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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. Its coverage
had always been uneven, however. Coverage was predominantly in lowland,
southeastern Britain, where the numbers of potential volunteers
are greatest. Coverage in more sparsely populated upland regions
had always been much more patchy. Even within the well-covered regions,
sites were situated in a limited number of habitats, predominantly
farmland and woodland. Within southeastern Britain, 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 northern or western Britain, 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 regions and habitats. In
some early editions of 'Breeding Birds in the Wider Countryside’
(e.g. Baillie et al.
2002), separate indices were published from CBC and BBS data,
for those species with sufficiently large sample sizes. There being
no new CBC data since 2000, however, it is futile to present a CBC-only
trend – except for those few species where no joint or BBS
index is available.
For most purposes, 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, 2007a).
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, 2007a)
this was the area covered by Fuller
et al. (1985) (England and Wales south and east from
Seascale, Scarborough and Exeter), 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 (the CBC/BBS England index), rather than
just the English part of 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, 2007a,
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 large number of sites involved. Therefore we fitted a
generalised 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 divided 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 convention 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 the 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. 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 within 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,
and 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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