SlideShare a Scribd company logo
Covariations in ecological scaling
laws
fostered by eco-evolutionary
dynamics
Silvia Zaoli
Andrea Giometto
Amos Maritan
Andrea Rinaldo
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  
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
   
 
 



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
THANK YOU FOR
YOUR ATTENTION
Collaborators Andrea Rinaldo, Amos Maritan, Andrea Giometto
Funding
EPFL
Suisse National Science
Foundation (SNF)

More Related Content

What's hot

Ecosystems Review
Ecosystems ReviewEcosystems Review
Ecosystems Review
Andrew Julian
 
Ii 3 magn_mooney
Ii 3 magn_mooneyIi 3 magn_mooney
Ii 3 magn_mooney
BabyJaneAnay
 
2.1 species and populations notes
2.1 species and populations notes2.1 species and populations notes
2.1 species and populations notes
Brad Kremer
 
System & models one mark questions
System & models one mark questionsSystem & models one mark questions
System & models one mark questions
GURU CHARAN KUMAR
 
The role of plant interactions in restoring arid ecosystems
The role of plant interactions in restoring arid ecosystemsThe role of plant interactions in restoring arid ecosystems
The role of plant interactions in restoring arid ecosystems
Amanda Liczner
 
1 s2.0-urbag ecoservices concept
1 s2.0-urbag ecoservices concept1 s2.0-urbag ecoservices concept
1 s2.0-urbag ecoservices concept
Siti Luthfillah
 
Improved N Retention Through Plant-Microbe Interactions
Improved N Retention Through Plant-Microbe InteractionsImproved N Retention Through Plant-Microbe Interactions
Improved N Retention Through Plant-Microbe Interactions
National Institute of Food and Agriculture
 

What's hot (7)

Ecosystems Review
Ecosystems ReviewEcosystems Review
Ecosystems Review
 
Ii 3 magn_mooney
Ii 3 magn_mooneyIi 3 magn_mooney
Ii 3 magn_mooney
 
2.1 species and populations notes
2.1 species and populations notes2.1 species and populations notes
2.1 species and populations notes
 
System & models one mark questions
System & models one mark questionsSystem & models one mark questions
System & models one mark questions
 
The role of plant interactions in restoring arid ecosystems
The role of plant interactions in restoring arid ecosystemsThe role of plant interactions in restoring arid ecosystems
The role of plant interactions in restoring arid ecosystems
 
1 s2.0-urbag ecoservices concept
1 s2.0-urbag ecoservices concept1 s2.0-urbag ecoservices concept
1 s2.0-urbag ecoservices concept
 
Improved N Retention Through Plant-Microbe Interactions
Improved N Retention Through Plant-Microbe InteractionsImproved N Retention Through Plant-Microbe Interactions
Improved N Retention Through Plant-Microbe Interactions
 

Viewers also liked

Emergence of elevated levels of multiple infection in spatial host-virus dyna...
Emergence of elevated levels of multiple infection in spatial host-virus dyna...Emergence of elevated levels of multiple infection in spatial host-virus dyna...
Emergence of elevated levels of multiple infection in spatial host-virus dyna...
Lake Como School of Advanced Studies
 
A quantitative view on mRNA translation: the relative role of initiation and ...
A quantitative view on mRNA translation: the relative role of initiation and ...A quantitative view on mRNA translation: the relative role of initiation and ...
A quantitative view on mRNA translation: the relative role of initiation and ...
Lake Como School of Advanced Studies
 
Evolution of transcription factor families along the human lineage
Evolution of transcription factor families along the human lineageEvolution of transcription factor families along the human lineage
Evolution of transcription factor families along the human lineage
Lake Como School of Advanced Studies
 
How can cells precisely measure time-varying external signals? - Giulia Malaguti
How can cells precisely measure time-varying external signals? - Giulia MalagutiHow can cells precisely measure time-varying external signals? - Giulia Malaguti
How can cells precisely measure time-varying external signals? - Giulia Malaguti
Lake Como School of Advanced Studies
 
Sticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
Sticky bacteria and the growth of biofilms on surfaces - Rosalind AllenSticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
Sticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
Lake Como School of Advanced Studies
 
Stacking the odds for Golgi cisternal maturation - Somya mani
Stacking the odds for Golgi cisternal maturation - Somya maniStacking the odds for Golgi cisternal maturation - Somya mani
Stacking the odds for Golgi cisternal maturation - Somya mani
Lake Como School of Advanced Studies
 
Stochastic gene expression in growing cell populations - Philipp Thomas
Stochastic gene expression in growing cell populations - Philipp ThomasStochastic gene expression in growing cell populations - Philipp Thomas
Stochastic gene expression in growing cell populations - Philipp Thomas
Lake Como School of Advanced Studies
 
Genetic switch between redundancy and synergy in a multicellular gene express...
Genetic switch between redundancy and synergy in a multicellular gene express...Genetic switch between redundancy and synergy in a multicellular gene express...
Genetic switch between redundancy and synergy in a multicellular gene express...
Lake Como School of Advanced Studies
 
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
Lake Como School of Advanced Studies
 
Gene expression noise, regulation, and noise propagation - Erik van Nimwegen
Gene expression noise, regulation, and noise propagation - Erik van NimwegenGene expression noise, regulation, and noise propagation - Erik van Nimwegen
Gene expression noise, regulation, and noise propagation - Erik van Nimwegen
Lake Como School of Advanced Studies
 
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
Lake Como School of Advanced Studies
 
Exploratory Adaptation in Large Random Networks - Hallel Schreier and Naama ...
Exploratory Adaptation in Large Random Networks - Hallel Schreier  and Naama ...Exploratory Adaptation in Large Random Networks - Hallel Schreier  and Naama ...
Exploratory Adaptation in Large Random Networks - Hallel Schreier and Naama ...
Lake Como School of Advanced Studies
 
Reciprocity between robustness and plasticity as a universal quantitative law...
Reciprocity between robustness and plasticity as a universal quantitative law...Reciprocity between robustness and plasticity as a universal quantitative law...
Reciprocity between robustness and plasticity as a universal quantitative law...
Lake Como School of Advanced Studies
 
Exploratory Adaptation in Random Networks - Naama Brenner
Exploratory Adaptation in Random Networks - Naama Brenner Exploratory Adaptation in Random Networks - Naama Brenner
Exploratory Adaptation in Random Networks - Naama Brenner
Lake Como School of Advanced Studies
 
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav SinhaDECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
Lake Como School of Advanced Studies
 
Modeling plant associated nitrogen cycling bacteria - Eric Hester
Modeling plant associated nitrogen cycling bacteria - Eric HesterModeling plant associated nitrogen cycling bacteria - Eric Hester
Modeling plant associated nitrogen cycling bacteria - Eric Hester
Lake Como School of Advanced Studies
 
How do antibiotics work? …. and can physicists help? - Rosalind Allen
How do antibiotics work? …. and can physicists help? - Rosalind AllenHow do antibiotics work? …. and can physicists help? - Rosalind Allen
How do antibiotics work? …. and can physicists help? - Rosalind Allen
Lake Como School of Advanced Studies
 
Random graph model for citation networks - Alessandro Garavaglia
Random graph model for citation networks - Alessandro GaravagliaRandom graph model for citation networks - Alessandro Garavaglia
Random graph model for citation networks - Alessandro Garavaglia
Lake Como School of Advanced Studies
 
Entropic effects in chromatin folding - Alberto Colliva
Entropic effects in chromatin folding - Alberto CollivaEntropic effects in chromatin folding - Alberto Colliva
Entropic effects in chromatin folding - Alberto Colliva
Lake Como School of Advanced Studies
 
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
Lake Como School of Advanced Studies
 

Viewers also liked (20)

Emergence of elevated levels of multiple infection in spatial host-virus dyna...
Emergence of elevated levels of multiple infection in spatial host-virus dyna...Emergence of elevated levels of multiple infection in spatial host-virus dyna...
Emergence of elevated levels of multiple infection in spatial host-virus dyna...
 
A quantitative view on mRNA translation: the relative role of initiation and ...
A quantitative view on mRNA translation: the relative role of initiation and ...A quantitative view on mRNA translation: the relative role of initiation and ...
A quantitative view on mRNA translation: the relative role of initiation and ...
 
Evolution of transcription factor families along the human lineage
Evolution of transcription factor families along the human lineageEvolution of transcription factor families along the human lineage
Evolution of transcription factor families along the human lineage
 
How can cells precisely measure time-varying external signals? - Giulia Malaguti
How can cells precisely measure time-varying external signals? - Giulia MalagutiHow can cells precisely measure time-varying external signals? - Giulia Malaguti
How can cells precisely measure time-varying external signals? - Giulia Malaguti
 
Sticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
Sticky bacteria and the growth of biofilms on surfaces - Rosalind AllenSticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
Sticky bacteria and the growth of biofilms on surfaces - Rosalind Allen
 
Stacking the odds for Golgi cisternal maturation - Somya mani
Stacking the odds for Golgi cisternal maturation - Somya maniStacking the odds for Golgi cisternal maturation - Somya mani
Stacking the odds for Golgi cisternal maturation - Somya mani
 
Stochastic gene expression in growing cell populations - Philipp Thomas
Stochastic gene expression in growing cell populations - Philipp ThomasStochastic gene expression in growing cell populations - Philipp Thomas
Stochastic gene expression in growing cell populations - Philipp Thomas
 
Genetic switch between redundancy and synergy in a multicellular gene express...
Genetic switch between redundancy and synergy in a multicellular gene express...Genetic switch between redundancy and synergy in a multicellular gene express...
Genetic switch between redundancy and synergy in a multicellular gene express...
 
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
ELUDING CATASTROPHIC SHIFTS - Paula Villa Martín, Juan A. Bonachela,, Simon A...
 
Gene expression noise, regulation, and noise propagation - Erik van Nimwegen
Gene expression noise, regulation, and noise propagation - Erik van NimwegenGene expression noise, regulation, and noise propagation - Erik van Nimwegen
Gene expression noise, regulation, and noise propagation - Erik van Nimwegen
 
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
A generalized receptor law governs phototaxis in the phytoplankton Euglena gr...
 
Exploratory Adaptation in Large Random Networks - Hallel Schreier and Naama ...
Exploratory Adaptation in Large Random Networks - Hallel Schreier  and Naama ...Exploratory Adaptation in Large Random Networks - Hallel Schreier  and Naama ...
Exploratory Adaptation in Large Random Networks - Hallel Schreier and Naama ...
 
Reciprocity between robustness and plasticity as a universal quantitative law...
Reciprocity between robustness and plasticity as a universal quantitative law...Reciprocity between robustness and plasticity as a universal quantitative law...
Reciprocity between robustness and plasticity as a universal quantitative law...
 
Exploratory Adaptation in Random Networks - Naama Brenner
Exploratory Adaptation in Random Networks - Naama Brenner Exploratory Adaptation in Random Networks - Naama Brenner
Exploratory Adaptation in Random Networks - Naama Brenner
 
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav SinhaDECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
DECISION STRATEGIES FOR COMPETING PHAGE INFECTIONS - Vaibhhav Sinha
 
Modeling plant associated nitrogen cycling bacteria - Eric Hester
Modeling plant associated nitrogen cycling bacteria - Eric HesterModeling plant associated nitrogen cycling bacteria - Eric Hester
Modeling plant associated nitrogen cycling bacteria - Eric Hester
 
How do antibiotics work? …. and can physicists help? - Rosalind Allen
How do antibiotics work? …. and can physicists help? - Rosalind AllenHow do antibiotics work? …. and can physicists help? - Rosalind Allen
How do antibiotics work? …. and can physicists help? - Rosalind Allen
 
Random graph model for citation networks - Alessandro Garavaglia
Random graph model for citation networks - Alessandro GaravagliaRandom graph model for citation networks - Alessandro Garavaglia
Random graph model for citation networks - Alessandro Garavaglia
 
Entropic effects in chromatin folding - Alberto Colliva
Entropic effects in chromatin folding - Alberto CollivaEntropic effects in chromatin folding - Alberto Colliva
Entropic effects in chromatin folding - Alberto Colliva
 
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
Kuramoto dynamics, glassy synchronization and rare regions in the human conne...
 

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

Recent theories on community structure and functioning
Recent theories on community structure and functioningRecent theories on community structure and functioning
Recent theories on community structure and functioning
Samir Suweis
 
PHD_Final_exam_AlexandraM_Liguori
PHD_Final_exam_AlexandraM_LiguoriPHD_Final_exam_AlexandraM_Liguori
PHD_Final_exam_AlexandraM_Liguori
Alexandra M. Liguori, Ph.D.
 
Theoretical ecology
Theoretical ecologyTheoretical ecology
Theoretical ecology
Mai Ngoc Duc
 
Environmentalism(s)
Environmentalism(s)Environmentalism(s)
Environmentalism(s)
Christopher Rice
 
Metadynamics
MetadynamicsMetadynamics
Metadynamics
vishal kumar
 
A statistical physics approach to system biology
A statistical physics approach to system biologyA statistical physics approach to system biology
A statistical physics approach to system biology
Samir Suweis
 
PS 240 Environmentalism Fall 2007
PS 240 Environmentalism Fall 2007PS 240 Environmentalism Fall 2007
PS 240 Environmentalism Fall 2007
Christopher Rice
 
EEB 321 Community Ecology: phylogenetics lecture
EEB 321 Community Ecology: phylogenetics lecture EEB 321 Community Ecology: phylogenetics lecture
EEB 321 Community Ecology: phylogenetics lecture
Rachel Germain
 
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCHNEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
Cristina Balari
 
Form, function, and evolution of living organisms
Form, function, and evolution of living organismsForm, function, and evolution of living organisms
Form, function, and evolution of living organisms
José Luis Moreno Garvayo
 
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
paperpublications3
 
Pelorosso, Gobattoni, Monaco & Leone - Input2012
Pelorosso, Gobattoni, Monaco & Leone - Input2012Pelorosso, Gobattoni, Monaco & Leone - Input2012
Pelorosso, Gobattoni, Monaco & Leone - Input2012
INPUT 2012
 
Econosystemics
EconosystemicsEconosystemics
Econosystemics
Bryan Long
 
American Statistical Association October 23 2009 Presentation Part 1
American Statistical Association October 23 2009 Presentation Part 1American Statistical Association October 23 2009 Presentation Part 1
American Statistical Association October 23 2009 Presentation Part 1
Double Check ĆŐNSULTING
 
Complexity of the water-Food-Energy Nexus in ISIE 2015
Complexity of the water-Food-Energy Nexus in ISIE 2015Complexity of the water-Food-Energy Nexus in ISIE 2015
Complexity of the water-Food-Energy Nexus in ISIE 2015
Cristina Madrid Lopez
 
Ecosystem Concepts
Ecosystem ConceptsEcosystem Concepts
Soil dyn __2
Soil dyn __2Soil dyn __2
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
pdalby
 
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
paperpublications3
 
02.07.conference martinez alier ceecec
02.07.conference martinez alier ceecec02.07.conference martinez alier ceecec
02.07.conference martinez alier ceecec
environmentalconflicts
 

Similar to Covariations in ecological scaling laws fostered by eco-evolutionary dynamics - Zaoli - Giometto - Maritan - Rinaldo (20)

Recent theories on community structure and functioning
Recent theories on community structure and functioningRecent theories on community structure and functioning
Recent theories on community structure and functioning
 
PHD_Final_exam_AlexandraM_Liguori
PHD_Final_exam_AlexandraM_LiguoriPHD_Final_exam_AlexandraM_Liguori
PHD_Final_exam_AlexandraM_Liguori
 
Theoretical ecology
Theoretical ecologyTheoretical ecology
Theoretical ecology
 
Environmentalism(s)
Environmentalism(s)Environmentalism(s)
Environmentalism(s)
 
Metadynamics
MetadynamicsMetadynamics
Metadynamics
 
A statistical physics approach to system biology
A statistical physics approach to system biologyA statistical physics approach to system biology
A statistical physics approach to system biology
 
PS 240 Environmentalism Fall 2007
PS 240 Environmentalism Fall 2007PS 240 Environmentalism Fall 2007
PS 240 Environmentalism Fall 2007
 
EEB 321 Community Ecology: phylogenetics lecture
EEB 321 Community Ecology: phylogenetics lecture EEB 321 Community Ecology: phylogenetics lecture
EEB 321 Community Ecology: phylogenetics lecture
 
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCHNEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
NEW INSIGHTS FOR ENERGY FROM SOCIAL RESEARCH
 
Form, function, and evolution of living organisms
Form, function, and evolution of living organismsForm, function, and evolution of living organisms
Form, function, and evolution of living organisms
 
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
 
Pelorosso, Gobattoni, Monaco & Leone - Input2012
Pelorosso, Gobattoni, Monaco & Leone - Input2012Pelorosso, Gobattoni, Monaco & Leone - Input2012
Pelorosso, Gobattoni, Monaco & Leone - Input2012
 
Econosystemics
EconosystemicsEconosystemics
Econosystemics
 
American Statistical Association October 23 2009 Presentation Part 1
American Statistical Association October 23 2009 Presentation Part 1American Statistical Association October 23 2009 Presentation Part 1
American Statistical Association October 23 2009 Presentation Part 1
 
Complexity of the water-Food-Energy Nexus in ISIE 2015
Complexity of the water-Food-Energy Nexus in ISIE 2015Complexity of the water-Food-Energy Nexus in ISIE 2015
Complexity of the water-Food-Energy Nexus in ISIE 2015
 
Ecosystem Concepts
Ecosystem ConceptsEcosystem Concepts
Ecosystem Concepts
 
Soil dyn __2
Soil dyn __2Soil dyn __2
Soil dyn __2
 
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
Dr Lael Parrott at the Landscape Science Cluster Seminar, May 2009
 
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
PS2O, Hybrid Evolutionary-Conventional Algorithm, Genetical Swarm Optimizatio...
 
02.07.conference martinez alier ceecec
02.07.conference martinez alier ceecec02.07.conference martinez alier ceecec
02.07.conference martinez alier ceecec
 

More from Lake Como School of Advanced Studies

Electromagnetic counterparts of Gravitational Waves - Elena Pian
Electromagnetic counterparts of Gravitational Waves - Elena PianElectromagnetic counterparts of Gravitational Waves - Elena Pian
Electromagnetic counterparts of Gravitational Waves - Elena Pian
Lake Como School of Advanced Studies
 
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
Lake Como School of Advanced Studies
 
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
Lake Como School of Advanced Studies
 
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto SesanaLOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
Lake Como School of Advanced Studies
 
Gravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del PozzoGravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del Pozzo
Lake Como School of Advanced Studies
 
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
Lake Como School of Advanced Studies
 
Space based Gravitational Wave Observations II - M Hewitson
Space based Gravitational Wave Observations II  - M HewitsonSpace based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II - M Hewitson
Lake Como School of Advanced Studies
 
Space based Gravitational Wave Observations III - M Hewitson
Space based Gravitational Wave Observations III - M HewitsonSpace based Gravitational Wave Observations III - M Hewitson
Space based Gravitational Wave Observations III - M Hewitson
Lake Como School of Advanced Studies
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
Lake Como School of Advanced Studies
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
Lake Como School of Advanced Studies
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
Lake Como School of Advanced Studies
 
Binary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis LehnerBinary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis Lehner
Lake Como School of Advanced Studies
 
Ground based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni LosurdoGround based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni Losurdo
Lake Como School of Advanced Studies
 
Gravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault DamourGravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault Damour
Lake Como School of Advanced Studies
 
Gravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault DamourGravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault Damour
Lake Como School of Advanced Studies
 
Gravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault DamourGravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault Damour
Lake Como School of Advanced Studies
 
Gravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault DamourGravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault Damour
Lake Como School of Advanced Studies
 
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Lake Como School of Advanced Studies
 
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Lake Como School of Advanced Studies
 
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market  States and Subtleties of Correlations - Thomas GuhrEconophysics V: Market  States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
Lake Como School of Advanced Studies
 

More from Lake Como School of Advanced Studies (20)

Electromagnetic counterparts of Gravitational Waves - Elena Pian
Electromagnetic counterparts of Gravitational Waves - Elena PianElectromagnetic counterparts of Gravitational Waves - Elena Pian
Electromagnetic counterparts of Gravitational Waves - Elena Pian
 
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
LOW FREQUENCY GW SOURCES: Chapter III: Probing massive black hole binary with...
 
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
LOW FREQUENCY GW SOURCES: Chapter II: Massive black hole binary cosmic evolut...
 
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto SesanaLOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
LOW FREQUENCY GW SOURCES: Chapter I: Overview of LISA sources - Alberto Sesana
 
Gravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del PozzoGravitational waves data analysis - Walter Del Pozzo
Gravitational waves data analysis - Walter Del Pozzo
 
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
Space based Gravitational Wave Observations I – M Hewitson from Lake Como Sch...
 
Space based Gravitational Wave Observations II - M Hewitson
Space based Gravitational Wave Observations II  - M HewitsonSpace based Gravitational Wave Observations II  - M Hewitson
Space based Gravitational Wave Observations II - M Hewitson
 
Space based Gravitational Wave Observations III - M Hewitson
Space based Gravitational Wave Observations III - M HewitsonSpace based Gravitational Wave Observations III - M Hewitson
Space based Gravitational Wave Observations III - M Hewitson
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
The Analytical/Numerical Relativity Interface behind Gravitational Waves: Lec...
 
Binary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis LehnerBinary Black Holes & Tests of GR - Luis Lehner
Binary Black Holes & Tests of GR - Luis Lehner
 
Ground based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni LosurdoGround based GW dedetctors - Giovanni Losurdo
Ground based GW dedetctors - Giovanni Losurdo
 
Gravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault DamourGravitational Waves and Binary Systems (4) - Thibault Damour
Gravitational Waves and Binary Systems (4) - Thibault Damour
 
Gravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault DamourGravitational Waves and Binary Systems (3) - Thibault Damour
Gravitational Waves and Binary Systems (3) - Thibault Damour
 
Gravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault DamourGravitational Waves and Binary Systems (2) - Thibault Damour
Gravitational Waves and Binary Systems (2) - Thibault Damour
 
Gravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault DamourGravitational Waves and Binary Systems (1) - Thibault Damour
Gravitational Waves and Binary Systems (1) - Thibault Damour
 
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...Econophysics VII: Credits and the Instability of the Financial System - Thoma...
Econophysics VII: Credits and the Instability of the Financial System - Thoma...
 
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
Econophysics VI: Price Cross-Responses in Correlated Financial Markets - Thom...
 
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market  States and Subtleties of Correlations - Thomas GuhrEconophysics V: Market  States and Subtleties of Correlations - Thomas Guhr
Econophysics V: Market States and Subtleties of Correlations - Thomas Guhr
 

Recently uploaded

ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptxANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
RASHMI M G
 
Oedema_types_causes_pathophysiology.pptx
Oedema_types_causes_pathophysiology.pptxOedema_types_causes_pathophysiology.pptx
Oedema_types_causes_pathophysiology.pptx
muralinath2
 
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
Ana Luísa Pinho
 
Chapter 12 - climate change and the energy crisis
Chapter 12 - climate change and the energy crisisChapter 12 - climate change and the energy crisis
Chapter 12 - climate change and the energy crisis
tonzsalvador2222
 
Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.
Nistarini College, Purulia (W.B) India
 
SAR of Medicinal Chemistry 1st by dk.pdf
SAR of Medicinal Chemistry 1st by dk.pdfSAR of Medicinal Chemistry 1st by dk.pdf
SAR of Medicinal Chemistry 1st by dk.pdf
KrushnaDarade1
 
Nucleophilic Addition of carbonyl compounds.pptx
Nucleophilic Addition of carbonyl  compounds.pptxNucleophilic Addition of carbonyl  compounds.pptx
Nucleophilic Addition of carbonyl compounds.pptx
SSR02
 
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
yqqaatn0
 
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
Sérgio Sacani
 
Unveiling the Energy Potential of Marshmallow Deposits.pdf
Unveiling the Energy Potential of Marshmallow Deposits.pdfUnveiling the Energy Potential of Marshmallow Deposits.pdf
Unveiling the Energy Potential of Marshmallow Deposits.pdf
Erdal Coalmaker
 
Phenomics assisted breeding in crop improvement
Phenomics assisted breeding in crop improvementPhenomics assisted breeding in crop improvement
Phenomics assisted breeding in crop improvement
IshaGoswami9
 
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
David Osipyan
 
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
yqqaatn0
 
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
University of Maribor
 
Shallowest Oil Discovery of Turkiye.pptx
Shallowest Oil Discovery of Turkiye.pptxShallowest Oil Discovery of Turkiye.pptx
Shallowest Oil Discovery of Turkiye.pptx
Gokturk Mehmet Dilci
 
Medical Orthopedic PowerPoint Templates.pptx
Medical Orthopedic PowerPoint Templates.pptxMedical Orthopedic PowerPoint Templates.pptx
Medical Orthopedic PowerPoint Templates.pptx
terusbelajar5
 
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptxThe use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
MAGOTI ERNEST
 
8.Isolation of pure cultures and preservation of cultures.pdf
8.Isolation of pure cultures and preservation of cultures.pdf8.Isolation of pure cultures and preservation of cultures.pdf
8.Isolation of pure cultures and preservation of cultures.pdf
by6843629
 
Leaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdfLeaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdf
Renu Jangid
 
Bob Reedy - Nitrate in Texas Groundwater.pdf
Bob Reedy - Nitrate in Texas Groundwater.pdfBob Reedy - Nitrate in Texas Groundwater.pdf
Bob Reedy - Nitrate in Texas Groundwater.pdf
Texas Alliance of Groundwater Districts
 

Recently uploaded (20)

ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptxANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
ANAMOLOUS SECONDARY GROWTH IN DICOT ROOTS.pptx
 
Oedema_types_causes_pathophysiology.pptx
Oedema_types_causes_pathophysiology.pptxOedema_types_causes_pathophysiology.pptx
Oedema_types_causes_pathophysiology.pptx
 
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
Deep Behavioral Phenotyping in Systems Neuroscience for Functional Atlasing a...
 
Chapter 12 - climate change and the energy crisis
Chapter 12 - climate change and the energy crisisChapter 12 - climate change and the energy crisis
Chapter 12 - climate change and the energy crisis
 
Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.
 
SAR of Medicinal Chemistry 1st by dk.pdf
SAR of Medicinal Chemistry 1st by dk.pdfSAR of Medicinal Chemistry 1st by dk.pdf
SAR of Medicinal Chemistry 1st by dk.pdf
 
Nucleophilic Addition of carbonyl compounds.pptx
Nucleophilic Addition of carbonyl  compounds.pptxNucleophilic Addition of carbonyl  compounds.pptx
Nucleophilic Addition of carbonyl compounds.pptx
 
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
原版制作(carleton毕业证书)卡尔顿大学毕业证硕士文凭原版一模一样
 
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...
 
Unveiling the Energy Potential of Marshmallow Deposits.pdf
Unveiling the Energy Potential of Marshmallow Deposits.pdfUnveiling the Energy Potential of Marshmallow Deposits.pdf
Unveiling the Energy Potential of Marshmallow Deposits.pdf
 
Phenomics assisted breeding in crop improvement
Phenomics assisted breeding in crop improvementPhenomics assisted breeding in crop improvement
Phenomics assisted breeding in crop improvement
 
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
 
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
如何办理(uvic毕业证书)维多利亚大学毕业证本科学位证书原版一模一样
 
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
 
Shallowest Oil Discovery of Turkiye.pptx
Shallowest Oil Discovery of Turkiye.pptxShallowest Oil Discovery of Turkiye.pptx
Shallowest Oil Discovery of Turkiye.pptx
 
Medical Orthopedic PowerPoint Templates.pptx
Medical Orthopedic PowerPoint Templates.pptxMedical Orthopedic PowerPoint Templates.pptx
Medical Orthopedic PowerPoint Templates.pptx
 
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptxThe use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptx
 
8.Isolation of pure cultures and preservation of cultures.pdf
8.Isolation of pure cultures and preservation of cultures.pdf8.Isolation of pure cultures and preservation of cultures.pdf
8.Isolation of pure cultures and preservation of cultures.pdf
 
Leaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdfLeaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdf
 
Bob Reedy - Nitrate in Texas Groundwater.pdf
Bob Reedy - Nitrate in Texas Groundwater.pdfBob Reedy - Nitrate in Texas Groundwater.pdf
Bob Reedy - Nitrate in Texas Groundwater.pdf
 

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

  • 1. Covariations in ecological scaling laws fostered by eco-evolutionary dynamics Silvia Zaoli Andrea Giometto Amos Maritan Andrea Rinaldo
  • 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. 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. 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. THANK YOU FOR YOUR ATTENTION Collaborators Andrea Rinaldo, Amos Maritan, Andrea Giometto Funding EPFL Suisse National Science Foundation (SNF)

Editor's Notes

  1. All the ecological patterns that I mentioned, those related to mass and abundance of species, can be obtained from the probability distribution P(n,m|A), representing the probability to find a species with abundance n and mass m in an ecosystem of area A. To characterize analytically this pdf, we formulated a model for the dynamics of an ecosystem subject to birth death and speciation, where we incorporated the following ingredients