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Is there a mechanism deficit in ecology?. INTECOL 2013. Agenda. Macroecology is mechanism-less? Mechanism in ecology Mechanism in physics Example 1 – distribution & abundance Example 2 - biogeography. Macroecology – a mechanism deficit?.
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Is there a mechanism deficit in ecology? INTECOL 2013
Agenda • Macroecology is mechanism-less? • Mechanism in ecology • Mechanism in physics • Example 1 – distribution & abundance • Example 2 - biogeography
Macroecology – a mechanism deficit? • “If you can do a regression and pull data out of a journal you can do macroecology” Machine Learning ? p<0.05 I did science!
Agenda • Macroecology is mechanism-less? • Mechanism in ecology • Mechanism in physics • Example 1 – distribution & abundance • Example 2 - biogeography
Reductionism Causality • Biology is hierarchical reified • Causality moves up • Mechanism comes from below Ricklefs Sadava et al Potochkin & McGill 2012
But does it work? McGill 2013 (in The Balance of Nature and Human Impacted. Rohde)
Agenda • Macroecology is mechanism-less? • Mechanism in ecology • Mechanism in physics • Example 1 – distribution & abundance • Example 2 - biogeography
Physics 1687 • Newton: • F=Ma • F=GM1M2/d2 • Inertia & equal/opposite reactions • Descartes clockwork universe
Physics 2013 • Quantum mechanics • Statistical mechanics
Mechanism in physics • Practical • If you have an equation that is useful/predictive you have a mechanism (or maybe you’re just done and don’t care about mechanism?) • Laddered • Quantum mechanics gives Bohr atom • Physical chemistry gives multi-atom systems • Ideal gas law/statistical mechanics gives relation of macro-properties • Statistical • Quantum mechanics • Statistical mechanics (avoids intermediate numbers problem) • As general as possible • Only occasionally reductionist (more often self-contained) • Context aware (external forcing, environment)
Conclusion • Macroecology • Doesn’t have a mechanism deficit • Has a mechanism recognition deficit Mechanisms in ecology: AWOL or Purloined Letter. Towards a practical view of mechanism. 2010 McGill & Nekola
Agenda • Macroecology is mechanism-less? • Mechanism in ecology • Mechanism in physics • Example 1 – distribution & abundance • Example 2 - biogeography
A thought experiment – sampling from the region Larger local community N=4, S=3 Region Small local community N=2, S=2
We can write sampling idea as equations S, N, Ni, A from region are inputs Pivotal idea is sampling function: P=(ni|Ni,a,A,) Also see: Etienne & Alonso 2005 Green & Plotkin 2007 He & Legendre 2002 Dewdney 1998 Pielou multiple McGill 2011 American Journal Botany
How are we doing? • Surprisingly not too bad, but we’re missing something (too much , not enough )
Need another assumption • Have been using sampling function, , as spatially random (binomial or Poisson form) • We know clumped in nature • Clumping would fix problems (reduce , increase ) • More individuals from same species in sample lowers • More individuals from same species in one sample, likely to be underrepresented in other sample increases Condit et al 2000
Clumping fixes it! • =Finite Negative Binomial (Zillio & He 2010)
Sampling works at small scales Stochastic absences Sampling Deterministic absences Moving out of range Scale-break 100km X 100km
Ni(X)=NMAXiexp(||X- mi||2/s2) Abundance si MVPi Range Boundary mi X Spatial extent Spatially explicit, larger scale version RADIUSi mi EXTENT WIDTH A B McGill & Collins 2003 Also see Gauch & Whittaker 1972 Allen & White 2003 WIDTH
3 assumptions common to many theories 3 Assumptions • Species abundance varies logarithmically • Individuals in 1 species are clumped • All else can be random McGill Ecology Letters 2010
Agenda • Macroecology is mechanism-less? • Mechanism in ecology • Mechanism in physics • Example 1 – distribution & abundance • Example 2 - biogeography
Back to Leibig’s Law?GauseLeibig biogeographic law • Any one variable sets an upper limit according to a Gause’s law (Gaussian bell-curve) • But most sites at the optimum are limited by something else
CristianSolari In the lab can home in on limiting factor
Environment and Organisms • What • Dozens of GIS layers of climate that are biologically relevant for use in distribution modelling • Bioagricultural (e.g. degree days, frost free days, drought) • Extreme events (10-year coldest day, 50 year drought) • Topographic (slope, aspect, moisture indices) • Landcover • Traditional climate • Publically served, global 1km co-registered • Status • Funding from 3 organizations, >30 people involved • Pieces starting to become publically available
Summary • Mechanism is not deterministic and reductionist • Mechanism is often stochastic, self-referential, context-sensitive, more general than biology • Macroecology already has many mechanisms! • Sampling w/ clumping • Gause’s normal curve & Liebig’s Law