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The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms

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Cited by:

  1. Elliott, Robert J.R. & Sun, Puyang & Xu, Qiqin, 2015. "Energy distribution and economic growth: An empirical test for China," Energy Economics, Elsevier, vol. 48(C), pages 24-31.
  2. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
  3. Tao, Yong & Lin, Li & Wang, Hanjie & Hou, Chen, 2023. "Superlinear growth and the fossil fuel energy sustainability dilemma: Evidence from six continents," Structural Change and Economic Dynamics, Elsevier, vol. 66(C), pages 39-51.
  4. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
  5. GANIO-MEGO, Joe, 2022. "Long term world human population, lifespan and GDP growth model based on the in-caput-evolution theory and its impact on the carrying capacity," OSF Preprints dm3jn, Center for Open Science.
  6. Hongguang Dong & Menghui Li & Ru Liu & Chensheng Wu & Jinshan Wu, 2017. "Allometric scaling in scientific fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 583-594, July.
  7. Scott G Ortman & José Lobo & Michael E Smith, 2020. "Cities: Complexity, theory and history," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-24, December.
  8. Husmann, Kai & Möhring, Bernhard, 2017. "Modelling the economically viable wood in the crown of European beech trees," Forest Policy and Economics, Elsevier, vol. 78(C), pages 67-77.
  9. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
  10. Jiao Li & Yongsheng Qian & Junwei Zeng & Fan Yin & Leipeng Zhu & Xiaoping Guang, 2020. "Research on the Influence of a High-Speed Railway on the Spatial Structure of the Western Urban Agglomeration Based on Fractal Theory—Taking the Chengdu–Chongqing Urban Agglomeration as an Example," Sustainability, MDPI, vol. 12(18), pages 1-13, September.
  11. Chen, Yanguang, 2017. "Multi-scaling allometric analysis for urban and regional development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 673-689.
  12. Lang, Wei & Long, Ying & Chen, Tingting & Li, Xun, 2019. "Reinvestigating China’s urbanization through the lens of allometric scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1429-1439.
  13. Elif Tekin & David Hunt & Mitchell G Newberry & Van M Savage, 2016. "Do Vascular Networks Branch Optimally or Randomly across Spatial Scales?," PLOS Computational Biology, Public Library of Science, vol. 12(11), pages 1-28, November.
  14. Karolina Ryś & Damian Chmura & Dariusz Prostański & Gabriela Woźniak, 2023. "Biomass Amounts of Spontaneous Vegetation on Post-Coal Mine Novel Ecosystem in Relation to Biotic Parameters," Energies, MDPI, vol. 16(22), pages 1-30, November.
  15. Christopher Watts & Nigel Gilbert, 2014. "Simulating Innovation," Books, Edward Elgar Publishing, number 13981.
  16. Liu, Chuang & Zhou, Wei-Xing & Yuan, Wei-Kang, 2010. "Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2675-2681.
  17. Lia Papadopoulos & Pablo Blinder & Henrik Ronellenfitsch & Florian Klimm & Eleni Katifori & David Kleinfeld & Danielle S Bassett, 2018. "Comparing two classes of biological distribution systems using network analysis," PLOS Computational Biology, Public Library of Science, vol. 14(9), pages 1-31, September.
  18. Wilfred M. Wollheim & Tamara K. Harms & Andrew L. Robison & Lauren E. Koenig & Ashley M. Helton & Chao Song & William B. Bowden & Jacques C. Finlay, 2022. "Superlinear scaling of riverine biogeochemical function with watershed size," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
  19. Torres-Rojo, Juan Manuel & Francisco-Cruz, Carlos Alberto & Islas-Aguirre, Juan Francisco & Ramírez-Fuentes, Grodecz Alfredo & Pérez-Sosa, Leonardo, 2020. "A scale invariant model for the expansion of agricultural land and government spending on the agricultural sector," Land Use Policy, Elsevier, vol. 92(C).
  20. Sachdeva, Vedant & Phillips, James C., 2016. "Oxygen channels and fractal wave–particle duality in the evolution of myoglobin and neuroglobin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 1-11.
  21. Boyang Qin & Bonnie L. Bassler, 2022. "Quorum-sensing control of matrix protein production drives fractal wrinkling and interfacial localization of Vibrio cholerae pellicles," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
  22. Peters, Ronny & Olagoke, Adewole & Berger, Uta, 2018. "A new mechanistic theory of self-thinning: Adaptive behaviour of plants explains the shape and slope of self-thinning trajectories," Ecological Modelling, Elsevier, vol. 390(C), pages 1-9.
  23. He, Ji-Huan, 2006. "An allometric scaling law between gray matter and white matter of cerebral cortex," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 864-867.
  24. Brolly, Matthew & Woodhouse, Iain H., 2012. "A “Matchstick Model” of microwave backscatter from a forest," Ecological Modelling, Elsevier, vol. 237, pages 74-87.
  25. Adam Conn & Arjun Chandrasekhar & Martin van Rongen & Ottoline Leyser & Joanne Chory & Saket Navlakha, 2019. "Network trade-offs and homeostasis in Arabidopsis shoot architectures," PLOS Computational Biology, Public Library of Science, vol. 15(9), pages 1-19, September.
  26. Ruzzenenti, F. & Basosi, R., 2009. "Complexity change and space symmetry rupture," Ecological Modelling, Elsevier, vol. 220(16), pages 1880-1885.
  27. Witting, Lars, 2017. "The natural selection of metabolism and mass selects allometric transitions from prokaryotes to mammals," Theoretical Population Biology, Elsevier, vol. 117(C), pages 23-42.
  28. Chen, Yanguang & Wang, Yihan & Li, Xijing, 2019. "Fractal dimensions derived from spatial allometric scaling of urban form," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 122-134.
  29. Jiang Zhang & Lingfei Wu, 2013. "Allometry and Dissipation of Ecological Flow Networks," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-8, September.
  30. Francisco Martínez, 2016. "Cities’ power laws: the stochastic scaling factor," Environment and Planning B, , vol. 43(2), pages 257-275, March.
  31. Chen, Yanguang, 2012. "The mathematical relationship between Zipf’s law and the hierarchical scaling law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3285-3299.
  32. Song, Dong-Ming & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2009. "Statistical properties of world investment networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2450-2460.
  33. Haiyang Wang & Hui Feng & Yanru Zhang & Hong Chen, 2014. "Contrasting Regeneration Strategies in Climax and Long-Lived Pioneer Tree Species in a Subtropical Forest," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-7, November.
  34. Yao, Chenggui & Sun, JianQiang & Jin, Jun & Shuai, Jianwei & Li, Xiang & Yao, Yuangen & Xu, Xufan, 2023. "The power law statistics of the spiking timing in a neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
  35. Antonio S Gliozzi & Caterina Guiot & Pier Paolo Delsanto, 2009. "A New Computational Tool for the Phenomenological Analysis of Multipassage Tumor Growth Curves," PLOS ONE, Public Library of Science, vol. 4(4), pages 1-7, April.
  36. Calabrese, Armando & Capece, Guendalina & Costa, Roberta & Di Pillo, Francesca & Giuffrida, Stefania, 2018. "A ‘power law’ based method to reduce size-related bias in indicators of knowledge performance: An application to university research assessment," Journal of Informetrics, Elsevier, vol. 12(4), pages 1263-1281.
  37. De Martino, S. & De Siena, S., 2012. "Allometry and growth: A unified view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4302-4307.
  38. GANIO-MEGO, Joe, 2022. "The instant and historical Preston curves: allometry quarter-power law valid for the humans," SocArXiv y8rbt, Center for Open Science.
  39. Tyson L Swetnam & Christopher D O’Connor & Ann M Lynch, 2016. "Tree Morphologic Plasticity Explains Deviation from Metabolic Scaling Theory in Semi-Arid Conifer Forests, Southwestern USA," PLOS ONE, Public Library of Science, vol. 11(7), pages 1-16, July.
  40. GANIO-MEGO, Joe, 2022. "Estimating the human equivalent weight by applying the quarter-power law of allometry to humanity," OSF Preprints 7eq6x, Center for Open Science.
  41. Luís M A Bettencourt & José Lobo & Deborah Strumsky & Geoffrey B West, 2010. "Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
  42. Dalgaard, Carl-Johan & Strulik, Holger, 2008. "Energy Distribution, Power Laws, and Economic Growth," Hannover Economic Papers (HEP) dp-385, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
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