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# Covariations in ecological scaling laws fostered by eco-evolutionary dynamics - Zaoli - Giometto - Maritan - Rinaldo

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June 13 -June 24

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### Covariations in ecological scaling laws fostered by eco-evolutionary dynamics - Zaoli - Giometto - Maritan - Rinaldo

1. 1. Covariations in ecological scaling laws fostered by eco-evolutionary dynamics Silvia Zaoli Andrea Giometto Amos Maritan Andrea Rinaldo
2. 2. Silvia Zaoli - EPFL 2 Prob to find a species of mass m Community size-spec Kleiber’s law “Damuth’s law” Species-Area Ecological scaling laws A= area of the ecosystem S= # species in the ecosystem m = body mass n = abundance Recurrent power-law patterns in ecosystems: 0 1z  0  0  [0,1]  ( )p m m   0  Relationships between two quantities Probability distributions of a quantity |n m A m      b m   LINKED by consistency and by constraint on total metabolism     m  m  m  (( |) )p ms m n m  
3. 3. Silvia Zaoli - EPFL 3 Unified theoretical framework for ecological laws ( , | )P n m A How does this probability distribution look like? CONSISTENCY ENSURED Stochastic model of eco-evolutionary dynamics | ,n m A  ( | )s m A ( | )P m A Dynamics: birth, death, speciation Zaoli et al., Covariations in ecological scaling laws fostered by eco-evolutionary dynamics, Submitted Analytical characterization of the stationary state: 1 ( , | ) ( | , ) ( | ) | , P n m A P n m A P m A n n m G n m A           
4. 4. Silvia Zaoli - EPFL 4 Linking of ecological scaling laws ( , | )P n m A Scaling laws Linking relationships among scaling exponents Constraint on total metabolism TOT B A  Zaoli et al., Covariations in ecological scaling laws fostered by eco-evolutionary dynamics, Submitted • Ecological patterns are linked and they influence each other • Different values are possible for exponents, as long as the set (for a given ecosystem) satisfies the relationships Conclusions
5. 5. THANK YOU FOR YOUR ATTENTION Collaborators Andrea Rinaldo, Amos Maritan, Andrea Giometto Funding EPFL Suisse National Science Foundation (SNF)