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Delineation and Validation of River Network Spatial Scalesfor Water Resources and Fisheries Management
Lizhu Wang • Travis Brenden • Yong Cao •
Paul Seelbach
Received: 14 February 2012 / Accepted: 8 August 2012
� Springer Science+Business Media, LLC 2012
Abstract Identifying appropriate spatial scales is critically
important for assessing health, attributing data, and guiding
management actions for rivers. We describe a process for
identifying a three-level hierarchy of spatial scales for
Michigan rivers. Additionally, we conduct a variance
decomposition of fish occurrence, abundance, and assem-
blage metric data to evaluate how much observed variability
can be explained by the three spatial scales as a gage of their
utility for water resources and fisheries management. The
process involved the development of geographic informa-
tion system programs, statistical models, modification by
experienced biologists, and simplification to meet the needs
of policy makers. Altogether, 28,889 reaches, 6,198
multiple-reach segments, and 11 segment classes were
identified from Michigan river networks. The segment scale
explained the greatest amount of variation in fish abundance
and occurrence, followed by segment class, and reach.
Segment scale also explained the greatest amount of varia-
tion in 13 of the 19 analyzed fish assemblage metrics, with
segment class explaining the greatest amount of variation in
the other six fish metrics. Segments appear to be a useful
spatial scale/unit for measuring and synthesizing informa-
tion for managing rivers and streams. Additionally, segment
classes provide a useful typology for summarizing the
numerous segments into a few categories. Reaches are the
foundation for the identification of segments and segment
classes and thus are integral elements of the overall spatial
scale hierarchy despite reaches not explaining significant
variation in fish assemblage data.
Keywords River segment � Classification � Validation �Fish assemblage � Spatial scale � River network
Introduction
Identifying appropriate spatial scales for attributing data,
assessing river health, and implementing management
actions is critically important for those who study, manage,
and use river systems. Currently, the most commonly used
spatial scale/unit are individual sampling sites, which typi-
cally range from 0.1 to 2.0 km in length, depending on tax-
onomic groups of interest and stream sizes (e.g., Lyons 1992;
Barbour and others 1999; Cao and others 2001; Pearson and
others 2011). Although individual sampling sites may pro-
vide reliable data at sampled locations, they do not readily
permit extrapolation of information to un-sampled areas
(Fausch and others 2002; Fayram and others 2005; Wang and
L. Wang (&) � P. Seelbach
Institute for Fisheries Research, Michigan Department of Natural
Resources, University of Michigan, 1109N University,
Ann Arbor, MI 48109, USA
e-mail: [email protected]
Present Address:L. Wang
Great Lakes Regional Office, International Joint Commission,
100 Ouellette Avenue, 8th Floor, Windsor, ON N9A 6T3,
Canada
T. Brenden
Quantitative Fisheries Center, Department of Fisheries
and Wildlife, Michigan State University, 153 Giltner Hall,
East Lansing, MI 48824-1101, USA
Y. Cao
Illinois Natural History Survey, University of Illinois,
1816 S Oak Street, Champaign, IL 61820, USA
Present Address:P. Seelbach
Great Lakes Science Center, US Geological Survey,
1451 Green Road, Ann Arbor, MI 48105, USA
123
Environmental Management
DOI 10.1007/s00267-012-9938-y
others 2006), which is important because managers are
responsible for entire river networks lying within their
jurisdictions, and limited resources will never permit direct
sampling of most attributes throughout entire river systems.
With the increased demands of addressing land use or cli-
mate change issues, and taking an ecosystem approach to
resource management, identifying and validating appropri-
ate spatial scales/units for extrapolating information from
sampled sites to unsampled areas is of utmost importance to
natural resource management agencies.
Recent advances in fluvial ecology provide both theoret-
ical and operational frameworks for the identification of
appropriate river spatial scales and units. River systems were
historically regarded as heterogeneous networks with every
stream considered to be unique (Hynes 1975), which chal-
lenges both the study and management of rivers (Fausch and
others 2002). In the early 1980s, the river continuum concept
(RCC) was proposed as the first influential model to gener-
alize the heterogeneity of river systems into a holistic
description of the progressive longitudinal changes in
physicochemical, channel morphological, and biological
characteristics that occur along a river’s course (Vannote and
others 1980). The RCC described a generalized gradient of
physicochemical and geomorphic conditions from headwa-
ter streams to river mouths in a continuous fashion. Some-
what paralleling the formulation of the RCC was the view of
many fluvial ecologists that river systems could be divided
into discrete river segments that were distinctive in physi-
cochemical and biological characteristics. This view was
formalized as the river serial discontinuity concept (Ward
and Stanford 1983, 1995; Stanford and others 1988), which
recognized that the downstream physicochemical and bio-
logical continua of rivers are predictably interrupted in
response to channel network and valley morphological
variations, such as those caused by geological boundaries,
alternating canyons and floodplains, bedrock intrusions,
tributary confluences, lakes/reservoirs, and landslides. This
discontinuity perspective stresses that some properties of
fluvial systems (e.g., sediment loads and substrate size) are
hierarchically organized in saw-tooth patterns, while other
properties (e.g., channel width and flow discharge) are
organized in stair-step patterns from headwaters to river
mouths (Rice and others 2001; Ferguson and others 2006).
Such stair-step patterns and the associated physical, chemi-
cal, and biological characteristic changes of river systems
indicate potential natural breaks of river spatial units, and
make it possible to identify relatively homogenous medium-
scale river sections that lie between finer-scale heteroge-
neous and larger-scale continuous river systems.
Advancements in geographic information system (GIS)
technology and increased availability of regional and
national river survey databases have improved the acquisi-
tion of representative data needed to extrapolate data to
entire river networks. The early work of such extrapolation
efforts focused on river classification and assumed that
information from a particular sampling site represented a
particular class such as an ecoregion, a catchment size group,
a river size group, or a channel type that the sampling sites
belong to. Although classification frameworks have been
used by environmental assessment and fisheries manage-
ment programs for decades, the ecological relevance of most
classification frameworks is weak or unknown (e.g., Haw-
kins and others 2000; Pyne and others 2007) because pro-
cesses used in developing the frameworks have often lacked
scientific rigor (Simon and others 2007, 2008) or been crit-
icized for over-simplifying how physical environments
affect biological communities (e.g., Cao and others 2007).
Furthermore, most management and restoration practices are
implemented at relatively small scales, but many classifi-
cations are designed for large scales. For state and regional
water resource and fisheries programs, there is a clear man-
agement need to map appropriate river spatial scales/units,
attribute data that describe key characteristics of the different
scales/units, and identify the ecologically meaningful break-
point values for the key parameters so that the mapped river
scales/units in a specific region can be classified into types
for meeting assessment and management needs.
The pioneering work of mapping, attributing, and classi-
fying mid-scale river units across a region was a manual,
expert-opinion process that was conducted on rivers in
Michigan’s lower peninsula (Seelbach and others 1997). In
this early work, river valley segments believed to be rela-
tively homogenous in hydrologic, limnologic, and geomor-
phic characteristics were delineated as the grain for
classification (Seelbach and others 1997; Seelbach and oth-
ers 2006). River valley segment boundaries were identified
by viewing river network maps in relation to thematic
landscape maps (e.g., elevation, land cover, surficial geol-
ogy, and slope) within a GIS environment and manually
demarcating boundaries based on scientists’ knowledge of
how landscape and network factors influence instream
physicochemical and biological characteristics of a river.
The scientists then qualitatively assigned physicochemical
and biological attribute-classes to each river valley segment.
Similar efforts, including hierarchical classification of mul-
tiple spatial scale/units, were conducted for rivers in the
upper Mississippi River basin, the Great Lakes basin, the
Illinois River basin, Michigan’s upper peninsula, Missouri,
Ohio, and Ontario (Baker 2006; Higgins and others 1998;
Higgins and others 2005; Kilgour and Stanfield 2006; Miller
and others 1998; Sowa and others 2007).
More recently, a collaborative effort involving personnel
from the Institute for Fisheries Research, Great Lakes
Aquatic GAP program, and several state agencies and uni-
versities developed improved procedures for mapping river
spatial units, identifying segment boundaries, assigning
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123
attributes, and identifying segment types for rivers in the
states of Illinois, Michigan, New York, and Wisconsin
(McKenna and others 2009; Brenden and others 2006,
2008a, 2008b). Ultimately, this resulted in the development
of the Great Lakes regional river database and classification
system (GLRRDACS). Compared with previous efforts, the
GLRRDACS used contemporary GIS tools and automated
processes for river reach boundary delineation, river network
descriptor calculation and attribution, and reach catchment
delineation. Additionally, the GLRRDACS combined
objective and subjective approaches to group adjacent river
reaches into river segments and classified river segments into
classes. Many of the individual steps that went into devel-
opment of the GLRRDACS have been rigorously docu-
mented and subjected to peer review, making the process
more scientifically duplicable and defensible (Brenden and
others 2006, 2008a, b). The development of the National
Hydrography Dataset plus (NHDPlus), which includes all
streams and rivers in the conterminous United States, is
similar to the GLRRDACS in that it divides stream networks
into confluence-to-confluence river reaches with each reach
having delineated local and network catchment boundaries.
The NHDPlus makes it possible to readily apply the steps of
the GLRRDACS process to other river networks in the
United States (Wang and others 2011).
Although considerable progress has been made in delin-
eating river reaches, attributing essential network and land-
scape data, merging reaches into river segments, and
identifying segment classes, the validation of these different
spatial scales is still in its infancy. Numerous studies have
reported substantial changes in flow volume and channel
width (Richards 1980; Rhoads 1987; Rice and others 2001),
substrate size and channel slope (Rice and others 2001),
macroinvertebrates (Knispel and Castella 2003), and fish
assemblages (Hitt and Angermeier 2008) at the tributary-
main channel junctions or at lotic-lentic transition locations
of impoundments. However, those studies have focused on
providing evidence that the generally continuous river sys-
tem from headwater to mouth can be divided into discrete
parts based on non-arbitrary distinction at certain spatial
scales and tributary junctions that create ‘‘gaps’’ in the
downstream succession of habitat of a river network (Poole
2002). To date, Warner and others (2010) is the only study
that has specifically evaluated if stream physical habitat
within a river valley segment is relatively homogeneous and
if physical habitats are substantially different among abut-
ting river valley segments. Because dividing river networks
into a hierarchy of spatial units and scales, such as reaches,
segments, and segment classes are becoming common
practice for river research and management, thorough eval-
uation of the variability in biotic assemblages among these
different river network spatial scales would be beneficial for
resource managers.
The objectives of this study were to briefly describe how
the river reaches, river segments, and river segment classes
were developed for all the rivers in the state of Michigan; and
to compare the variations in fish assemblages within and
among river confluence-to-confluence reaches, multiple-
reach segments, and segment classes where sampled fish data
are available. Using Michigan as an example to provide a brief
description of the overall process for delineating these three
hierarchical spatial scales and using fish assemblage to vali-
date the spatial scales would be beneficial because previous
publications only have described the steps used to identify
individual units or scales. Because the patterns of changes in
physical and biological characteristics of river systems are
spatial scale dependent (Rice and others 2001), our study
focused only at these three spatial scales considered mean-
ingful for environmental assessment using fish assemblages
and for fisheries management. Fish assemblage and abun-
dance data were judged to be the most appropriate response
variables for conducting this comparison as this was the biotic
community that either explicitly or implicitly formed the basis
for identifying both river segments and segment classes.
Methods
Description of River Reach and Associated Network
and Landscape Data
Data used for this study were from the GLRRDACS. In this
database, streams and rivers identifiable from the
1:100,000 scale National Hydrography Dataset (NHD)
were divided into individual river reaches defined from
headwater to the first confluence, confluence to confluence,
confluence to lake/reservoir, or confluence to the Great
Lakes (all rivers in Michigan flow into the Great Lakes).
The river system in Michigan consisted of 28,889 reaches
with a median length of 2,197 m (range:\100 to[20,000 m).
For each reach, local (i.e., land surface areas where runoff
draining directly into the stream reach) and network (i.e.,
all upstream land areas where runoff draining into the
upstream reaches by either overland or waterway routes)
catchments were delineated using a 30-m resolution digital
elevation model available for the region. Additionally, we
delineated local and network buffers for each reach, where
buffers were defined as 75-m perpendicular distances on
either side of each stream. See Brenden and others (2006)
for a description of how local and network catchments and
buffers were delineated.
A suite of landscape and river network variables known to
influence habitat conditions and fish assemblages were
attributed to each reach. Landscape descriptors, including
catchment area, soil type and permeability, surficial geology
formation and texture, bedrock type and depth, 20-year July
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mean air temperature, 20-year mean precipitation, catch-
ment slope, and land use/cover within each of the spatial
scales were attributed to each reach. Stream channel
descriptors, including Shreve linkage number, reach gradi-
ent, reach elevation, sinuosity, Strahler stream order, total
upstream stream length, and distances from upstream most
headwaters and from the Great Lakes were also calculated
using ArcInfo functionalities (ESRI 2002). July mean stream
temperatures, stream flow exceedances, channel bankfull
width and depth, wetted stream width and depth, and sub-
strate size were predicted for each stream reach using sta-
tistical models developed from measurements made at a
subset of the reaches (Wehrly and others 2009; Seelbach and
others 2010; Wang unpublished data). See Brenden and
others (2006) for additional details regarding methods for
source data acquisition and variable attribution to the river
reaches.
River Segment Delineation
River segments (RSEGs) were formed by joining adjacent
river reaches that presumably have relatively similar char-
acteristics of hydrology, limnology, channel morphology,
riparian dynamics, and biological communities. RSEGs
have been advocated as appropriate spatial-scale units for
assessing, monitoring, and managing rivers due in part to;
(1) aligning with scale of landscape and network patch
influences on river character; (2) matching distribution and
life history characteristics of stream fishes, and (3) facili-
tating remote identification (Maxwell and others 1995;
Seelbach and others 1994; Seelbach and others 2006; Wang
and others 2006; Brenden and others 2008a). The RSEGs
were initially identified using an agglomerative, non-hier-
archical clustering method based on the cluster affinity
search technique of Ben-Dor and others (1999). Details of
the clustering methods can be found in Brenden and others
(2008a). Briefly, clusters are formed one at a time based on
the affinity of river reaches to the segment being formed in
relation to a pre-specified affinity threshold. The clustering
algorithm is a heuristic method that attempts to find the best
clustering set by allowing river reaches to move to alter-
native river segments in an effort to group reaches with their
highest affinity RSEGs.
The river network and landscape attributes used for
merging reaches into RSEGs were selected from over 200
variables in the GLRRDACS database (Brenden and others
2008a). The selected variables were: loge transformed
network catchment area, percent non-forested wetland type
in network catchments, percent lacustrine surficial geology
in reach catchments, percent moraine surficial geology in
reach catchments, mean reach catchment slope, predicted
July mean reach water temperature, and predicted loge
transformed 90th percentile reach baseflow yield. These
variables were selected using statistical procedures as they
are the strongest determinants of fish distributions in the
Great Lakes region (Brenden and others 2008a). Prior to
partitioning the river network database into RSEGs, the
river attribute data were standardized at a statewide scale
using Z-score standardization.
After the initial clustering of river reaches into RSEGs,
maps of the resulting segments were taken to each of the
eight state fisheries management area offices within the state
of Michigan for field biologists to review and correct some
of the RSEG boundaries. Each biologist reviewed only the
river segments they managed. This was considered an
important step in the GLRRDACS process because possible
model error, dated or inaccurate thematic landscape maps,
and the belief that area biologists would be in the best
position to make corrections based on their familiarity with
local areas or due to their having additional physicochemical
and biological measurements describing the streams under
consideration.
River Segment Classification
Every classification is goal-specific and sacrifices some
information power for the benefits of simplification. Our
RSEG classification was developed specifically for envi-
ronmental assessment and fisheries management. The clas-
sification process involved two steps. First, we classified the
RSEGs based on their statistical association with five fish
assemblages, and predicted July mean water temperature
and network catchment area. Fish assemblages representing
different thermal regimes and river sizes were identified
based on literature review and regional expert opinions.
Water temperature and catchment area were calculated for
each RSEG by weighted averaging of the measurements for
reaches that formed the RSEG. The weights used in the
weighted averaging were based on stream reach lengths in
relation to overall RSEG lengths. These are the variables
known integrators of stream network position, catchment
surficial geology and soil characteristics, landscape topog-
raphy, land cover, and local riparian conditions (Wang and
others 2003; Wang and others 2006). Multivariate regres-
sion trees (De’ath 2002) were then used to relate differences
in abundance of species associations to differences in water
temperature and catchment size, and to ultimately group
RSEGs into different classes (Brenden and others 2008b).
The second step of the classification process was to
modify and simplify the classes that resulted from the
aforementioned statistical analysis to aid in understanding,
communication, and management policy development.
Modifications were based on regional expert opinions,
further statistical analysis (Lyons and others 2009), local
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123
biologists’ field verification, and the needs of water with-
drawal policy (Hamilton and Seelbach 2011) and fisheries
management (Hayes and others 2003). As was the case in
the field biologist review of delineated river segments, this
modification of the RSEG classes was considered useful to
overcome map resolution limits, make use of locally
available survey data and expertise, and ultimately make
the resulting classification system as useful as possible to
natural resource managers and policy makers.
Fish Data
Fish data were from the Michigan stream fish survey database
managed by the Institute for Fisheries Research at Ann Arbor,
Michigan. This database contains survey records where fish
were collected using backpack, tow-barge, boom electro-
fishing units, or rotenone sampling from May to October
between 1982 and 2007. Data collected by rotenone were
corrected for comparability with the rest of the electrofishing
data using ratios from sampling sites that had both electro-
fishing and rotenone data (Seelbach and others 1994; T. Zorn
personal communication). The lengths of wadeable streams
sampled were between 80 and 960 m (median = 152 m)
depending on the size of the streams. For all non-wadeable
rivers, the length of river sampled was 1,610 m. From this
fish sampling database, we selected 335 sampling sites where
a river reach had at least two fish sampling sites, a RSEG had
at least two river reaches with fish data, and a RSEG class had
at least two RSEGs with fish data. In the data selection pro-
cess, we excluded sampling sites that had more than 40 %
agricultural or 5 % urban land uses in their network catch-
ments to minimize the influence of human disturbances on
river habitat and biological communities (Wang and others
2008). From the fish sampling data, we calculated 19 fish
metrics (Table 1) known to be influenced by physical habitat
characteristics (Lyons 1992; Wang and others 2010).
Data Analyses
Pairwise similarities in fish assemblage data between all
sampling sites was calculated using the Bray–Curtis index
(Bray and Curtis 1957). The Bray-Curtis Index is a com-
monly used metric in ecological studies for quantifying the
compositional dissimilarity between two different sites or
two groups of sites (e.g., Faith and others 1987; Anderson
and Willis 2003; Cao and Epifanio 2010). Species abun-
dance data were loge transformed prior to the calculation of
the Bray–Curtis dissimilarities. Similarities were calculated
by subtracting dissimilarities from 1.0. As an initial means of
assessing how fish assemblages vary among the three hier-
archical river spatial scales evaluated in this research, we
compared the within- and between-spatial scale frequencies
Table 1 Fish metrics known to be influenced by physical habitat characteristics and were used to evaluate how much observed variability can be
explained by the three hierarchical spatial scales
Fish metrics Description Mean Range
COLDNB Coldwater fish (number/100 m) 74 0–1,328
COOLNB Coolwater fish (number/100 m) 7 0–907
FSNBHM All fishes (number/100 m) 244 2–5,556
%CARNNB Carnivore fish individuals (%) 40 0–100
%COLDNB Coldwater fish individuals (%) 48 0–100
%COOLNB Coolwater fish individuals (%) 2 0–60
%INSENB Insectivore fish individuals (%) 33 0–95
%INTONB Intolerant fish individuals (%) 32 0–100
%LITHNB Lithophilic fish individuals (%) 24 0–97
%MIDRNB Mid-size river fish individuals (%) 4 0–75
%OMNINB Omnivore fish individuals (%) 6 0–83
%TOLENB Tolerant fish individuals (%) 27 0–100
%WMHDNB Warm headwater fish individuals (%) 20 0–100
SPCNT Total number of fish species 8 1–31
WRMDRIVNB Warm mid-size river fish individuals (number/100 m) 21 0–1,123
WRMHAEDNB Warm headwater fish individuals (number/100 m) 48 0–1,240
WRMHAEDSP Number of warm headwater fish species 2 0–7
WRMRIVNB Warmwater large river fish individuals (number/100 m) 1 0–213
WRMRIVSP Number of warm large river fish species \1 0–4
See Lyons (1992) and Wang and others (2010) for detailed description of the metrics
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123
of sampling sites that had substantially similar fish assem-
blages. We used a threshold of 0.5 to distinguish sampling
sites with substantially similar fish assemblages. Our
expectation was that spatial scales to which fish assemblages
most strongly responded to would have a high within-spatial
scale frequency of sampling sites with similarity values[0.5
and a low between-spatial scale frequency of sampling sites
with similarity values [0.5. Thus, appropriateness was
judged based on the relative differences of the within- and
between-spatial scale frequencies.
For the abundance of all fish species and the presence of
the three most abundant fish species datasets, we performed
a permutational multivariate ANOVA (PERMANOVA;
Anderson 2001a, b; McArdle and Anderson 2001) to eval-
uate how much of the total variance in the fish assemblage
data could be explained by each of the three hierarchical
spatial scales (river reach, RSEG, RSEG class) and to test
whether a particular variance component was significantly
different from random variation. PERMANOVA is con-
ceptually similar to regular multivariate ANOVA and can
be used in a wide variety of complex sampling designs (e.g.,
nested and unbalanced designs); however, there are
important differences between the methods. First, PER-
MANOVA can use any similarity index to measure the
distance between two samples. Second, PERMANOVA
constructs a distribution of F-statistics for evaluating a
particular null hypothesis by randomly permuting the group
labels for the experimental or observational units many
times (e.g., 9999 times) and calculating an F statistic for
each of the permutations. The P-values for statistical sig-
nificance of a factor is the proportion of F-values from the
permutations that are equal or greater than the F-value
observed from the real data (Anderson 2001a).
PERMANOVA tests were conducted on the abundance
of all fish species included in the fish assemblage dataset
and on the presence of only the three most abundant species.
In each case, the Bray–Curtis similarity index was used to
summarize the pairwise differences in the loge transformed
abundances or presence of the species. We chose the Bray–
Curtis similarity index as it has repeatedly been found to be
one of the most robust measures of community similarity in
the literature (e.g., Faith and others 1987; Anderson and
Willis 2003; Cao and Epifanio 2010). Because of the hier-
archical nature of the spatial scales, we treated the scales as
nested effects. The first level consisted of river reaches. The
second level consisted of river RSEGs. The third level was
the RSEG classes. Because our primary interest in this
research was to decompose the variance in the fish assem-
blage data into the different hierarchical spatial scales and
not to test differences between individual factor levels, each
nested effect was considered a random effect. The propor-
tion of variance explained by a given factor was calculated
after accounting for all other factors (i.e., Type-3 analysis),
which is the preferred method when the number of repli-
cates is not equal among groups as in our case (Anderson
and others 2008). PERMANOVA was conducted in PRI-
MER-6 (Clarke and Gorley 2006) using the PERMANO-
VA ? add-on (Anderson and others 2008).
For the 19 fish metrics that were calculated from the fish
assemblage data, generalized linear mixed models (GLMM)
were used to decompose the variance to the three hierar-
chical spatial scales. As with the PERMANOVA analyses,
each nested effect was considered a random effect. For the
abundances of coldwater, abundances of coolwater, abun-
dances of warmwater, abundances of medium river, abun-
dances of warmwater large river, abundances of all fishes,
number of warm headwater species, number of large river
species, and number of all species metrics, GLMMs were fit
assuming a Gaussian distribution and identity link after
loge ? 1 transformation of the metric data. For all other
metrics, GLMMs were fit assuming over-dispersed bino-
mial distributions. The GLMMs were fit by restricted
maximum likelihood estimation, which is the recommended
estimation approach when the focus is on estimating ran-
dom effects because of its accuracy (McCulloch and Searle
2001), in R (R Development Core Team 2011) using the
‘lmer’ function in the ‘lme4’ package (Bates and others
2011). As was done in the PERMANOVA tests of the fish
assemblage data, we used permutations to test whether an
estimated variance component estimated from the GLMM
for a particular fish metric was different from zero. Per-
mutations that were conducted on the GLMMs followed the
methodology described in Fitzmaurice and others (2007),
which is similar to that described for PERMANOVA. To
test whether an estimated variance component was equal to
zero, we calculated a likelihood ratio test statistic using the
full model (all random effects included) and a reduced
model (random effect of interest removed from the model).
We then randomly permuted the labels for the effect of
interest and calculated permuted likelihood ratio test statics.
The P-value for evaluating the statistical significance of the
observed likelihood ratio test statistics was then based on
the proportion of the permutations that yield permutated test
statistics that were as large or larger than the original test-
statistic. According to Fitzmaurice and others (2007), as
few as 200 permutation samples are needed to obtain the
correct Type-1 error rate. To err on the conservative side,
we conducted 499 permutations for each of the fish metrics
and analyzed variance components for testing whether a
variance component was different from zero.
Results
Our delineation framework merged the 28,889 confluence-
to-confluence reaches into 6,198 RSEGs (excluding canal,
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coastal, ditch, or undefined stream lines in the NHD) and
grouped these RSEGs into 11 classes (Table 2; Fig. 1).
Although the initial RSEG classification process followed
the established catchment size and thermal criteria, indi-
vidual site RSEG attributes might fall outside the criteria
range due to the final correction process made by the field
biologists. Warm-stream, warm-transitional-stream, and
cold-stream were the most dominant RSEG class types
(number of RSEGs [1,600; RSEG length [13,000 km),
cold-transitional-stream was intermediate dominant class
type (number of RSEG = 584; RSEG length = 5,795 km),
and cold-transitional-large-river, warm-transitional-large-
river, cold-transitional-small-river, and cold-small-river
were least abundance class types (number of RSEG \50;
RSEG length\700 km). In general, the stream class types
had the shortest (\15 km) and the large river class types
had the longest mean RSEG length (C20 km).
Fish Assemblage Dissimilarity Within and Between
Spatial Scales
The Bray–Curtis index comparison analyses indicated
that the abundances of all fish species assemblage were
generally similar for within river reaches, between river
reaches, and within RSEGs, and were different between
RSEGs, within RSEG classes, and between RSEG clas-
ses (Fig. 2). The percentages of fish assemblage com-
parison pairs that had Bray–Curtis values greater than
0.5 were relatively high for both within reach (46 %)
and between reaches (34 %). The percentage of such
comparison pairs was much higher for within RSEG
(43 %) than for between RSEGs (4 %). The percentages
of such comparison pairs were relatively low for both
within RSEG classes (8 %) and between RSEG classes
(3 %).
Variance Decomposition of the Entire Fish
Community and Three Most Abundant Species
PERMANOVA showed that the RSEG spatial scale
explained most of the variation in abundance of all the fish
species data (40 %), followed by RSEG-class scale (12 %),
and river reach scale (5 %), with the remaining 43 % being
unexplainable variation. The effects of RSEG and RSEG-
class scales were significantly different from random
(RSEG: pseudo F = 3.63, P \ 0.0001; RSEG class:
pseudo F = 2.58, P \ 0.0001); however, the effect of
reach scale was not significantly different from random
(pseudo F = 1.15, P [ 0.05, Table 3).
For the presence of the three most abundance fish spe-
cies, PERMANOVA showed that the RSEG scale again
explained most of the variation (32 %), followed by RSEG
class (12 %), and reach scale (5 %), with the remaining
51 % being unexplainable variation. As was the case for
the total fish abundance data, the effects of RSEG and
RSEG-class scales were significantly different from ran-
dom (RSEG: pseudo F = 2.06, P \ 0.0001; RSEG class:
pseudo F = 3.96, P \ 0.0001); however, the effect of
reach scale was not statistically different from random
(pseudo F = 1.11, P [ 0.05, Table 4).
Variance Decomposition of Fish Metric Data
Of the 19 fish assemblage metrics that were analyzed, the
total amount of variation explained by the RSEG spatial
scales ranged from 11 to 70 % (Table 5). The total amount of
variation explained by the RSEG class and river reach scales
ranged from 0 to 71 % and 0 to 23 %, respectively (Table 5).
RSEGs explained the greatest amount of variation in 13 of
the 19 analyzed fish metrics, with RSEG class explaining the
greatest amount of variation in the abundance and relative
Table 2 River segments (RSEG), valley segment length, segment mean length and range by thermal and size class types in the state of Michigan
RSEG class Number
of RSEGs
Total RSEG
length (km)
Mean and (range)
of RSEG length (km)
Mean July
Temperature (�C)
Catchment
area km2 (mile2)
Cold stream 1,618 13,293 8 (\1–75) \17.5 \207 (80)
Cold small river 36 669 19 (2–49) \17.5 201–777 (80–300)
Cold transitional stream 584 5,795 10 (\1–63) 17.5–19.5 \207 (80)
Cold transitional small river 42 691 16 (\1–48) 17.5–19.5 207–777 (80–300)
Cold transitional large river 16 337 21 (5–72) 17.5–19.5 [777 (300)
Warm transitional stream 1,704 17,144 10 (\1–104) 19.5–21.0 \207 (80)
Warm transitional small river 130 2,129 16 (\ 1-78) 19.5-21.0 207–777 (80–300)
Warm transitional large river 28 573 20 (\1–74) 19.5–21.0 [777 (300)
Warm stream 1,842 27,660 15 (\1–177) [21.0 \207 (80)
Warm small river 133 2,225 17 (\1–81) [21.0 207–777 (80–300)
Warm large river 69 1,360 20 (\1–177) [21.0 [777 (300)
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abundance of coldwater fishes, abundance and number of
species of warm large river fishes, abundance of warm
medium-size river fishes, and number of all fish species.
The amount of variation explained by the RSEG-class
scale was significantly different from zero for all of the fish
metric data except the relative abundances of medium-size
river and coolwater fishes (Table 5). The amount of vari-
ation explained by the RSEG scale was significantly dif-
ferent from zero for all of the fish metric data except the
relative abundance of warmwater large river fish species
(Table 5). Conversely, the amount of variation explained
by the river reach scale was significantly different from
zero for only eight of the 19 fish metrics (Table 5).
Discussion
We described a delineation and classification process for
the identification of a three-level spatial scale hierarchy and
evaluated the capability of the different spatial scales in
explaining variability in fish assemblage data. This process
integrated early conceptual understanding of hierarchical
fluvial systems and landscape ecology (e.g., Frissell and
others 1986; Poff 1997; Montgomery 1999; Rice and others
Fig. 1 Map of the 11 river
segment classes found in the
state of Michigan
Fig. 2 Percentages of Comparison of fish assemblage dissimilarity
within- and between-reaches, within- and between-segments (RSEGs),
and within- and between-RSEG classes using the Bray–Curtis index for
all possible pairs of samples using loge transformed data. The
percentages of all possible pairs of samples with Bray–Curtis index
values[0.5 were for each spatial scale
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123
2001; Poole 2002; Fausch and others 2002; Seelbach and
others 2006) with empirical local knowledge of relation-
ships among catchment geography and in-channel physi-
cochemical and biological characteristics (e.g., Wehrly and
others 2003; Wehrly and others 2006; Seelbach and Wiley
1997; Sowa and others 2007; Zorn and others 2011) using
up-to-date GIS technology, increased available regional
and national river system databases, and sophisticated
statistical procedures.
There is a broad array of potential applications for the
spatial scale delineation and classification process described
herein that would assist natural resource agencies fulfill
Table 3 Nested PERMANOVA of 335 fish samples for variance partitioning by the three hierarchical spatial scales evaluated in this reach—
segment class (Class), segment (RSEG), and river reach (Reach), based on the abundance of all species
Source df MS Estimated variance % of variance explained Pseudo-F P
Class 7 17,979 422.62 11.89 3.63 0.001
RSEG (Class) 115 5,377 1431.40 40.28 2.58 0.001
Reach [RSEG(Class)] 93 1,743 190.12 5.35 1.15 0.065
Residual 120 1,509 1509.20 42.47
Table 4 Nested PERMANOVA of 335 fish samples for variance partitioning by the three hierarchical spatial scales evaluated in this reach—
segment class (Class), segment (RSEG), and river reach (Reach), based on the presence of three most abundant fish species
Source df MS Estimated variance % of variance explained Pseudo-F P
Class 7 19,248 466.85 12.33 3.96 0.001
RSEG (Class) 115 5,209 1196.30 31.59 2.06 0.001
Reach [RSEG(Class)] 93 2,162 170.26 4.50 1.11 0.167
Residual 120 1,954 1953.90 51.59
Table 5 Variance estimates and percentages of total variance explained by segment class (Class), segment (RSEG), and river reach (Reach) for
the 19 fish assemblage metrics using generalized linear mixed models
Fish Variance estimate % of total variance explained
Metrics Class RSEG Reach Residual Class (%) RSEG (%) Reach (%) Residual (%)
COLDNB 1.706 1.322 0.104 0.917 42.1 32.7 2.6 22.6
COOLNB 0.158 0.410 0.110 0.455 13.9 36.2 9.7 40.2
FSNBHM 0.231 0.855 0.159 0.616 12.4 45.9 8.5 33.1
%CARNNB 1.130 2.510 0.271 2.489 17.7 39.2 4.2 38.9
%COLDNB 16.736 4.510 0.000 4.116 66.0 17.8 0.0 16.2
%COOLNB 0.000 3.919 2.098 3.130 0.0 42.8 22.9 34.2
%INSENB 0.862 0.980 0.637 1.280 22.9 26.1 17.0 34.1
%INTONB 0.837 2.431 0.171 3.340 12.3 35.9 2.5 49.3
%LITHNB 1.024 2.650 0.395 1.764 17.6 45.4 6.8 30.2
%MIDRNB 0.000 15.347 0.883 5.638 0.0 70.2 4.0 25.8
%OMNINB 0.685 2.258 0.394 1.151 15.3 50.3 8.8 25.6
%TOLENB 0.592 2.756 0.159 2.160 10.4 48.6 2.8 38.1
%WMHDNB 0.664 2.192 0.127 1.732 14.1 46.5 2.7 36.7
SPCNT 0.145 0.100 0.036 0.104 37.6 26.0 9.4 27.0
WRMDRIVNB 1.125 0.783 0.518 0.584 37.4 26.0 17.2 19.4
WRMHAEDNB 0.967 1.203 0.212 1.225 26.8 33.3 5.9 34.0
WRMHAEDSP 0.049 0.143 0.000 0.152 14.2 41.6 0.0 44.2
WRMRIVNB 0.538 0.085 0.088 0.051 70.7 11.2 11.5 6.6
WRMRIVSP 0.079 0.013 0.014 0.019 63.2 10.2 11.2 15.5
Bold font indicates variance component was significantly different from zero (P \ 0.05). See Table 2 for fish metric abbreviations
Environmental Management
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research, assessment, and management objectives for river
systems at local to national scales (e.g., Snelder and Hughey
2005; Sowa and others 2007; Brenden and others 2008a;
Wang and others 2008; Higgins and Duigan 2009). For one,
the process assembles in a single database the entire stream
and river network structure of a state along with the asso-
ciated descriptors for channel positions, network connec-
tivity, ecological (e.g., ecoregions) and political boundaries,
and local and network catchment natural variation and
anthropogenic disturbances. It also provides management
agencies with the best available information about the
amounts, types, and locations of the aquatic resources and
their associated natural and anthropogenic landscape vari-
ations. This information is available for any specific section
of a river, for an entire river network, and for rivers located
within a specific local area, planning district, state, or
potentially for multistate regions. Such information can
meet the needs of local stakeholders who are interested only
in river reaches in which they have a vested interest;
watershed groups who are interested in specific rivers; local
governments and planners who are managing counties or
districts; state governments who are responsible for rivers
within their state boundaries in identifying and reporting
river resources and conditions within political or ecological
boundaries, by river types, or by socially, economically, or
ecologically important biological communities.
Our study addressed the critical question of whether the
identified river network scales reflect biotic resource charac-
teristics. Acknowledging that the appropriateness of spatial
scales is likely application specific, we judged the perfor-
mance of the scales based on the needs of environmental
assessment and water resource management using fish
assemblage data. There are several advantages of using fish to
identify adequate spatial scales. First, fish assemblages are
commonly used in river bioassessment because fish integrate
physicochemical and biological impacts of human activities at
multiple temporal and spatial scales (e.g., Lyons and others
1996; Karr and Chu 1999; Wang and others 2008). Second,
researchers have sufficient knowledge of habitat needs for
different fish species and life stages and managers have
accumulated local knowledge of fish distribution, which is
important for spatial unit boundary identification and valida-
tion. Last, fishes are socially and economical important
resources and the health of fish assemblages generally is a
good indication of overall ecosystem health.
Our evaluations clearly indicated that river segments are
a useful scale for fisheries management and environmental
assessment. It is generally believed that the confluences of
streams result in the major separation of ecological spatial
units in river systems due to changes in river flow and
physicochemical characteristics at stream intersections.
However, not all tributary confluences result in adjustments
to physical habitat variables to such a degree to cause
changes in biological communities (Rice and others 2001),
which perhaps may explain in part why we found segments
to be much more important than river reaches in explaining
differences in fish assemblage data. Our finding that seg-
ment class explained less variance of fish assemblages than
segments is not surprising given that the original basis for
the classification system was an analysis relating catchment
size and mean July water temperature referencing to rela-
tive abundances of fish groups that were believed to be
strongly influence by river size and thermal features
(Brenden and others 2008b). In contrast, the current study
used the abundance of all fishes, presence of three most
abundance fishes, and fish assemblage metrics to evaluate
the capability of the three hierarchy spatial scales in dis-
tinguishing fish distribution. As a result, the fish assem-
blage data included species that were more generalist with
regards to temperature and river discharge, and hence
segment class explained less fish variation than segments.
When using or viewing a river segment as a spatial scale,
it is important to keep in mind that river systems possess
spatially averaged downstream gradual changes in hydro-
logic and geomorphic properties, physical and biological
characteristics, and ecosystem processes as described in the
river continuum concept (Vannote and others 1980). The
downstream interruptions of the continuum resulted from
tributary confluences, impoundments, and groundwater
contributions (Ward and Stanford 1983; Stanford and others
1988; Townsend 1989; Poole 2002) form the basis of river
reach boundaries that we described. However, the magni-
tude of the interruptions is variable in nature. Hence, the
heterogeneity of river physical and biological properties is
spatial scale dependent. The intermediate segment spatial
scale we described is aimed for environmental monitoring,
assessment, and water resource management using fish as
indicators or targets. For other uses, such as nutrient and
sediment measures, further evaluations may be needed.
When using or viewing river segment classes, it is also
important to keep in mind that classes are generated by
placing boundaries on features (e.g., temperature, water-
shed shed size) that lie on a continuum. Although abrupt
ecological changes form the basis of classification, transi-
tional zones certainly occur, which is supported by our
results that segments explained more variance for fish
assemblages than segment class. Our segment classification
presents a means of describing and managing the diverse
segments by supplying a framework for organizing data,
facilitating generalizations among similar spatial units, and
developing and applying similar management policy
and practices for specific class of spatial units (Seelbach and
others 2006). When applying such classification for other
purposes, additional classifiers may need to be included.
This study describes the entire process of river reach
delineation, multi-reach segment identification, and segment
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123
classification and validation using integrated statistical and
empirical approaches. Acknowledging the advancement in
river classification using different approaches in the litera-
ture (e.g., Leathwick and others 2011; Snelder and others
2012), our spatial hierarchical framework and database
classification system has made substantial contribution to the
similar work in North America. First, the processes of
delineating confluence-to-confluence river reaches, merging
multiple reaches into segments, and classifying segments
into ecological classes are done using sophisticated GIS
programs, modeling, and statistical procedures. Such pro-
cedures can be easily repeated in the same region when more
accurate or updated databases become available or in dif-
ferent regions where the development of such database and
classification is needed. Second, our procedures include a
step that incorporated field biologists’ knowledge to improve
the spatial unit delineation and classification, which also
helps their acceptance by users. Last, although our segment
classification is a very simplified version for meeting the
needs of fisheries management and water resource assess-
ment using fish, our database contains all the detailed data
associated with each river reach. New classification can
always be developed using detailed data for meeting
emerging needs. Our spatial hierarchical framework and
database classification system can only be as good as that of
available data, which can be improved by increased resolu-
tion and accuracy of landscape and river network databases
and by inclusion of additional information, such as more
accurate water temperature and flow measurements or
modeling. Although our work is still relatively coarse with a
best data available scenario, it does provide river researchers,
resource managers, and policy makers with essential infor-
mation and tools to effectively address environmental and
management issues.
Acknowledgments The database and spatial framework described
in this study is a product of a team effort of scientists at the Institute
for Fisheries Research (Michigan Department of Natural Resources),
University of Michigan, Michigan State University, and U.S.
Geological Survey during the past 10 years. We acknowledge Jana
Stewart, Arthur Cooper, Stephen Aichele, Edward Bissell, and Ann
Holtrop who collaboratively played major roles in the development
of the stream network database. We additionally acknowledge Mike
Wiley, John Lyons, Kevin Wehrly, Richard Clark, Troy Zorn,
Edward Rutherford, James Breck, and Beth Sparks-Jackson who were
instrumental in the development of the classification framework. We
thank Minako Edgar for preparing the river classification map, and
the Great Lakes Office of International Joint Commission and Illinois
Natural History Survey for providing in-kind support for manuscript
revision. We are grateful to Jonathan Higgins, Ton Snelder, and an
anonymous reviewer who provided comments that substantially
improved the manuscript. This project was partially supported by
Federal Aid in Sport Fishery Restoration Program, Project F-80-R,
through the Fisheries Division of the Michigan Department of
Natural Resources. This article is contribution 2012-06 of the
Quantitative Fisheries Center at Michigan State University. All views
and opinions presented in this manuscript are solely those of the
authors and do not necessarily reflect those of the agencies that the
authors belong to.
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