Objective: Predict the effects of climate change on avian abundance by

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Objective:
Predict the effects of climate
change on avian abundance by
modeling the response of
species to weather conditions
over 16 years
San Joaquin Experimental Range
Dependent variable:
Count -- summed over route for each
observer each year.
Explanatory variables (non-climate):
• Year
• Route
• Sampling day (Julian date)
Precipitation variables (9)
Annual precipitation from 1 May – 30 April of counting year
2-, 3-, 4-, and 5-year running averages of precipitation
Winter precipitation (Oct – March) of counting year
and 1, 2, 3 years prior
Temperature variables (5)
Mean spring (Mar- May) temperature
Mean summer (June – Aug) temperature
Mean fall (Sept – Nov)
Mean winter (Dec – Feb) temperature
Minimum winter temp preceding counts
ENSO – Southern Oscillation Index
(SOI) (5 variables)
Mean values for current calendar year
and 1, 2 years prior
Mean values for April – March of preceding year
and 2 years prior
high, positive values indicate cold, dry La Niña conditions
low, negative values indicate warm, wet El Niño conditions
Statistical Analysis
• Nonparametric Poisson regression
models (GAM with Loess smoothing, SPlus) to determine the functional shapes
of relations between counts and
explanatory variables.
• Parametric overdispersed Poisson
regression analysis (GLM, SAS) used
functional shapes for the explanatory
variables suggested by the
nonparametric analyses (polynomial).
ACWO
-0.6
0.5
0.1
0.0
1.0
60
Dry &cold
mp1
64
66
tsn
0.2
75
76
77
78
tja
79
80
-0.1
partial for route
0.1
0.1
-0.1
Precipitation
Location
-0.3
-0.3
lo(py1, span = 0.5)
0.2
0.0
-0.2
Summer
temperature
-0.6
-0.4
lo(tja)
62
G
0.0
F
-1.0
A
yr
-2.0
Wet & hot
E
2000
D
1995
C
1990
B
1985
Autumn
temperature
-0.2
SOI
-0.1
lo(tsn, span = 0.8)
0.2
0.0
-0.2
0.0
0.2
lo(mp1, span = 0.6)
Annual
trend
-0.4
lo(yr)
0.4
0.6
SPLUS partial residuals using GAM
(62.8% reduction in deviance )
10
15
20
py1
25
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*year2+c*mp1+d*mp12+e*py1+f*py12+g*tsn+h*tsn2+l*tja+route
ANHU
0.0
0.2
SOI
-0.4
-0.2
lo(mp0, span = 0.75)
0.0
0.4
Annual
trend
-0.4
A
-0.1
-0.5
0.0
0.5
1.0
Dry &cold
mp0
0.2
Location
-0.4
0.0
0.0
partial for route
0.4
Precipitation
0.1
-1.0
Wet & hot
-0.2
lo(py1, span = 0.75)
-1.5
G
-2.0
F
2000
E
1995
yr
D
1990
C
1985
B
lo(yr)
0.4
SPLUS partial residuals using GAM
(33.6% reduction in deviance )
10
15
20
py1
25
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*mp0+c*py1+route
EUST
-0.3
-0.1
120
12
14
16
days
18
20
22
24
pav3
0.2
Location
-0.6
-0.2
partial for route
0.1
0.0
SOI
-0.2
lo(mp0, span = 0.7)
-0.2
Summer
temperature
-0.6
lo(tja)
0.2
0.4
A
year
110
G
100
F
90
E
2000
D
1995
C
1990
B
1985
Precipitation
0.1
lo(pav3, span = 0.6)
0.3
lo(days)
0.1
0.4
0.2
0.0
-0.4
lo(year)
Julian day
Annual
trend
-0.1
0.6
SPLUS partial residuals using GAM
(48.9% reduction in deviance )
75
76
77
78
tja
79
80
-2.0
-1.0
0.0
mp0
0.5
1.0
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*days+c*days2+ d*pav3+e*mp0+f*mp02+
g*tja+route
NUWO
0.2
-0.6
120
75
76
15
20
py4
25
30
79
80
0.2
0.1
partial for route
SOI
Location
-0.2
0.0
0.3
78
tja
-0.1
lo(mp0, span = 0.7)
0.4
0.2
0.0
-0.4
lo(py4, span = 0.7)
Precipitation
10
77
days
A
year
110
G
100
F
90
E
2000
D
1995
C
1990
Summer
temperature
B
1985
-0.2
0.0
-0.2
-0.2
lo(tja, span = 0.5)
0.2
Julian day
lo(days)
0.2
Annual
trend
-0.6
lo(year)
0.6
0.4
SPLUS partial residuals using GAM
(41.4% reduction in deviance )
-2.0
-1.0
0.0
mp0
0.5
1.0
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*yr2+c*days+d*py4+e*mp0+f*tja+route
OATI
-0.2
120
75
76
20
py1
25
79
80
C
0.2
0.1
partial for route
0.0
0.2
0.1
lo(mp0, span = 0.6)
SOI
Location
-0.2
-0.1
15
78
tja
0.0
0.2
0.1
0.0
-0.2
lo(py1, span = 0.7)
Precipitation
10
77
days
A
year
110
G
100
F
90
E
2000
D
1995
B
1990
0.0
0.2
-0.3
1985
Summer
temperature
-0.4
-0.1
0.1
lo(days)
0.0
lo(tja, span = 0.6)
Julian day
0.2
0.4
Annual
trend
-0.4
lo(year)
0.3
0.6
SPLUS partial residuals using GAM
(58.4% reduction in deviance )
-2.0
-1.0
0.0
mp0
0.5
1.0
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*yr2+c*days+d*day2+e*py1+f*mp0+g*tja+route
WESJ
0.4
-0.4
120
75
76
77
78
79
80
tja
10
15
20
py1
25
0.1
partial for route
0.0
-0.1
0.10
SOI
Location
-0.3
-0.10
lo(mp0, span = 0.7)
-0.2
0.0
0.2
Precipitation
-0.4
lo(py1, span = 0.6)
0.4
C
days
A
year
110
G
100
F
90
E
2000
D
1995
B
1990
0.2
lo(tja, span = 0.6)
-0.10
1985
Summer
temperature
0.0
0.20
Julian day
0.10
lo(days)
0.2
0.0
-0.4
lo(year)
0.4
Annual
trend
0.0
0.6
SPLUS partial residuals using GAM
(55% reduction in deviance )
-2.0
-1.0
0.0
mp0
0.5
1.0
route
Parametric Overdispersed Poisson model: variables selected with SAS
Log(count)= a*year+b*year2+c*days+d*days2+e*mp0+f*mp02+g*mp03+
h*tja+i*py1+j*py12+route
SOI
Summer
temp
Winter
temp
Acorn Woodpecker
È
Anna’s Hummingbird
È
È
ÈÇ
Ç
Ash-throated Flycatcher
Bushtit
È
California Quail
È
È
Precip
È
Ç
Ç
È
È
Common Raven
European Starling
È
House Finch
È
House Wren
È
È
ÇÈ
Lesser Goldfinch
È
È
ÇÈ
Mourning Dove
È
Nuttall’s Woodpecker
È
È
Ç
Oak Titmouse
È
È
È
Rufous-crowned Sparrow
È
È
È
White-breasted Nuthatch
ÈÇ
È
ÇÈ
È
È
È
Western Scrub-jay
È
Ç
Ç
È
Ç
È
Calendar year minimum temperatures at SJER
1935-2002
35
Minimum temperature
30
Tmin=-0.52.3+0.037*year
P-value for slope = 0.071
25
20
15
10
1930
1940
1950
1960
1970
Year
1980
1990
2000
2010
Calendar year minimum temperatures at SJER
1935-2002
35
Loess smoothing
Minimum temperature
30
25
20
15
10
1930
1940
1950
1960
1970
Year
1980
1990
2000
2010
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