transformation patterns over the 30 years of the KMDA area is expected to assist land and urban planners, engineers, and administrators in sustainable decisions and policies to ensure inclusive urbanization that accommodates population growth while minimizing the impact on potential natural resources within the whole study area. Full article
(This article belongs to the Section AI Remote Sensing)
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<p>Location map of the study area.</p>
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<p>Land use and Land cover map corresponding to the study area for the years 1989, 1999, 2009, and 2019.</p>
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<p>Pie diagram showing the areal accounts on land use and land cover of KMDA for the years 1989, 1999, 2009, and 2019.</p>
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<p>Mean center shifting of each LULC class over the time.</p>
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<p>Causal diagram associated with the effects and caused connected to the land use/cover classes analyzed in the present study.</p>
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14 pages, 375 KiB  
Article
Characteristics of Households’ Vulnerability to Extreme Heat: An Analytical Cross-Sectional Study from India
by Lipika Nanda, Soham Chakraborty, Saswat Kishore Mishra, Ambarish Dutta and Suresh Kumar Rathi
Int. J. Environ. Res. Public Health 2022, 19(22), 15334; https://doi.org/10.3390/ijerph192215334 - 20 Nov 2022
Cited by 1 | Viewed by 2139
Abstract
High ambient temperature is a key public health problem, as it is linked to high heat-related morbidity and mortality. We intended to recognize the characteristics connected to heat vulnerability and the coping practices among Indian urbanites of Angul and Kolkata. In 2020, a [...] Read more.
High ambient temperature is a key public health problem, as it is linked to high heat-related morbidity and mortality. We intended to recognize the characteristics connected to heat vulnerability and the coping practices among Indian urbanites of Angul and Kolkata. In 2020, a cross-sectional design was applied to 500 households (HHs) each in Angul and Kolkata. Information was gathered on various characteristics including sociodemographics, household, exposure, sensitivity, and coping practices regarding heat and summer heat illness history, and these characteristics led to the computation of a heat vulnerability index (HVI). Bivariate and multivariable logistic regression analyses were used with HVI as the outcome variable to identify the determinants of high vulnerability to heat. The results show that some common and some different factors are responsible for determining the heat vulnerability of a household across different cities. For Angul, the factors that influence vulnerability are a greater number of rooms in houses, the use of cooling methods such as air conditioning, having comorbid conditions, the gender of the household head, and distance from nearby a primary health centre (PHC). For Kolkata, the factors are unemployment, income, the number of rooms, sleeping patterns, avoidance of nonvegetarian food, sources of water, comorbidities, and distance from a PHC. The study shows that every city has a different set of variables that influences vulnerability, and each factor should be considered in design plans to mitigate vulnerability to extreme heat. Full article
(This article belongs to the Special Issue Epidemiology and Medical Statistics)
20 pages, 1119 KiB  
Article
Heat Exposure, Heat-Related Symptoms and Coping Strategies among Elderly Residents of Urban Slums and Rural Vilages in West Bengal, India
by Barun Mukhopadhyay and Charles A. Weitz
Int. J. Environ. Res. Public Health 2022, 19(19), 12446; https://doi.org/10.3390/ijerph191912446 - 29 Sep 2022
Cited by 7 | Viewed by 2144
Abstract
The impact of heat stress among the elderly in India—particularly the elderly poor—has received little or no attention. Consequently, their susceptibility to heat-related illnesses is virtually unknown, as are the strategies they use to avoid, or deal with, the heat. This study examined [...] Read more.
The impact of heat stress among the elderly in India—particularly the elderly poor—has received little or no attention. Consequently, their susceptibility to heat-related illnesses is virtually unknown, as are the strategies they use to avoid, or deal with, the heat. This study examined perceptions of comfort, heat-related symptoms, and coping behaviors of 130 elderly residents of Kolkata slums and 180 elderly residents of rural villages south of Kolkata during a 90-day period when the average 24-h heat indexes were between 38.6 °C and 41.8 °C. Elderly participants in this study reported being comfortable under relatively warm conditions—probably explained by acclimatization to the high level of experienced heat stress. The prevalence of most heat-related symptoms was significantly greater among elderly women, who also were more likely to report multiple symptoms and more severe symptoms. Elderly women in the rural villages were exposed to significantly hotter conditions during the day than elderly men, making it likely that gender differences in symptom frequency, number and severity were related to gender differences in heat stress. Elderly men and elderly village residents made use of a greater array of heat-coping behaviors and exhibited fewer heat-related symptoms than elderly women and elderly slum residents. Overall, heat measurements and heat-related symptoms were less likely to be significant predictors of most coping strategies than personal characteristics, building structures and location. This suggests that heat-coping behaviors during hot weather were the result of complex, culturally influenced decisions based on many different considerations besides just heat stress. Full article
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<p>Flow chart of data collection process.</p>
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<p>Distribution of symptoms by location (upper panel) and by gender (lower panel). Asterisks indicate statistically significant differences (see <xref ref-type="app" rid="app1-ijerph-19-12446">Supplemental File S5</xref> for data).</p>
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<p>Distribution of heat-coping behaviors by location (upper panel) and by gender (lower panel). Asterisks indicate statistically significant differences (see <xref ref-type="app" rid="app1-ijerph-19-12446">Supplemental File S5</xref> for data).</p>
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26 pages, 22997 KiB  
Article
Assessment of Urban Green Space Dynamics Influencing the Surface Urban Heat Stress Using Advanced Geospatial Techniques
by Bijay Halder, Jatisankar Bandyopadhyay, Aqeel Ali Al-Hilali, Ali M. Ahmed, Mayadah W. Falah, Salwan Ali Abed, Khaldoon T. Falih, Khaled Mohamed Khedher, Miklas Scholz and Zaher Mundher Yaseen
Agronomy 2022, 12(9), 2129; https://doi.org/10.3390/agronomy12092129 - 8 Sep 2022
Cited by 16 | Viewed by 3846
Abstract
Urban areas are mostly heterogeneous due to settlements and vegetation including forests, water bodies and many other land use and land cover (LULC) classes. Due to the overwhelming population pressure, urbanization, industrial works and transportation systems, urban areas have been suffering from a [...] Read more.
Urban areas are mostly heterogeneous due to settlements and vegetation including forests, water bodies and many other land use and land cover (LULC) classes. Due to the overwhelming population pressure, urbanization, industrial works and transportation systems, urban areas have been suffering from a deficiency of green spaces, which leads to an increase in the variation of temperature in urban areas. This study investigates the conceptual framework design towards urban green space (UGS) and thermal variability over Kolkata and Howrah city using advanced remote sensing (RS) and geospatial methods. The low green space is located in the highly built-up area, which is influenced by thermal variations. Therefore, the heat stress index showed a high area located within the central, north, northwestern and some parts of the southern areas. The vegetated areas decreased by 8.62% during the ten years studied and the other land uses increased by 11.23%. The relationship between land surface temperature (LST) and the normalized difference vegetation index (NDVI) showed significant changes with R2 values between 0.48 (2010) and 0.23 (2020), respectively. The correlation among the LST and the normalized difference built-up index (NDBI) showed a notable level of change with R2 values between 0.38 (2010) and 0.61 (2020), respectively. The results are expected to contribute significantly towards urban development and planning, policymaking and support for key stakeholders responsible for the sustainable urban planning procedures and processes. Full article
(This article belongs to the Section Agricultural Biosystem and Biological Engineering)
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<p>Vegetation degradation area identification on satellite images in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Locational map of the study area showing the twin cities of West Bengal (Kolkata and Howrah).</p>
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<p>Adopted methodology of this study.</p>
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<p>Adopted methodology for heat stress index calculation.</p>
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<p>Land use and land cover (LULC) classification in 2010 and 2020 in West Bengal (Kolkata and Howrah).</p>
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<p>LULC change analysis using a bar diagram for 2010 and 2020 concerning West Bengal (Kolkata and Howrah).</p>
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<p>The LST variation over the years 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Normalized difference vegetation index (NDVI) variations in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Normalized difference built-up index (NDBI) variation in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Correlation analysis between LST and spectral indices.</p>
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<p>Correlation analysis between LST and spectral indices.</p>
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<p>Green space dynamics in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Recent zone-wise green space and grassland of West Bengal (Kolkata and Howrah).</p>
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<p>SUHI variation in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Urban thermal field variation index (UTFVI) variation in 2010 and 2020 for West Bengal (Kolkata and Howrah).</p>
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<p>Heat stress index map of West Bengal (Kolkata and Howrah).</p>
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5 pages, 1353 KiB  
Proceeding Paper
Comparison of Extreme Bioclimatic Episodes in Kolkata (India) and Two Neighboring Suburban Stations
by Sourabh Bal and Adwitia Bal
Environ. Sci. Proc. 2022, 19(1), 56; https://doi.org/10.3390/ecas2022-12858 - 27 Jul 2022
Viewed by 755
Abstract
The objective of the present study is to estimate the duration of extreme thermal bioclimate conditions in and around Kolkata, one of the highly densely populated cities in India. The biometeorological conditions have been calculated by Physiologically Equivalent Temperature (PET) using the RayMan [...] Read more.
The objective of the present study is to estimate the duration of extreme thermal bioclimate conditions in and around Kolkata, one of the highly densely populated cities in India. The biometeorological conditions have been calculated by Physiologically Equivalent Temperature (PET) using the RayMan model at 05:30 h and 14:30 h (IST) based on meteorological data for the stations Kolkata (Alipore), Dum Dum, and Diamond Harbour for the period January 2020 to December 2021. Dum Dum is located to the north of Kolkata, and Diamond Harbour is situated to the south of Kolkata. The meteorological data were retrieved from the station data measured by the Indian Meteorological Department (IMD). The atmospheric variables required to calculate the PET index are air temperature, relative humidity, cloud cover, and wind speed. A recent study reported that stations outside Kolkata suffer warmer human thermal stress conditions. To account for the prolonged thermal stress periods, PET greater than 40 °C is categorized as an episode if it turns up consecutively between 1 and 5 days, 6 and 10 days, 11 and 15 days, 16 and 20 days, 21 and 25 days, and 26 and 30 days. The number distribution of days not exceeding 40 °C remains the same for all the stations. The number of episodes occurring successively for 6–10 days, 11–15 days, 16–20 days, and 21–25 days is highest in Diamond Harbour relative to Kolkata and Dum Dum at 14:30 h. Episodes occurring successively for 26–30 days appear in Kolkata and Dum Dum, whereas no episodes appear in Diamond Harbour. Full article
(This article belongs to the Proceedings of The 5th International Electronic Conference on Atmospheric Sciences)
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<p>Monthly frequency diagram (in percentages) exhibiting the mean PET for Alipore (KOL), Dum Dum (DMM), and Diamond Harbour (DHR) from the top at 05:30 h, 08:30 h, 11:30 h, 14:30 h, 17:30 h, and 20:30 h from 2020 to 2021.</p>
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<p>From the top <bold>first row</bold> depicts number of days with PET less than 40 °C. Number of episodes with PET value greater than 40 °C and sustains between 1 to 5 days (<bold>second row</bold>), 6 to 10 days (<bold>third row</bold>), 11 to 15 days (<bold>fourth row</bold>), 16 to 20 days (<bold>fifth row</bold>), 21 to 25 days (<bold>sixth row</bold>), and 26 to 30 days (<bold>seventh row</bold>). Each column from the left represents 05:30 h, 08:30 h, 11:30 h, 14:30 h, 17:30 h, and 20:30 h, respectively.</p>
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17 pages, 1957 KiB  
Article
A Heat Vulnerability Index: Spatial Patterns of Exposure, Sensitivity and Adaptive Capacity for Urbanites of Four Cities of India
by Suresh Kumar Rathi, Soham Chakraborty, Saswat Kishore Mishra, Ambarish Dutta and Lipika Nanda
Int. J. Environ. Res. Public Health 2022, 19(1), 283; https://doi.org/10.3390/ijerph19010283 - 28 Dec 2021
Cited by 15 | Viewed by 4136
Abstract
Extreme heat and heat waves have been established as disasters which can lead to a great loss of life. Several studies over the years, both within and outside of India, have shown how extreme heat events lead to an overall increase in mortality. [...] Read more.
Extreme heat and heat waves have been established as disasters which can lead to a great loss of life. Several studies over the years, both within and outside of India, have shown how extreme heat events lead to an overall increase in mortality. However, the impact of extreme heat, similar to other disasters, depends upon the vulnerability of the population. This study aims to assess the extreme heat vulnerability of the population of four cities with different characteristics across India. This cross-sectional study included 500 households from each city across the urban localities (both slum and non-slum) of Ongole in Andhra Pradesh, Karimnagar in Telangana, Kolkata in West Bengal and Angul in Odisha. Twenty-one indicators were used to construct a household vulnerability index to understand the vulnerability of the cities. The results have shown that the majority of the households fell under moderate to high vulnerability level across all the cities. Angul and Kolkata were found to be more highly vulnerable as compared to Ongole and Karimnagar. Further analysis also revealed that household vulnerability is more significantly related to adaptive capacity than sensitivity and exposure. Heat Vulnerability Index can help in identifying the vulnerable population and scaling up adaptive practices. Full article
(This article belongs to the Special Issue Climate Driven Health Impacts)
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<p>Pictorial Distribution of No. of Households by HVI Scores in Kolkata.</p>
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<p>Pictorial Distribution of No. of Households by HVI Scores in Angul.</p>
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<p>Pictorial Distribution of No. of Households by HVI Scores in Ongole.</p>
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<p>Pictorial Distribution of No. of Households by HVI Scores in Karimnagar.</p>
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20 pages, 12110 KiB  
Article
Mapping the Impact of COVID-19 Lockdown on Urban Surface Ecological Status (USES): A Case Study of Kolkata Metropolitan Area (KMA), India
by Manob Das, Arijit Das, Paulo Pereira and Asish Mandal
Remote Sens. 2021, 13(21), 4395; https://doi.org/10.3390/rs13214395 - 31 Oct 2021
Cited by 7 | Viewed by 4206
Abstract
An urban ecosystem’s ecological structure and functions can be assessed through Urban Surface Ecological Status (USES). USES are affected by human activities and environmental processes. The mapping of USESs are crucial for urban environmental sustainability, particularly in developing countries such as India. The [...] Read more.
An urban ecosystem’s ecological structure and functions can be assessed through Urban Surface Ecological Status (USES). USES are affected by human activities and environmental processes. The mapping of USESs are crucial for urban environmental sustainability, particularly in developing countries such as India. The COVID-19 pandemic caused unprecedented negative impacts on socio-economic domains; however, there was a reduction in human pressures on the environment. This study aims to assess the effects of lockdown on the USES in the Kolkata Metropolitan Area (KMA), India, during different lockdown phases (phases I, II and III). The land surface temperature (LST), normalized difference vegetation index (NDVI), and wetness and normalized difference soil index (NDSI) were assessed. The USES was developed by combining all of the biophysical parameters using Principal Component Analysis (PCA). The results showed that there was a substantial USES spatial variability in KMA. During lockdown phase III, the USES in fair and poor sustainability areas decreased from 29% (2019) to 24% (2020), and from 33% (2019) to 25% (2020), respectively. Overall, the areas under poor USES decreased from 30% to 25% during lockdown periods. Our results also showed that the USES mean value was 0.49 in 2019but reached 0.34 during the lockdown period (a decrease of more than 30%). The poor USES area was mainly concentrated in built-up areas (with high LST and NDSI), compared to the rural fringe areas of KMA (high NDVI and wetness). The mapping of USES are crucial in different biophysical environmental conditions, and they can be very helpful for the assessment of urban sustainability. Full article
(This article belongs to the Special Issue Temporal Resolution, a Key Factor in Environmental Risk Assessment)
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<p>Location and classification of LULC in Kolkata Metropolitan Areain 2019.</p>
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<p>Methodological frameworks for USES mapping of the study.</p>
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<p>Pattern of LST during 2019 and different phases of lockdown in 2020.</p>
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<p>Pattern of NDVI during 2019 and different phases of lockdown in 2020.</p>
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<p>Pattern of NDSI during 2019 and different phases of lockdown in 2020.</p>
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<p>Pattern of wetness during 2019 and different phases of lockdown in 2020.</p>
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<p>Spatio-temporal patterns of USES in 2019 and different phases of lockdown in 2020.</p>
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<p>Spatio-temporal patterns of classified USES in 2019 and different phases of lockdown in 2020.</p>
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<p>Location of some urban centres with poor USES.</p>
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29 pages, 2983 KiB  
Article
Development of Econophysics: A Biased Account and Perspective from Kolkata
by Bikas K. Chakrabarti and Antika Sinha
Entropy 2021, 23(2), 254; https://doi.org/10.3390/e23020254 - 23 Feb 2021
Cited by 7 | Viewed by 3634
Abstract
We present here a somewhat personalized account of the emergence of econophysics as an attractive research topic in physical, as well as social, sciences. After a rather detailed storytelling about our endeavors from Kolkata, we give a brief description of the main research [...] Read more.
We present here a somewhat personalized account of the emergence of econophysics as an attractive research topic in physical, as well as social, sciences. After a rather detailed storytelling about our endeavors from Kolkata, we give a brief description of the main research achievements in a simple and non-technical language. We also briefly present, in technical language, a piece of our recent research result. We conclude our paper with a brief perspective. Full article
(This article belongs to the Special Issue Three Risky Decades: A Time for Econophysics?)
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<p>Histogram plot of yearwise numbers of entries containing the term econophysics against the corresponding year. The data are taken from Google Scholar (dated 31 December 2020). It may also be noted from Google Scholar that, while this 25-year old econophysics has today typical yearly citation frequency of order <math display="inline"><semantics> <mrow> <mn>1.3</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math>, more than 100-year old subjects, like astrophysics (Meghnad Saha published his thermal ionization equation for solar chromosphere in 1920), biophysics (Karl Pearson coined the term in his 1892 book ‘Grammar of Science’), and geophysics (Issac Newton explained planetary motion, origin of tides, etc., in ‘Principia Mathematica’, 1687), today (31 December 2020) have typical yearly citation frequencies of order <math display="inline"><semantics> <mrow> <mn>32.5</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mn>26.8</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mn>38.6</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> </mrow> </semantics></math>, respectively.</p>
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<p>Reply (dated 17 June 1975) from Bernard Berofsky of the Philosophy Department of Columbia University to BKC on his criticisms of Bernard’s paper on ‘Indeterminism and Freedom’.</p>
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<p>Mail from Bernard Berofsky of the Philosophy Department of Columbia University, in response to BKC’s surprise contact mail in 2013 (after almost thirty-seven years!), appreciating and identifying the development of econophysics as one due to the “physicist(s) with synthesizing impulses of a philosopher … (using) philosophical impulses in a most creative and fecund manner”.</p>
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<p>While optimizing the cost function of a computationally hard problem (like the minimum travel distance for the Traveling Salesman Problem (TSP)), one has to get out of a shallower local minimum, like the configuration C (travel route), to reach a deeper minimum C’. This requires jumps or tunneling, like fluctuations, in the dynamics. Classically, one has to jump over the energy or the cost barriers separating them, while quantum mechanically one can tunnel through the same. If the barrier is high enough, thermal jump becomes very difficult. However, if the barrier is narrow enough, quantum tunneling often becomes quite easy. Indeed, assuming the tall barrier to be of height <span class="html-italic">N</span> and width <math display="inline"><semantics> <mover accent="true"> <mi>w</mi> <mo>˜</mo> </mover> </semantics></math>, one can estimate (see, e.g., Reference [<a href="#B42-entropy-23-00254" class="html-bibr">42</a>]) the tunneling probability through the barrier to be of order <math display="inline"><semantics> <mrow> <mo form="prefix">exp</mo> <mo>[</mo> <mo>−</mo> <mrow> <mo stretchy="false">(</mo> <mover accent="true"> <mi>w</mi> <mo>˜</mo> </mover> <msqrt> <mi>N</mi> </msqrt> <mo stretchy="false">)</mo> </mrow> <mo>/</mo> <mi mathvariant="sans-serif">Γ</mi> <mo>]</mo> </mrow> </semantics></math>, where <math display="inline"><semantics> <mi mathvariant="sans-serif">Γ</mi> </semantics></math> denotes the strength of quantum fluctuations (instead of the the classical escape probability of order <math display="inline"><semantics> <mrow> <mo form="prefix">exp</mo> <mo>[</mo> <mo>−</mo> <mi>N</mi> <mo>/</mo> <mi>T</mi> <mo>]</mo> </mrow> </semantics></math>, <span class="html-italic">T</span> denoting the thermal or classical fluctuation strength).</p>
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<p>Lorenz curve (in red) or function <math display="inline"><semantics> <mrow> <mi>L</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> here represents the fraction of accumulated wealth against the fraction <span class="html-italic">x</span> of people possessing that, when arranged from the poorest to the richest. The diagonal from the origin represents the equality line. The Gini index <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mi>g</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> can be measured by the area <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mi>S</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> between the Lorenz curve and the equality line (shaded region), normalized by the total area <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mi>S</mi> <mo>+</mo> <msup> <mi>S</mi> <mo>′</mo> </msup> <mo>=</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math> under the equality line: <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <mn>2</mn> <mi>S</mi> </mrow> </semantics></math>. The complementary Lorenz function <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mrow> <mo stretchy="false">(</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mo>≡</mo> <mn>1</mn> <mo>−</mo> <mi>L</mi> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math> is shown by the green line. The Kolkata index <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> can be measured by the ordinate value of the intersecting point of the Lorenz curve and the diagonal perpendicular to the equality line. By construction, <math display="inline"><semantics> <mrow> <msup> <mi>L</mi> <mrow> <mo stretchy="false">(</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math> = <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>−</mo> <mi>L</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>k</mi> </mrow> </semantics></math>, saying that <span class="html-italic">k</span> fraction of wealth is being possessed by <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> fraction of richest population.</p>
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<p>Plots of <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </semantics></math> against <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math> following strategy I at (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.25</mn> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math>. A power law holds for <math display="inline"><semantics> <mrow> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mo>∼</mo> <msup> <mrow> <mo stretchy="false">(</mo> <mi>λ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">)</mo> </mrow> <mi>β</mi> </msup> </mrow> </semantics></math>, where <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>1.0</mn> <mo>±</mo> <mn>0.05</mn> </mrow> </semantics></math>. The insets show direct relationship between <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mi>λ</mi> </semantics></math> (for strategy I).</p>
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<p>Plots of steady state convergence time <math display="inline"><semantics> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> </semantics></math> from strategy I against <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo>−</mo> <mi>λ</mi> </mrow> </semantics></math> at (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.25</mn> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math>. A power law holds for <math display="inline"><semantics> <mrow> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>∼</mo> <msup> <mrow> <mo stretchy="false">(</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo>−</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mo>−</mo> <mi>γ</mi> </mrow> </msup> </mrow> </semantics></math>, where <math display="inline"><semantics> <mrow> <mi>γ</mi> <mo>=</mo> <mn>0.5</mn> <mo>±</mo> <mn>0.05</mn> </mrow> </semantics></math>. The insets plot direct relationship between <math display="inline"><semantics> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> </semantics></math> and <math display="inline"><semantics> <mi>λ</mi> </semantics></math> for different system sizes (for strategy I), also showing the variation of <math display="inline"><semantics> <mi>λ</mi> </semantics></math> as <math display="inline"><semantics> <mi>α</mi> </semantics></math> increases.</p>
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<p>Plots of <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </semantics></math> versus <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math> following strategy II at (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.8</mn> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.6</mn> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.4</mn> </mrow> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>. A power law holds for <math display="inline"><semantics> <mrow> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mo>∼</mo> <msup> <mrow> <mo stretchy="false">(</mo> <mi>λ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">)</mo> </mrow> <mi>β</mi> </msup> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>1.0</mn> <mo>±</mo> <mn>0.05</mn> </mrow> </semantics></math>. The insets show direct relationship between variations of <math display="inline"><semantics> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>f</mi> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </semantics></math> against <math display="inline"><semantics> <mi>λ</mi> </semantics></math> (for strategy II).</p>
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<p>Plots of steady state convergence time <math display="inline"><semantics> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> </semantics></math> against <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo>−</mo> <mi>λ</mi> </mrow> </semantics></math> following strategy II at (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.8</mn> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.6</mn> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.4</mn> </mrow> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>. A power law holds for <math display="inline"><semantics> <mrow> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>∼</mo> <msup> <mrow> <mo stretchy="false">(</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo>−</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mo>−</mo> <mi>γ</mi> </mrow> </msup> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>γ</mi> <mo>=</mo> <mn>0.5</mn> <mo>±</mo> <mn>0.07</mn> </mrow> </semantics></math>. The insets give direct relationship between <math display="inline"><semantics> <msup> <mi>τ</mi> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> </msup> </semantics></math> and <math display="inline"><semantics> <mi>λ</mi> </semantics></math> for different system sizes (for strategy II), also showing the variation of <math display="inline"><semantics> <mi>λ</mi> </semantics></math> as <span class="html-italic">p</span> decreases.</p>
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<p>Extrapolation study of the effective finite size critical density of agents <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math>. The system size dependence is numerically fitted to <math display="inline"><semantics> <mfrac> <mn>1</mn> <msqrt> <mi>N</mi> </msqrt> </mfrac> </semantics></math> and we estimate <math display="inline"><semantics> <msub> <mi>λ</mi> <mi>c</mi> </msub> </semantics></math> from <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mo>≡</mo> <msub> <mi>λ</mi> <mi>c</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo>→</mo> <mo>∞</mo> <mo stretchy="false">)</mo> </mrow> </mrow> </semantics></math>. The extrapolated values of <math display="inline"><semantics> <msub> <mi>λ</mi> <mi>c</mi> </msub> </semantics></math> are <math display="inline"><semantics> <mrow> <mn>0.99</mn> <mo>,</mo> <mn>0.92</mn> <mo>,</mo> <mn>0.85</mn> <mo>,</mo> <mn>0.75</mn> </mrow> </semantics></math> for <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.05</mn> <mo>,</mo> <mn>0.25</mn> <mo>,</mo> <mn>0.5</mn> <mo>,</mo> <mn>1.0</mn> </mrow> </semantics></math> (strategy I) (<b>a</b>), and are <math display="inline"><semantics> <mrow> <mn>0.9</mn> <mo>,</mo> <mn>0.8</mn> <mo>,</mo> <mn>0.7</mn> <mo>,</mo> <mn>0.6</mn> </mrow> </semantics></math> for <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0.8</mn> <mo>,</mo> <mn>0.6</mn> <mo>,</mo> <mn>0.4</mn> <mo>,</mo> <mn>0.2</mn> </mrow> </semantics></math> (strategy II) (<b>b</b>).</p>
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<p>The first part of the email conversation between (late) Martin Shubik and BKC. Second part (email from BKC; appended to this part) is continued in <a href="#entropy-23-00254-f012" class="html-fig">Figure 12</a>. The precise suggestions made in this immediate response indicate Shubik’s prior plan for such ‘interdisciplinary institutes’ in economics.</p>
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<p>Email conversation in the end of 2016 between (late) Martin Shubik and BKC regarding interdisciplinary developments in economics and the possibility of setting up an International Center for Interdisciplinary Studies on Complexity in Social Sciences. This email from BKC was appended to the response email (<a href="#entropy-23-00254-f011" class="html-fig">Figure 11</a>) from Shubik. The (Yale) date and time mark in the mail-header (and that for BKC’s in <a href="#entropy-23-00254-f011" class="html-fig">Figure 11</a>, on arrival in Kolkata) indicate hardly any time gap between the two and the readiness with the precise suggestions indicate Shubik’s prior thinking in similar line.</p>
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24 pages, 8703 KiB  
Article
Impact of COVID-19 Induced Lockdown on Environmental Quality in Four Indian Megacities Using Landsat 8 OLI and TIRS-Derived Data and Mamdani Fuzzy Logic Modelling Approach
by Sasanka Ghosh, Arijit Das, Tusar Kanti Hembram, Sunil Saha, Biswajeet Pradhan and Abdullah M. Alamri
Sustainability 2020, 12(13), 5464; https://doi.org/10.3390/su12135464 - 7 Jul 2020
Cited by 53 | Viewed by 6725
Abstract
The deadly COVID-19 virus has caused a global pandemic health emergency. This COVID-19 has spread its arms to 200 countries globally and the megacities of the world were particularly affected with a large number of infections and deaths, which is still increasing day [...] Read more.
The deadly COVID-19 virus has caused a global pandemic health emergency. This COVID-19 has spread its arms to 200 countries globally and the megacities of the world were particularly affected with a large number of infections and deaths, which is still increasing day by day. On the other hand, the outbreak of COVID-19 has greatly impacted the global environment to regain its health. This study takes four megacities (Mumbai, Delhi, Kolkata, and Chennai) of India for a comprehensive assessment of the dynamicity of environmental quality resulting from the COVID-19 induced lockdown situation. An environmental quality index was formulated using remotely sensed biophysical parameters like Particulate Matters PM10 concentration, Land Surface Temperature (LST), Normalized Different Moisture Index (NDMI), Normalized Difference Vegetation Index (NDVI), and Normalized Difference Water Index (NDWI). Fuzzy-AHP, which is a Multi-Criteria Decision-Making process, has been utilized to derive the weight of the indicators and aggregation. The results showing that COVID-19 induced lockdown in the form of restrictions on human and vehicular movements and decreasing economic activities has improved the overall quality of the environment in the selected Indian cities for a short time span. Overall, the results indicate that lockdown is not only capable of controlling COVID-19 spread, but also helpful in minimizing environmental degradation. The findings of this study can be utilized for assessing and analyzing the impacts of COVID-19 induced lockdown situation on the overall environmental quality of other megacities of the world. Full article
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Graphical abstract

Graphical abstract
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<p>Location of the study areas.</p>
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<p>Workflow diagram of the present research.</p>
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<p>Changing pattern of PM<sub>10</sub> concentration in four megacities of India during the same season in 2019 of the pre-lockdown 2020; pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Changing pattern of land surface temperature in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020, and during the lockdown, 2020.</p>
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<p>Changing pattern of NDVI in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Changing pattern of NDWI in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Changing pattern of NDMI in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Changing pattern of the environmental quality index in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Spatial distribution of environmental quality vulnerability in four megacities of India during the same season in 2019 of the pre-lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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<p>Changing pattern of Environmental Quality Index (EQI) in four megacities of India during the same season in 2019 of the lockdown 2020, pre-lockdown, 2020 and during the lockdown, 2020.</p>
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14 pages, 1171 KiB  
Article
Handwritten Devanagari Character Recognition Using Layer-Wise Training of Deep Convolutional Neural Networks and Adaptive Gradient Methods
by Mahesh Jangid and Sumit Srivastava
J. Imaging 2018, 4(2), 41; https://doi.org/10.3390/jimaging4020041 - 13 Feb 2018
Cited by 73 | Viewed by 9707
Abstract
Handwritten character recognition is currently getting the attention of researchers because of possible applications in assisting technology for blind and visually impaired users, human–robot interaction, automatic data entry for business documents, etc. In this work, we propose a technique to recognize handwritten Devanagari [...] Read more.
Handwritten character recognition is currently getting the attention of researchers because of possible applications in assisting technology for blind and visually impaired users, human–robot interaction, automatic data entry for business documents, etc. In this work, we propose a technique to recognize handwritten Devanagari characters using deep convolutional neural networks (DCNN) which are one of the recent techniques adopted from the deep learning community. We experimented the ISIDCHAR database provided by (Information Sharing Index) ISI, Kolkata and V2DMDCHAR database with six different architectures of DCNN to evaluate the performance and also investigate the use of six recently developed adaptive gradient methods. A layer-wise technique of DCNN has been employed that helped to achieve the highest recognition accuracy and also get a faster convergence rate. The results of layer-wise-trained DCNN are favorable in comparison with those achieved by a shallow technique of handcrafted features and standard DCNN. Full article
(This article belongs to the Special Issue Document Image Processing)
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Figure 1
<p>The schematic diagram of deep convolutional neural network (DCNN) architecture.</p>
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<p>Layer-wise training of deep convolutional neural network.</p>
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<p>In this figure, we draw the recognition accuracy obtained with different network architectures on ISIDCHAR database at each epoch. The Adam optimizer was used.</p>
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<p>In this figure, we draw the recognition accuracy obtained with different network architectures on the ISIDCHAR database at each epoch. The RMSProp optimizer was used.</p>
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<p>In this figure, we draw the recognition accuracy obtained with NA-6 network architecture at different optimizers (<b>a</b>) SGD; (<b>b</b>) Adagrad; (<b>c</b>) Adam; (<b>d</b>) AdaDelta; (<b>e</b>) AdaMax; (<b>f</b>) RMSProp; on the ISIDCHAR database at each epoch.</p>
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