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22 Mar Ecol Prog Ser 359: 11–23, 2008

consistent tools for quantitative ecologists that often 435:336–340
face non-stationary time series and their potential Inchausti P, Halley JM (2002) The long-term temporal vari-
ability and spectral colour of animal populations. Evol Ecol
associations with environmental fluctuations, in a mul-
Res 4:1033–1048
tiple time series framework. Kasdin NJ (1995) Discrete simulation of colored noise and sto-
ä ä
chastic-processes and 1/f(Alpha) power-law noise genera-
Acknowledgements. We thank 3 anonymous referees who tion. Proc IEEE 83:802–827
helped to improve the quality and the clarity of this manu- Keitt TH, Fischer J (2006) Detection of scale-specific commu-
script. Financial support from IFREMER and the University of ä ä ä ä nity dynamics using wavelets. Ecology 87:2895–2904
Oslo through the Marie Curie training site (PhD fellowship for Keitt TH, Urban DL (2005) Scale-specific inference using
T.R.) made this work possible. B.C. is partly supported by the ä ä wavelets. Ecology 86:2497–2504
program REMIGE - ANR Biodiversité 2005-11. This study is
Keogh E, Pazzani M (1998). An enhanced representation of time
part of the WP 6 of the NeO Eur-Oceans.
series which allows fast and accurate classification, cluster-
ing and relevance feedback. In: Agrawal R, Stolorz P, Piatet-
LITERATURE CITED sky-Shapiro G (eds) Proc 4th Int Conf Knowledge Discovery
and Data Mining (KDD’98). ACM Press, New York,
Arino A, Pimm SL (1995) On the nature of population p 239–241
extremes. Evol Ecol 9:429–443 ä ä Keogh E, Chakrabarti K, Pazzani M, Mehrotra S (2001)
ä ä Bradshaw GA, Spies TA (1992) Characterizing canopy gap Dimensionality reduction for fast similarity search in large
structure in forests using wavelet analysis. J Ecol time series databases. Knowl Inf Syst 3:263–286
80:205–215 ä ä ä ä Klvana I, Berteaux D, Cazelles B (2004) Porcupine feeding
ä ä Bretherton CS, Smith C, Wallace JM (1992) An intercompari- scars and climatic data show ecosystem effects of the solar
son of methods for finding coupled patterns in climate cycle. Am Nat 164:283–297
data. J Clim 5:541–560 ä ä Lau KM, Weng H (1995) Climate signal detection using
ä ä Cazelles B (2004) Symbolic dynamics for identifying similarity wavelet transform: how to make a time series sing. Bull
between rhythms of ecological time series. Ecol Lett Am Meteorol Soc 76:2391–2402
7:755–763 ä ä Lawton JH (1988) More time means more variation. Nature
ä ä Cazelles B, Hales S (2006) Infectious diseases, climate influ- 334:563
ences and nonstationarity. PLoS Med 3:1212–1213 Lukasik E (2000). Wavelet packets based features selection
ä ä Cazelles B, Stone L (2003) Detection of imperfect population for voiceless plosives classification. In: ICASSP ‘00: Proc
synchrony in an uncertain world. J Anim Ecol 72:953–968 IEEE Int Conf on Acoustic, Speech and Signal Processing,
Cazelles B, Chavez M, Berteaux D, Ménard F, Vik JO, Jenou- Istanbul, Turkey, 5–9 June, 2000, Vol 2. IEEE Computer
vrier S, Stenseth NC (2008). Wavelet analysis of ecological Society, Washington, DC, p II689–II692
time series. Oecologia (in press), doi: 10.1007/s00442-008- ää Mallat S, Papanicolaou G, Zhang Z (1998) Adaptive covari-
0993-2 ance estimation of locally stationary processes. Ann Stat
Chatfield C (2004). The analysis of time series: an introduc- 26:1–47
tion, 6th edn. Chapman & Hall/CRC, Boca Raton, FL Maraun D, Kurths J (2004) Cross wavelet analysis: signifi-
ä ä Cheng X, Dunkerton TJ (1995) Orthogonal rotation of spatial cance testing and pitfalls. Nonlinear Processes in Geo-
patterns derived from singular value decomposition. physics 11:505–514
J Clim 8:2631–2643 ä ä Ménard F, Marsac F, Bellier E, Cazelles B (2007) Climatic
ä ä Cuddington KM, Yodzis P (1999) Black noise and population oscillations and tuna catch rates in the Indian Ocean: a
persistence. Proc R Soc Lond B Biol Sci 266:969–973 wavelet approach to time series analysis. Fish Oceanogr
Daubechies I (1992). Ten lectures on wavelets. Society for 16:95–104
Industrial and Applied Mathematics, Philadelphia, PA Millot C (1985) Some features of the Algerian current. J Geo-
ä ä Feng GC, Yuen PC, Dai DQ (2000) Human face recognition phys Res 90:7169–7176
using PCA on wavelet subband. J Electron Imaging ää Miramontes O, Rohani P (2002) Estimating 1/f scaling expo-
9:226–233 nents for short time-series. Physica D 166:147–154
ä ä ä ä Grenfell BT, Bjørnstad O, Kappey J (2001) Travelling waves ää Newman M, Sardeshmukh P (1995) A caveat concerning
and spatial hierarchies in measles epidemics. Nature singular value decomposition. J Clim 8:352–360
414:716–723 ä ä Petchey OL, Gonzalez A, Wilson HB (1997) Effects on popula-
Gupta M, Jacobson N (2006). Wavelet principal component tion persistence: the interaction between environmental
analysis and its application to hyperspectral images. In: noise colour, intraspecific competition and space. Proc R
Proc IEEE Int Conf on Image Processing 2006, 8–11 Oct., Soc Lond B Biol Sci 264:1841–1847
Atlanta, GA. IEEE Signal Processing Society, Washington, ää Pimm S, Redfearn A (1988) The variability of animal popula-
DC, p 1585–1588 tions. Nature 334:613–614
ä ä Halley JM (1996) Ecology, evolution and 1/f noise. Trends ää Pinardi N, Masetti E (2000) Variability of the large scale gen-
Ecol Evol 11:33–38 eral circulation of the Mediterranean Sea from observa-
Halley JM, Stergiou KI (2005) Increasing variability of fish tions and modelling: a review. Palaeogeogr Palaeoclimatol
landings. Fish Fish 6:266–276 Palaeoecol 158:153–173
ä ä Hastings A (2001) Transient dynamics and persistence in Ravier C, Fromentin JM (2001) Long-term fluctuations in the
ecological systems. Ecol Lett 4:215–220 eastern Atlantic and Mediterranean bluefin tuna popula-
ä ä Henson SM, Cushing JM, Constantino RF, Dennis B, Deshar- tion. ICES J Mar Sci 58:1299–1317
nais RA (1998) Phase switching in population cycles. Proc ää Ravier C, Fromentin JM (2004) Are the long-term fluctuations in
R Soc Lond B Biol Sci 265:2229–2234 Atlantic bluefin tuna (Thunnus thynnus) population related
ä ä ä ä Hsieh CH, Glaser SM, Lucas AJ, Sugihara G (2005) Distin- to environmental changes? Fish Oceanogr 13:145–160
guishing random environmental fluctuations from ecolog- ää Royer F, Fromentin JM (2006) Recurrent and density-depen-
ical catastrophes for the North Pacific Ocean. Nature dent patterns in long-term fluctuations of Atlantic bluefin