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Measuring the effects of change in
biodiversity on multiple
ecosystem functions
Jarrett	
  Byrnes,	
  Lars	
  Gamfeldt,	
  Forest	
  Isbell,	
  Jonathan	
  Lefcheck,	
  John	
  Griffin,
Andrew	
  Hector,	
  Bradley	
  Cardinale,	
  David	
  Hooper,	
  Laura	
  Dee,	
  J.	
  Emmett	
  Duffy
UMass Boston, University of Gothenburg, University of Minnesota, Virginia Institute of Marine Sciences,
Swansea University, University of Zurich, University of Michigan, Western Washington University,
University of California Santa Barbara, Virginia Institute of Marine Sciences
http://jebyrnes.github.io/intecol-multifunc
2/25
Meta-­‐analysis	
  Trio:	
  Diversity	
  Affects	
  Function
Balvanera et al. 2006 Eco. Let.
3/25
But	
  Are	
  Only	
  Two	
  Species	
  Needed?
Cardinale et al. 2006
Balvanera et al. 2006 Eco. Let.
4/25
Duffy et al. 2003
Ecology Letters
5/25
Multifunctionality: the
simultaneous
performance of
multiple functions
6/25
How	
  to	
  Measure	
  Multifunctionality
1. Past Methods of 'Measuring' Multifunctionality
2. At the Threshold of a Solution
3. Future Explorations of BEMF
7/25
An	
  Example:	
  Biodepth
8/25
Functions	
  Measured	
  in	
  Germany
9/25
Different	
  Ways	
  of	
  Measuring	
  Multifunctionality
1. Overlap in Species Influencing Function
2. Average Function
3. Number of Functions Performing at a Threshold
10/25
Overlap	
  in	
  Species	
  Influencing	
  Function
This is not a measure of Multifunctionality
11/25
Average	
  of	
  Standardized	
  Functions
Many results lead to the same line
12/25
Number	
  of	
  Functions	
  Performing	
  at	
  a	
  Threshold
Threshold may be arbitrary
13/25
How	
  to	
  Measure	
  Multifunctionality
1. Past Methods of 'Measuring' Multifunctionality
2. At the Threshold of a Solution
3. Future Explorations of BEMF
14/25
Thresholds	
  Seem	
  Arbitrary
15/25
Slope	
  Changes	
  Systematically	
  Across	
  Thresholds
16/25
Slope	
  Changes	
  Systematically	
  Across	
  Thresholds
17/25
Slope	
  Changes	
  Systematically	
  Across	
  Thresholds
18/25
Slope	
  Changes	
  Systematically	
  Across	
  Thresholds
19/25
How	
  to	
  Measure	
  Multifunctionality
1. Past Methods of 'Measuring' Multifunctionality
2. At the Threshold of a Solution
3. Future Explorations of BEMF
20/25
Comparing	
  Systems
21/25
Comparing	
  Systems	
  Behaviour
22/25
Assessing	
  Generality	
  of	
  Metrics
23/25
How	
  do	
  We	
  Measure	
  Multifunctionality?
1. Multifunctionality is a nuanced phenomenon
2. Multiple methods in the literature address
different aspects of multifunctionality
3. Examining the relationship between diversity
and # of Functions > a threshold at multiple
thresholds provides new promising metrics
These methods not limited to biodiversity-
ecosystem function research
24/25
Thanks	
  to	
  NCEAS	
  &	
  the	
  BEF	
  Working	
  Group
Paper: http://bit.ly/multifunc
R Multifunc Library: https://github.com/jebyrnes/multifunc
25/25

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