The statistical analysis of tidal rhythms: Tests of the relative effectiveness of five methods using model simulations and actual data

References

• Beentjes , M. P. and Williams , B. G. 1986 . Endogeneous circatidal rhythmicity in the New Zealand cockle Chione stutchburyi . Mar. Behav. Physiol. , 12 : 171 – 180 .
   Web of Science ®Google Scholar
• Blackman , R. B. and Tukey , J. W. 1959 . The Measurement of Power Spectrafrom the Point of View of Communications Engineering. , New York : Dover .
   Google Scholar
• Broom , D. M. 1979 . Methods of detecting and analyzing activity rhythms . Biol. Behav. , 1 : 3 – 18 .
   Google Scholar
• Chatfield , C. 1980 . The Analysis of Time Series. , London : Chapman & Hall .
   Google Scholar
• Dowse , H. D. and Palmer , J. D. 1972 . The chronomutagenic effect of deuterium oxide on the period and entrainment of a biological rhythm . Biol. Bull. , 143 : 513 – 524 .
   PubMed Web of Science ®Google Scholar
• Dowse , H. B. and Palmer , J. D. 1992 . Comparative studies of tidal rhythms. XI. Ultradian and circalunidian rhythms in four species of semiterrestrial, intertidal crabs . Mar. Behav. Physiol. , 21 : 105 – 119 .
   Google Scholar
• Dowse , H. B. and Ringo , J. M. 1987 . Further evidence that the circadian clock in Drosophila is a population of coupled ultradian oscillators . J. Biol. Rhythms , 2 : 65 – 76 .
   PubMedGoogle Scholar
• Dowse , H. B. and Ringo , J. M. 1989 . The search for hidden periodicities in biological time series revisited . J. Theor. Biol. , 139 : 487 – 515 .
   Web of Science ®Google Scholar
• Dowse , H. B. and Ringo , J. M. 1991 . Comparisons between “periodograms”; and spectral analysis: apples are apples after all . J. Theor. Biol. , 148 : 139 – 144 .
   PubMed Web of Science ®Google Scholar
• Halberg , F. , Shankaraiah , K. , Giese , A. C. and Halberg , H. 1987 . “ The chronobiology of marine invertebrates: methods of analysis ” . In Reproduction of Marine Invertebrates Vol. IX ,
   Google Scholar
• Giese, A. C., Pearse, J. and PearseC. (eds.). Blackwell/Boxwood, London, pp. 331–384.
   Google Scholar
• Harris , G. J. and Morgan , E. 1983 . Estimates of significance in periodogram analysis of damped oscillations in biological time‐series . Beh. Anal. Lts. , 3 : 221 – 230 .
   Google Scholar
• Hastings , M. H. 1981 . Semi‐lunar variations of endogenous circa‐tidal rhythms of activity and respiration in the isopod Eurydice pulchra . Mar. Ecol. Prog. Ser. , 4 : 85 – 90 .
   Web of Science ®Google Scholar
• Honegger , H‐W. 1973 . Rhythmic motor activity responses of the California fiddler crab, Uca cremilata to artificial light conditions . Mar. Bill. , 18 : 19 – 31 .
   Web of Science ®Google Scholar
• Lehmann , U. , Neumann , D. and Kaiser , D. 1974 . Gezeitenrhymische und spontane Aktifitätsmuster von Winkerkrabben. I. Ein neuer Ansatz aus quantitativen Analyse von Lokomotionsrhythmen . J. Comp. Physiol. , 91 : 187 – 221 .
   Google Scholar
• Naylor , E. 1958 . Tidal and diurnal rhythms of locomotory activity in Carcinus maenas . J. Exp. Biol. , 35 : 602 – 610 .
   Web of Science ®Google Scholar
• Northcott , S. J. , Gibson , R. N. and Morgan , E. 1990 . The persistence and modulation of endogenous circatidal rhythmicity in Lipophrys pholis . J. Mar. Biol. Ass. U.K. , 70 : 815 – 827 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1964 . Comparative studies in avian persistent rhythms: spontaneous change in period length . Comp. Biochem. Physiol. , 12 : 273 – 282 .
   PubMed Web of Science ®Google Scholar
• Palmer , J. D. 1967 . Daily and tidal components in the persistent rhythmic activity of the crab, Sesarma . Nature , 215 : 64 – 66 .
   PubMed Web of Science ®Google Scholar
• Palmer , J. D. 1973 . Tidal rhythms: the clock control of the rhythmic physiology of marine organisms . Biol. Rev. , 48 : 337 – 413 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1988 . Comparative studies of tidal rhythms. VI. Several clocks govern the activity of two species of fiddler crabs . Mar. Behav. Physiol. , 13 : 201 – 219 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1989 . Comparative studies of tidal rhythms. VII. The circalunidian locomotor rhythm of the brackish‐water fiddler crab, Uca minax . Mar. Behav. Physiol. , 14 : 129 – 143 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1990a . Comparative studies of tidal rhythms. X. A dissection of the persistent activity rhythm of the crab, Sesarma . Mar Behav. Physiol. , 17 : 177 – 187 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1990b . The rhythmic lives of crabs . BioScience , 40 : 352 – 358 .
   Web of Science ®Google Scholar
• Palmer , J. D. 1991 . Contributions made to chronobiology by studies of fiddler crab rhythms . Chronobiol. Int. , 8 : 110 – 130 .
   PubMed Web of Science ®Google Scholar
• Palmer , J. D. and Williams , B. G. 1986a . Comparative studies of tidal rhythms. I. The characterization of the activity rhythm of the pliant‐pendulum crab, Helice crassa . Mar. Behav. Physiol. , 12 : 197 – 207 .
   Web of Science ®Google Scholar
• Palmer , J. D. and Williams , B. G. 1986b . Comparative studies of tidal rhythms. II. The dual clock control of the locomotor rhythms of two decapod crustaceans . Mar. Behav. Physiol. , 12 : 269 – 278 .
   Web of Science ®Google Scholar
• Palmer , J. D. and Williams , B. G. 1987 . Comparative studies of tidal rhythms. III. Spontaneous splitting of the peaks of crab locomotory rhythms . Mar. Behav. Physiol. , 13 : 63 – 75 .
   Web of Science ®Google Scholar
• Rawson , K. S. and DeCoursey , P. J. 1976 . “ A comparison of the rhythms of mice and crabs from intertidal habitats ” . In Biological Rhythms in the Marine Environment. , Edited by: DeCoursey , P. J. 33 – 55 . Columbia : University of Carolina Press .
   Google Scholar
• Webb , H. M. 1971 . Effect of artificial 24‐hour cycles on the tidal rhythm of activity in the fiddler crab, Uca pugnax . J. Interdiscipl. Cycle Res. , 2 : 191 – 214 .
   Google Scholar
• Whittaker , E. and Robinson , G. 1944 . The Calculus of Observation , Glasgow : Blackie & Son .
   Google Scholar
• Williams , B. G. and Palmer , J. D. 1988 . Comparative studies of tidal rhythms. IV. Spontaneous frequency changes and persistence in the locomotor rhythm of an intertidal crab . Mar. Behav. Physiol. , 13 : 315 – 332 .
   Web of Science ®Google Scholar
• Williams , B. J. , Palmer , J. D. and Hutchinson , D. N. 1993 . Comparative studies of tidal rhythms. XIII. Is the clam clock similar to other organismic intertidal timepieces? . Mar. Behav. Physiol. , 24 : 1 – 14 .
   Web of Science ®Google Scholar
• Williams , J. A. and Naylor , E. 1978 . A procedure for the assessment of significance of rhythmicity in time‐series data . Int. J. Chonobiol. , 5 : 435 – 444 .
   Google Scholar
• To whom all correspondence should be addressed.
   Google Scholar