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The emergence of Self-Organized Sustainable Ecologies from Individual random interactions

The Importance of Being Discrete; Life Always Wins on the Surface. Irun Cohen ( immunology ),. Henri Atlan ( biology ),. J Goldenberg ( marketing ),. Hanoch Lavee ( desert/ ecology ). H and M Levy ( finance econo ),. D Mazursky ( Soc. Sci., Bus. Adm .). The emergence of

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The emergence of Self-Organized Sustainable Ecologies from Individual random interactions

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  1. The Importance of Being Discrete; Life Always Wins on the Surface Irun Cohen (immunology), Henri Atlan (biology), J Goldenberg (marketing), Hanoch Lavee (desert/ecology) H and M Levy (financeecono), D Mazursky (Soc. Sci.,Bus. Adm.) The emergence of Self-Organized Sustainable Ecologies from Individual random interactions

  2. Self-organized Resilient Ecological patterns COMPLEXITY EMERGENCE ? Individual plants

  3. # b a > 0 a < 0 Simplest model: A water ; B plants • A+B-> A+B+B l proliferation • B-> . m death • B+B-> B c competition WELL KNOWN Logistic Equation(Malthus, Verhulst. Lotka, Volterra, Eigen) b. = ( a l- m)b + Db D b – c b 2 almost all the social phenomena, …. obey the logistic growth. “Social dynamics and quantifying of social forces”E. W. Montroll I would urge that people be introduced to the logistic equation early in their education… Not only in research but also in the everyday world of politics and economics … Lord Robert May

  4. SAME SYSTEM Reality Models Discrete Individuals ContinuumDensity Complex ----------------------------------Trivial Localized patches-----------------------Spatial Uniformity Adaptive ----------------------------------Fixed dynamical law Development -----------------------------Decay Survival -----------------------------------Death Misfit was always assigned to the neglect of specific details. We show it was rather due to the neglect of the discreteness.Once taken in account => complex adaptive collective objects. emerge even in the worse conditions

  5. Multi-Agent Complex Systems Implications: one can prove rigorously that the DE prediction: Multi-Agent stochastic<a> << 0prediction Differential Eqations(continuum <a> << 0approx) Time Instead: emergence of singularspatio-temporal localizedcollective islands with adaptive self-serving behavior Is ALWAYS wrong ! => resilience and sustainabilityeven for <a> << 0!

  6. Collective Macroscopic Objects Discrete Individuals  microscopic noise Autocatalytic proliferation  amplification -Emergent Properties : Adaptability -Life “always” wins

  7. APPLICATION: Liberalization Experiment Poland Economy after 1989 GNP 89 90 91 92 1990 MACRO decay(90) 1991 MICRO growth(91) 1992MACRO growth (92) Complexity prediction Global analysis prediction

  8. fractal space distribution Prediction of campaign success (15/17) Goldenberg Air-view of a sub-urban neighborhood; crosses on the roofs indicate air-conditioner purchase Innovations Refuse to Die:-The Unforeseen Longevity of Society Fundamental Ideas. Mazurski. D., Goldberg. J. Barak.L. Louzoun. Y. Solomon. S. (2003) Technological forecasting and Social Change

  9. Individualfluctuations ofbbetween different sites Timefluctuations in the total b a b M. Levy S.S “Levy, Solomon and Levy'sMicroscopic Simulation of Financial Markets points us towards the future of financial economics.If we restrict ourselves to models which can be solved analytically, we will be modeling for our mutual entertainment, not to maximize explanatory or predictive power."HARRY M. MARKOWITZ, Nobel Laureate in Economics

  10. - Microscopic Immune Cells and Macroscopic HealthMICRO - Cells, Enzimes, Antigens, AntibodiesINTER -producing, destroying, changing state of cells/enzymesMACRO - immunity, health, infection, sickness, inflamation. REALITY Agents SIMULATION Proliferation and competition in discrete biological systems. Louzoun, Y., Atlan, H., Solomon. S., Cohen, I.R (2003) Bulletin of mathematical biology65(3) 375-396 Antigen-receptor degeneracy and immunological paradigms Irun R. Cohen,, Uri Hershberg, Sorin SolomonMolecular Immunology 40 (2004) 993–996 Acute Phase T-cells HIV

  11. - Microscopic seeds and Macroscopic Oases MICRO –individual plants     INTER –growth, water fixation, MACRO – bushes, vegetation patches N.M. Shnerb, P. Sarah, H. Lavee, and S. Solomon Reactive glass and vegetation patterns Phys. Rev. Lett. 90, 38101 (2003) Semi-arid; patchy Desert;uniform Mediterranean; uniform

  12. Vegetation in semi-arid zones Two coupled reaction-diffusion systems with slow and fast reactants may support an instability at finite wavelength. TURING PATTERNS

  13. When the average naïve growth rate is negative -> discreteness effects -> still survival • But no PDE

  14. NO!

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