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A General Model for the Origin of Allometric Scaling Laws in Biology

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  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. Sorrell, Steve, 2015. "Reducing energy demand: A review of issues, challenges and approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 47(C), pages 74-82.
  3. Carletti, Timoteo & Righi, Simone, 2010. "Weighted Fractal Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2134-2142.
  4. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
  5. 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.
  6. Carl‐Johan Dalgaard & Casper Worm Hansen & Holger Strulik, 2021. "Fetal origins—A life cycle model of health and aging from conception to death," Health Economics, John Wiley & Sons, Ltd., vol. 30(6), pages 1276-1290, June.
  7. Parsons, Russell A. & Mell, William E. & McCauley, Peter, 2011. "Linking 3D spatial models of fuels and fire: Effects of spatial heterogeneity on fire behavior," Ecological Modelling, Elsevier, vol. 222(3), pages 679-691.
  8. Stephen, Damian G. & Dixon, James A., 2011. "Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 160-168.
  9. Savina, Marie & Ménesguen, Alain, 2007. "The growth of the banded carpet shell (Paphia rhomboïdes) in a contrasted region, the English Channel (Western Europe): A modelling study," Ecological Modelling, Elsevier, vol. 205(1), pages 39-51.
  10. Giannetti, Biagio F. & Marcilio, Maria De Fatima D.F.B. & Coscieme, Luca & Agostinho, Feni & Liu, Gengyuan & Almeida, Cecilia M.V.B., 2019. "Howard Odum’s “Self-organization, transformity and information”: Three decades of empirical evidence," Ecological Modelling, Elsevier, vol. 407(C), pages 1-1.
  11. Ma, Yuanyuan & Li, Shibin & Zhang, Ligang & Liu, Songze & Liu, Zhaoyi & Li, Hao & Shi, Erxiu & Liu, Xuemei & Liu, Hongliang, 2020. "Analysis on the heat extraction performance of multi-well injection enhanced geothermal system based on leaf-like bifurcated fracture networks," Energy, Elsevier, vol. 213(C).
  12. Rajan Varadarajan, 2020. "Advancing theory in marketing: insights from conversations in other disciplines," AMS Review, Springer;Academy of Marketing Science, vol. 10(1), pages 73-84, June.
  13. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
  14. Emanuele Strano & Vishal Sood, 2016. "Rich and Poor Cities in Europe. An Urban Scaling Approach to Mapping the European Economic Transition," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-8, August.
  15. Makriyannis, Christos, 2022. "The foundational economy-as-an-organism assumption of ecological economics: Is it scientifically useful?," Ecological Economics, Elsevier, vol. 200(C).
  16. Diego Rybski & Elsa Arcaute & Michael Batty, 2019. "Urban scaling laws," Environment and Planning B, , vol. 46(9), pages 1605-1610, November.
  17. 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.
  18. Pauliuk, Stefan & Hertwich, Edgar G., 2015. "Socioeconomic metabolism as paradigm for studying the biophysical basis of human societies," Ecological Economics, Elsevier, vol. 119(C), pages 83-93.
  19. Rossana Mastrandrea & Rob ter Burg & Yuli Shan & Klaus Hubacek & Franco Ruzzenenti, 2022. "Scaling laws in global corporations as a benchmarking approach to assess environmental performance," Papers 2206.03148, arXiv.org, revised Jul 2023.
  20. Watanabe, Hayafumi & Takayasu, Hideki & Takayasu, Misako, 2013. "Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 741-756.
  21. Yi, Eojin & Ahn, Kwangwon & Choi, M.Y., 2022. "Cryptocurrency: Not far from equilibrium," Technological Forecasting and Social Change, Elsevier, vol. 177(C).
  22. Gavrikov, Vladimir L., 2015. "Whether respiration in trees can scale isometrically with bole surface area: A test of hypothesis," Ecological Modelling, Elsevier, vol. 312(C), pages 318-321.
  23. Rajaram, R. & Castellani, B., 2016. "An entropy based measure for comparing distributions of complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 35-43.
  24. Klement Stojanovski & Ioana Gheorghe & Peter Lenart & Anne Lanjuin & William B. Mair & Benjamin D. Towbin, 2023. "Maintenance of appropriate size scaling of the C. elegans pharynx by YAP-1," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
  25. Akhundjanov, Sherzod B. & Devadoss, Stephen & Luckstead, Jeff, 2017. "Size distribution of national CO2 emissions," Energy Economics, Elsevier, vol. 66(C), pages 182-193.
  26. Ioan Dutcă & Petru Tudor Stăncioiu & Ioan Vasile Abrudan & Florin Ioraș, 2018. "Using clustered data to develop biomass allometric models: The consequences of ignoring the clustered data structure," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-17, August.
  27. Pierpaolo Andriani & Bill McKelvey, 2007. "Beyond Gaussian averages: redirecting international business and management research toward extreme events and power laws," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 38(7), pages 1212-1230, December.
  28. 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.
  29. Lars Mewes, 2018. "Scaling of Atypical Knowledge Combinations in American Metropolitan Areas from 1836 to 2010," Papers in Evolutionary Economic Geography (PEEG) 1841, Utrecht University, Department of Human Geography and Spatial Planning, Group Economic Geography, revised Nov 2018.
  30. Wang, Cheng-Jun & Wu, Lingfei, 2016. "The scaling of attention networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 196-204.
  31. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
  32. Bernhard K. Meister & Henry C. W. Price, 2022. "Darwin Among the Cryptocurrencies," Papers 2202.10340, arXiv.org.
  33. Marc Barthélemy & Alessandro Flammini, 2009. "Co-evolution of Density and Topology in a Simple Model of City Formation," Networks and Spatial Economics, Springer, vol. 9(3), pages 401-425, September.
  34. Ogawa, Kazuharu, 2017. "Modeling age-related stand respiration changes in forest stands under the self-thinning law," Ecological Modelling, Elsevier, vol. 349(C), pages 62-68.
  35. 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.
  36. West, Bruce J. & West, Damien, 2011. "Are allometry and macroevolution related?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1733-1736.
  37. Christos Makriyannis, 2023. "How the Biophysical Paradigm Impedes the Scientific Advancement of Ecological Economics: A Transdisciplinary Analysis," Sustainability, MDPI, vol. 15(23), pages 1-24, November.
  38. Peiteng Shi & Jiang Zhang & Bo Yang & Jingfei Luo, 2014. "Hierarchicality of Trade Flow Networks Reveals Complexity of Products," Papers 1401.3103, arXiv.org.
  39. Megan Konar & Xiaowen Lin & Benjamin Ruddell & Murugesu Sivapalan, 2018. "Scaling properties of food flow networks," PLOS ONE, Public Library of Science, vol. 13(7), pages 1-21, July.
  40. Hendriks, A. Jan, 2007. "The power of size: A meta-analysis reveals consistency of allometric regressions," Ecological Modelling, Elsevier, vol. 205(1), pages 196-208.
  41. 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.
  42. Hennessy, David A., 2006. "Feeding and the Equilibrium Feeder Animal Price-Weight Schedule," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 31(2), pages 1-23, August.
  43. Linqi Shui & Zhongkai Hu & Hang Song & Zhi Zhai & Jiatao Wang, 2023. "Study on Flow and Heat Transfer Characteristics and Anti-Clogging Performance of Tree-Like Branching Microchannels," Energies, MDPI, vol. 16(14), pages 1-22, July.
  44. Wilson Lara & Stella Bogino & Felipe Bravo, 2018. "Multilevel analysis of dendroclimatic series with the R-package BIOdry," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-23, May.
  45. Carl-Johan Dalgaard & Holger Strulik, 2015. "The physiological foundations of the wealth of nations," Journal of Economic Growth, Springer, vol. 20(1), pages 37-73, March.
  46. Kansal, Anuraag R & Torquato, Salvatore, 2001. "Globally and locally minimal weight spanning tree networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 601-619.
  47. Chen, Yanguang, 2015. "The distance-decay function of geographical gravity model: Power law or exponential law?," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 174-189.
  48. Jérôme Chave & Simon Levin, 2003. "Scale and Scaling in Ecological and Economic Systems," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 527-557, December.
  49. Ogawa, Kazuharu, 2018. "Mathematical consideration of the age-related decline in leaf biomass in forest stands under the self-thinning law," Ecological Modelling, Elsevier, vol. 372(C), pages 64-69.
  50. Christopher Watts & Nigel Gilbert, 2014. "Simulating Innovation," Books, Edward Elgar Publishing, number 13981.
  51. 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.
  52. J. Sylvan Katz & Guillermo Armando Ronda-Pupo, 2019. "Cooperation, scale-invariance and complex innovation systems: a generalization," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(2), pages 1045-1065, November.
  53. Xu, Meng & Jiang, Mengke & Wang, Hua-Feng, 2021. "Integrating metabolic scaling variation into the maximum entropy theory of ecology explains Taylor's law for individual metabolic rate in tropical forests," Ecological Modelling, Elsevier, vol. 455(C).
  54. He, Ji-Huan, 2008. "Fatalness of virus depends upon its cell fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1390-1393.
  55. Ogawa, Kazuharu, 2009. "Mathematical analysis of change in forest carbon use efficiency with stand development: A case study on Abies veitchii Lindl," Ecological Modelling, Elsevier, vol. 220(11), pages 1419-1424.
  56. James B. Glattfelder & Thomas Bisig & Richard B. Olsen, 2014. "R&D Strategy Document," Papers 1405.6027, arXiv.org.
  57. Liu, Ningyin & Zhang, Yan & Fath, Brian D., 2021. "The material metabolism characteristics and growth patterns of the central cities of China's Beijing-Tianjin-Hebei region," Ecological Modelling, Elsevier, vol. 448(C).
  58. Seuront, Laurent & Seuront-Scheffbuch, Dorine, 2018. "Size rules life, but does it in the assessment of medical vigilance best practice? Towards a testable hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 707-715.
  59. Brinkley, Catherine & Raj, Subhashni, 2022. "Perfusion and urban thickness: The shape of cities," Land Use Policy, Elsevier, vol. 115(C).
  60. Jay Lee & Xiuli Zhang, 2021. "Is there really a proportional relationship between VO2max and body weight? A review article," PLOS ONE, Public Library of Science, vol. 16(12), pages 1-13, December.
  61. 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).
  62. Pahl, Cameron C. & Ruedas, Luis A., 2021. "Carnosaurs as Apex Scavengers: Agent-based simulations reveal possible vulture analogues in late Jurassic Dinosaurs," Ecological Modelling, Elsevier, vol. 458(C).
  63. Michail Fragkias & José Lobo & Deborah Strumsky & Karen C Seto, 2013. "Does Size Matter? Scaling of CO2 Emissions and U.S. Urban Areas," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-8, June.
  64. Hsiehchen, David & Espinoza, Magdalena & Hsieh, Antony, 2016. "Hypoallometric scaling in international collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 188-193.
  65. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
  66. Ribeiro, Fabiano L. & Ribeiro, Kayo N., 2015. "A one dimensional model of population growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 201-210.
  67. Gascuel, Didier & Morissette, Lyne & Palomares, Maria Lourdes D. & Christensen, Villy, 2008. "Trophic flow kinetics in marine ecosystems: Toward a theoretical approach to ecosystem functioning," Ecological Modelling, Elsevier, vol. 217(1), pages 33-47.
  68. Ireland Vernon & Gorod Alex, 2016. "Contribution of Complex Systems to Entrepreneurship," Entrepreneurship Research Journal, De Gruyter, vol. 6(1), pages 1-41, January.
  69. Mitchell G Newberry & Daniel B Ennis & Van M Savage, 2015. "Testing Foundations of Biological Scaling Theory Using Automated Measurements of Vascular Networks," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-18, August.
  70. Milotti, Edoardo & Vyshemirsky, Vladislav & Stella, Sabrina & Dogo, Federico & Chignola, Roberto, 2017. "Analysis of the fluctuations of the tumour/host interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 587-594.
  71. Gabryś, Elżbieta & Rybaczuk, Marek & Kędzia, Alicja, 2006. "Blood flow simulation through fractal models of circulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 1-7.
  72. 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.
  73. Santos, M.R.F. & Gomes, M.A.F., 2020. "A heuristic model for the scaling linguistic diversity-area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
  74. Grimm, Volker & Berger, Uta, 2016. "Structural realism, emergence, and predictions in next-generation ecological modelling: Synthesis from a special issue," Ecological Modelling, Elsevier, vol. 326(C), pages 177-187.
  75. Karl J Kaiyala, 2014. "Mathematical Model for the Contribution of Individual Organs to Non-Zero Y-Intercepts in Single and Multi-Compartment Linear Models of Whole-Body Energy Expenditure," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-10, July.
  76. J. B. Glattfelder & A. Dupuis & R. B. Olsen, 2010. "Patterns in high-frequency FX data: discovery of 12 empirical scaling laws," Quantitative Finance, Taylor & Francis Journals, vol. 11(4), pages 599-614.
  77. Zachary P Neal, 2018. "The urban metabolism of airline passengers: Scaling and sustainability," Urban Studies, Urban Studies Journal Limited, vol. 55(1), pages 212-225, January.
  78. 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.
  79. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
  80. Xia, Shujuan & Yamakawa, Takashi & Zhang, Chongliang & Ren, Yiping, 2021. "A multispecies size-structured matrix model incorporating seasonal dynamics," Ecological Modelling, Elsevier, vol. 453(C).
  81. Dion R J O’Neale & Shaun C Hendy, 2012. "Power Law Distributions of Patents as Indicators of Innovation," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-9, December.
  82. Brolly, Matthew & Woodhouse, Iain H., 2012. "A “Matchstick Model” of microwave backscatter from a forest," Ecological Modelling, Elsevier, vol. 237, pages 74-87.
  83. Chen, Shi & Bao, Forrest Sheng, 2015. "Linking body size and energetics with predation strategies: A game theoretic modeling framework," Ecological Modelling, Elsevier, vol. 316(C), pages 81-86.
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  85. Harris, Lora A. & Brush, Mark J., 2012. "Bridging the gap between empirical and mechanistic models of aquatic primary production with the metabolic theory of ecology: An example from estuarine ecosystems," Ecological Modelling, Elsevier, vol. 233(C), pages 83-89.
  86. Arbesman, Samuel & Christakis, Nicholas A., 2011. "Scaling of prosocial behavior in cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2155-2159.
  87. Eva Maria Griebeler & Nicole Klein & P Martin Sander, 2013. "Aging, Maturation and Growth of Sauropodomorph Dinosaurs as Deduced from Growth Curves Using Long Bone Histological Data: An Assessment of Methodological Constraints and Solutions," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-17, June.
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  89. Carl-Johan Dalgaard & Casper Worm Hansen & Holger Strulik, 2017. "Accounting for Fetal Origins: Health Capital vs. Health Deficits," Discussion Papers 17-11, University of Copenhagen. Department of Economics.
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