The Archipelago Soay sheep Population dynamics and MRR data Tweaking the time-series Bibliography Partners & Links
[The Location and islands of the St.Kilda Archipelago]

When it was inhabited, the people on Hirta lived manly on birds (Gannets, Puffins and Fulmars). Steel (1994) reported that when Martin Martin visited the island in 1697, he estimated that in a year 180 islanders consumed 16,000 eggs and ate 22,600 sea birds. From Stac Lee alone, he reckoned, the St. Kildans took between 5 and 7 thousand gannets annually. However the number killed per inhabitant remained fairly steady throughout the island’s history. By 1841, as a result the decline in the number of people on Hirta, the catch had dropped to an average of 1,400 birds a year (Steel, 1994).
[The Village Bay catchment of Hirta]



The Soay sheep (Ovis aries) is a domesticated sheep classified as a rare breed. It is thought to be similar to the domestic Neolithic sheep and they have probably been introduced to St.Kilda at that time (Clutton-Brock, 1999). The sheep were left on Soay island and reintroduced to Hirta at the time of the evacuation. The population is naturally regulated since then (Clutton-Brock et al. 1991).
Soay sheep are relatively small, males (right) and females (left)
typically
have a distinctive black coat, but some polymorphism in coat colour is
present. Polymorphisms on coat and horn types are probably maintained
by
changes in the direction in which selection operates during population
crashes (Pemberton et al. 1996). Mortality occurs in slightly different
periods in males and females and is mainly caused by starvation. Males
are more vulnerable in the early months of the winter, during or soon
after
the rut. Females are more likely to die in late winter; just before or
after giving birth. Births are generally concentrated in April and
weaning
is prolonged until the end of the summer. For both sexes the
probability
of surviving until the next summer is negatively correlated with
population
size and winter severity (Catchpole et al. 2000).
[Total
number of sheep on Hirta]
Since 1955 the total number of Soay Sheep on the whole Island of Hirta has been counted each summer. As found for some other food-limited populations of vertebrates in northern latitudes, the population size of Soay Sheep shows periods of rapid increase to high density, followed by periodic "crashes" when up to 60% of the population can die in one winter. An insight into population dynamics has be obtained by the study of survival and fertility processes using observations on previously marked individuals. A first detailed study on marked individuals was conducted between 1959 and 1967 (Jewell et al., 1974) in the Village Bay area, a part of the Hirta Island (see photograph above). The date of birth and date of death of individually marked sheep were recorded. Although this early study provided a significant insight into the ecology of the Soay sheep, it was ended in 1967 and the causes and the frequency of population crashes remained largely unknown. In the subsequent eighteen years the information collected differed in quantity and quality. For example for 5 years between 1970 and 1985 (shaded bars in the above figure) the census was limited to the total island count without the usual age breakdown recorded during the previous decades. The information collected on marked animals was also less precise. The data on the time of death for example was generally confined to the year only with no specification of the month.

A
second detailed study was conducted between 1986 and the present on the
Village Bay area where a large number of animals are marked-released
and
recaptured during the summer (Catchpole et al., 2000). Animals are
caught
within temporary corals into the Village bay (photos below). Before
release,
each individual is measured and when absent, a plastic tag with a
unique
combination of letters and numbers is placed in each ear.
The
analysis of the individual-based information collected provided
estimates
of the demographic parameters underlying population fluctuations and of
factors that influence them (Catchpole et al., 2000). A recent study by
Coulson et al. (2001) showed that the population crashes observed
between
1986 and 2000 result from a complex combination of the effects of
extrinsic
and intrinsic factors on individual survival and the age composition of
the population.
Between
1970 and 1985 population fluctuations in the whole island of Hirta are
surprisingly different from other times(shaded bars in the above
graph).
For example between 1971 and 1978, the population apparently showed a
steady
decline, which is difficult to reconcile with our current understanding
of the way the population fluctuates. There has long been some
uncertainty
regarding the estimates of the whole island counts in some years of the
decade 70-80, suggesting that during this period crashes might have
occurred
undetected. Population counts have been used in the past in time-series
analyses (Grenfell et al. 1998; Stenseth et al. in prep.) and an
understanding
of the possible errors in the counts is necessary and important.
An
insight in the time-series pattern might be obtained by comparing the
observed
counts with those predicted by a population model. Coulson at al.
(2001)
showed that the population dynamics of the sheep on Hirta was well
predicted
by a 5-age class matrix model in which survival and fertility were
dependent
on two external covariates, weather and previous summer population
size,
and their interaction. In particular we used the relationship between
North
Atlantic Oscillation Index and population density on survival and
fertility
parameters to project the population from 1961 onwards. This model have
been parameterised using the estimates of survival and fertility
obtained
by modelling individual based data collected from 1986 to 2000 (see
some
of the details of the analysis on Female
survival:
data 86-00 (.pdf file) and Soay sheep
fertility
(.pdf
file)). The historical data concerning birth and death dates of animals
marked between 1961 and 1970 (
Capture-Mark-Recapture-Recovery
data from cohorts 61/70) were recovered from electronic and
different
sources. Recoveries from 1961 to 1984 were analysed to investigate
whether
the structure of the survival model found for the period 1986-2000 was
applicableto the previous decades. This analysis confirmed the
age-dependent
pattern found for the periods 1961-1984 and 1986-2000 were similar (
Female survival: data 61-84 (pdf file)). The final matrix model
included
demographic stochasticity and proved to be very successful in
describing
the population trajectory from 1986 to 2000. This model however
sistematically
underestimated the population size during boost and overestimates it
during
crashes. When the observed number of lambs that survived until the
summer
was plugged into the model at each year, the predicted total number of
sheep was very close to the observed one. When the model was projected
from 1961 onwards, results suggested that the estimates of the middle
period
were less accurate (see summary in report Report
on
BBSRC grant 96/E14253.pdf
).
Clutton-Brock, J. (1999). Domesticated Mammals. Cambridge University Press. Cambridge
Clutton-Brock, T. H. Price, O.F. Albon, S.D. and Jewell, P.A. (1992). Persistent instability and population regulation in Soay sheep. Journal of Animal Ecology. 60, 593-608
Coulson, T., Catchpole, E.A., Albon, S.D., Morgan, B.J.T., Pemberton, J.M., Clutton-Brock, T.H., Crawley, M.J., & Grenfell, B.T. (2001) Age, sex, density, winter weather an population crashes in Soay sheep. Science, 292, 1528-1531.
Pemberton, J.M., Smith, J.A., Coulson, T.C., Marshall, J.Slate, Paterson,S. Albon, S.D. and Clutton-Brock, T.H. (1996). The maintenance of genetic polymorphism in small island populations: large mammals in the Hebrides. Philosophical Transactions of the Royal Society of London. Series B. 351, 745-752
Steel, T.
(1994)
The life and death of St.Kilda. The moving story of a vanishied island
community Harper Collins, London.
Institute
of Mathematics and Statistics - University of Kent at Canterbury
University
of Cambridge
University
of Edinburgh
University
of Stirling