Channel evolution of Des Moines Lobe till drainage ditches in southern Minnesota (USA)
Transcript of Channel evolution of Des Moines Lobe till drainage ditches in southern Minnesota (USA)
ORIGINAL ARTICLE
Channel evolution of Des Moines Lobe till drainage ditchesin southern Minnesota (USA)
Joe Magner • Brad Hansen • Tim Sundby •
Geoff Kramer • Bruce Wilson • John Nieber
Received: 8 November 2010 / Accepted: 11 April 2012 / Published online: 4 May 2012
� Springer-Verlag 2012
Abstract Some drainage ditches in the intensively man-
aged row-crop agricultural region of southern Minnesota
evolved from a trapezoidal form to multi-staged channel
forms similar to natural streams. Older ditches constructed
in cohesive sediment of the Des Moines Lobe till tend to
follow a channel evolution model developed by Simon and
Hupp. Site cross sections, longitudinal water and bed
profiles and bed material particle size were determined
according to Harrelson and others at 24 older ditch reaches,
5 newly constructed ditch reaches and 13 natural stream
reaches. Morphological features were hypothesized to
change from trapezoidal form to flat bench banks, similar
to benches found in natural stream channels. All data were
statistically analyzed with respect to drainage area using
regression, because channel form is directly related to
drainage area for a given climate, geology and land use.
Results show similar regression slope and intercept for
bankfull channel width and bankfull cross-sectional area
(CSA) of older ditches and natural streams compared to
typical trapezoidal designed ditches. Evolved ditches
developed a small floodplain bench above the ditch bed and
adjusted their bankfull widths similar to natural stream
channels with respect to drainage area. Old ditches showed
a relatively strong R2 (0.82, 0.68) for channel CSA and
width, a weaker R2 (0.45) for water surface slope, and little
to no correlation with bed particle size. Channel form
appears to have adjusted more quickly than bed facets and/
or bed particle size distribution. However, stepwise
regression determined that D84, width/depth ratio and mean
bankfull depth explained 83 % of the variability of channel
features across varying drainage areas. Findings suggest a
possible reduction of long-term maintenance costs if older
ditches are allowed to evolve over time. A stable ditch
form similar to natural streams is typically self-sustaining,
suggesting that prior to a scheduled clean-out, the ditch
should be examined for hydraulic capacity, sediment
transport and bank stability.
Keywords Drainage ditches � Channel bench/stage �Channel evolution � Channel stability
Introduction
Drainage of land in Minnesota from the mid-1800s onward
was necessitated by the desire to provide arable land for a
growing population in the north-central region of the USA
and for food worldwide. Much of the drainage required the
construction of open-channel ditches to convey water from
agricultural areas within a catchment to the watershed
outlet. Issues of polluted runoff, including sediment and
nutrients, lack of aquatic habitat and long-term channel
sustainability are common problems associated with dit-
ches. Though ditch management is a concern worldwide,
this manuscript will focus on the rural agricultural ditches
associated with the unique geology of the Des Moines
Lobe till (DMLT) located in southern Minnesota (Fig. 1a).
The DMLT has been extensively drained over the past
century (Lenhart et al. 2009). Ditch development has made
the landscape economically viable by allowing landowners
Electronic supplementary material The online version of thisarticle (doi:10.1007/s12665-012-1682-3) contains supplementarymaterial, which is available to authorized users.
J. Magner (&) � B. Hansen � T. Sundby � G. Kramer �B. Wilson � J. Nieber
Department of Bioproducts and Biosystems Engineering,
University of Minnesota, 1390 Eckles Ave.,
St. Paul, MN 55108, USA
e-mail: [email protected]
123
Environ Earth Sci (2012) 67:2359–2369
DOI 10.1007/s12665-012-1682-3
to grow high-value agronomic crops such as corn and
soybeans. However, extensive drainage development has
led to adverse environmental impacts to down gradient
lakes, streams and rivers. One of the issues that the Min-
nesota Pollution Control Agency (MPCA) must address is
excessive fine-grained sediment detachment and transport
that causes violations of the state water quality standards
for turbidity in southern Minnesota streams and rivers.
Reducing excessive turbidity from channel sources will
require smarter management of agricultural ditches in
landscapes that contain silts and clays.
The environmental impact of drainage ditches can be
significant in terms of nutrient and sediment loss from the
catchment. Drainage systems by design move water off the
Fig. 1 a The location and
extent of the Des Moines Lobe
till (DMLT) region across
southern Minnesota into Iowa.
Source: Iowa Geological and
Water Survey (Quade 1998).
b The location of Minnesota
within the USA and the study
area of southern Minnesota with
respect to municipalities and
specific study sites labeled by
numbers found in Table 1
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123
landscape as quickly as possible. Drainage systems (open
ditch and subsurface drainpipes) by-pass natural ecosystem
processes of sediment and nutrient attenuation and
decrease the upland hydraulic residence time. Alexander
et al. (2000) have shown that higher order (larger) streams
have limited ability to attenuate nutrients. Smaller, low-
order streams offer more channel contact capable of
attenuating excess nutrients in runoff, with up to a 50 %
reduction during periods of high biological activity (Pet-
erson et al. 2001). Riparian zone buffer systems are
essential for trapping sediment and sediment attached
phosphorous and providing nitrogen transformation
(Osborne and Kovacic 1993; Magner and Alexander 2008).
Many kilometers of smaller low-order streams have been
converted to drainage ditches in the DMLT plain of
southern Minnesota (Quade 2000). Because drainage dit-
ches are relatively straight channels that are periodically
cleaned out or maintained for hydraulic capacity and sed-
iment transport, they have limited ecological value (Smiley
and Dibble 2005). Biological systems of vegetative and
animal communities connected between riparian zone and
the channel bed are essential for managing and buffering
adverse influences of upland polluted runoff (Stewart et al.
2001; Magner et al. 2008).
Agricultural ditch maintenance in southern Minnesota is
costly to landowners and the general public. Generally,
straight ditches fail to adequately transport sediment,
resulting in the loss of hydraulic capacity via sediment
aggradation. Aggradation will typically flatten the hydraulic
gradient and increase channel hydraulic residence.
Increased hydraulic residence will increase the depth of
flow and backup water in drainpipes. If water fails to flow
adequately in drainpipes, then the soil profile will remain
saturated and limit corn and or soybean crop yield (Blann
et al. 2009). When landowners petition the drainage
authority (county government in southern Minnesota),
drainage inspectors will view the ditch and determine if a
clean-out is required to restore hydraulic continuity. If the
inspectors agree that a clean-out is needed, then a sub-
stantial private and public financial commitment will be
required from the landowners and the drainage authority.
Recently, the Minnesota Drainage Ditch Inspectors Asso-
ciation estimated that *$12 million dollars per year in
Minnesota was spent on drainage ditch maintenance. Blue
Earth County (Fig. 1b) alone spent $650,000 in 2005 and
$1.2 million in 2006 for maintenance of open-channel dit-
ches and subsurface drainpipes (Hansen et al. 2006). In
Ohio, it was estimated that an average of $450/mile is spent
annually on open-channel ditch maintenance (Hansen et al.
2006).
Natural fluvial processes, if allowed to proceed without
human intervention, appear to produce a multi-stage ditch
form. Trapezoidal channel features of a Swift County ditch
unravel over time as a direct result of channel over-wid-
ening; the channel evolved to a two-stage form (Christner
et al. 2004). Powell et al. (2007a) have suggested that a
new design and maintenance approach is needed to reduce
adverse environmental impacts and the cost of ditch
maintenance. Current ditch designs use recurrence intervals
of 10–100 years. Channel-forming flows are normally
associated with a 1.0- to 2.0-year recurrence intervals
(Simon et al. 2004) and may be as frequent as 0.5-year for
some intensively drained catchments (Powell et al. 2007a).
Typical over-designed channels appear to require channel
adjustment based on the channel-forming or bankfull flow
(Rosgen 1996). An underlying design assumption used for
ditches in the DMLT was that a flat landscape would have
low unit stream power and the cohesive soil would provide
flow resistance allowing the channel to remain stable. Ward
et al. (2004) suggested that a two-stage design, based on
the principles of fluvial geomorphology, will require less
frequent and less substantial maintenance. Given less dis-
turbance, such a design would also likely encourage
healthier aquatic ecosystem by limiting excess sediment
disturbance associated with a ditch clean-out (Powell et al.
2007b).
Given private and public desire to reduce adverse
environmental impacts and ditch maintenance costs in
southern Minnesota, baseline morphologic information was
needed to assess the current channel evolution of southern
Minnesota streams and ditches and the potential usefulness
of a more natural and stable ditch design (Ward et al. 2004;
Powell et al. 2007a). Therefore, the objectives of the study
were to: (1) develop empirical relationships between
channel morphological variables with respect to drainage
area, (2) determine if ditch age significantly influenced
channel morphology and (3) determine if the morphology
of ditches was significantly different from the morphology
of unmanaged natural streams found in the DMLT.
Methods
Description of the DMLT
The DMLT was created by multiple advances and retreats
of the Laurentide Ice Mass. The landscape left behind was
relatively flat, including historic lacustrine plains, more
rolling ground moraine with some hillier stagnation mor-
aines. Tills deposited by the Des Moines Lobe was the
result of lithologically distinct till sheets corresponding to
unique ice-stream source areas and the varying dominance
of nearby and competing ice streams and their tributaries
(Lusardi et al. 2011).
In general, however, a dense blue-gray calcareous loamy
till underlies weathered less dense olive-brown clay loam
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123
subsoil. In the western portion of Minnesota, the till is
underlain by Cretaceous deposits, mostly sandstone,
whereas sites east and south of the Minnesota River bend
near Mankato, Minnesota are underlain by layers of
Cambrian and Ordovician sandstone, limestone and shale.
Given the relatively flat terrain underlain by relatively
poorly drained soils, drainage network development was
estimated to be ‘‘immature’’ compared to other regions of
the USA (Quade 2000) as the land was developed for
agricultural use. The historic hydrologic budget was
dominated by precipitation and evapo-transpiration with
limited interflow through the upper olive-brown till into
prairie lakes and wetlands (Leach and Magner 1992). Deep
groundwater recharge into bedrock aquifers was limited by
the dense blue-gray till. Though the till is generally con-
sidered saturated, the low hydraulic conductivity
(*10-8 cm/s) and concordant anisotropy force subsurface
water to primarily move laterally (Magner et al. 1993).
Depending on the landscape terrain, the weathered or
ablation till functioned as a shallow aquifer where water
primarily moved through preferential fractures or mac-
ropores. In the upper two meters of soil, weathering has
allowed the development of secondary porosity such that
water today drains rapidly to drainage outlets, given a
hydraulic head. The twenty-first century drainage network
of agricultural land found throughout southern Minnesota
and northern Iowa would not exist if the upper till was not
fractured, allowing rapid preferential movement of runoff
water. The creation of artificial channels (ditches) and
enlarged preferential fractures (subsurface drainpipes)
represent the current day ‘‘matured’’ drainage system found
in DMLT. Land use management coupled with a mature
drainage network has resulted in ecologically impaired
water quality (Lenhart et al. 2009; Minnesota Pollution
Control Agency 2010).
Field site selection and metric measurement
To develop the specific hydraulic relationships associated
with watershed characteristics, it was decided to use only
ditches that were old enough (not maintained within
10 years) to potentially start forming a bankfull bench. The
formation of a bench indicates that the ditch has started to
develop a floodplain similar to the evolved incised natural
stream stage V as defined by Simon and Hupp (1986). Five
ditches were defined as new, \5 years old with a trape-
zoidal form. Thirteen natural channel reaches were mea-
sured and served as reference reaches for typical DM LT
region as suggested by Rosgen (1996, 2001). Data were
collected across the intensively managed row-crop terrain
over varying scales from 29 ditch reaches and 13 natural
stream reaches from 2003 to 2005 (Fig. 1b). For relatively
easy access, most sites were located up- or downstream of a
bridge or road culvert. Crossing effects were noted and
sites were located in a fashion that minimized their influ-
ence upon the collection of survey data. Surveys were
conducted using techniques outlined in Harrelson et al.
(1994), including channel cross sections, channel bed and
water surface longitudinal profiles, and a particle size
distribution of bed sediment.
The number of cross sections measured ranged from 1 to
3 depending on reach complexity. For each study reach, a
longitudinal profile survey was completed over a channel
length equal to at least 20 bankfull channel widths.
Regional hydraulic geometry curves developed Magner
and Steffen (2000) for natural streams in southern Min-
nesota were used to estimate initial channel bankfull width
and cross-sectional area. To facilitate the identification of
the channel-forming or bankfull stage, sharp bends in the
ditch were examined for depositional features. Addition-
ally, these sharp bends often developed a bankfull bench on
the inside bend; depositional flats and subtle bank angle
changes were used to verify bankfull stage by comparing
them to the regional hydraulic geometry curves developed
by Magner and Steffen (2000). Magner and Steffen (2000)
developed relationships for discharge, cross-sectional area,
mean bankfull depth and mean bankfull width from field-
observed bankfull elevations with staff gage heights at the
US Geological Survey (USGS) gaging stations on natural
streams. The underlying assumption is that fluvial pro-
cesses over time will shape and form any channel whether
it began as a ditch or natural channel. Ditch benches could
form at different rates, be higher or lower than natural
stream benches, but over time, a channel-forming geometry
will adjust to its contributing drainage area; thus, the
contributing drainage is typically defined as one of the
dominant controlling factors of channel form (Lawlor
2004).
Bed material particle size was generally measured via
the pebble count method (Harrelson et al. 1994); however,
if the bed consisted mostly of fine-grained silt and clay, a
sample of the bed material was collected at ten locations
over the reach and a particle size analysis was conducted in
the laboratory. Data from these surveys were entered into
Mecklenburg’s Version 2.2 spreadsheet (Mecklenburg and
Ward 2004), which calculated the pertinent hydraulic
relationships necessary to assess channel hydraulics.
Data analysis
Regressions were developed between drainage area and the
bankfull channel metrics of cross-sectional area, mean
width, mean depth, percent channel slope and particle size
(D50 and D84). Statistical differences in the power rela-
tionships between streams and ditches were examined
using the methods given by Kleinbaum et al. (2008).
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123
Differences in intercepts and slopes were determined
independently using t tests. Differences in the coincidence
of the two regression lines were assessed using indicator
variables and the F tests. Lastly, a stepwise regression
(SPSS, version 14.0 software, SPSS Inc., Chicago, IL,
USA) was performed on the eight metrics presented in
Table 1. The objective of the stepwise regression was to
determine which variables could explain the most vari-
ability between channels measured in the study.
Results
Hydraulic geometry and statistical relationships
Table 1 presents the mean values for bankfull channel
cross-sectional area (CSA), mean bankfull width (Wbkf),
mean bankfull depth (dbkf), width/depth (W/d) ratio, per-
cent channel slope (S), D50, (cumulative particles finer than
50 or 84 %) and D84. Data are illustrated in Figs. 2, 3, 4, 5,
6 and 7. Sites in Figs. 2, 3 and 5 illustrate similar trends
between the older evolved ditches and natural stream
reaches. Sites 38–42 (new ditches) illustrate the influence
of the trapezoidal design, similar CSA with drainage area
and a uniform channel slope as designed. Though the old
ditch trend line remained above that of the stream trend
line, both old ditches and streams showed similar regres-
sion slopes (0.6, ditch) (0.56, stream) and similar intercepts
(0.26, ditch) (0.21, stream). Evidence of a channel-forming
flow was not found in new ditches, because the banks were
relatively new and had not shifted yet. New ditch data
shown in Fig. 4 show no significant difference between old
ditches, whereas natural streams show the weakest corre-
lation. Nevertheless, all three trend lines converge upon
similar intercepts (0.23, 0.24, and 0.29 for old, new and
streams, respectively). Stream bankfull depth will vary
depending on channel type; whereas most ditches will have
a laterally confined channel type by design.
Based on the methodology of Kleinbaum et al. (2008)
described above, using a 5 % level of significance, there
were no significant differences in the intercepts and slopes
for the variables of width, depth, cross-sectional area and
slope. However, there were significant differences in the
coincidence of the regression lines for depth and cross-
sectional area; data support the findings that lines are
parallel but do not coincide with each other. A significant
difference was found between the slopes of the regression
relationships for D50 and the intercepts for D84. Both D50
and D84 were significantly different in the coincidence of
regression lines.
Figures 6 and 7 illustrate the difference between historic
fluvial processes during drainage network development
following the retreat of the DMLT glaciers. Water washing
over the till, given time with concordant boundary shear,
produced an increase in particle size with increased
drainage area. D50 for natural streams showed a steeper
regression slope and stronger R2 compared to the slope and
R2 for the D84. The particle sizes found in new ditches were
all silt and clay with no trend due to minimal sediment
transport. Particle sizes found in old ditches showed little
to no correlation with relatively flat and slightly reversed
trends compared to natural stream reaches. Both the
intercept for D50 (p = 0.054) and the slope for D84
(p = 0.093) were statistically significantly different at the
10 % level.
These data likely reflect the flat gradient nature of dit-
ches and lack of stream power to transport sediment.
Table 2 presents the results of stepwise regression
modeling. Stream channel variables are largely driven by
present-day geology, climate and land use. Generally, these
factors are relatively constant across the study area. This
means that the predominant dependent variable becomes
drainage area; the larger the drainage area, the larger the
channel. Using the eight metrics presented in Table 1, a
best fit predictor model of channel variables across drain-
age area suggests that D84, mean dbkf and W/d ratio
explained 83 % of the variability.
Discussion
The results of this study suggest that at least some
unmaintained ditches will evolve toward natural stream
channels with respect to bankfull channel width and cross-
sectional area. This suggests that fluvial processes driven
by climate, geology and land use over time will influence a
trapezoidal ditch to adapt and adjust form with respect to
drainage area. Based on close examination of the data
scatter in both Figs. 2 and 3, both old ditches and natural
streams in the DMLT became more uniform after
*44 km2. At scales less than 44 km2, channels appear to
be less equilibrated, perhaps due to changes in climate and/
or land use. For example, the two smallest streams used in
this study have relatively large differences in precipitation;
generally, precipitation increases from west to east across
Minnesota. In Fig. 3 at scales less than 100 km2, there are
data points that could be considered outliers both above
and below the old ditch and stream trend lines.
Mean bankfull depth is typically not visible in new
ditches and can only be estimated based on the use of
regional hydraulic geometry curves. Lateral migration will
always be limited by the incised nature of ditches com-
pared to the typically wider valley walls associated with
natural streams. Clearly, meander pattern extent in evolved
ditches will not approach that of natural channels. Valley
type, (natural valley wall compared to a ditch wall) and
Environ Earth Sci (2012) 67:2359–2369 2363
123
Table 1 Data collected at 42 sites identified in Fig. 1 (A missing data)
Drainage
area (km2)
Cross section
area (m2)
Bankfull
width (m)
Mean bankfull
depth (m)
Width/depth
ratio
Percent
slope
D50
(mm)
D84
(mm)
Old ditch
1 5.85 0.66 1.86 0.40 4.7 0.175 1.5 26
2 6.55 1.01 2.07 0.49 4.3 0.29 0.13 1.5
3 7.56 0.63 2.03 0.30 6.3 0.6 1 50
4 7.67 1.02 2.53 0.40 6.3 0.24 1.1 10.5
5 15.54 2.32 4.91 0.46 10.9 0.035 0.33 0.83
6 20.72 3.73 6.64 0.56 11.82 0.01 0.12 0.57
7 28.49 3.28 5.12 0.64 7.9 0.025 0.33 1
8 33.38 2.10 4.02 0.52 7.7 0.1 6.7 10.7
9 34.68 1.47 3.69 0.40 9.4 0.22 25.2 41
10 38.33 1.30 2.50 0.52 4.9 0.23 0.5 8
11 43.98 2.14 3.87 0.55 7 0.36 0.5 8
12 51.83 1.89 3.84 0.49 7.8 0.098 1.5 5
13 56.62 3.47 5.64 0.61 9.1 0.07 0.2 10.5
14 69.93 3.10 2.13 0.61 8.6 0.031 0.2 0.42
15 88.06 4.50 5.94 0.76 7.9 0.027 A A
16 113.96 3.13 6.19 0.52 12.2 0.17 11 51
17 118.62 3.47 6.46 0.55 12 0.032 0.3 0.6
18 119.14 3.99 6.10 0.65 9.32 0.07 0.30 0.60
19 160.58 4.68 5.73 0.82 7.01 0.09 0.25 0.54
20 162.83 5.81 6.28 0.91 6.8 0.01 0.5 28
21 195.29 5.75 6.22 0.91 6.8 0.005 0.2 21
22 207.20 8.64 9.27 0.94 9.9 0.03 0.45 0.85
23 341.36 15.24 12.98 1.16 11.2 0.01 0.5 4
24 580.16 15.61 13.39 1.16 11.5 0.0044 A A
Stream
25 6.35 1.02 2.04 0.52 4.2 0.2 0.4 2
26 6.50 0.22 1.07 0.21 5 0.17 A A
27 15.46 2.44 3.78 0.64 5.9 0.04 0.2 16
28 44.19 2.03 4.33 0.49 9.3 0.29 A A
29 58.22 0.87 2.68 0.33 8.24 0.11 3.20 170.00
30 71.56 2.73 6.31 0.43 14.57 0.48 4.50 32.00
31 101.19 1.68 3.75 0.46 8.5 0.0019 0.4 2.9
32 123.54 6.14 8.32 0.74 11.28 0.07 A A
33 145.04 2.62 6.68 0.39 17.01 0.08 2.80 7.20
34 145.40 2.61 6.89 0.40 18.1 0.0017 1.4 5.4
35 170.94 5.14 9.14 0.56 16.27 0.46 38.00 120.00
36 214.97 3.73 6.64 0.56 11.82 0.03 18.00 93.00
37 300.44 6.35 8.29 0.77 10.83 0.00 45.00 190.00
New ditch
38 2.75 0.98 3.47 0.27 12.67 0.1 s/c 0.3
39 4.51 1.00 3.32 0.30 10.90 0.07 s/c 1
40 16.99 0.82 2.74 0.30 9.00 0.14 s/c s/c
41 18.34 1.39 3.87 0.37 10.58 0.06 s/c s/c
42 21.24 1.80 4.60 0.40 11.62 A s/c s/c
2364 Environ Earth Sci (2012) 67:2359–2369
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y = 0.2637x0.6045
R² = 0.8237y = 0.2099x0.5599
R² = 0.6099y = 0.7912x0.1661
R² = 0.2436
0.10
1.00
10.00
100.00
1.00 10.00 100.00 1000.00Cro
ss-S
ecti
on
al A
rea
(Sq
-M)
Drainage Area (Sq-Km)
Drainage Area Vs Cross-Sectional AreaDitch Stream NewPower (Ditch) Power (Stream) Power (New)
Fig. 2 Power function regressions of drainage area in square
kilometers plotted against the bankfull cross-sectional area in square
meters of channels presented as Ditch (numbers 1–24, Table 1),
Stream (numbers 25–37, Table 1) and New (numbers 38–42, Table 1)
y = 1.1308x0.357
R² = 0.6781y = 0.7435x0.4382
R² = 0.7699y = 3.1377x0.0546
R² = 0.0717
1.00
10.00
100.00
Ban
kfu
ll W
idth
(m
)
Drainage Area (Sq-Km)
Drainage Area Vs Bankfull WidthDitch Stream NewPower (Ditch) Power (Stream) Power (New)
1.00 10.00 100.00 1000.00
Fig. 3 Power function regressions of drainage area in square
kilometers plotted against the bankfull width in meters of channels
presented as Ditch (numbers 1–24, Table 1), Stream (numbers 25–37,
Table 1) and New (numbers 38–42, Table 1)
y = 0.2338x0.2379
R² = 0.756y = 0.2909x0.1174
R² = 0.1873y = 0.2429x0.1303
R² = 0.662
0.10
1.00
10.00
Ban
kfu
ll D
epth
(m
)
Drainage Area (Sq-Km)
Drainage Area Vs Bankfull DepthDitch Stream NewPower (Ditch) Power (Stream) Power (New)
1.00 10.00 100.00 1000.00
Fig. 4 Power function regressions of drainage area in square
kilometers plotted against the bankfull depth in meters of channels
presented as Ditch (numbers 1–24, Table 1), Stream (numbers 25–37,
Table 1) and New (numbers 38–42, Table 1)
y = 1.0365x-0.728
R² = 0.4512
y = 0.7726x-0.655
R² = 0.1746
y = 0.0858x0.0097
R² = 0.0006
0.001
0.01
0.1
1
Ch
ann
el S
lop
e (%
)
Drainage Area (Sq Km)
Channel Slope Vs Drainage AreaDitch Stream NewPower (Ditch) Power (Stream) Power (New)
1.00 10.00 100.00 1000.00
Fig. 5 Power function regressions of drainage area in square
kilometers plotted against the percent channel slope of channels
presented as Ditch (numbers 1–24, Table 1), Stream (numbers 25–37,
Table 1) and New (numbers 38–42, Table 1)
y = 0.9665x-0.111
R² = 0.0092
y = 0.0166x1.1876
R² = 0.5653
Par
ticl
e S
ize
(mm
)
Drainage Area (Sq Km)
Particle Size D50 Vs Drainage Area
Ditch Stream Power (Ditch) Power (Stream)
0.1
1
10
100
1 10 100 1000
Fig. 6 Power function regressions of drainage area in square
kilometers plotted against the cumulative percent of bed particles
finer than 50 % of the total particle size analysis for channels
presented as Ditch (numbers 1–24, Table 1) and Stream (numbers25–37, Table 1)
y = 10.919x-0.239
R² = 0.0298
y = 1.0156x0.7139
R² = 0.2504
Par
ticl
e S
ize
(mm
)
Drainage Area (Sq Km)
Particle Size D84 Vs Drainage Area
Ditch Stream Power (Ditch) Power (Stream)
1
10
100
1000
1 10 100 10000.1
Fig. 7 Power function regressions of drainage area in square
kilometers plotted against the cumulative percent of bed particles
finer than 84 % of the total particle size analysis for channels
presented as Ditch (numbers 1–24, Table 1) and Stream (numbers25–37, Table 1)
Environ Earth Sci (2012) 67:2359–2369 2365
123
stream type will influence the plot of geomorphic data,
particularly when DA is plotted against dbkf. Therefore,
caution should be exercised when using region hydraulic
geometry curves to estimate dbkf. Channel water surface
slope appears to have adjusted with time even in the flat
terrain DMLT given similar climate, geology and land use.
Constructed ditch channel slopes do not have facets and
follow a uniform slope similar to a run. Yet, with the
passage of time, facets (e.g., riffles and pools) will develop
because of changes in sediment supply and transport.
Because of the cohesive nature of the soils, fine-grained
material (silt, clay and fine sand) will dominate the particle
sizes typically found in DMLT ditches. Though the data in
Fig. 5 show relatively similar slopes and intercepts for the
old ditches and streams, the scatter of the data is relatively
large. These results may be influenced by varying degrees
of channel instability; both scour and aggradation.
Bank and bed erosion in the older ditches likely accu-
mulated downgradient with increasing drainage area
resulting in the negative trends presented in Figs. 6 and 7.
Yet, the ditches are connected to larger streams and rivers
and if base-elevation lowering occurs in the future, knick-
points could likely migrate up into the ditches driving a
new round of channel evolution. As channels cut deeper
into the dense blue-gray till, sand and gravel size material
will likely be introduced into the ditch bed. Currently, the
data indicated that most ditch beds sit upon resistant fine-
grained till, yielding small particle size material to the bed
compared to natural channels, which over time have
transported fine-grained material downstream leaving more
sand and gravel in the bed. It is important to note that
natural channels form as basin denudation occurs over
time, whereas ditches were created to provide a link
between prairie wetlands that would minimize the areal
extent of flooding in the DMLT.
From a water quality management perspective, flat gra-
dient ditches will have smaller particle sizes compared to
more evolved streams that have evolved over longer time
periods. Therefore, is it realistic to ask DMLT ditches to
meet the same water quality standards as DMLT natural
streams? The trapezoidal design limits the lateral extent of
water movement; however, over time the data suggest ero-
sion has occurred either due to hydraulics or geotechnical
failure from groundwater seepage. Given this design fea-
ture, excessive fine-grained sediment transport will likely
occur in a ditch and may violate state water quality standards
more often compared to an evolved natural stream. Fine-
grained sediment storage is likely to occur, but how much
and will it back up unacceptable amounts of water in agri-
cultural fields? Agricultural producers become concerned
when the soil vadose zone remains saturated for more than
36 h. The results of this study have both water quantity and
quality management implications; the following questions
are central to how the results of this study can be applied:
1. Should new ditches be designed to manage not only
water, but also future sediment inputs?
2. How often should a ditch be cleaned or should
‘‘regular’’ ditch maintenance be conducted?
3. Should more science and ecological engineering be
used to make ditch management decisions?
4. Can ditch maintenance be conducted in an ecologically
friendly manner or should ditches be self-maintaining?
Today, drainage management must consider not only the
movement of water, but also the environment (Smiley and
Dibble 2005). Because ditches were primarily designed to
drain water from the surrounding landscape, ecological
function was typically not a design consideration. However,
the design of a ditch may hold the key for future attainment
of water quality standards. Options for mitigating issues of
excessive sediment and nutrients in ditches and streams
include the incorporation of best management practices
(BMPs), which include structural and nonstructural controls
and operating procedures designed to prevent or reduce non-
point source pollution. Drainage BMPs include, but are not
limited to, grassed side-inlet waterways, energy dissipation
devices/structures and riparian vegetation/buffers, buried
rock inlets, erosion control fabric and constructed wetlands
(Yates et al. 2007). However, in landscapes drained by
subsurface drainpipes, water can by-pass constructed wet-
lands and buffer strips, unless they are located within an
Table 2 Stepwise regression of variables in Table 1 where W/d ratio,
mean dbkf and D84 were found to correlate best with drainage area for
streams and ditches measured in southern Minnesota
R value R2 Adjusted
R2Std. error Durbin–
Watson
Model summary
0.918 0.843 0.826 36.87 1.46
Sum of squares df Mean square F Sig.
ANOVA
Regress 203,689 3 67,896.2 49.93 0.000
Residual 38,074.9 28 1,359.82
Total 241,763 31
Unstandardized coefficients Standardized coefficients
B Std. error b t Sig.
Coefficients
Constant -220.564 27.818 -7.93 0.000
D84 0.595 0.14 0.325 4.236 0.000
Mean dbkf 346.509 34.12 0.766 10.16 0.000
W/d ratio 10.697 1.873 0.437 5.711 0.000
Dependant variable: drainage area
Best fit predictors: W/d ratio, mean dbkf and D84
2366 Environ Earth Sci (2012) 67:2359–2369
123
active floodplain. Therefore, another potential way to miti-
gate sediment and nutrient pollution is by an alternative ditch
design that more closely resembles a natural stream; this idea
addresses question 3 above. Historic work by Wolman and
Miller (1960) defined the term ‘‘effective discharge’’ as the
streamflow that transports the greatest amount of sediment
over time, forming and shaping the bed and banks. Channel
shape is a function of the sediment supply and transport rate
and frequency of occurrence for a given streamflow dis-
charge. Base-flow discharges occur continuously, but are not
effective in transporting large amounts of sediment. Extreme
events, which have the greatest power to transport the most
sediment, occur too infrequently. Thus, the effective dis-
charge for natural non-urbanizing streams in the midwestern
USA is generally associated with the discharge at the
bankfull stage, which has a recurrence interval between 1.4
and 1.6 years (Annable 1994), although caution is required
because certain landscapes in the upper midwest can fall
outside of this range. Midwestern regions that contain rela-
tively large portions of wetland and lake storage will not
have a concordant linear relationship between drainage
area and channel cross-sectional area.
Christner et al. (2004) point out that traditional agri-
cultural ditches are designed to carry their maximum
anticipated flow when they are filled to 80 % of their
design depth. Return intervals corresponding with these
discharge values occur infrequently and are typically
greater than 50 years. Traditional ditch design does not
allow for the effective movement of sediment, typically
resulting in accumulation of sediment requiring periodic
clean-out maintenance. This design also lacks an active
floodplain, which limits the interaction of water and veg-
etation and any concordant nutrient attenuation.
The two-stage ditch design has the potential of improv-
ing both sediment continuity and ecological function (Ward
et al. 2004; Powell et al. 2007a). This design is based on the
natural fluvial processes that occur in response to the con-
struction of an oversized trapezoidal channel (Simon stage
IV and V), in which a small effective discharge channel is
formed by building an active floodplain within the ditch
itself (Ward et al. 2004; Powell et al. 2007a). The channel is
sized to convey the effective or bankfull discharge with
benches that serve as active floodplains for frequent flood
peaks; however, the ditch geometry will still confine the
more infrequent flood peaks (Fig. 8).
One of the processes by which an active floodplain is
formed within ditch geometry was the channel response to
deliberate over-widening (Christner et al. 2004): perhaps,
an ecologically acceptable approach to channel disturbance.
Judicial Ditch #8 in central Minnesota was over-widened to
accommodate the protection of a new bridge. The new and
wider channel allowed for the development of a low-flow
channel that meandered and establish its own dimension,
pattern and profile, along with an active floodplain within
the ditch geometry. The new effective discharge channel
allowed for the natural movement of sediment and the
growth of vegetation, and improved channel development
which created a combination of riffles, runs, pools and
glides, all of which created better habitat for fish. As a
result, Judicial Ditch #8 had the second highest fish Index of
Biological Integrity score of all streams measured in the
Minnesota River basin in 2003. The same ditch also dem-
onstrated the third highest qualitative habitat evaluation
index score and some of the lowest values of nitrogen
(nitrite ? nitrate), total phosphorus and total suspended
solids of all the channelized streams surveyed in 2003 in the
Minnesota River basin by the MPCA (Anderson 2008).
A second approach to the development of an active
floodplain within ditch geometry is bank excavation above
a designed bench (Powell et al. 2007a). In 2009, a joint
project between the MPCA, University of Minnesota,
Mower County Soil and Water Conservation District and
Fig. 8 A typical two-stage
ditch design geometry as
proposed by the United States
Department of Agriculture,
Natural Resources Conservation
Service National Engineering
Handbook
Environ Earth Sci (2012) 67:2359–2369 2367
123
the Nature Conservancy designed and constructed a multi-
stage ditch near the Iowa border in southern Minnesota:
multi-stage because in some locations, the low-flow
channel contained an inner berm based on more coarse bed
material. Over 1.5 km of ditch was re-shaped (removal of
upper bank material) to create a ditch similar to that shown
in Fig. 8 in reaches of more cohesive soils. If this approach
works similar to Judicial Ditch #8 or two-stage ditches in
Ohio and Indiana (Powell et al. 2007b), this new ditch
should be self-maintaining assuming no catastrophic
events. Additional research over time will be required to
answer the fourth question above for the DMLT.
Despite initial construction costs and the increased width
of the ditch system, which would require the surrender of
agricultural land, the benefits of a multi-stage ditch are
several-fold. The initial function of water conveyance is not
negatively impacted, the multi-stage channel is more
capable of transporting sediment more effectively than the
traditional design, and overall ditch stability is improved,
thereby reducing the need for costly maintenance. Fur-
thermore, because the multi-stage channel is more likely to
retain its design shape, it is easier to predict its flood pro-
tection performance. In addition, there is a potential to
improve habitat due to increased vegetation on the benches,
water depth variation and improvements to the substrate due
to the ability of the stream to transport sediment. Finally,
the multi-stage ditch may also be useful for improving
water quality due to nutrient assimilation of vegetation on
the benches (Ward et al. 2004; Powell et al. 2007b). The
results of this study suggest that ditches in the DMLT have
to some extent evolved away from the trapezoidal form to a
form that contains at least one stage or bench depending on
soil cohesion and upstream sediment supply.
Conclusions
Older ditches in the DMLT have adjusted over time to more
closely mimic similar scaled natural streams in the region
compared to the designed trapezoidal form. The results
from this study suggest that formation of a bench within the
ditch geometry is possible and construction of two-stage
ditches within the DMLT would likely be beneficial for
long-term ditch channel stability. Reducing costs associated
with aggraded sediment removal offers a cost savings to
landowners who are required to pay for ditch maintenance.
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