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Natural Flood Storage and Extreme Flood
Events Final Report
7 case study 3 - Tay
7.1 Background
The River Tay catchment draining through Perth has an
area of approximately 5,000km
2. It is almost entirely rural upstream of
Perth, though the steep topography limits the extent of
floodplain in many areas. Also, the River Tay is well
regulated through a number of reservoirs built for
hydroelectric power (HEP) supply purposes. With appropriate
control operations this can help to reduce the magnitude of
flood flows for lower return periods, but not for the more
extreme floods. Scottish and Southern Energy Group utilise
storage capacity in Lochs Errochty, Ericht, Rannoch and
Tummel to delay the river Tummel flood peak, whilst
allowing the flood peak on the River Garry to pass through
(J. Anderson, SEPA,
pers comm.). The River Tummel is then released on
the River Garry's recession. However, this flood
attenuation method only works for floods up to the 1 in 10
year flood.
Only 0.5% of the Tay catchment is built-up. The dominant
land covers are moorland (about 45%), rough grass (about
19%) and forest/wood (about 18%). The city of Perth
suffered severe flooding in 1990 and 1993. Since then
approximately £26 million has been spent on flood defences
in the city to protect the main urban area from extreme
floods (both fluvial and tidal).
7.2 Modelling
The first step in the modeling of the Tay was to
estimate peak flow magnitudes for flooding at the
downstream risk location (Table 7-1).
Table 7-1: Tay -Flood flows
and return periods
Location | Peak flow (m
3s
-1) | Return period (years) | Notes |
|---|
Ballathie GS (NGR NO147 367) | 1238
2217
2514 | 5
100
200 | FEH estimates. Routing model extends
downstream of Ballathie to Perth |
For the Tay, there is no obvious 'threshold' downstream
flow for modelling purposes. However, past flooding on the
Tay has caused agricultural damages. There are some
embankments in the lower Tay that are thought to offer
around a 5 year standard of protection. We have adopted
this value as a target downstream peak flow in at Ballathie
gauging station, in addition to the 100 year event.
The outline of a Muskingum routing model built for this
study for the Tay catchment is shown in Figure 7-1. The
routing parameters were chosen based on typical values for
a catchment of this scale and topography. This model was
calibrated such that the peak flows agreed (at least to a
close approximation) with the values given in Table 7-1 for
the corresponding return period.
Figure 7-1: Tay routing
model

The Tay routing model boundaries were set downstream of
major lochs on the main tributaries. McInally
et al. (1995) suggested that even during the
largest floods on record in the Tay (1990 and 1993), the
majority of flood runoff was generated from uncontrolled
catchments, with lochs controlled for hydroelectric
generation having little influence above about a 10-year
event. We have therefore treated the FEH inflows to the
routing model as natural catchments, with the attenuating
impact of lochs being accounted for through the FEH
parameter FARL.
The downstream hydrographs for the larger events were
then compared with the peak flow for the 'threshold' event,
and the volume that would have to be stored was calculated
(Table 7-2). These figures can be considered as minimum
required volumes of flood storage (strictly speaking
assumed to exist immediately upstream of the risk
location).
Table 7-2: Tay - Storage
volumes derived from hydrograph analysis
| Return period of event
(yrs) |
|---|
Location | Incident event | Target peak flow (or
volume) | Volume (million m
3) |
|---|
Perth (u/s city limit) | 100 | 5 (flow) | 49.3 |
The routing model and JFLOW flood inundation model were
run to create flood outlines for the specified return
periods. The area of inundation calculated and plotted as a
function of distance upstream from the risk location. We
have then calculated the differences between the areas of
the larger (200 year) and smaller (100 year) events to
represent the 'natural' area in which water could be held
back to mitigate the larger event. These results are shown
in Figure 7-2. Only the main stream branch has been
included in this analysis.
Figure 7-2: Tay
-Distance-area curves for natural flood
extents

Steep sections of the graph (e.g. between 20 and 40km)
indicate locations along the river where there are large
differences between the inundation extents for the two
return periods. These locations may therefore offer the
greatest potential to hold water back during the larger
event within the 'natural' flood extent. However, at
>20km upstream of the flood risk location could reduce
the potential effectiveness of these areas for significant
flood attenuation purposes.
We have made the simple assumption that the volume of
storage required at the downstream location can be divided
by the modelled flooded area to give a notional average
storage depth (Table 7-3). We have calculated the required
average depth using both the total extent of the 200 year
flood (i.e. the flood event we have used in this study as
the extent of the 'natural' floodplain), and also the
marginal extent between the 100 year and 200 year
outlines.
Table 7-3: Tay - Notional
average depth of natural flooding
Event return period reduction (years) | Volume (million m
3) | Available extent | Available area (km
2) | Average depth (m) |
|---|
100 to 5 | 49.3 | Within 200 year extent | 81 | 0.6 |
100 to 5 | 49.3 | Between 100 and 200 year extent | 5.4 | 9.1 |
Based on these figures and the distribution of
floodplain extent (expressed as a function of distance
upstream from the flood risk location), we have calculated
the average depth of water that would be required on the
floodplain to achieve the required volume of storage
(Figure 7-3). The graphs show figures calculated using both
the full extent of the 200 year flood as a potential limit
for storage, and also the marginal area between 100 year
and 200 year extents.
Figure 7-3: Tay -
Distance-depth curves for natural flood
extents

In general, storage is most effective if it is located
immediately upstream of the risk location. If the average
storage depth falls to a practically-attainable value
within a few kilometres of the downstream location, then
there may be scope to use land in the natural 200 year
extent to provide the required storage. However, for the
Tay, an average depth of around 2m would be needed over the
area stretching 20km upstream. For the Tay the target of
reducing the 100 year event to the 5 year event downstream
is a very ambitious one. The results are dependent on this
and the modelled extents. However, areas of this floodplain
do flood every few years, suggesting that the required
volume for an extreme event could not be found without
impoundments of the order of several metres in height.
7.3 Environmental assessment
The Tay catchment contains numerous sites of important
conservation and historic value. Quite a number of these
are present within the floodplain area (Figure 7-4). These
include Meikleour SSSI and Thistle Brig SSSI (near
Stanley). Dunkeld Cathedral and the remains of the Roman
forts at Cargill and Bertha (near Almondbank) are located
within the modelled 200 year flood extent. All these sites
would require a more detailed assessment if any scheme to
enhance the flood attenuation on the Tay floodplain was
proposed.
The project team were unable to acquire any datasets on
the man-made assets within the Tay floodplain. Clearly
these would require due consideration, with all the
appropriate consultations, if any scheme to enhance
'natural' floodplain attenuation was to be developed
further.
Figure 7-4: Tay - SSSIs and
Scheduled Ancient Monuments

7.4 Agricultural economic assessment
7.4.1 MDSF-based
The estimated total cost of the 5 year, 100 year and 200
year events using the MDSF methodology are shown in Table
7-4. The 100 year and 200 year totals are not significantly
different as the modelled total inundated area for these
land cover classes was not very different for the two
events.
The results indicate that the damage to the arable
(non-cereals) and horticulture land caused by the two
extreme floods completely controls the overall economic
cost. This is due to the very high value of this land cover
in comparison to all the other land covers, including
arable (cereals).
Table 7-4: Tay - Economic
cost of flooding on agricultural land, based on
MDSF
Flood return period | Cost
(£) |
|---|
5 year | 2,567,220 |
100 year | 4,030,350 |
200 year | 4,400,230 |
To provide a concise summary, the results are also
presented as a function of distance upstream from the flood
risk location in Figure 7-5. For the Tay the higher
agricultural costs, associated with arable and
horticultural land cover classes exist in the area 20-50km
upstream from the Perth city limit.
Figure 7-5: Tay -
Distance-cost curve for the 200 year natural flood
extent

7.4.2 Single flood compensation payment
based
Table 7-5 provides a summary of the overall costs of
permitting the land to be flooded using the single payment
for all land cover classes (excluding land cover classes 1,
2 and 3).
Table 7-5: Tay - Annual
compensation costs, based on single payment
Flood return period | Area inundated
km
2 | Cost (@ £300/ha)
(£) |
|---|
5 year | 42 | 1,245,330 |
100 year | 70 | 2,109,600 |
200 year | 72 | 2,157,600 |
The total catchment figures are typically 50% less than
those derived from the MDSF methods, again indicating the
large impact that the high value arable and horticultural
crops have on the MDSF figures. However, these figures
provide some indication of the magnitude of the longer term
total annual compensation payments that might be required
if the full 'natural' floodplain was to be actively managed
for natural flood attenuation.
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