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Why Do Cascade Sizes Follow a Power-Law?

Karol Wegrzycki, Piotr Sankowski, Andrzej Pacuk, Piotr Wygocki
<span title="">2017</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s4hirppq3jalbopssw22crbwwa" style="color: black;">Proceedings of the 26th International Conference on World Wide Web - WWW &#39;17</a> </i> &nbsp;
In this paper, we present the first theoretical proof that the sizes of cascades generated by the CGM follow the power-law distribution, which is consistent with multiple empirical analysis of the large  ...  Subsequently, we analyze the cascade generation model (CGM) introduced by Leskovec et al. [19]. Until now only empirical studies of this model were done.  ...  ., see Figure 1 of the Twitter cascade size distribution with power-law exponent γ = −2.3).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3038912.3052565">doi:10.1145/3038912.3052565</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/www/WegrzyckiSPW17.html">dblp:conf/www/WegrzyckiSPW17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iwfmrbmugbdmpngmp5lutxvie4">fatcat:iwfmrbmugbdmpngmp5lutxvie4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170712063219/http://papers.www2017.com.au.s3-website-ap-southeast-2.amazonaws.com/proceedings/p569.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d2/7a/d27af4c5f05c26be458b099b6651254a0107cc18.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3038912.3052565"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Power-law velocity distributions in granular gases

E. Ben-Naim, B. Machta, J. Machta
<span title="2005-08-16">2005</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nuk2stxzvvhf7ljciu325kj77m" style="color: black;">Physical Review E</a> </i> &nbsp;
Driven steady-states, with the same power-law tail and a cut-off can be maintained by injecting energy at a large velocity scale, which then cascades to smaller velocities where it is dissipated.  ...  We find that the kinetic theory of inelastic gases admits stationary solutions with a power-law velocity distribution, f(v) ~ v^(-sigma).  ...  In these steady-states energy is injected at a large velocity scale, cascades to small velocities, and is dissipated over a broad power-law range.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.72.021302">doi:10.1103/physreve.72.021302</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/16196551">pmid:16196551</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/shzwr7pofbag5kadx25snzjlgy">fatcat:shzwr7pofbag5kadx25snzjlgy</a> </span>
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Cascade fragmentation: deviation from power law in primary radiation damage

A. E. Sand, D. R. Mason, A. De Backer, X. Yi, S. L. Dudarev, K. Nordlund
<span title="2017-02-28">2017</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/47fhiribdjd2hfbrdntmipvfxu" style="color: black;">Materials Research Letters</a> </i> &nbsp;
The model predicts the statistics of sub-cascade splitting and the resulting distribution of primary defects extending over the entire range of cluster sizes, and is able to provide initial conditions  ...  We propose a model for the distribution of sizes of vacancy and self-interstitial defect clusters formed by high-energy impacts in tungsten, and provide new data from in situ ion irradiation experiments  ...  Acknowledgements The views and opinions expressed herein do not necessarily reflect those of the European Commission.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/21663831.2017.1294117">doi:10.1080/21663831.2017.1294117</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hqvdyw22xjejdikjddgnyewdsq">fatcat:hqvdyw22xjejdikjddgnyewdsq</a> </span>
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Robustness of power-law behavior in cascading line failure models

F. Sloothaak, S. C. Borst, B. Zwart
<span title="2017-11-20">2017</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ohq533ls6vaixdfq3gykolwu4a" style="color: black;">Stochastic Models</a> </i> &nbsp;
[12] [13] [14] suggests that there is a critical loading regime where the blackout size follows a power-law distribution, which indicates that the tail decay rate is much slower than exponential.  ...  We will show that these conditions result in power-law behavior for the exceedance probability. To do so, we leverage two basic asymptotic properties formulated in the following two lemmas.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/15326349.2017.1383165">doi:10.1080/15326349.2017.1383165</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xlntx2u2crawho4iarefaepw2y">fatcat:xlntx2u2crawho4iarefaepw2y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190428001254/https://pure.tue.nl/ws/files/93334047/Robustness_of_power_law_behavior_in_cascading_line_failure_models.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e4/db/e4dbda108b2950cda234bd9f40f99efb458885e5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/15326349.2017.1383165"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> tandfonline.com </button> </a>

Power law behavior and world system evolution: A millennial learning process

Tessaleno Devezas, George Modelski
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/x7e5sygtgzaf7iybkkdgge3qee" style="color: black;">Technological forecasting &amp; social change</a> </i> &nbsp;
250 generations, exhibits power law behavior, which is also known as self-organized criticality.  ...  The authors answer in the affirmative, demonstrating that world system evolution, viewed as a cascade of multilevel, nested, and self-similar, Darwinian-like processes ranging in "size" from one to over  ...  As we know, earthquakes occur in all sizes and scales, and the Gutenberg-Richter law (a power law) classically expresses the relationship between their size and frequency.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0040-1625(03)00011-8">doi:10.1016/s0040-1625(03)00011-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wrdrrau6nnasnet7xdc4uoyhdy">fatcat:wrdrrau6nnasnet7xdc4uoyhdy</a> </span>
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Power-laws in economy and finance: some ideas from physics [article]

Jean-Philippe Bouchaud
<span title="2000-08-07">2000</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We discuss several models in order to shed light on the origin of power-law distributions and power-law correlations in financial time series.  ...  A convincing 'microscopic' (i.e. trader based) model that explains this observation is however not yet available.  ...  These clusters do not have all the same size, i.e. do not contain the same number of operators.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0008103v1">arXiv:cond-mat/0008103v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vwq5f3qf6fglnecsoitubgtor4">fatcat:vwq5f3qf6fglnecsoitubgtor4</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-cond-mat0008103/cond-mat0008103.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a8/ce/a8ce675573590ffe8096c56847b2a64041e7327b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0008103v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Earthquake size distribution: Power-law with exponent ?

Yan Y. Kagan
<span title="">2010</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rmvuaqcjtbh4vnrw4nddv2rw7a" style="color: black;">Tectonophysics</a> </i> &nbsp;
These effects increase the estimate of the parameter beta of the power-law distribution of earthquake sizes.  ...  We propose that the widely observed and universal Gutenberg-Richter relation is a mathematical consequence of the critical branching nature of earthquake process in a brittle fracture environment.  ...  distribution is a power-law whose exponent has a universal value.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.tecto.2010.04.034">doi:10.1016/j.tecto.2010.04.034</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v7c6q3k7snfklf5zr4wkzunvla">fatcat:v7c6q3k7snfklf5zr4wkzunvla</a> </span>
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On Power Law Growth of Social Networks

Chengxi Zang, Peng Cui, Christos Faloutsos, Wenwu Zhu
<span title="2018-09-01">2018</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ht3yl6qfebhwrg7vrxkz4gxv3q" style="color: black;">IEEE Transactions on Knowledge and Data Engineering</a> </i> &nbsp;
We observe Power-Law growth dynamics for both nodes and links, a fact that breaks the textbook models featuring Sigmoid curves.  ...  We further formulate two stochastic generators, which interpret the growth of nodes and links through survival analysis and micro-level interactions within a social network respectively.  ...  (the time between zero-crossings follows power law with exponent -1.5).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tkde.2018.2801844">doi:10.1109/tkde.2018.2801844</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pzdlsxpsqzejtmtywemsdqhzcm">fatcat:pzdlsxpsqzejtmtywemsdqhzcm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181221035032/http://cuip.thumedialab.com:80/papers/PowerLawGrowth-TKDE.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/37/9d/379da4b810f62956797b57c34b5baee945b5885e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tkde.2018.2801844"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Power laws and self-organized criticality in theory and nature

Dimitrije Marković, Claudius Gros
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jpqyz5yp6vdibnpfaxmvgvtise" style="color: black;">Physics reports</a> </i> &nbsp;
Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of  ...  Previously, researchers surmised that a single general concept may act as a unifying underlying generative mechanism, with the theory of self organized criticality being a weighty contender.  ...  still follows a typical power-law scaling.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physrep.2013.11.002">doi:10.1016/j.physrep.2013.11.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jw4m7mcownffhiauop2ae6jjn4">fatcat:jw4m7mcownffhiauop2ae6jjn4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20161221134738/http://itp.uni-frankfurt.de/~gros/PDF/PAPERS/2014_Markovic_Gros_SOC_Phys_Rep.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/47/53/47533821afff99704cfba489a95c4e01eb4d7bf6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physrep.2013.11.002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Power law signature of media exposure in human response waiting time distributions

Riley Crane, Frank Schweitzer, Didier Sornette
<span title="2010-05-03">2010</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nuk2stxzvvhf7ljciu325kj77m" style="color: black;">Physical Review E</a> </i> &nbsp;
law ~ 1/t^(alpha) with alpha=2.5 +/- 0.1.  ...  We study the humanitarian response to the destruction brought by the tsunami generated by the Sumatra earthquake of December 26, 2004, as measured by donations, and find that it decays in time as a power  ...  In the critical regime where cascades of triggering occur, the power law decay in time of the rate of activity is renormalized by the social epidemic process ͓14͔.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.81.056101">doi:10.1103/physreve.81.056101</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/20866291">pmid:20866291</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/44zzs3kjhja3zpqb3kylh4e4qm">fatcat:44zzs3kjhja3zpqb3kylh4e4qm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220122020841/https://dspace.mit.edu/bitstream/handle/1721.1/58603/Crane-2010-Power%20law%20signature.pdf;jsessionid=910B2364CD7DE25E446C7A89F8963A59?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a9/21/a921df261f6b7286be67ba55f2b124c73552dcb8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.81.056101"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Power laws and critical fragmentation in global forests [article]

Leonardo A. Saravia, Santiago Raul Doyle, Benjamin Bond-Lamberty
<span title="2016-12-06">2016</span> <i title="Cold Spring Harbor Laboratory"> bioRxiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Here we studied the dynamics of forest patch sizes at a global level, examining signals of a critical transition from an unfragmented to a fragmented state, using the MODIS vegetation continuous field.  ...  sixteen years, to evaluate the closeness of each region to a fragmentation threshold.  ...  This work was partially supported by a grant from CONICET (PIO 144-20140100035-CO).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1101/091751">doi:10.1101/091751</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2enmyxjmvnh4po4xsraack55v4">fatcat:2enmyxjmvnh4po4xsraack55v4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190501011428/https://www.biorxiv.org/content/biorxiv/early/2018/04/08/091751.full.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c2/25/c225a9d1c1babfdb13466f4ecdf7430b417bef34.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1101/091751"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> biorxiv.org </button> </a>

Comments Regarding the Binary Power Law for Heterogeneity of Disease Incidence

W. W. Turechek, L. V. Madden, D. H. Gent, X.-M. Xu
<span title="">2011</span> <i title="Scientific Societies"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tp2drrqbpva77dti4sbrs77hue" style="color: black;">Phytopathology</a> </i> &nbsp;
Comments regarding the binary power law for heterogeneity of disease incidence. Phytopathology 101:1396-1407.  ...  The binary power law (BPL) has been successfully used to characterize heterogeneity (overdispersion or small-scale aggregation) of disease incidence for many plant pathosystems.  ...  law model. c Parameter a was calculated from A p , not A x as reported in text, based on the binary power law model fit provided in their utilized studies where the sampling unit size (n) was identified  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1094/phyto-04-11-0100">doi:10.1094/phyto-04-11-0100</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/21864088">pmid:21864088</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dwhxf4lyjbadpkpgdex745ypjq">fatcat:dwhxf4lyjbadpkpgdex745ypjq</a> </span>
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Power-laws in Economy and Finance: Some Ideas from Physics

Jean-Philippe Bouchaud
<span title="">2000</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tol7woxlqjeg5bmzadeg6qrg3e" style="color: black;">Social Science Research Network</a> </i> &nbsp;
We discuss several models in order to shed light on the origin of powerlaw distributions and power-law correlations in financial time series.  ...  A convincing 'microscopic' (i.e. trader based) model that explains this observation is however not yet available.  ...  These clusters do not have all the same size, i.e. do not contain the same number of operators.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2139/ssrn.240608">doi:10.2139/ssrn.240608</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fqgptdszczaaraqwyrxp5atan4">fatcat:fqgptdszczaaraqwyrxp5atan4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20061002164611/http://www.science-finance.fr/papers/0008103.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/44/f8/44f8f427bb404a2877e388358eea417b152d431e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2139/ssrn.240608"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ssrn.com </button> </a>

The Power of D-hops in Matching Power-Law Graphs [article]

Liren Yu, Jiaming Xu, Xiaojun Lin
<span title="2021-02-23">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This paper studies seeded graph matching for power-law graphs. Assume that two edge-correlated graphs are independently edge-sampled from a common parent graph with a power-law degree distribution.  ...  This significantly reduces the number of initial seeds needed to trigger a cascading process to match the rest of the graphs.  ...  The Power-Law D-hop (PLD) Algorithm In this section, we present our Power-Law D-hop (PLD) algorithm, shown in Algorithm 1 and provide the intuition why it works.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.12975v1">arXiv:2102.12975v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gyt6ih3lovcfpaq4zzuxuwlb4m">fatcat:gyt6ih3lovcfpaq4zzuxuwlb4m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210304073717/https://arxiv.org/pdf/2102.12975v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b1/a6/b1a6a9ef4466b6128644e41becd9b53354ea7521.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.12975v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Power laws and critical fragmentation in global forests

Leonardo A. Saravia, Santiago R. Doyle, Ben Bond-Lamberty
<span title="2018-12-10">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
Here we studied the dynamics of forest patch sizes at a global level, examining signals of a critical transition from an unfragmented to a fragmented state, using the MODIS vegetation continuous field.  ...  sixteen years, to evaluate the closeness of each region to a fragmentation threshold.  ...  This work was partially supported by a grant from CONICET (PIO 144-20140100035-CO) . B.B.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-018-36120-w">doi:10.1038/s41598-018-36120-w</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30532065">pmid:30532065</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC6288094/">pmcid:PMC6288094</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o6naz3ziljah3kr54yxijxnzfu">fatcat:o6naz3ziljah3kr54yxijxnzfu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191104115038/http://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC6288094&amp;blobtype=pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/42/9c42c6a858371a51b34af343f5d267f250fe29fe.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-018-36120-w"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6288094" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>
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