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. Author manuscript; available in PMC: 2018 Jun 1.
Published in final edited form as: Ecol Lett. 2018 Feb 28;21(6):763–778. doi: 10.1111/ele.12928

Table 2.

Example levels of ecosystem functioning (arbitrary units) in monoculture (Mijk) and mixture (Yijk) for species i at time j and place k that would produce each of the six types of biodiversity effects. Biodiversity effects are quantified using E10 in Box 3, assuming equal initial proportions RYE,ijk = 0.5 for all i, j and k. In all cases shown, total complementarity effects and total selection effects are simply the sum of local effects: CEγ=kPjTCEα and SEγ=kPjTSEα.

Case 1
Case 2
Case 3
Case 4
Case 5
Case 6
Time (j) Place (k) Species (i) Mijk Yijk Mijk Yijk Mijk Yijk Mijk Yijk Mijk Yijk Mijk Yijk
1 1 1 100 100 100 100 100 100 100 100 75 50 100 50
1 1 2   50     0   50     0   50     0   50     0 75 50   50 50
1 2 1 100 100 100 100   50     0   50     0 75 50 100 50
1 2 2   50     0   50     0 100 100 100 100 75 50   50 50
2 1 1 100 100   50     0 100 100   50     0 75 50 100 50
2 1 2   50     0 100 100   50     0 100 100 75 50   50 50
2 2 1 100 100   50     0   50     0 100 100 75 50 100 50
2 2 2   50     0 100 100 100 100   50     0 75 50   50 50
Net biodiversity effect 100 100 100 100 100 100
    Total complementarity effects: CEγ 0 0 0 0 100 150
    Total selection effects: SEγ 100 100 100 100 0 −50
       -Non-random overyielding 0 0 0 0 0 −50
       -Total insurance 100 100 100 100 0 0
         •  Average selection 100 0 0 0 0 0
         •  Temporal insurance 0 100 0 0 0 0
         •  Spatial insurance 0 0 100 0 0 0
         •  Spatiotemporal insurance 0 0 0 100 0 0