Major histocompatibility complex diversity is positivelyassociated with stream water temperatures in proximatepopulations of sockeye salmon
W. A. LARSON1, P. J . L IS I2 , J . E . SEEB, L . W. SEEB & D. E. SCHINDLER
School of Aquatic and Fishery Sciences, University of Washington, Seattle, WA, USA
Keywords:
genetic diversity;
local adaptation;
major histocompatibility complex;
pathogens;
sockeye salmon;
temperature;
temperature variation.
Abstract
Local adaptation to heterogeneous environments generates population
diversity within species, significantly increasing ecosystem stability and flows
of ecosystem services. However, few studies have isolated the specific mech-
anisms that create and maintain this diversity. Here, we examined the rela-
tionship between water temperature in streams used for spawning and
genetic diversity at a gene involved in immune function [the major histo-
compatibility complex (MHC)] in 14 populations of sockeye salmon (Oncor-
hynchus nerka) sampled across the Wood River basin in south-western
Alaska. The largest influence on MHC diversity was lake basin, but we also
found a significant positive correlation between average water temperature
and MHC diversity. This positive relationship between temperature and
MHC diversity appears to have been produced by natural selection at
very local scales rather than neutral processes, as no correlation was
observed between temperature and genetic diversity at 90 neutral mark-
ers. Additionally, no significant relationship was observed between tem-
perature variability and MHC diversity. Although lake basin was the
largest driver of differences in MHC diversity, our results also demonstrate
that fine-scale differences in water temperature may generate variable
selection regimes in populations that spawn in habitats separated by as
little as 1 km. Additionally, our results indicated that some populations
may be reaching a maximum level of MHC diversity. We postulate that
salmon from populations in warm streams may delay spawning until late
summer to avoid thermal stress as well as the elevated levels of pathogen
prevalence and virulence associated with warm temperatures earlier in
the summer.
Introduction
Genotypic and phenotypic diversity within species can
generate portfolio effects that maintain ecosystem
functions and flows of ecosystem services, even in
the presence of significant environmental fluctuation
(Hilborn et al., 2003; Figge, 2004; Schindler et al.,
2015). Landscape heterogeneity is thought to play a
major role in promoting this diversity (e.g. Quinn
et al., 2001; Eckert et al., 2010); however, elucidating
the environmental factors that generate and maintain
certain genotypes and phenotypes through natural
selection has been difficult in nonmodel organisms.
This knowledge gap prevents resource managers from
effectively prioritizing habitats and populations for
conservation (Luck et al., 2003). Further, with antici-
pated climate change, there is a need to understand how
populations may respond to new environmental condi-
tions generated by changing thermal and precipitation
Correspondence: Wesley A. Larson, School of Aquatic and Fishery
Sciences, University of Washington, 1122 NE Boat Street, Box 355020,
Seattle, WA 98195-5020, USA.
Tel.: +1 760 613 7282; fax: +1 715 346 3624;
e-mail: [email protected] address: College of Natural Resources, University of Wisconsin-
Stevens Point, 800 Reserve Street, Stevens Point, WI 54481, USA2Present address: Center for Limnology, University of Wisconsin, 680 N.
Park Street, Madison WI 53705, USA
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doi: 10.1111/jeb.12926
regimes. Here, we combine genetic and environmental
data to investigate the influence of water temperature on
adaptive genetic diversity at an immune response gene,
the major histocompatibility complex (MHC), in sockeye
salmon (Oncorhynchus nerka) sampled across a single river
basin in south-western Alaska (USA).
Major histocompatibility complex genes encode
molecules that are involved in the recognition of
pathogens, representing an important component of
immune defence in vertebrates (Potts & Wakeland,
1990; Matsumura et al., 1992). The MHC is divided
into two major classes, class I and class II. MHC class I
molecules bind to antigens derived from intracellular
pathogens whereas MHC class II molecules are found
on specialized antigen-presenting cells and bind to
antigens from extracellular pathogens. Different class I
and class II variants often recognize different patho-
gens, leading to high levels of polymorphism and
strong signals of selection across populations and spe-
cies (reviewed in Piertney & Oliver, 2006; Bernatchez
& Landry, 2003). Many studies have hypothesized that
these patterns can be attributed to spatial variation in
pathogen communities or pathogen virulence (e.g.
Miller et al., 2001; Ekblom et al., 2007; Evans et al.,
2010; Gomez-Uchida et al., 2011). However, few have
linked MHC diversity to environmental features, such
as temperature, that may influence pathogen commu-
nities or organism vulnerability to them (but see
Dionne et al., 2007).
Temperature and temperature variation can signifi-
cantly influence pathogen communities and the ability
of pathogens to infect their hosts. For example, higher
temperatures can increase the virulence, diversity and
prevalence of pathogens (Mitchell et al., 2005; Luque &
Poulin, 2008; Karvonen et al., 2013). Additionally, high
temperature variation can facilitate pathogen transmis-
sion at lower mean temperatures (Paaijmans et al.,
2010) and influence the developmental rate of patho-
gens (Vangansbeke et al., 2015).
The relationship between temperature and the
effects of pathogens is especially evident in salmon,
which often complete an arduous migration from the
marine environment to their natal freshwater habitats
to spawn. Elevated temperatures during this migration
and on the spawning grounds can increase pathogen
prevalence and virulence and eventually lead to pres-
pawn mortality (reviewed in Miller et al., 2014). It is
also important to note that salmon populations dis-
play differences in thermal tolerance over both large
and small spatial scales (Eliason et al., 2011, 2013;
Anttila et al., 2014). Although most of the research
on this topic has focused on metabolic responses to
thermal stress, it is likely that thermotolerant popula-
tions have also evolved mechanisms for coping with
increased levels of pathogen prevalence and virulence
associated with high temperatures. Physiological stress
on salmon at warm temperatures may also make
them more vulnerable to pathogen infection. For
example, salmon from warmer streams may delay
spawning to avoid thermal stress and the increased
levels of pathogen prevalence and virulence associated
with warmer temperatures that occur during summer.
Indeed, for sockeye salmon populations spawning in
south-west Alaska, there is a positive correlation
between summer stream water temperatures and the
seasonal timing of spawning (Lisi et al., 2013). Differ-
ent patterns of MHC diversity may have also evolved
in salmon populations that experience thermal stress
compared to those that are not subjected to elevated
temperatures and, therefore, likely reflect evolution-
ary responses to thermal stress in a population’s evo-
lutionary history.
In theory, MHC diversity in salmon populations that
experience high temperatures should increase in
response to elevated levels of pathogen prevalence and
virulence. Dionne et al. (2007) tested this hypothesis
and found that water temperature, measured as accu-
mulated degree days, was positively correlated with
MHC diversity across 34 populations of Atlantic salmon
(Salmo salar). Sampling occurred over a 12° latitudinal
gradient, establishing that MHC diversity is associated
with temperature across large spatial scales. However, it
is unclear whether variation in MHC diversity is associ-
ated with fine-scale differences in temperature com-
monly found among tributaries within river basins (Lisi
et al., 2013).
At the basin scale, topographic features and differ-
ences in water sources can produce substantial varia-
tion in water temperature that can span thermal
differences found in rivers over broad latitudinal gradi-
ents (Poole & Berman, 2001; Beechie et al., 2013; Lisi
et al., 2015). The influence of temperature on MHC
diversity has been suggested at the basin scale
(McGlauflin et al., 2011; Larson et al., 2014), but has
not been thoroughly investigated. Here, we investigated
the influence of temperature and temperature variation
on MHC diversity in sockeye salmon (Oncorhynchus
nerka) from 14 streams in the Wood River basin in
south-western Alaska. Previous studies have demon-
strated that differences in MHC diversity are associated
with life history type (beach, river, stream) in popula-
tions of sockeye salmon from the Wood River basin
(McGlauflin et al., 2011; Larson et al., 2014). Our
results extend these findings and suggest that, although
lake basin has a large effect of MHC diversity, fine-scale
differences in thermal regimes can result in differences
in MHC diversity among stream populations that are
separated by as little as 1 km. We also investigated the
relationship between temperature patterns throughout
the summer and spawn timing and found that changes
in spawn timing may represent an additional mecha-
nism to cope with the increased levels of pathogen
prevalence and virulence associated with high water
temperatures.
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2 W. A. LARSON ET AL.
Materials and methods
Study site
The Wood River basin (59°200N, 158°400W) drains a
series of five large interconnected lakes, fed by numer-
ous small first- to fourth-order streams. The drainage is
essentially free of anthropogenic development and
annually provides productive spawning habitat for
more than 1 million sockeye salmon that escape the
commercial fishery and return to their natal spawning
areas with high fidelity (stray rate < 1%, Hendry et al.,
2004). A significant portion of these salmon spawn in
small streams with ecologically significant differences in
spawn timing over the summer months (Lisi et al.,
2013; Schindler et al., 2013). Streams that support sal-
mon vary in a number of geomorphic characteristics
that affect temperature including width, depth, water-
shed slope, drainage area, elevation, contribution of
snow to stream flow and the presence of lakes in the
headwaters (Lisi et al., 2013, 2015; Lisi & Schindler,
2014). In general, streams draining flatter watersheds
are often fed by lakes and are generally warmer than
streams draining steeper, higher elevation watersheds
dominated by snowmelt. Temperatures can differ by as
much as 16 °C among proximate streams, creating a
mosaic of thermal variation across the system (Arm-
strong et al., 2010; Ruff et al., 2011). The amount of
daily temperature variation also differs among streams,
likely due to differences in shading, flow, buffering by
small upstream lakes and water residence time (Isaak &
Hubert, 2001; Caissie, 2006; Lisi et al., 2013).
Genetic and temperature data
We obtained genetic data for sockeye salmon from 14
streams in the Wood River basin as described in Larson
et al. (2014) (Table 1, Fig. 1). These data consisted of
genotypes from a 180-base pair fragment of the MHC
class II b1 exon (~ 46 individuals/stream, see Table S1
for exact sample sizes) and 90 putatively neutral single
nucleotide polymorphisms (SNPs) (~ 95 individuals/
stream, see Table S1 for exact sample sizes). The region
of the MHC that we sequenced contained 16 polymor-
phic sites, and all sites coded for nonsynonymous
changes in amino acids, suggesting that the MHC is
under strong selection in this system (Larson et al.,
2014). The 90 neutral SNPs were described by Elfstrom
et al. (2006) and Storer et al. (2012) and were found to
be putatively neutral according to a test for selection
described in Larson et al. (2014). See Larson et al.
(2014) for methods used to extract DNA and obtain
genotypes.
Genetic diversity was quantified with three measures:
observed heterozygosity (HO), allelic richness (AR) and
amino acid diversity (aa div, MHC only). Estimates of
HO and AR were available from Larson et al. (2014),
and aa div was calculated as the average number of
amino acid substitutions per site within each popula-
tion in MEGA6 (Tamura et al., 2013). Patterns of popu-
lation structure in the neutral data set were visualized
with a neighbour-joining tree based on Nei’s DA dis-
tance with 1000 bootstrap replicates. The tree was con-
structed in POPTREE2 (Takezaki et al., 2010). We also
obtained estimates of pairwise-FST based on the neutral
Table 1 Collection data and summary statistics for 14 populations in this study. Population numbers correspond to Fig. 1.
Pop # Population Lake Group
Loci
Temp (°C) PC1 PC2
MHC Neutral
HO HE AR aa div HO He AR
1 Uno Creek Beverley Upper Basin 0.79 0.84 9.89 0.083 0.26 0.26 1.85 5.93 �2.61 1.31
2 Moose Creek Beverley Upper Basin 0.91 0.86 15.66 0.079 0.25 0.25 1.85 12.14 3.30 0.01
3 Kema Creek Nerka Upper Basin 0.88 0.87 15.57 0.089 0.25 0.26 1.86 11.05 1.87 �2.57
4 Joe Creek Nerka Upper Basin 0.84 0.79 14.77 0.075 0.27 0.27 1.88 6.64 �1.83 1.83
5 Pick Creek Nerka Upper Basin 0.75 0.80 16.59 0.078 0.25 0.26 1.88 6.25 �2.34 �2.74
6 Lynx Cold Tributary Nerka Upper Basin 0.79 0.79 11.76 0.075 0.26 0.26 1.86 5.77 �2.63 1.13
7 Lynx Creek Nerka Upper Basin 0.89 0.88 14.79 0.085 0.26 0.26 1.87 11.67 2.99 1.00
8 Teal Creek Nerka Upper Basin 0.77 0.80 11.90 0.077 0.26 0.26 1.87 9.19 0.53 1.12
9 Stovall Creek Nerka Upper Basin 0.89 0.87 12.77 0.088 0.26 0.26 1.87 12.72 3.86 �1.34
10 Happy Creek Aleknagik Lower Basin 0.53 0.50 8.86 0.049 0.27 0.26 1.89 7.38 �1.43 0.46
11 Hansen Creek Aleknagik Lower Basin 0.35 0.33 4.95 0.034 0.27 0.26 1.87 7.53 �1.41 �1.47
12 Eagle Creek Aleknagik Lower Basin 0.57 0.56 8.95 0.053 0.26 0.26 1.86 7.62 �1.36 �1.60
13 Bear Creek Aleknagik Lower Basin 0.47 0.45 8.85 0.039 0.26 0.26 1.86 6.83 �2.11 0.57
14 Whitefish Creek Aleknagik Lower Basin 0.66 0.57 9.67 0.046 0.27 0.26 1.87 11.62 3.18 2.31
Summary statistics are reported for the MHC and the set of 90 neutral SNPs. HO is observed heterozygosity, HE is expected heterozygosity,
AR is allelic richness, aa div is amino acid diversity, Temp is the average temperature from July 1 through August 31, PC1 is the PCA score
from axis one in Fig. 3 and corresponds to temperature, and PC2 is the score from axis two and corresponds to temperature variation. See
Table S1 for more information on genetic and environmental data.
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Association between MHC and temperature in salmon 3
SNPs from Larson et al. (2014) to conduct partial Man-
tel tests. Tests for departures from linkage and Hardy–Weinberg equilibrium in the MHC and neutral data sets
were conducted by Larson et al. (2014); no significant
deviations were found.
Temperature data for each stream were obtained dur-
ing the primary period of stream residence for adult sal-
mon in the Wood River basin (July 1–August 31) as
described in Lisi et al. (2013). We did not include temper-
ature data from the rest of the year because data coverage
was poor and the primary period of adult salmon resi-
dence corresponds to the summer months which are the
most thermally stressful for salmon (Eliason et al., 2011).
Temperature was recorded at hourly intervals with I-
button� temperature recorders (� 0.50 °C; Maxim Inte-
grated Products, Sunnyvale, CA, USA) and hobo level
loggers (� 0.15 °C; Onset Computer Corp., Bourne, MA,
USA) placed within active spawning grounds in each
stream in the channel thalweg (raw temperature data
available from http://depts.washington.edu/aksalmon/
swakstreamtemp/). Between 2 and 5 years of tempera-
ture, data were recorded for each stream, and we used
these data to calculate ten metrics that reflect tempera-
ture or temperature variation (Table 2). Years did not
necessarily overlap across all sites (see Table S2 for tem-
perature metrics by year).
We conducted an analysis of variance to investigate
the amount of variation in thermal metrics that was
partitioned among streams compared to among years.
The variation among streams was much higher than
among years for the majority of the metrics prompt-
ing us to average the metrics across years (Table S3).
Approximately 10 days of temperature data were
missing from Kema Creek in 2007 and Uno Creek in
2013. Temperature metrics calculated from years with
missing data did not differ appreciably from those
without missing data prompting us to retain the
Kema Creek 2007 and Uno Creek 2013 samples
(Table S2).
Relationship between water temperature andgenetic diversity
Before exploring the relationship between temperature
and genetic diversity at the MHC, we investigated pat-
terns of neutral genetic differentiation to ensure that
our results would not be confounded by population
structure. Populations were broadly separated into the
two groups according to the phylogenetic tree based on
neutral SNPs (Fig. 2): (i) streams from lakes Nerka and
Beverley (upper basin) and (ii) streams from Lake
Aleknagik (lower basin). The relationship of Whitefish
Creek (population 14) was not well resolved, so we
grouped it with the lower basin based on geographic
proximity. Differences in MHC HO and AR between
groups were assessed with 1000 permutations in FSTAT
(version 293, Goudet, 1995), and differences in MHC
aa div, temperature, and temperature variation were
assessed with permutations tests conducted in R (ver-
sion 3.1, 10 000 permutations, R Development Core
Team, 2013). Highly significant differences in MHC HO,
AR, and aa div existed between these groups, but no
significant differences in neutral HO, neutral AR, tem-
perature, or temperature variation were found (see
Results). We z-scored standardized estimates of MHC
diversity by group in all subsequent analyses (unless
otherwise specified) to facilitate comparisons across
population groups with differing levels of diversity.
Principal component analysis (PCA) was used to
summarize the dominant trends in the genetic data set.
The PCA based on genetic data was conducted with all
five measures of genetic diversity (Table 2); measures
of MHC diversity were z-standardized as mentioned
above. The PCA was conducted on a correlation matrix.
We also conducted a PCA on the MHC variables alone
using a variance–covariance matrix.
Principal component analysis on the temperature
data set was conducted using a correlation matrix. Vari-
ables quantifying temperature were strongly associated
with PC1, and variables quantifying temperature varia-
tion were associated with PC2 (Fig. 3, see Results). To
Fig. 1 Map of study system. Upper basin populations are denoted
with circles, and lower basin populations are denoted with
triangles. Points are coloured by average summer temperature
(July 1–August 31). The numbers adjacent to each population
correspond to those found in Table 1.
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4 W. A. LARSON ET AL.
simplify further analyses, we used PCA scores for PC1
as a proxy for temperature within each stream, and
scores for PC2 as a proxy for temperature variation (un-
less otherwise specified). We did not adopt a similar
PCA approach for the genetic data because the number
of variables was much smaller and the different mea-
sures of diversity were not as strongly correlated.
We conducted simple and multiple linear regressions to
test the hypothesis that genetic diversity was associated
with tributary water temperatures in streams of the Wood
River basin. Before conducting regressions, we tested for
normality in response variables with a Shapiro–Wilk test,
and all response variables were approximately normally
distributed (P > 0.05). We then generated least squares
linear regressions between temperature (summarized as
PCA scores) and genetic variables to test the hypothesis
that genetic diversity was associated with tributary water
temperatures in streams of the Wood River basin. The sta-
tistical significance of each regression was evaluated with
an F-test implemented in R (R Development Core Team,
2013, a = 0.05). If a regression was significant, then we
investigated whether a linear model represented the best
fit to the data by evaluating the fit of additional nonlinear
functions with the Akaike’s information criterion (AIC,
Anderson & Burnham, 2002). Models with DAIC values
< 2 were considered to have substantial support (Burn-
ham & Anderson, 2004). We also estimated the relative
importance of different predictor variables in significant
regressions. Specifically, we conducted multiple linear
regressions between genetic variables (standardized by
basin) and raw values of variables associated with either
temperature or temperature variation then assessed the
relative importance of each variable with the lmg method
implemented in R package relaimpo (Groemping, 2006).
We also constructed multiple linear regressions with
genetic diversity as the response variable and temperature
and lake basin as the two predictor variables to investigate
the relative influence of temperature and lake basin on
genetic diversity. The relative importance of each predictor
variable was estimated with the lmgmethod implemented
Table 2 Explanation of genetic and environmental variables used in this study.
Variable Classification Explanation
Predictor variables
Avg temp Temperature Average temperature across the spawning season (July–August)
Max temp Temperature Maximum observed temperature
Min temp Temperature Minimum observed temperature
Avg top 10 Temperature Average temperature of the 10 warmest days
Num days over 10 Temperature Count of the numbers of days with average temperature over 10 °C
Daily CV Temperature variation CV for each day averaged across days. Measures variation within days.
Daily SD Temperature variation SD for each day averaged across days. Measures variation within days.
CV across days Temperature variation CV of mean daily temperatures. Measure of temperature variation across days.
CV all temps Temperature variation CV of all temperature readings. Measures temperature variation within and across days.
Response variables
MHC HO MHC diversity The proportion of individuals with two MHC alleles in each population
MHC AR MHC diversity Standardized measure of the number of MHC alleles in each population
MHC aa div MHC diversity Quantifies the amount of functional diversity within and among individuals in each population
Neutral HO Neutral diversity The proportion of individuals with two alleles averaged across 90 neutral SNPs in each population
Neutral AR Neutral diversity Standardized measure of the number of alleles averaged across 90 neutral SNPs for each population
Temp range Temperature variation Highest temperature observed – lowest temperature observed
HO is observed heterozygosity, AR is allelic richness, aa div is amino acid diversity. Neutral measures of genetic diversity were obtained from
90 putatively neutral SNPs.
DA
Lower Basin
Upper Basin
9
6
3
2
8
7
1
5
4
14
13
12
11
10
64
74
50
62
53
20
6
17
10
33
60
0.0005
Fig. 2 Neighbour-joining tree based on DA distance for 90 neutral
SNPs. Upper basin populations are denoted with circles, and lower
basin populations are denoted with triangles. Population numbers
are found next to each symbol and correspond to those in Table 1.
Bootstrap values from 1000 replicates are located next to each
node.
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Association between MHC and temperature in salmon 5
in the R package relaimpo, and measures of genetic diver-
sity were not standardized by basin for this analysis.
Finally, we used partial Mantel tests to evaluate the
relationship between temperature variables and genetic
diversity while controlling for neutral population struc-
ture (pairwise-FST calculated from neutral SNPs). The
significance of each test was assessed with 10 000
randomizations.
Relationship between spawn timing and streamtemperature
We plotted temperatures throughout July and August
for each stream and sampling year to investigate warming
and cooling trends during the period of stream residence
for adult salmon in the Wood River basin. Locally
weighted scatterplot smoothing (LOESS) regressions were
used to visualize trends in the data. We also overlaid the
average date of salmon entry for each stream from 2009
to 2011 (Table S1, Lisi et al., 2013; Schindler et al., 2013),
the average length of salmon residence (Schindler et al.,
2010) and the peak period of the spawning season
(Schindler et al., 2010) on the plots. We did not investi-
gate the relationship between average temperature and
spawn timing because these two variables have already
been shown to be highly correlated in the Wood River
basin (Lisi et al., 2013; Schindler et al., 2013).
Results
Genetic data
Extensive variation in MHC diversity existed across the
14 streams in our study (Table 1, Table S1). MHC HO
ranged from 0.35 to 0.91, MHC AR ranged from 4.95 to
16.59, and MHC aa div ranged from 0.034 to 0.089.
This contrasted with patterns observed for the neutral
SNPs, where HO and AR only varied by 0.02 across all
populations (Table 1, Table S1).
Population structure at the neutral SNPs was sepa-
rated into two groups: streams from lakes Nerka and
Beverley (upper basin) and streams from Lake Alek-
nagik (lower basin) (overall FST = 0.009, Fig. 2,
Table S4). However, bootstrap support for this separa-
tion was only 60%. This result coupled with the small
neutral FST indicates that neutral structure in this sys-
tem is relatively shallow (c.f., Larson et al., 2014). It is
also important to note that populations from lakes Bev-
erly (populations 1–2) and Nerka (populations 3–9)were interspersed in the phylogenetic tree, suggesting
that population structure in the upper basin is not par-
titioned by lake. Additionally, the relationship of
Whitefish Creek (population 14) was not well resolved;
we included this population with the lower basin group
based on geography. MHC HO, AR and aa div were sig-
nificantly higher for upper basin streams (P < 0.01),
whereas no significant differences between the upper
and lower basins were found for neutral HO and AR
(P > 0.05). We z-scored standardized measures of MHC
diversity in subsequent analyses based on these results
unless otherwise specified (see Methods).
The PCA including all five measures of genetic diver-
sity demonstrated large loadings for MHC variables on
PC1 (average loading = 0.53) and large loadings for neu-
tral variables on PC2 (average = 0.64), suggesting that
MHC diversity across streams is not correlated with neu-
tral diversity (PC1 = 42% of variance explained,
PC2 = 28%, Fig. S2). A PCA constructed using only
MHC data displayed a large loading for HO on PC1 (load-
ing = 0.64, PC1 66% of variance), indicating that MHC
HO explained the largest amount of variance in MHC
diversity (Fig. S3). MHC AR and aa div also contributed to
PC1 (average loadings = 0.54) but had much larger load-
ings on PC2 (average loading = 0.70, PC2 24% of vari-
ance explained). Both PCAs constructed using genetic
data indicated that warm streams contain higher levels of
MHC diversity than cold streams (Figs S2 and S3).
Stream water temperature
A PCA constructed with temperature variables indicated
that the largest source of variance was associated with
temperature (PC1 = 63%), whereas within-stream vari-
ability in temperature explained less variance and was
associated with PC2 (27% of the variance explained;
−3 −2 −1 0 1 2 3 4
−4−2
02
4
PC1 (63% of variance)
PC
2 (2
7% o
f var
ianc
e)
TemperatureTemperature variation
Cold Warm
High daily variation
High variation across days
1
6
4
13 10
11
12
5 3
9
2
7
14
8
Fig. 3 Principal component analysis (PCA) of temperature
variables across the 14 streams in this study. Population numbers
are adjacent to each point and correspond to those from Table 1.
Circles correspond to upper basin populations, and triangles
correspond to lower basin populations. Variable loadings are
plotted with arrows. A PCA with the temperature variable loadings
labelled is found in Fig. S1. See Table 2 for more information on
temperature variables.
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6 W. A. LARSON ET AL.
Fig. 3, Fig. S1; see Table S1 for raw data). All five vari-
ables associated with average, max and min tempera-
ture had large loadings (average loading = 0.39) on
PC1 and small loadings (average = 0.06) on PC2,
whereas the five variables associated with temperature
variation (coefficient of variation, standard deviation,
range) had large loadings on PC2 (average = 0.43) but
not on PC1 (average = 0.18) (Table S1).
Streams were generally characterized as warm or
cold according to the PCA (Fig. 3), with only one
stream (Teal Creek, population 8), appearing as inter-
mediate. Warm and cold streams were found in both
the lower and upper basins, and at least one warm
and one cold stream was present in each lake. Most
streams displayed intermediate levels of temperature
variation within and across days. Exceptions included
Whitefish Creek (population 14), which displayed high
variation across days, and Kema and Pick Creeks (pop-
ulations 3, 5), which displayed high daily variation
(Fig. 3).
Relationship between water temperature andgenetic diversity
Simple regression analysis demonstrated a significant
positive relationship between temperature (PC1) and
standardized MHC HO (P < 0.001, adjusted R2 = 0.58,
Table 3, Fig. 4). A nearly significant positive relation-
ship was also found between temperature and MHC aa
div (P = 0.08, adjusted R2 = 0.17, Table 3, Fig. S4). In
comparison, regressions between temperature and neu-
tral diversity showed no significant relationships
(P > 0.5, adjusted R2 = 0, Table 3, Fig. 4, Fig. S4).
Additionally, no significant associations between tem-
perature variation and genetic diversity were found
(P ≥ 0.15, Table 3, Fig. S4).
A linear model provided the best fit for the relation-
ship between water temperature and MHC HO accord-
ing to AIC model selection (AIC weight = 0.74,
DAIC = 0, Table S5). Neither exponential, logarithmic
nor second-order polynomial functions were supported
by AIC (AIC weight < 0.15, DAIC > 3). Each of the five
variables associated with water temperature displayed
similar relative importance values in a multiple linear
regression with MHC HO as the response variable and
temperature as the predictor variables (Table S6).
Multiple regressions with genetic diversity as the
response variable and temperature and lake basin as
predictor variables indicated that lake basin had a larger
influence on MHC diversity than temperature
(Table 4). The lake basin variable contributed signifi-
cantly (P < 0.05) to all regressions with MHC diversity
as a response variable, whereas a temperature variable
was only significant in one regression (MHC HO vs.
temperature (PC1) and lake basin). No significant rela-
tionship existed in regressions with neutral genetic
diversity as a response variable.
A positive association between temperature and MHC
HO was found with a partial Mantel test controlling for
genetic structure (P < 0.002, Mantel R = 0.54, Table 3).
Statistical support for all other associations was low
(P ≥ 0.16, Table 3). It is important to note that partial
Mantel tests have been criticized for inflated type I
error (e.g. Raufaste & Rousset, 2001); therefore, the
results from these tests should be interpreted with cau-
tion. However, Legendre et al. (2015) argue that partial
Mantel tests are still appropriate when analyses incor-
porate dissimilarity matrices such at the matrix of pair-
wise-FST values that we utilized to summarize neutral
structure.
Relationship between spawn timing and streamtemperature
Stream temperatures were relatively consistent
throughout the summer months for both warm and
cold streams in most years (Fig. S5). However, annual
variation in snowpack did produce differences in ther-
mal sensitivity to warmer summer weather over our
study period (Lisi et al., 2015; Fig. 5, Fig. S5). In partic-
ular, a deep winter snow pack and several weeks of
warm sunny weather in July 2013 produced unusually
large differences in water temperature among streams
over the spawning season. For instance, Stovall Creek
reached 25 °C and Whitefish Creek reached 19 °C on
July 27. In comparison, streams, cooled by snowmelt
such as Lynx Cold Tributary (Lisi et al., 2015), had
much cooler maximum temperatures (~ 11 °C) over
the same period (Fig. 5).
Consistent with their spawning dates in previous
years (within 2–5 days, Schindler et al., 2013), salmon
populations from Bear Creek and Lynx Cold Tributary
(cool streams) entered their spawning grounds around
the 15th of July and experienced relatively cool condi-
tions (~ 5–8 °C) for the duration of their spawning sea-
son (Fig. 5b, d). Salmon entered Stovall and Whitefish
Creeks (warm streams) to spawn several weeks later,
and by doing so, experienced thermal conditions that
were on average two to four degrees cooler compared
to those that they would have experienced had they
entered at the same time as other early spawning
stream populations (Fig. 5a, c).
Discussion
We found that lake basin had the largest influence on
MHC diversity across 14 streams used by sockeye sal-
mon for spawning in the Wood River basin, but we also
demonstrated that MHC HO was positively associated
with water temperature across these streams. The rela-
tionship between temperature and MHC HO was likely
driven by selection rather than neutral processes
because no significant relationship between tempera-
ture and HO at 90 neutral SNPs was found.
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Association between MHC and temperature in salmon 7
Additionally, no significant relationships between tem-
perature and any other measures of genetic diversity
were found, and temperature variation was not signifi-
cantly associated with any metric of MHC or neutral
diversity included in this study.
We speculate that the significant relationship we
observed between temperature and MHC HO was dri-
ven by increased pathogen-mediated selection due to
increases in pathogen virulence, prevalence, and diver-
sity in warm environments (Mitchell et al., 2005; Luque
& Poulin, 2008; Karvonen et al., 2013). However, we
did not observe the same significant relationship
between temperature and MHC AR. Two major
hypotheses have been proposed to explain pathogen-
mediated selection on the MHC in wild populations: (i)
negative frequency-dependent selection and (ii)
Table 3 Results from linear regressions and partial Mantel tests comparing relationships between genetic and temperature variables.
Predictor variable Response variable Lm R2 Lm slope Lm int Lm P Mantel R Mantel P
Temperature (PC1) MHC HO 0.58 0.30 0.00 0.00 0.54 0.00
Temperature variation (PC2) MHC HO 0.00 0.08 0.00 0.63 0.01 0.36
Temperature (PC1) MHC AR 0.02 0.12 0.00 0.27 �0.02 0.50
Temperature variation (PC2) MHC AR 0.00 �0.11 0.00 0.53 �0.01 0.46
Temperature (PC1) MHC aa div 0.17 0.19 0.00 0.08 0.09 0.16
Temperature variation (PC2) MHC aa div 0.02 �0.18 0.00 0.28 0.09 0.17
Temperature (PC1) Neutral HO 0.00 0.00 0.26 0.54 0.00 0.41
Temperature variation (PC2) Neutral HO 0.09 0.00 0.26 0.15 0.06 0.27
Temperature (PC1) Neutral AR 0.00 0.00 1.87 0.70 �0.06 0.35
Temperature variation (PC2) Neutral AR 0.00 0.00 1.87 0.98 �0.13 0.16
Measures of MHC diversity were z-standardized by group (lower basin vs. upper basin). The partial Mantel tests reported here compared
the relationship between temperature variables and genetic diversity while controlling for neutral structure as measured by pairwise-FST at
90 neutral SNPs (Table S4). Lm R2 is the correlation coefficient of the linear regression that has been adjusted for the number of predictors
in the model, Lm slope is the slope of the regression, Lm int is the intercept of the regression, Lm P is the P-value of the regression, Mantel
R is the correlation statistic for the Mantel test, and Mantel P is the P-value for the Mantel test. Significant relationships are in bold. See
Table 2 for more information on the variables used in this analysis and Fig. 4, Fig. S4 for visualizations of each regression.
−4 −2 0 2 4
−2−1
01
2
Upper basinLower basin
Sta
ndar
dize
d H
O
(a) MHC
Temperature (PC1)−4 −2 0 2 4
0.22
0.23
0.24
0.25
0.26
0.27
0.28
HO
(b) Neutral
Temperature (°C)68101214
Fig. 4 Relationship between water temperature (PC1, Fig. 3), and HO for (a) the major histocompatibility complex (MHC) and (b) 90
neutral SNPs. Points are coloured by average summer temperature (July 1–August 31). The relationship between temperature and HO was
significant for the MHC (P < 0.001) but not for the neutral SNPs (P = 0.54). Regression statistics are found in Table 3, and regressions not
shown here are found in Fig. S4.
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8 W. A. LARSON ET AL.
overdominance (Takahata & Nei, 1990; Slade & McCal-
lum, 1992). The negative frequency-dependent selec-
tion hypothesis postulates that rare alleles confer a
selective advantage when individuals are exposed to
new pathogen strains or species, leading to the presence
of many rare alleles (high AR) in populations experienc-
ing high pathogen loads, whereas the overdominance
hypothesis suggests that heterozygosity will increase
when pathogen-mediated selection is strong because
heterozygous individuals are resistant to a wider array
of pathogens. The significant relationship that we
observed between temperature and MHC HO suggests
that the strength of overdominant selection at the MHC
in our study system may increase with temperature.
Evidence for a similar increase in negative frequency-
dependent selection (increase in AR) with temperature
was generally absent. However, it is important to note
that distinguishing between negative frequency-depen-
dent selection and overdominance at the MHC in wild
populations has proven to be extremely difficult (Ejs-
mond et al., 2010; Spurgin & Richardson, 2010). There-
fore, we cannot definitively separate the effects of
temperature on overdominant and negative frequency-
dependent selection in our study system.
We did not observe a significant relationship between
within-stream variability in temperature and MHC
diversity. These results suggest that the strength of
pathogen-mediated selection is more influenced by
average thermal conditions rather than temperature
variability in our study system. The few studies investi-
gating the relative influence of temperature and tem-
perature variation on pathogen prevalence and
virulence demonstrate a complex interplay between
these two variables (e.g. Paaijmans et al., 2010; Van-
gansbeke et al., 2015). For example, Paaijmans et al.
(2010) found that high temperature variation at low
temperatures can increase malaria transmission in
humans, whereas high temperature variation at high
temperatures decreases transmission. Temperature vari-
ation likely influences pathogen communities in our
study system, but the complexities of these interactions
may have prevented us from demonstrating a clear
relationship between temperature variation and MHC
diversity.
Major histocompatibility complex diversity differed
significantly between population groups, with popula-
tions from the upper basin (lakes Beverly and Nerka),
displaying higher diversity than lower basin populations
(Lake Aleknagik). Larson et al. (2014) also observed dif-
ferences in MHC diversity among lakes in the Wood
River basin in addition to differences among spawning
ecotypes (beach, river, stream). Sockeye salmon in the
Wood River basin spend a large portion of their life
cycle (up to 3 years) rearing in nursery lakes and likely
spend the majority of this time in lakes that are proxi-
mate to their streams of origin (Quinn, 2005). These
juvenile salmon are exposed to different environments
depending on the lake that they inhabit, possibly
resulting in the differences in MHC diversity that we
observed due to differences in pathogen exposure (c.f.,
McClelland et al., 2013; Miller et al., 2001). For exam-
ple, it is possible that pathogen communities in Lakes
Nerka and Beverley are more diverse than those in
Lake Aleknagik, resulting in higher levels of MHC
Table 4 Results of multiple linear regressions investigating the relationship between unstandardized genetic diversity (response variable)
and two predictor variables (temperature and basin).
Response
variable
Temperature
variable
Temp
est
Temp
err
Temp
T
Temp
P
Basin
est
Basin
err Basin T Basin P All R2 All P
Temp
rel imp
Basin
rel imp
MHC HO Temperature (PC1) 0.023 0.007 3.368 0.006 0.296 0.035 8.520 0.000 0.882 0.000 0.190 0.810
MHC HO Temperature
Variation (PC2)
0.011 0.014 0.804 0.438 0.320 0.047 6.766 0.000 0.773 0.000 0.011 0.989
MHC AR Temperature (PC1) 0.267 0.238 1.123 0.286 5.228 1.199 4.361 0.001 0.618 0.002 0.115 0.885
MHC AR Temperature
Variation (PC2)
�0.284 0.366 �0.777 0.453 5.465 1.209 4.519 0.001 0.596 0.003 0.033 0.967
MHC aa div Temperature (PC1) 0.001 0.001 1.663 0.125 0.036 0.003 10.770 0.000 0.908 0.000 0.066 0.934
MHC aa div Temperature
Variation (PC2)
�0.001 0.001 �0.888 0.394 0.037 0.004 10.437 0.000 0.893 0.000 0.010 0.990
Neutral HO Temperature (PC1) 0.000 0.001 �0.390 0.704 �0.004 0.003 �1.286 0.225 0.006 0.386 0.139 0.861
Neutral HO Temperature
Variation (PC2)
0.001 0.001 1.568 0.145 �0.004 0.003 �1.485 0.166 0.176 0.137 0.527 0.473
Neutral AR Temperature (PC1) 0.000 0.001 �0.260 0.800 �0.004 0.007 �0.595 0.564 �0.130 0.783 0.213 0.787
Neutral AR Temperature
Variation (PC2)
0.000 0.002 �0.038 0.971 �0.004 0.007 �0.657 0.525 �0.137 0.809 0.002 0.998
Abbreviations for the genetic and temperature variables used for each regression are found in Table 2 and basin designations (lower vs.
upper) are found in Table 1. Temperature is abbreviated temp, estimate is abbreviated est, error is abbreviated err, and T is the t-statistic
from the multiple regression. Significant P values (P < 0.05) are in bold. Rel imp is a metric of the relative importance of each variable in
the regression and was calculated using the lmg method implemented in the R package relaimpo. Larger values indicate higher importance.
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Association between MHC and temperature in salmon 9
diversity in sockeye salmon that spawn in tributaries
connected to these lakes. It is also possible that differ-
ences in pathogen virulence among these lakes may be
responsible for the MHC diversity that we observed. No
previous studies have investigated differences in patho-
gen communities among lakes in the Wood River basin,
but future research in this area could illuminate poten-
tial drivers of MHC variation.
Comparison of our results with a previous study in
Atlantic salmon (Dionne et al., 2007) provides further
support for our conclusions and also highlights poten-
tially important differences between salmon species.
Dionne et al. (2007) sampled 34 populations of Atlantic
salmon over a large latitudinal gradient and observed a
positive relationship between temperature and MHC
diversity (measured as AR and aa div). A positive linear
relationship also existed between temperature and
MHC HO (P < 0.01, not originally reported in Dionne
et al., 2007). The results from our study are generally
similar to those of Dionne et al. (2007). However, the
05
1015
2025
Tem
pera
ture
(°C
)
July 1 July 15 Aug 1 Aug 15 Aug 31
05
1015
2025
July 1 July 15 Aug 1 Aug 15 Aug 31
05
1015
2025
Tem
pera
ture
(°C
)
July 1 July 15 Aug 1 Aug 15 Aug 31
05
1015
2025
July 1 July 15 Aug 1 Aug 15 Aug 31
(a) Stovall (b) Lynx Cold Tributary
(c) Whitefish (d) Bear
Fig. 5 Plots of July and August temperatures for four streams sampled in 2013. The plot illustrates differences in thermal regimes for two
warm streams [(a) Stovall and (c) Whitefish] and two cold streams [(b) Lynx Cold Tributary and (d) Bear]. Grey points represent
individual temperature measurements, and a line of best fit was constructed using a locally weighted scatterplot smoothing (LOESS)
regression. The red vertical line indicates the average date that salmon enter each stream (Table S1), the light red shading indicates the
average period of adult salmon residence within each stream (~ 3 weeks), and the darker red shading indicates the peak period of the
spawning season (~ 2 weeks). Plots for all streams and years sampled are available in Fig. S5.
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10 W. A. LARSON ET AL.
ranges of HO, AR and aa div in our study were over two
times larger, despite the fact that Dionne et al. (2007)
sampled nearly the entire latitudinal range of Atlantic
salmon in North America. Additionally, Dionne et al.
(2007) found that variation in MHC diversity occurred
over broad spatial scales, contrasting the fine-scale dif-
ferentiation observed in our study. The large differences
in patterns of MHC diversity between sockeye and
Atlantic salmon parallel the thermal tolerance charac-
teristics of these species. Sockeye salmon show large
differences in thermal tolerance over extremely small
spatial scales (Eliason et al., 2011, 2013), whereas
Atlantic salmon show little variation in temperature tol-
erance over large latitudinal gradients (Anttila et al.,
2014). This similarity between surveys of MHC varia-
tion and thermal tolerance suggests that Atlantic sal-
mon may have adopted a more generalist approach to
cope with high temperatures and the associated high
levels of pathogens, whereas sockeye salmon appear to
be locally adapted to the thermal regimes and pathogen
communities present in the environments that they
experience.
Values of MHC HO in warm streams from lakes Bev-
erly and Nerka were close to a maximum value of one,
suggesting that continued selection favouring heterozy-
gous individuals over individuals with specific MHC
alleles is unlikely to result in fitness increases. Dionne
et al. (2007) also observed this apparent maximum pla-
teau of selection. Specifically, Dionne et al. (2007)
observed that MHC diversity increased rapidly at rela-
tively low temperatures but increased more slowly as
temperatures increased. The idea of a maximum pla-
teau of adaptation was tested empirically by Silander
et al. (2007), who found that the fitness of populations
adapting to their environment does not increase indefi-
nitely due to the finite nature of natural populations
and the effects of mutation. These results along with
those of our study suggest that natural populations can
reach a plateau of adaptive potential that may prevent
them from adapting to environmental changes such as
those expected from climate change. In this case, other
evolutionary mechanisms, such as behavioural avoid-
ance of high temperatures through changes in spawn
timing, may help maintain population persistence
(Reed et al., 2011).
Salmonids commonly show population-specific dif-
ferences in migration and spawn timing associated
with spawning ground temperature (Webb & McLay,
1996; Beechie et al., 2006; Kovach et al., 2015). This
variation is typically attributed to differences in the
rate of larval development between warm and cold
streams (Quinn, 2005). However, populations from
warmer streams that delay spawning by a few weeks
are also less likely to encounter lethal temperatures
as streams become progressively cooler in the late
summer and early fall (Miller et al., 2014; Lisi et al.,
2015). For example, we show that salmon spawning
in two warm streams (Stovall and Whitefish) avoided
potentially lethal temperatures in July 2013 because
they consistently do not enter these streams until
early August and likely remained in cool water of
the lake during periods of warm weather prior to
spawning. Temperatures in Stovall Creek in particular
approached or exceeded the five day lethal tempera-
ture for sockeye salmon (22 °C, Servizi & Jensen,
1977) for more than five days in July 2013, indicat-
ing that salmon entering the stream during this time
would have likely experienced high levels of pres-
pawn mortality (Crossin et al., 2008). Further, Lisi
et al. (2015) showed that water temperatures in Sto-
vall and Whitefish creeks are highly sensitive to
changes in air temperatures, such as those experi-
enced during heat waves, and may have experienced
substantially warmer temperatures in the past than
documented here. Taken together, these results sug-
gest that delayed spawn timing in warm streams
could complement MHC diversity by representing a
flexible, but heritable life-history strategy for avoiding
both thermal stress in midsummer and the increased
prevalence and virulence of pathogens associated with
warm temperatures.
Our study provides some of the first evidence that
fine-scale differences in temperature can influence
MHC diversity. We hypothesize that the variation in
MHC diversity that we observed is due to variable
selection pressures caused by differences in pathogen
communities or pathogen virulence among habitats.
Although a strong relationship between temperature
and pathogen diversity, prevalence and virulence has
been previously demonstrated (e.g. Mitchell et al.,
2005; Luque & Poulin, 2008; Karvonen et al., 2013),
we cannot definitively conclude that all of the patterns
that we observed are due to pathogen-mediated selec-
tion because we did not directly sample pathogens –only the association between temperature and MHC
diversity. Future studies should attempt to quantify
pathogen communities and pathogen virulence across
our study system to confirm the relationships that we
discussed. Additionally, the relationship between tem-
perature and MHC diversity should be investigated in
other systems to confirm that the patterns we observed
are not simply a result of the unique nature of the
Wood River basin.
In conclusion, we found that MHC diversity was
highly influenced by lake basin but also discovered a
significant positive relationship between water tempera-
ture and MHC diversity that was not likely produced
through neutral processes. This result suggests that dif-
ferences in temperature among proximate streams may
influence pathogen-mediated selection and promote
population diversity on the scale of only a few kilome-
tres. Additionally, we postulated that variation in
spawn timing among populations may represent an
adaptive behavioural mechanism for avoiding summer
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Association between MHC and temperature in salmon 11
thermal stress and the increased pathogen prevalence
and virulence associated with high temperatures. Our
findings are especially relevant given the anticipated
impacts of climate change. Many studies have
attempted to address whether organisms will be able to
adapt to a changing climate (reviewed in Hoffmann &
Sgro, 2011). Although these studies often assume that
responses to climate change will be similar across rela-
tively large spatial scales (1000s of km), our findings
suggest that adaptation to climate change may also
occur on much smaller scales. This fine-scale diversity
can help to maintain ecosystem stability and ecological
processes (Schindler et al., 2015), even in the face of
environmental fluctuation.
Acknowledgments
We thank the Alaska Department of Fish and Game,
especially Tyler Dann, for providing data for this pro-
ject. Additionally, we thank Chris Boatright, Jackie Car-
ter, and multiple field technicians and graduate
students from the Alaska Salmon Program for assisting
with sample collection and providing additional data.
We also thank Carita Pascal for her excellent laboratory
assistance, Curry Cunningham, Rachel Hovel and Jan-
ice Kerns for statistical advice, Kristen Gruenthal for
her editorial comments, and the staff of the Wood-
Tikchik State Park for enabling our research. Funding
was provided by grants from the US National Science
Foundation, Gordon and Betty Moore Foundation,
Western Alaska Landscape Conservation Cooperative,
and the Harriet Bullitt Professorship. WAL and PJL
were supported by US National Science Foundation
Graduate Research Fellowships (grant # DGE-0718124).
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Supporting information
Additional Supporting Information may be found
online in the supporting information tab for this article:
Figure S1 Principal component analysis (PCA) of tem-
perature variables with the loadings for each variable
labelled. Population numbers are adjacent to each point
and correspond to those from Table 1. Circles corre-
spond to upper basin populations and triangles corre-
spond to lower basin populations. Variable loadings are
plotted with arrows. See Table 2 for more information
on the variables used in this analysis.
Figure S2 Principal component analysis (PCA) of
genetic diversity at the MHC and neutral markers
across the 14 streams in this study. Population num-
bers are adjacent to each point and correspond to
those from Table 1. Circles correspond to upper basin
populations and triangles correspond to lower basin
populations. Variable loadings are plotted with arrows
and points are coloured by average summer tempera-
ture (July 1–August 31). See Table 2 for more infor-
mation on the indices of genetic diversity used in this
analysis.
Figure S3 Principal component analysis (PCA) of MHC
diversity across the 14 streams in this study. Population
numbers are adjacent to each point and correspond to
those from Table 1. Circles correspond to upper basin
populations and triangles correspond to lower basin
populations. Variable loadings are plotted with arrows
and points are coloured by average summer tempera-
ture (July 1–August 31). See Table 2 for more informa-
tion on the indices of MHC diversity used in this
analysis.
Figure S4 Relationships between temperature (PC1,
Fig. 3), and temperature variation (PC2, Fig. 3) for
three MHC diversity indices and two neutral diversity
indices. MHC diversity indices are z-standardized and
points are coloured by average summer temperature
(July 1–August 31). Regression statistics for each com-
parison are found in Table 3.
Figure S5 Plots of July and August temperatures for
each stream and sampling year. Grey points represent
individual temperature measurements, and a line of
best fit was constructed using a locally weighted scat-
terplot smoothing (LOESS) regression. The red vertical
line indicates the average date that salmon enter each
stream (Table S1), the light red shading indicates the
average period of adult salmon residence within each
stream (~ 3 weeks), and the darker red shading indi-
cates the peak period of the spawning season
(~ 2 weeks).
Table S1 Detailed genetic and environmental data for
each sample collection. Collection names and numbers
correspond to those in Table 1 and Fig. 1. N is the
number of individuals sampled. Measures of genetic
diversity were z-standardized. The Temperature (PC1)
and temperature variation (PC2) predictor variables
represent PCA scores derived from the PCA in Fig. 3
and the response variables are described in Table 2.
Table S2 Sampling dates (in Julian days) and Tempera-
ture data for each stream and year included in the
study. Temperature and temperature variation variables
correspond to those described in Table 2. Temperature
variables are in °C. Data in bold are averages across
years including and not including years with missing
data (see methods).
Table S3 Results from an analysis of variance investi-
gating the amount of variation in thermal variables that
was partitioned among streams compared to among
years. Abbreviations for thermal variables are found in
Table 2. Significant P values (P < 0.05) are in bold.
Table S4 Pairwise-FST values for each population calcu-
lated with 90 neutral SNPs. Population numbers corre-
spond to those in Table 1 and Fig. 1.
Table S5 Model selection analysis for the relationship
between standardized MHC HO and temperature (PC1,
Fig. 3). The best model as chosen by AIC is in bold.
Table S6 Results of a multiple linear regression investi-
gating the relationship between standardized MHC
heterozygosity and five temperature variables. Abbrevi-
ations for temperature variables are found in Table 2.
Relative importance is a metric of the relative impor-
tance of each variable in the regression and was calcu-
lated using the lmg method implemented in the R
package relaimpo. Larger values indicate higher impor-
tance. The adjusted R2 for this regression was 0.60 and
the P-value was 0.02.
Received 8 December 2015; revised 16 June 2016; accepted 23 June
2016
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14 W. A. LARSON ET AL.