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> Combined CBC/BBS trends
2.3 Combined Common Birds Census (CBC)
and Breeding Bird Survey (BBS) trends
The field protocols for the two surveys are described in sections
2.1 and 2.2. As previously noted, the CBC has been an enormously
influential project, providing the main source of information on
national population levels in the UK since its inception. Certain
biases in coverage had long been known, however. Coverage is predominantly
in lowland southeastern Britain, where the numbers of potential
volunteers are greatest. Coverage in more sparsely populated upland
regions has always been much more patchy. Even within the well-covered
regions, sites are situated in a limited number of habitats, predominantly
farmland and woodland. Within this region, the results are nevertheless
believed to be broadly representative (Fuller
et al. 1985). However, several species such as Wood
Warbler and Meadow Pipit have the greater part of their numbers
in the north or west of the country, outside the area adequately
covered. For these species, the CBC may not accurately reflect national
trends.
The BBS, on account of its more rigorous, stratified random sampling
design, and its simplicity in the field, produces data that better
cover the previously under-represented areas. In previous editions
of 'Breeding Birds in the Wider Countryside’ (e.g. Baillie
et al. 2002), indices were published both from CBC
and BBS data, for those species with sufficiently large sample sizes.
The CBC was discontinued in 2000; from now on, BBS data will be
used in the production of national population trends dating back
to its year of establishment, 1994.
For many purposes, however, the presentation and analysis of longer
time-series is required, dating back to before the establishment
of the BBS but coming right up to the present day. The calculation
of 25-year alert designations, as in this report, provides just
one example. This need led to the BTO carrying out research into
the compatibility of indices from BBS and CBC data in various years
and regions, and the possibility of deriving trustworthy long-term
indices from the two data sources in combination (Freeman
et al. 2003). This research suggested that for the
vast majority of species considered there was no significant difference
between population trends, calculated from the two surveys, based
on that part of the country where CBC data are sufficient to support
a meaningful comparison. Where a statistically significant difference
was found, this was sometimes for very abundant species for which
the power to detect even a biologically insubstantial difference
was considerable. Within this region, therefore, long-term trends
based on CBC and BBS data can be produced for almost all species
previously monitored by the CBC alone. For Freeman
et al. (2003) this was the area covered by Fuller
et al. (1985), because CBC plots in that region were
shown to be representative of lowland farmland there. As this region
covers the bulk of England, and for consistency with the rest of
this report we have produced joint indices for CBC/BBS for the whole
of England (called CBC/BBS-England index), rather than just the
'Fuller rectangle'.
A second question then is whether one can obtain reliable trends
over the same period for the entire UK. That is, since prior to
1994 only CBC data are available, are the population trends within
the region well-covered by the CBC typical of those for the UK as
a whole? The shortage of CBC data in the north and west means that
the only way of investigating this is via the BBS data. Significant
differences in trends between the area well covered by the CBC and
the rest of the UK were found for approximately half the species
(see Freeman et al.
2003 for full details). For such species, the regional bias
in CBC data means that no reliable UK index can be produced prior
to 1994. In summary, joint population indices dating back to the
start of the CBC can continue to be produced for that part of the
country well served by the CBC (essentially England) for almost
all common species. However, a similar UK index can be produced
for only about 50% of species (CBC/BBS-UK index).
This report presents joint CBC/BBS trends for the UK and/or England
as appropriate. Ideally the trends would have been estimated using
Generalised Additive Models (Fewster
et al. 2000) but these were too computationally intensive
given the number of sites involved. Therefore we fitted a Generalized
Linear Model with counts assumed to follow a Poisson distribution
and a logarithmic link function to the combined CBC/BBS data. Standard
errors were calculated via a bootstrapping procedure and there is
therefore no need to model overdispersion, as it does not affect
the parameter estimates. BBS squares were weighted by the number
of 1-km squares in each sampling region devidied by the number of
squares counted in that region as in standard BBS trend analyses
CBC plots were assigned the average weight of all BBS squares as
this allows them to be incorporated within the analysis while retaining
the convension of not applying weights within the BBS sample. The
population trend was smoothed using a thin-plate smoothing spline
with 11 degrees of freedom. Confidence intervals were calculated
via a bootstrap procedure. Bootstrap samples were generated by resampling
sites from the original data set with replacement. A generalised
linear model was then fitted to each bootstrap replicate and a smoothing
spline fitted to the annual population indices as described above.
Confidence limits were then calculated as appropriate percentiles
from the sets of smoothed estimates. The overall result is a smoothed
trend that is mathematically equivalent to that produced from a
Generalised Additive Model (GAM). The method of estimation is less
statistically efficient because the smoothing is not incorporated
within the estimation procedure, and is likely to have resulted
in more conservative statistical tests and wider confidence limits.
However this compromise was necessary to make it possible to fit
the trends in a reasonable amount of computer time (still several
weeks).
Indices are
plotted as the blue line on the graphs, and provide a relative measure
of population size on an arithmetic scale relative to an arbitrary
value of 100 in 2002. If an index value increases from 100 to 200,
the population has doubled; if it declines from 100 to 50, it has
halved. The two green lines on the graphs, above and below the index
line, are the upper and lower 85% confidence limits. A narrow confidence
interval indicates that the index series is estimated precisely,
a wider interval indicates that it is less precise. The use of 85%
confidence limits allows relatively straightforward comparison of
points along the modelled line: non-overlap of the 85% confidence
limits is equivalent to a significant difference at approximately
the 5% level (Anganuzzi
1993).
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