HAL Id: hal-01426853
https://hal.inria.fr/hal-01426853
Submitted on 19 Dec 2017
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Linking phylogenetic similarity and pollution sensitivity to develop ecological assessment methods: a test with
river diatoms
François Keck, Agnès Bouchez, Alain Franc, Frédéric Rimet
To cite this version:
François Keck, Agnès Bouchez, Alain Franc, Frédéric Rimet. Linking phylogenetic similarity and pollution sensitivity to develop ecological assessment methods: a test with river diatoms. Journal of Applied Ecology, Wiley, 2016, 53 (3), pp.856-864. �10.1111/1365-2664.12624�. �hal-01426853�
Linking phylogenetic similarity and pollution sensitivity to develop ecological assessment methods: a test with river diatoms
François Keck
1,2,*, Agnès Bouchez
1,2, Alain Franc
3and Frédéric Rimet
1,2Version of Record online: 3 MAR 2016
DOI: 10.1111/1365-2664.12624
© 2016 The Authors. Journal of Applied Ecology © 2016 British Ecological Society
Journal of Applied Ecology
Special Feature: Quantifying resilience
Volume 53, Issue 3, pages 856–864, June 2016
Author Information
1
UMR Carrtel, Institut National de la Recherche Agronomique (INRA), Thonon, France 2
UMR Carrtel, Université de Savoie, Chambéry, France 3
UMR BIOGECO, Institut National de la Recherche Agronomique (INRA), Cestas, France
*
Correspondence author. E-mail: francois.keck@gmail.com
n
G= (V, E) V
E G
n×n ij = 1
i j ij = 0
Aij =
!1 −pt ij ≥ ij;i̸=j 0
t p
t p
ai
i vi si
IP S =
"n
i=1ai×vi×si
"n
i=1ai×vi
vi si ai
P
2 0 2
AB CD EF GH IJ KL MN OP QR A S
0 20 40 60 80 100
01234
p
Phylogenetic distance
Trait distance
A B C
D E F
G H
I J K
L M
N O P
Q R S
A B C
t
Trait values
p t
γ
IP SP =
"
γaγ×vγ×sγ
"
γaγ×vγ
aγ =#
i∈γ
ai, vγ= 1 nγ
#
i∈γ
vi, sγ= 1 nγ
#
i∈γ
si, nγ = {i:i∈γ}
s v
t
∆v,i =#
i∈γ
ai(vi−vγ), ∆s,i=#
i∈γ
ai(si−sγ)
ai si vi
sγ vγ
|xi−xγ| x=s x=v
γ "
i∈γ(si−sγ) ="
i∈γ(vi−vγ) = 0
s v
i j
ij =$
(si−sj)2
t p
t p = {0.01,0.02,0.03, ...,0.99,1} t = {0.2,0.4,0.6,0.8} p = {0.05,0.1,0.15}
[t,p] t p
t p
t = 0.2 p = 0.05 t= 0.8 p= 0.15
[0.2,0.1] [0.2,0.15]
[0.2,0.1]
[0.2,0.1]
≥ 2
≥2
-2 -1 0 1
IPS sensi tivity
PSULMVAR MNUMAUSU AUAL AAMBAUIS AUVA AGCUAUDI MHELOAUR TGES TWEITFLU SKPCSKSS TMEDTTEN CBODTNOR CCOSCOCE CINVCTHO SNEOCDUB SHANSAGA STMISPAV DPSTSBIN TPSNDSTE CSCDCDTG CATOCSTR CCRYCCHO TMUSCMEN CBELCACY CHMUUERI SSMUPSBR SLMASELI SSVESCON DMONSPIN DVBRDITE DHIETFLO GRMAAFOR FFVIFDEL CTPUTHNI CGAIFFAM TTABTFAS SMIN UULN UUAN UUAC UACU FCA1 FRUM CEREFBID FAUTFCRO FCVAFPEM NACDNFON NOVANIFR FPCYNMIC NHANNZSU NINCDKUE CCLONAPI TAPINIVI NFILNSIG NTHMNCOM NACINIPU NDRANPAE NPADNCPL NILGNPAL PPANHAMP NDISNLIN NLOR NSIOBPAX HSPCHPDO HCRU GTHYPELO GYACGLIM NSLC HCAPNDIT NPNU NGRENVEN NCRYNPHY NCTONREI NROSNCTE NLUN NVRONCIN NDUR NSYM NLAN NCARNTPT NRADNCPR DGAL CPEDPLFR CPLE CPLALHUN DULV ASPHPELG
PCOSECAE EMNTESNC
ESLE CASPCAEX
CAFF CLANCBNA
CTUMCPRX RSIN GROSGBOB
GCAPGTRU GCLAGACU
GPROGANGGAFF GCLEGPAR
GLGNGPASGEXL EULAADMI
FVULBRUTALIB AMFOAPEDACOF
AMMOANORRGIB ETUREARG
ESORSSPL STCUCELLSUMI
SANGEORN EALA EPTU
EPAL FPEL FSAP STKR STACSGRL SPHO STAN CRCU ESBM CMLF CRAC DSBO
LGOE SCPE NEPR NBIS NEAF MAPE MAATMAFO MPMI CABUPNOD PACR PSGIPPVS PMI3PGIB PSELPSCAPOMUPIANPINTPMEUPBSIPBORPBMUPNGFPRUPCLAUCSILFFORFMOCSEBASELASPUPSSEMSEMNEMONEBILEPECEMINEIMPEFOREGLAPGSTRAMPCWAITPSD
s t= 0.6 p= 0.1
t p
t p
p t
Nu mb er
of clusters
Samples correctly classified (%)
30 50 70
50 100 150
30 40 50 60 70 80
Number of clusters
Samples correctly classified (%)
A
B
0.2 0.4 0.6 0.8 1.0
0.2 0.4
0.6 0.8 50
100 150 200 250
t p
p
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
0 5 10 15 20 0
5 10 15 20
p = 0.1 p = 0.15
p = 0.05
t = 0.2t = 0.4t = 0.6t = 0.8
[t,p] t
p
p t
t p
t p
p > 0.25