Anchor the extracted signal to an astronomical solution using a GUI.
The astro_anchor function allows one to tie minima or maxima in the proxy record
to minima or maxima in an astronomical solution.
By tying the proxy record to an astronomical solution one will generate tie-points which
can be used to generate a astrochronological age-model
As minima or maxima in the proxy record are tied to minima or maxima in an astronomical solution it is
important to provide input which has clearly definable minima and maxima.
As such input should be of a "sinusoidal" nature otherwise the extract_astrosolution=TRUE
and/or extract_proxy_signal=TRUE options need to be set to TRUE to create sinusoidal signals.
Astronomical solutions option are:
La2004 Eccentricity solution available via the getLaskar function
La2004 Obliquity solution available via the getLaskar function
La2004 Precession solution available via the getLaskar function
La2010a Eccentricity solution available via the getLaskarfunction
La2010a Obliquity solution
La2010a Precession solution
La2010b Eccentricity solution available via the getLaskar function
La2010b Obliquity solution
La2010b Precession solution
La2010c Eccentricity solution available via the getLaskar function
La2010c Obliquity solution
La2010c Precession solution
La2010d Eccentricity solution available via the getLaskar function
La2010d Obliquity solution
La2010d Precession solution
La2011 Eccentricity solution available via the getLaskar function
ZB17a Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17a Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17b Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17b Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17c Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17c Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17d Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17d Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17e Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17e Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17f Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17f Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17h Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17h Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17i Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17i Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17j Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17j Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17k Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17k Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17p Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB17p Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB18a Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB18a Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20a Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20a Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20b Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20b Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20c Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20c Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20d Eccentricity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
ZB20d Obliquity solution downloadable via https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro.html
405kyr eccentricity 405 metronome can be generated using the formula:
e405=0.027558-0.010739*cos(0.0118+2(pi)*(t/405000)) (laskar et al., 2004 & laskar 2020)173kyr obliquity metronome can be generated using using the formula:
es3-s6(t) = 0.144*cos(1.961+2(pi)*(t/172800) (laskar et al., 2004 & laskar 2020)An etp model using the etp function of the 'astrochron' R package
Usage
astro_anchor(
astro_solution = NULL,
proxy_signal = NULL,
proxy_min_or_max = "max",
clip_astrosolution = FALSE,
astrosolution_min_or_max = "max",
clip_high = NULL,
clip_low = NULL,
extract_astrosolution = FALSE,
astro_period_up = 1.2,
astro_period_down = 0.8,
astro_period_cycle = NULL,
extract_proxy_signal = FALSE,
proxy_period_up = 1.2,
proxy_period_down = 0.8,
proxy_period_cycle = NULL,
pts = 3,
verbose = FALSE,
time_dir = TRUE,
genplot = FALSE
)Arguments
- astro_solution
Astronomical solution to which the proxy record is anchored (matrix or data frame with two columns: age (e.g. in kyr) in column 1, insolation/angle/value in column 2). Its maxima or minima (see
astrosolution_min_or_max) are the candidate tie points. Required, no default (Default=NULLgives an error).- proxy_signal
Proxy record to be anchored (matrix or data frame with two columns: depth or time in column 1, proxy value in column 2). Its maxima or minima (see
proxy_min_or_max) are tied one by one to the astronomical solution. For the best results the astronomical component should be extracted first, either beforehand (filtering/cycle extraction) or withextract_proxy_signal = TRUE. Required, no default (Default=NULLgives an error).- proxy_min_or_max
Tie the maxima or the minima of the proxy record (character):
"max"or"min".Default="max".- clip_astrosolution
Clip the astronomical solution to the age range
clip_lowtoclip_highbefore anchoring (logical, TRUE or FALSE).Default=FALSE.- astrosolution_min_or_max
Tie to the maxima or the minima of the astronomical solution (character):
"max"or"min".Default="max".- clip_high
Upper age limit of the clipped astronomical solution, in the unit of its first column (numeric); only used when
clip_astrosolution = TRUE.Default=NULL.- clip_low
Lower age limit of the clipped astronomical solution, in the unit of its first column (numeric); only used when
clip_astrosolution = TRUE.Default=NULL.- extract_astrosolution
Extract one astronomical cycle from the astronomical solution before anchoring (logical, TRUE or FALSE): a wavelet transform (
analyse_wavelet) is computed and the cycleastro_period_cycleis extracted withextract_signal_stable.Default=FALSE.- astro_period_up
Factor by which
astro_period_cycleis multiplied to give the upper (longest) period of the band extracted from the astronomical solution (numeric, > 1).Default=1.2.- astro_period_down
Factor by which
astro_period_cycleis multiplied to give the lower (shortest) period of the band extracted from the astronomical solution (numeric, between 0 and 1).Default=0.8.- astro_period_cycle
Period of the astronomical cycle to extract from the astronomical solution, in the unit of its first column (e.g. kyr) (numeric, > 0); required when
extract_astrosolution = TRUE.Default=NULL.- extract_proxy_signal
Extract one astronomical cycle from the proxy record before anchoring (logical, TRUE or FALSE), with
analyse_waveletandextract_signal_stable.Default=FALSE.- proxy_period_up
Factor by which
proxy_period_cycleis multiplied to give the upper (longest) period of the band extracted from the proxy record (numeric, > 1).Default=1.2.- proxy_period_down
Factor by which
proxy_period_cycleis multiplied to give the lower (shortest) period of the band extracted from the proxy record (numeric, between 0 and 1).Default=0.8.- proxy_period_cycle
Period of the cycle to extract from the proxy record, in the unit of the first column of the record that is filtered (numeric, > 0); required when
extract_proxy_signal = TRUE.Default=NULL.- pts
Number of points to the left and right of a value that the peak detection (
max_detect,min_detect) compares it with (integer, >= 1): a value is a peak if it is higher (or lower) than all of them. Larger values give more certain peaks but may miss minor peaks.Default=3.- verbose
Ask for confirmation in the console after every selected tie point and print feedback (logical, TRUE or FALSE); with
FALSEevery selection is accepted directly.Default=FALSE.- time_dir
Direction of time in the proxy record (logical):
TRUEif time increases with increasing depth/time values (e.g. borehole data that get older with depth),FALSEif it decreases (e.g. stratigraphic logs with 0 m at the base of the section); the proxy record is then plotted with a reversed axis.Default=TRUE.- genplot
Plot the proxy record and the astronomical solution with the selected tie points connected after the anchoring (logical, TRUE or FALSE).
Default=FALSE.
Value
The output is a matrix with the 4 columns. The first column is the depth/time of the proxy tie-point. The second column is the time value of the astronomical solution tie-point. The third column is the proxy value of the proxy tie-point. The fourth column is the proxy/insolation value of the astronomical solution tie-point. If genplot is set to true then at plot of the of the achored points will be plotted
References
J. Laskar, P. Robutel, F. Joutel, M. Gastineau, A.C.M. Correia, and B. Levrard, B., 2004,
A long term numerical solution for the insolation quantities of the Earth: Astron. Astrophys.,
Volume 428, 261-285. <doi:10.1051/0004-6361:20041335>
Laskar, J., Fienga, A., Gastineau, M., Manche, H., 2011a,
La2010: A new orbital solution for the long-term motion of the Earth: Astron. Astrophys.,
Volume 532, A89 <doi:10.1051/0004-6361/201116836>
Laskar, J., Gastineau, M., Delisle, J.-B., Farres, A., Fienga, A.:
2011b, Strong chaos induced by close encounters with Ceres and Vesta, Astron: Astrophys.,
Volume 532, L4. <doi:10.1051/0004-6361/201117504>
J. Laskar,Chapter 4 - Astrochronology,Editor(s): Felix M. Gradstein, James G. Ogg, Mark D. Schmitz, Gabi M. Ogg,Geologic Time Scale 2020,Elsevier,2020,Pages 139-158,ISBN 9780128243602,
<doi:10.1016/B978-0-12-824360-2.00004-8>
Zeebe, R. E. and Lourens, L. J.
Geologically constrained astronomical solutions for the Cenozoic era,
Earth and Planetary Science Letters, 2022 <doi:10.1016/j.epsl.2022.117595
>
Richard E. Zeebe Lucas J. Lourens ,Solar System chaos and the Paleocene–Eocene boundary age constrained by geology and astronomy.Science365,926-929(2019)
<doi:10.1126/science.aax0612>
Zeebe, Richard E. "Numerical solutions for the orbital motion of the Solar System over the past 100 Myr: limits and new results."
The Astronomical Journal 154, no. 5 (2017): 193. <doi:10.3847/1538-3881/aa8cce>
Stephen R. Meyers,Cyclostratigraphy and the problem of astrochronologic testing, Earth-Science Reviews,Volume 190,2019,Pages 190-223,ISSN 0012-8252 <doi:10.1016/j.earscirev.2018.11.015>
Examples
# \donttest{
if (interactive()) { # needs mouse input (identify())
# Use the grey_track example tracking points to anchor the grey scale data set
# of Zeeden et al., (2013) to the p-0.5t la2004 solution
grey_wt <-
analyse_wavelet(
data = grey,
dj = 1/200,
lowerPeriod = 0.02,
upperPeriod = 256,
verbose = FALSE,
omega_nr = 8
)
#Use the pre-tracked grey_track curve which traced the precession cycle
grey_track <- completed_series(
wavelet = grey_wt,
tracked_curve = grey_track,
period_up = 1.25,
period_down = 0.75,
extrapolate = TRUE,
genplot = FALSE
)
# Extract precession, obliquity and eccentricity to create a synthetic insolation curve
grey_prec <- extract_signal(
tracked_cycle_curve = grey_track[,c(1,2)],
wavelet = grey_wt,
period_up = 1.2,
period_down = 0.8,
add_mean = FALSE,
tracked_cycle_period = 22,
extract_cycle = 22,
tune = FALSE,
plot_residual = FALSE
)
grey_obl <- extract_signal(
tracked_cycle_curve = grey_track[,c(1,2)],
wavelet = grey_wt,
period_up = 1.2,
period_down = 0.8,
add_mean = FALSE,
tracked_cycle_period = 22,
extract_cycle = 110,
tune = FALSE,
plot_residual = FALSE
)
grey_ecc <- extract_signal(
tracked_cycle_curve = grey_track[,c(1,2)],
wavelet = grey_wt,
period_up = 1.25,
period_down = 0.75,
add_mean = FALSE,
tracked_cycle_period = 22,
extract_cycle = 40.8,
tune = FALSE,
plot_residual = FALSE
)
insolation_extract <- cbind(grey_ecc[,1],grey_prec[,2]+grey_obl[,2]+grey_ecc[,2]+mean(grey[,2]))
insolation_extract <- as.data.frame(insolation_extract)
insolation_extract_mins <- min_detect(insolation_extract,pts=3)
#use the astrosignal_example to tune to which is an \cr
# ETP solution (p-0.5t la2004 solution)
astrosignal_example <- na.omit(astrosignal_example)
astrosignal_example[,2] <- -1*astrosignal_example[,2]
astrosignal <- as.data.frame(astrosignal_example)
#anchor the synthetic insolation curve extracted from the grey scale record to the insolation curve.
anchor_pts <- astro_anchor(
astro_solution = astrosignal,
proxy_signal = insolation_extract,
proxy_min_or_max = "min",
clip_astrosolution = FALSE,
astrosolution_min_or_max = "min",
clip_high = NULL,
clip_low = NULL,
extract_astrosolution = FALSE,
astro_period_up = NULL,
astro_period_down = NULL,
astro_period_cycle = NULL,
extract_proxy_signal = FALSE,
proxy_period_up = NULL,
proxy_period_down = NULL,
proxy_period_cycle = NULL,
pts=3,
verbose=FALSE, #set verbose to TRUE to allow for anchoring using text feedback commands
genplot=FALSE
)}# }