The QBO, El Niño, and Tidal Resonance Model
Dr. Thor Karlstrom, Summary by Jennaca Guldenpfennig
This paper analyzes relationships between the quasi-biennial oscillation of stratospheric winds (QBO) and El Niño with the Southern Oscillation (ENSO). Dr. Karlstrom looks at the available data as well as data he has collected to determine a correlation (whether linear or nonlinear) if one exists between these two. The general circulation models (GCMs) are designed for predicting weather events, and Dr. Karlstrom’s goal is to test these models and see what may be missing from them. The more accurate information and parameters used in the GCMs, the better prediction one gets.
Dr. Karlstrom uses various records to test the Milankovitch/Pettersson Climatic Theory, also referred to as the Solar-Insolation/Tidal Resonance Climate Model. Using data records of high-frequency weather events, Dr. Karlstrom can compare the correlation effect to the general circulation models’ results and determine if these events do in fact line up with the Tidal Resonance Model. If these weather events—specifically the QBO and ENSO in this paper—line up with the model, it would be a serious asset to the concept of natural climate change. Knowing this, Dr. Karlstrom looked at a variety of cycle records to compare atmospheric variations with the tidal resonance models.
The figures used in this paper are climatic records plotted with tidal resonance cycles to determine if the data matches the model. The general timescale for these figures and records is based on the 556-year Phase Cycle, which ranges from 1433-1989. Some of the figures have the correlation coefficient calculated, written R. This number ranges from -1 to 1 and is a percentage of the amount of data that matches between cycle turning points and paleoclimatic trend. A percentage close to 1 suggests an almost linear relationship between the data, so the closer to 1 R is, the more the data agrees with each other.
Figure 1’s data is taken from Alaskan bioclimatic and chronostratigraphic data, which agree well with the Phase Cycle presented since the correlation coefficient is close to 1. Figure 2 plots high-resolution records taken from European bogs. This figure suggests that the post-glacial warm/dry period recorded in central and northern Europe line up with North America’s from 6000 to 5000 years before present. The data in Figure 3 is used to derive the European Alps’ Postglacial timberline record. Figure 4 depicts the dendroclimatic cycle with the tidal resonance cycle. The precipitation and temperature records used come from White Mountain and the Sierra Nevada, California; Colorado Plateaus; Hopi Mesa; and Tsegi Canyon. These records have an R-value of 0.86, meaning there is an 86% of match between cycle turning points and the paleoclimate trend. Figure 5 compares climate and sunspot records (taken from Santa Barbara and Iceland) with the Tidal Resonance Model with the result of an apparent positive correlation between them.
Sunspots, tree-ring records, and solar tides are taken from the Midwest and Colorado Plateaus fuel Figure 6. This data seems to match up with the Hale double sunspot cycle, which then relates a positive solar magnetism with a general increase in rainfall on earth. Figure 7 begins to analyze the QBO with the (556-year) tidal resonance model, resulting in a correlation coefficient of 0.93. There is a strong relationship between the QBO record and a portion of the Tidal Resonance Model (specifically, the 2.32-year resonance). Figures 8 and 9 are extensions of the data in Figure 7, comparing the QBO with average global temperature records and sunspot data to the model.
The final figure, Figure 10, relates many records to the Event Cycle (1850-1989). These records include the QBO, El Niño, and tropical air pressure and temperature. This final figure plots all of these records with the portion of the 556-year Phase Cycle that produced a strong correlation with the QBO. When comparing this same cycle with tropical air pressure and temperature records, the result was a correlation coefficient of 0.82. However, the El Niño- Southern Oscillation correlation coefficient (of 0.51) is tremendously weaker, which suggests that GCMs are missing critical parameters that would affect the predictions of El Niño events. Dr. Karlstrom’s research has shown how various climatic and atmospheric records do line up with the Tidal Resonance model, thus suggesting that there is a climate cycle rather than it being random events.
Addendum I: Paleoclimate and the Solar-Insolation / Tidal-Resonance
Climate Model
by Thor Karlstrom
In climate research, instrumental observations of the past 100 or so years drive speculation on climatic process and global changes in atmospheric circulation. Likewise in paleoclimate research, generally less precise but much longer time series provide the basis for speculation on ultimate cause(s) and the resulting temporal and spatial patterns of longer term climate change. Recent papers (Karlstrom 1995, 1996) provide detailed analyses of more than 40 high-resolution time series culled from the extensive paleoclimate literature that appear to define cyclical elements of the Solar-Insolation/Tidal-Resonance Climate Model. The model was earlier referred to as the Milankovitch/Pettersson Climatic Theory (Karlstrom 1961 cf).
This paper provides comparable analyses of an additional 20 or so, evidently supportive, climate and volcanic time series. The tree-ring, historical, pollen, cultural, time-frequency, and hydrologic records range in length from 400 to 90,000 years and spatially from Alaska to Tierra del Fuego. Included are records from both Old World and New World sites. The temporally defined cycles range in wavelength from decades to 10s of thousands of years.
Procedures of analysis and presentation are discussed in previous papers. These differ from those of most paleoclimatic researchers:
- By placing subdivision boundaries at chronostratigraphic Point Boundaries marking inferred warm/dry culminations rather than at conventional (approximate) transitional positions to increase precision in temporal definition and correlation of both longer- and shorter-term events (Karlstrom 1961; Ray and Karlstrom 1968).
- By procedures in presentation of percent-frequency pollen and other types of similar records that contrast the inferred warmer/drier indices from inferred cooler/wetter indices by subtracting the former from the latter components (Hevly and Karlstrom 1974).
- By plotting, at various levels of smoothing, the selected paleoclimatic records on common time scales to graphically judge degree and sign of correlation and to facilitate cyclical analyses of both primary and secondary trends.
- By half-cycle smoothing and differencing (derivatives) of those records based on equal-interval sampling as a direct test of correlation with the theoretically dated Solar Insolation/Tidal Resonance Model (Karlstrom 1995).
The coefficient of correlation (R) shown on most figures is simply the percent of apparent match between paleoclimatic trends and turning points of the theoretical cycle or resonance indicated by wavelength in years within the accompanying parentheses.
Paleoclimate Time Series
Figure 1 summarizes the highest resolution data available relating to climate, hydrology, and cultural history of the Anasazi on the Colorado Plateaus. The striking correlation between longer-term climatic change (from tree-rings), inferred hydrology (from Point Boundary analysis of Southwest alluvial chronostratigraphy), and the number and distribution of tree-ring dated surface sites (crude proxy for population size and movement) suggests strong influence on prehistoric cultural evolution in the region. These results are generally in keeping with both previously and subsequently published interpretations (Karlstrom et al 1976; Euler et al 1979; Berry 1982; Breternitz 1988; Gumerman 1988; Hevly 1988; Karlstrom 1988; Petersen 1988, Plog et al 1988; Orcutt 1991; Dean and Funkhouser 1994). As noted by J.S. Dean (personal communication, 1996) two papers now in press1 provide tree-ring and alluvial reconstructions that bear an uncanny resemblance to my climatohydrologic model. Alternative nonclimatic or behavioral interpretations of cultural adaptations are also addressed in Gumerman (1988) and most recently elaborated by Dean (1996) in the form of a conceptual model interrelating low- and high-frequency changes in environment with demographic and behavioral adaptations of the prehistoric Anasazi over the past 2000 years. A similar pattern of cyclical change (the 139-year Event Cycle) may be reflected historically in Egyptian dynastic changes back to mid-Holocene time (see Figure 22, below).
Figures 2-5 are European historical and tree-ring proxy records of climate that when analyzed by half-cycle smoothing predominantly record in-phase relations with the 139-year Event Cycle (Figure 2) and with the 278-year Subphase Cycle (Figures 4 and 5). Figure 3 suggests that the irregular higher frequency trends of some bioclimatic records may be largely reproduced by plotting the fractional subharmonics to the differing seasons of recurrence.
Figure 6 contains time-frequency diagrams of historical floods and frosts in China that suggest strong in-phase relations of floods with the 278-year Subphase Cycle and of frosts with its 2/1 (139-year) and 6/1 (34.33 year) resonances. The nearly one-to-one phasing of frosts with the 6/1 resonance (Brückner Cycle) is particularly impressive.
Figure 7-10 are pollen and isotope records from the Midwest (Figures 7 and 8). Alaska (Figure 9) and the Southwest (Figure 10) that show common Late Glacial and Postglacial trends and a moderate to strong tendency to oscillate in phase with the secondary 3336-year Substage Cycle.
Figure 1-Colorado
Plateaus dendroclimate, hydrology, and culture on timescale of the 139-year
Event Cycle and its 2/1(69.5-year) resonance.
Decadal tree-ring
indices from Berry (1982); 50-year and half-cycle smoothing. Tree-ring and
radiocarbon-dated buried sites and trees and chronostratigraphic subdivision
from Karlstrom (1976a, 1988); PB = clustering of basal contact dates.
Tree-ring-dated surface sites from Euler et
al (1979), Berry (1982), and Breternitz et
al (1986). Note striking parallelisms between longer-term tree-ring trends,
inferred hydrology and number of dated sites (population proxy).
Figure 2-Northern
European historical wine-harvest dates and quality on timescale of the 278-year
Substage Cycle and its 2/1 (139-year) and 6/1 (23.166-year) resonances.
Annual wide indices
from Ladurie (1971). Strong tendency for oscillations in phase with the
139-year Event Cycle. Note, however, the irregularities in the higher frequency
trends that apparently are largely reproducible by plotting the seasonality of
the fractional subharmonics, as shown in Figure 3.
Figure 3-Correlation
of Ladurie’s (1971) wine-harvest series with seasonal
timing of the 139-year Cycle and its 2/1 (69.5-year) and 6/1 (23.166-year)
resonances.
Smoothing as before
centered on cycle turning points. Two-point cycle = 23.2 years; three-point
cycle = 34.8 years. The resulting seasonal higher frequency series of
2/3/2/2/3-point cycles repeat in all Event Cycles and appear to have a strong
expression in the higher frequency components of the wine-harvest record. The
climatic dynamics involved remain obscure, but the largely replicated pattern
does suggest that resonance forcing at differing seasons may explain part of
the irregularities in some higher frequency bioclimate records.
Figure 4-German
tree-ring record on timescale of the 139-year Event Cycle and its 2/1
(69.5-year) and 6/1 (23.17-year) resonances.
Annual tree-ring
indices from Ladurie (1971). Half-cycle smoothing as before. In contrast to the
comparably smoothed North American Southwest dendroclimatic records that reveal
the regionally robust 139-year Event Cycle (Figure 23), this German record
shows the strongest tendency to oscillate in phase with the longer-term
278-year Subphase Cycle, suggesting differing response functions and/or
regional atmospheric dynamics. Of the higher frequency components, the 6/1
(23.17-year) resonance apparently provides the best fit for the decadal
fluctuations. That temperature may have been the limiting factor on tree growth
in Germany is suggested by its northerly location as well as by other European
evidence that centers the warmer “Little Climatic Optimum” in the 12th century and the warmer “Late Middle Age” in the 15th century. The
tree record further suggests a warmer interval in the 18th century,
or again compatible with that of the Southwest, including the short anomalously
warm interval around AD 1780 present in some of the Southwest dendroclimatic
records (Figure 23-2, -3, and -8). PB= Point Boundary.
Figure 5-Iceland
temperature record on timescale of the 139-year Event Cycle and its 2/1
(69.5-year) and 6/1 (23.166-year) resonances.
Ten-year temperature
indices from Bergthorsen (1969). Half-cycle smoothing as before. Note the
strong tendency to oscillate in phase with the 278-year Subphase Cycle, and the
lesser tendencies with the 139-year Event Cycle and its 2/1 (69.5-year) and 6/1
(23.17-year) resonances. Compare with the shorter wine harvest record (Figure
2) and with the German tree-ring record (Figure 4), both of which appear to
share common cyclical timings though with differing amplitudes. These differences
may, in part, reflect differing regional climates, differing response functions
and lags, or imperfections (nonclimatic noise) in these differing types of
proxy records. The Medieval Warm period (MWP) placed from about AD 900 to 1300
by Lamb (1977) appears to combine several separate warmer intervals as recorded
in higher resolution records from Europe, the Southwest, and elsewhere. For
apparent pos-AD 1700 correlation with Sunspot indices, see Figure 12 in
Karlstrom (1995).
Figure 6-Chinese
historical records of the frequency of floods (centered in 100-year intervals)
and of frosts (centered in 10-year intervals) on timescale of the 278-year
Subphase Cycle and its 2/1 (139-year) and 8/1 (34.75-year) resonances.
Indices from Bradley
(1985:Floods p. 393; Frosts p.383). Strong tendency for the century-smoothed
flood record of northern China to oscillate in phase with the 278-year Subphase
Cycle; equally strong tendency for the decadal frost record of central and
southern China to oscillate in phase with its 2/1 (139-year) and 8/1
(34.75-year = Brückner Cycle) resonances. Note also the anomalously warm
interval around AD 1780, which also appears in the German tree-ring record
(Figure 4) and in some of the Southwest tree-ring records (Figure 23). The
apparent strong correlation with the Brückner Cycle is particularly impressive.
A similar cycle appears to be more mildly expressed back to AD 700 in a decadal
tree-ring record of the southern Colorado Plateaus (Figure 24).
Figure 7-Midwest
isotope of the Holocene (speliothem calcite) on timescale of the 1112-year
Stadial Cycle and its 2/1 (556-year) Phase Cycle.
U/Th-dated
oxygen-isotope (temperature) indices from Dorale et al (1992). The record clearly places the warmest post glacial
interval in the Midwest between 5000 and 6000 years ago, or contemporaneous
with that in Europe (late Atlantic) and the western United States (Altithermal
culmination = AC). The speliothem record also suggests a strong tendency to
oscillate in phase with the Substage Cycle, a weaker tendency with the Stadial
Cycle, and a very weak, or insignificant, tendency with the Phase Cycle due
partly to sample spacing being too wide.
Figure 8-
Pollen-derived precipitation record from the Midwest on timescale of the
3336-year Substage Cycle and its 3/1 (1112-year) Stadial resonance.
Annual precipitation
indices from Webb and Bryson (1972) replotted in 500-year intervals. Strong
tendencies to oscillate in phase with the Substage and Stadial cycles. This
precipitation record, combined with the speliothem temperature record (Figure
7) strongly suggests that at least in part of the Midwest, the Altithermal
marks the driest and the warmest interval in postglacial time, similar to that
in the western United States.
Figure 9-Bioclimatic
record of Sithylemenkat Lake, northern Alaska (N66°) on timescale of the
1112-year Stadial Cycle and its 2/1 Phase (556-year) resonance.
Dated pollen indices
from Anderson et al (1990). The
high-latitude record, though somewhat complacent, seems to replicate middle latitudes
Northern Hemisphere records in placing the warmest/driest postglacial interval
between 5000 and 6000 years ago. The result, however, does not agree with the
general palynological consensus that the warmest postglacial interval in Alaska
is marked by the Populus maximum about 10,000 years ago. The Lake record also
suggests a fairly strong tendency to oscillate in phase with the Substage and
Stadial cycles.
Figure
10-Bioclimatic record (15,500 YBP-present) of Walker Lake, Arizona, on
timescale of the 1112-year Stadial Cycle and its 2/1 (556-year) resonance.
Pollen indices after
Hevly (1989). Strong tendency for oscillations in phase with the Substage Cycle
and a fairly strong tendency with its 3/1 Stadial Cycle. Although the
Altithermal Culmination is seemingly well defined by pollen plus an associated
soil suggesting lowest postglacial lake levels, and earlier, equally warmer and
drier interval is suggested by pollen between 11,000 and 9,000 years ago, or
near the end of the early Holocene (Southwest Anathermal and European Late
Glacial) and essentially coincident with the local Precessional Solar Maximum
9/10 (Figure 26).
Figures 11-14 are Southern Hemisphere pollen and glacial records that suggest generally in-phase relations with Southern Hemisphere precessional insolation trends (which trends are 180 degrees out-of-phase with counterpart trends in the Northern Hemisphere), but also a moderate-to-strong tendency for secondary oscillations to phase with their Northern Hemisphere counterparts.
Figures 15-17 are Pluvial records that are again appear to record out-of-phase primary climatic trends across the Equator but also again suggest moderate to strong in-phase relations of the superposed secondary oscillations in both hemispheres with the global tidal-resonance model.
Figures 18-20 are the longest pollen records from the Northwest (Figure 18). Southwest (Figure 19) and Midwest (Figure 20) that show some to strong tendencies of secondary trends to oscillate in phase with the Substage Cycle and tidal-resonance model.
Figure 11-Lake
Victoria pollen record on timescale of the 1112-year Stadial Cycle.
Pollen indices from
Kendall (1969) replotted in centered 500-year intervals. Very strong tendency
to oscillate in phase with the Substage Cycle; lesser but significant tendency
with the Stadial Cycle. Note that the Altithermal Culmination (AC=maximum
postglacial warm/dry) of the middle to upper latitudes of the Northern
Hemisphere occurs here south of the Equator near the apex of a primary
wetter/colder maximum coincident with Precessional Minimum 10, which is
displaced about 10,000 years from its Northern Hemisphere counterpart (Figure
26).
Figure
12-Bioclimatic record of La Mission Bog, Argentina, on timescale of the
1112-year Stadial Cycle and its 2/1 (556-year) Phase resonance.
Pollen indices and
correlation with dated volcanic ash from Auer (1968) (Karlstrom 1968). As
dated, strong tendency to oscillate in phase with the Stadial Cycle; lesser but
significant tendency with the Phase Cycle. Primary trends seem to parallel that
of the S60o Latitude insolation curve, including the post-2000-YBP
slight upward trend that apparently reflects increased influence of Obliquity
insolation at these higher latitudes (S55oL). Compare with Figures
11 and 26. V=volcanic ash; P=pumice. Also see Figure 27.
Figure
13-Bioclimatic record of Lago I Bog, Laguna de San Rafael area, Chile, on
timescale 1112-year Stadial Cycle and its 2/1 (556-year) Phase resonance.
Pollen indices from
Heusser (1960). Very strong tendency to oscillate in phase with the Stadial
Cycle; a lesser, perhaps insignificant, tendency with the Phase Cycle. Note the
primary warming/drying trend to the present, which parallels the local
Precessional insolation trends near S45o latitude. These in turn are
opposed to those in the counterpart Northern Hemisphere latitudes and with the
correlative Little Ice Age (Figures 18, 19, 21, 26).
Figure
14-Correlation of Chile Pollen, Bog Stratigraphy, and dated glacial events on
timescale of the 3336-year Substage Cycle.
Pollen indices from
Villagren (1988). Dating of Late Llanquaihue moraines after Porter (1981).
Dating of Magellan Straits glaciations and bog chronostratigraphy after
Clapperton et al (1995). Dating of
Tempanos and younger moraines from data in Muller (1960) as discussed in
Karlstrom (1966). Strong pollen tendency for in-phase relations with the
Substage Cycle. The convergent pollen, bog chronostratigraphic and dated
glacial sequences are internally consistent in recording wetter climates and
glaciations between 45,000, 25,000, 12,000 years ago, or compatible with direct
correlation with the precession-dominated insolation trends of the Southern
Hemisphere. These are offset about 10,000 years from counterpart precessional
and glacial trends in the Northern Hemisphere (Figures 21 and 26).
Gl
Si=Glaciolacustrine silt=glaciation. Peat=nonglacial interval.
Figure
15-Time-frequency diagram of Australian lake phases (% high/intermediate/low)
on timescale of the 3336-year Substage Cycle.
Lake-phase indices from
Street and Grove (1979). Fairly strong tendency to oscillate in phase with the
3336-year Substage Cycle. The record seems to provide an additional example of
a Southern Hemisphere climatic record suggesting precessional controls 180
degrees out of phase with Northern Hemisphere counterparts, as exemplified by
the Southwest Lake record (Figure 16). For other records suggesting opposing
primary climatic trends in the two hemispheres, see Figure 26. In the Northern
Hemisphere, the Altithermal Culmination (AC) marks the turning point between
postglacial warming/drying and trends toward cooler/wetter climate; in the
Southern Hemisphere, it is seemingly closely associated with a cool/wet maximum
with warming/drying trends to the present. Note the secondary cool/wet peak at
about 20,000 years ago that appears to correlate with comparable secondary
trends in other Southern Hemisphere records and with opposing secondary trends
in Northern Hemisphere records as shown in Figure 26.
Figure
16-Time-frequency diagram of North American Southwest dated lake-level phases
(% high/intermediate/low) on timescale of the 3336-year Substage Cycle.
Lake-level indices
from Street and Groves (1979). Weak or insignificant tendency to oscillate in
phase with the Substage Cycle, but a much stronger tendency in the
post-25,000-YBP part of the curve controlled by a larger number of dates. More
notable is the general trend of the dataset that suggests wetter/cooler climate
around 20,000 years ago and warmest/driest climate around 5500 years ago, or
generally consistent with regional pollen records (Hevly and Karlstrom 1974;
Karlstrom 1995; this paper).
Figure
17-Time-frequency diagram of African lake phases (% high/intermediate/low) on
timescale of the 3336-year Substage Cycle.
Lake-phase indices
from Street and Grove (1979). Diagram is unsuitable as a test of the
Precessional-insolation control model in that it mixed dates from lake basins
both north and south of the Equator. As earlier suggested (Karlstrom 1966) and
further supported by evidence presented in this paper, whereas longer-term
climatic trends (presumably determined by Precessional insolation) were in
opposition across the Equator, high frequency climatic components (presumably
modulated by tidal resonances) were globally synchronous. Therefore, it seems
significant that the Equator-straddling African dataset shows a fairly strong
tendency to oscillate in phase with the Substage Cycle while showing a mixture
of both Southern and Northern Hemisphere primary trends, suggesting a
predominance of Northern Hemisphere dates in the early part and a predominance
of Southern Hemisphere dates in the layer part of the record.
Figure
18-Bioclimatic record of Humptulips Bog, Washington, on timescale of the
3336-year Substage Cycle and its x3 (10,008-year), x6 (20,016-year), and x12
(40,032-year) super harmonics.
Pollen indices from
Heusser (1965) replotted in 1000-year intervals. Strong tendency for
oscillations in phase with the 3x, 6x, and 12x superharmonics; weak, or
insignificant, tendency with the base Substage Cycle, but a stronger tendency
(0.79) in the post-45,000-year (more firmly dated) part of the record.
B=Boreal, N=Nonarboreal components. PTC=Port Talbot Culmination. AC=Altithermal
Culmination. Note that the apparent coolest/wettest interval (about 20,000
years ago) occurred several thousand years before maximum extension of ice
lobes of the Frazer Glaciation in the nearby Juan de Fuca Straits and Puget
Sound trough.
Figure 19-Southwest
bioclimatic record on timescale of the 3336-year Substage Cycle and its 3/1
(1112-year) Stadial Resonance.
Pollen indices
(Boreal-Nonarboreal) replotted in 500-year intervals from data of the San
Augustin region (Clisby et al 1964)
and of the Swan Lake Bog, southern Idaho (Bright 1968). Fairly strong
tendencies for oscillations in phase with the Substage and Stadial cycles. The
combined record suggests cooler/wetter climate in the Southwest about 23,000
years ago, or thousands of years before maximum extensions of continental ice
during the Last Glacial Maximum (LGM-late Wisconsin). However, the outermost
belts of transecting moraines of this age date oldest in Ohio (about 21,000
YBP) and progressively younger in Illinois (about 28,000 YBP), in Iowa (about
14,000 YBP), and in North Dakota (about 12,000 YBP), presumably because of
westward-shifting ice centers. Which is the LGM?
Figure
20-Bioclimatic record of the Pittsburg Basin, Illinois, on timescale of the
10,008-year Cycle and its 3/1 (3336-year) Substage Resonance.
Pollen indices from
Grüger (1972). Beyond the radiocarbon-controlled part, the record is fine-tuned
to the “standard” marine record of the Equatorial Pacific (Figure 25a), which
places the thermophylous-tree maximum and the Sangamon Soil as correlatives of
5a (85,000 YBP) rather than of 5e (125,000 YBP) in the “standard” Equatorial
Atlantic marine record (Figure 25b), as generally assumed. This alternative
correlation seems more consistent with uniform depositional rates and obviates
the presumption of a major unconformity in the pollen record for which there is
no direct evidence. Dating of the classic morphostratigraphic substages in
designated type localities suggests correlation with the ±3300-year cycle
(Karlstrom 1961, 1976b) and also, as shown above, with secondary oscillations
in the pollen record. Note that the PTC coincides with a minor
thermophylous-tree maximum at the apex of Precessional Minimum 9 and
correlative glaciations (Figure 21).
Figure 21 shows correlation of opposing high-resolution glacial records of the Northern and Southern Hemispheres with marine chronostratigraphy, precessional trends, and latitudinal displacement of the Caloric Equator and associated Intertropical Convergence Zone (ITCZ).
Figures 22-26 are previously published figures (Karlstrom 1995) slightly modified for ready comparison with the additional paleoclimatic time series presented in this Addendum.
Figures 27 and 28 are time-frequency diagrams of global and North American volcanic activity and correlation with the tidal resonance model.
Figure
21-Correlation of highest resolution Northern and Southern Hemisphere glacial
records with marine chronostratigraphy (glacioeustatic sea levels) and, in
turn, with opposing hemispheric processional trends and latitudinal
displacements (in degrees) of the Caloric Equator and associated Intertropical
Convergence Zone (ITCZ).
Richmond (1976) and
Terasmae and Dreimanis (1976) see a remarkable coincidence between their
glacial chronostratigraphies and that of the dated sea level records. This
supports the concept of glaceoeustasy but not necessarily that of
inter-hemispheric climatic synchrony. This is because the much greater volume
of glacial ice in the Northern Hemisphere can mask opposing meltwater trends in
the interconnected oceans of the Southern Hemisphere (Karlstrom 1966).
Clapperton et al (1995) see no
clear-cut correlation of their Southern Hemisphere glacial record with that of
the Northern Hemisphere. However, their B/C and D/E glacial complexes, as
broadly dated between 45,00 years, 25,000 years, and the present, most closely
correlate with the local Southern Hemisphere precessional trends, which in turn
are displaced 10,000 years from their Northern Hemispheric counterparts and
correlative continental glacial events. Insolation curves after Milankovitch
(1941). Alternate N-S displacement of the Caloric Equator and reversing
insolation gradients may serve to force of facilitate modulation of changing
summer circulation patterns in the two hemispheres. Note the apparent absence
in lower Southern Hemisphere of the Northern Hemisphere Alaskan Glaciation due
to opposing precessional trends. (Also Figure 13).
Figure
22-Correlation of Egyptian Dynastic History with schemata of the 139-year Event
Cycle.
Reconstruction of
dynastic record from James (1979), who notes that the dating is approximate and
increasingly so toward the beginning of the record. Most dated boundaries
(solid lines) fall within the dry epicycles; the remaining few (dashed lines)
fall within the wet epicycles, suggesting that environmental stress (lower Nile
levels) played a contributory role in dynastic succession. If so, empirical
evidence for the Event Cycle is extended back to the mid-Holocene. Similarly,
instrumental temperature evidence of its about-70-year half cycle is projected
back to the mid-Holocene through correlation with dated beach ridges of Lake
Michigan (Delacourt et al 1996).
Modified from Figure 11 in Karlstrom (1995).
Figure 23-Summary
evidence for a dendroclimatic cycle in phase with the 139-year Event Cycle.
Half-cycle smoothing
positioned on cycle turning points. Trend correlations, temperature and
precipitation, range from 0.75 to >0.90, or within the upper range of
tree-ring/climatic calibrations. This suggests that the cycle is real,
regionally robust, and related to changing atmospheric dynamics and patterns.
Similar half-cycle analyses of other records may define different regional
patterns and responses, advancing understanding of climatic/biologic process.
Modified from Figure 10 in Karlstrom (1988).
Figure
24-Dendroclimate record of the southern Colorado Plateaus on timescale of the
139-year Event Cycle and its 2/1 (69.5-year) and 4/1 (35-year) Resonances.
Seventeen-station
decadal tree-ring indices from Berry (1982). Half-cycle smoothing as before. Very
strong precipitation response to the Event Cycle; lesser but significant
response to the 4/1 (34.75-year = Brückner Cycle) resonance. Figure same as
Figure 6 in Karlstrom (1995).
Figure 25-Two
“standard” Marine Ice Age chronologies on timescale of the Obliquity Insolation
Cycle (about 40,000 years) and its 2/1 about 20,000 years) Resonance assuming a
response lag of about 4500 years (Karlstrom 1961).
Equatorial Pacific
record from Chuey et al (1987); the
Equatorial Atlantic record from Martinson et
al (1987). Both are fine-tuned to the Milankovitch Climate Model assuming
corresponding response lags. The curves differ mainly in (1) out-of-phase
relations about 225,000 years ago and (2) relative glacial amplitudes in the
past 125,000 years, suggesting either heterogeneities in the marine record of
remaining difficulties with dating procedures and sample mixing. Note the
tendency for in-phase oscillations with the Obliquity 2/1 (about 20,000 year)
Resonance. Modified from Figure 28 in Karlstrom (1995).
Figure
26-Latitudinal control of terrestrial climate records.
These dated records
seem to parallel more closely the local latitudinal insolation trends than the
records at other latitudes. If these climate records are representative of
their respective latitudinal belts, the conventional concept of
interhemispheric climate synchrony must be reassessed as a basis for Ice Age
correlations and resulting global paleoclimatic reconstructions (Karlstrom
1961). Modified from Figure 29 of Karlstrom (1995): *=added record.
Figure
27-Time-frequency diagram and derivative of dated volcanic events on timescale
of the 1112-year Stadial Cycle and its 2/1 (556-year) and 4/1 (278-year)
resonances.
Volcanic-ratio
indices from Bryson and Goodman (1980) converted to Z Scores. Strong tendency
for intervals of increased volcanism to phase with drought (warm/dry) intervals
of the Subphase (278-year) Cycle and stronger tendencies with its x2 (556-year)
and x4 (1112-year) superharmonics. These correlations strongly suggest that tidal
resonances and associated increased rate of Earth’s spin play a role in triggering volcanic activity and minimize the importance of transitory cooling (and
warming) of the atmosphere by volcanic ejecta as a causal factor in longer-term
climate change. From his pioneer work on South American pollen, Veni Auer
(1966) early suggested the correlation between volcanism and warmer climate.
Time-frequency analyses of dated volcanic events culled from the radiocarbon
literature through 1972 suggest similar statistical relationships between
volcanism and warm climate in North America and globally through common
correlation with the tidal model (Figure 28). Bryson and Goodman’s selected
global dataset thus apparently provides independent support for these correlations.
To predict local volcanic events solely by tidal intensity, however, is highly
uncertain because of the statistical nature of the correlation and because of
the triggering mechanism that requires endogenetic processes near threshold
conditions.
Figure
28-Time-frequency diagrams of global and North American volcanic activity on
timescale of the 556-year Phase Cycle and its 2/1 (278-year) Resonance.
Volcanic indices
from Figure 7 in Karlstrom (1975); 100-year class intervals centered in
centuries. Note strong tendency for increased volcanic activity during the
warm/dry epicycles of the Phase Cycle and the lesser tendencies during those of
the Subphase Cycle.
Summary
Detailed cyclical analyses of the additional Northern and Southern Hemisphere terrestrial time series presented in this paper provide an expanded database that substantially fortifies and extends previous interpretations and correlations with the Solar-Insolation/Tidal-Resonance Model. However, in the absence of an accepted climatic theory and a fuller understanding of the climatic dynamics and the atmospheric circulation patterns involved, it is necessary to assume that the presented empirical correlations represent in some fashion direct cause-and-effect relationships and, further, that the expanded database is sufficient to generally satisfy the fundamental requirement of latitudinal representativeness. With these caveats in mind, I conclude the following:
- Longer-term “Ice Age” changes were out of phase across the Equator and evidently modulated by Precessional-insolation trends, which in the Northern Hemisphere are 180 degree out of phase with those in the Southern Hemisphere. The supporting data run counter to the conventional assumption of interhemispheric synchrony and parallel glacial records and suggest that major revisions are required in the derived concepts of global atmospheric circulation dynamics and patterns. Theoretically, there appears to be no apparent reason why, if the Northern Hemisphere glaciers responded directly to summer half-year insolation (the Milankovitch mechanism), the glaciers and associated hydrologic processes in the Southern Hemisphere were not similarly controlled by the opposing local summer-insolation trends. Interconnected ocean bodies explain why the greater volumes of continental ice in the Northern Hemisphere generally dominated the marine meltwater and glacioeustatic records suggest that the current (nominal) atmospheric circulation barrier between hemispheric air masses created by the oscillating Intertropical Confluence Zone persisted throughout the time of record.
- In contrast to the above longer-term climatic trends, superposed secondary oscillations (those less than several thousands of years in duration) were synchronous across the Equator and evidently were modulated by tidal resonances generated essentially simultaneously throughout the global atmosphere.
- Detailed analysis of a bioclimatic record (Figure 3) suggests that differing seasonal timings of fractional higher frequency atmospheric resonances contribute to fluctuational variability present in some bioclimatic time series.
- The longest pollen records (Figures 18-20) suggest a terrestrial cycle of about 10,000 years, comparable in length to that recently noted in higher resolution marine records.
- The correlation of increased global volcanic activity with warmer/drier epicycles of the Tidal-Resonance Model strongly suggests that tidal stressing of the lithosphere played a triggering role in volcanic frequency and minimizes the importance of transitory cooling (and local warming) by volcanic ejecta as a casual factor in longer-term climate changes. To predict local volcanic events solely by tidal intensity, however, is highly uncertain because of the presumed triggering mechanism that requires endogenetic processes near threshold conditions.
- The Solar-Insolation/Tidal-Resonance Model appears to satisfy temporal and spatial similarities and differences in paleoclimatic records not explained by other climate models. It is viable scientific hypothesis in that it remains empirically testable by continued cyclical analyses of scores of other high-resolution records available in the extensive international paleoclimatic literature. Further testing should concentrate on the distribution of records improving uniformity of global coverage—particularly in upper latitudes to satisfy dominant Obliquity controls and along the Equator to satisfy past displacements of the Caloric Equator and associated Intertropical Convergence Zone. These longer-term Equatorial displacements along with changing insolation gradients (Figure 21) are potentially important mechanisms for driving or modulating seasonal atmospheric circulations patterns in the two hemispheres.
- When sufficient supporting data are accumulated, it will be possible to significantly improve (within limits of sampling interval and dating resolution) the dating and correlation of secondary cycles by fine-tuning to the theoretical tidal-resonance model. This model is primarily built on the celestial-mechanics calculations of Pettersson (1914) as cyclically extended by Stacey (1963, 1967) and continues to provide a best fit for the paleoclimatic records presented in this and previous papers. Additional celestial-mechanics analyses of tidal-force changes are required to assess the general validity of the Pettersson-Stacey calculations and to define the higher-frequency components of planetary perturbations.
Acknowledgements
The results of my research on paleoclimate have been tempered in the crucible of vigorous discussions with numerous colleagues over the course of many years. Early on, I am particularly indebted to my U.S. Geological Survey colleagues, the late L.L. Ray, W. Bradley, H.W. Coulter, John Hack, Al Chidester, and Robert R. Sutton; to many others, including the late J. Harlen Bretz, Kritiof Fryxel, Rudy Edmond, Ernst Antevs, V. Auer, Carl Lindroth, Eric Hultén, Alexis Dreimanis, and David Bloomenstock; to George Ball, Robert Rausch, and W.C. Mahany; and also to Rhodes Fairbridge for his insightful, eclectic, and extensive contributions to paleoclimatic research. Later on, special acknowledgement is due to my colleagues (Jeffrey S. Dean, Robert C. Euler, George J Gumerman, and Richard H. Hevly) in the “Gang of Five” for provocative ideas and comradeship during our 15 years of joint field research on environment and prehistoric culture of the Colorado Plateaus. I also thank Jeff Dean, Dick Hevly, and Eric Karlstrom for reading and commenting on an earlier version of this paper. Any errors in data selection, analysis, and interpretation remain my own. Finally, I acknowledge the professionalism and assistance of Carline Isaacs and Vera Tharp, editors of the PACLIM Workshop, who have greatly facilitated the publication of my most recent research results.
Bibliography
Ancour, A-M, C. Hillaire-Marchel, and R. Bonnefille. 1994. Late Quaternary biomass changes from 13C measurements in a highland peat bog from Equatorial Africa (Barundi). Quat. Research 41:225-233.
Anderson, P.N., R.E. Reanier, and L.B. Brubaker. 1990. A 14,000-year Pollen Record from Sithylemenkat Lake, North-Central Alaska. Quat. Research 33:400-404.
Andrews, J.T., and J.D. Ives. 1972. Late glacial and postglacial events (<10,000 BP) in the eastern Canadian Arctic with particular reference to the Cockburn Moraines and break-up of the Laurentide ice sheet. Pages 149-174 in Acta Univ. Oul. Series A, No. 3, Geol. No. 1. Y. Vasaari, H. Hyvarinen, and S. Hicks, editors.
Antevs, E. 1955. Geologic-climatic dating in the West. Am. Antiquity, 20:317-335.
Auer, V. 1958. The Pleistocene of Fuego-Patagonia, Pt. II: The History of the Flora and Vegetation. Pub. Inst. Geogr., Univ Helsinkiensis 30, Helsinki.
Auer, V. 1966, Climatic variations in Fuego-Patagonia. Pages 37-55 in Pleistocene and Post-pleistocene climatic variation in the Pacific area. D.L. Blumenstock, editor. Bishop Museum Press Honolulu.
Barnola, J.M., D. Raymond, Y.S. Korotkevich, and C. Lorius. 1987. Vostock ice core provides 160,000 year record of atmospheric CO2. Nature 329:4-10.
Bergthorsen, P. 1969. An estimate of drift ice and temperature in Iceland in 1000 years. Jour. of Jokull 19:94-101.
Berry, M.S. 1982. Time/Space and Transition in Anasazi Prehistory. Univ. of Utah Press, Salt Lake City. 147 pp.
Bloom, A.L. et al. 1974, Quaternary sea level fluctuations on a tectonic coast: New 230Th/234U dates from the Huon peninsula, New Guinea. Quat. Research 4:185-205.
Bradley, R.S. 1985. Quaternary Paleoclimatology. Allen and Unwin, Boston.
Breternitz, D.A. 1986. Dolores Archaeological Program: Final Synthetic Report. U.S. Department of the Interior, Bureau of Reclamation, Engineering and Research Center, Denver.
Bright, R.C. 1968. Pollen and seed Stratigraphy of Swan Lake, southeastern Idaho: Its relationship to regional vegetations history. Jour. Idaho State Univ. Mus. Tebiwa, 9.
Bryson, R.A., and B.M. Goodman. 1980. Volcanic activity and climatic changes. Science 207:1041-1044.
Chuey, J.M., D.K. Rea, and N.G. Pisias. 1987. Late Pleistocene Paleoclimatology of the central Equatorial Pacific: A quantitative record of eolian and carbonate deposition. Quat. Research 38:323-33.
Clapperton, C.M., D.E. Sudgen, D.S. Kaufman, and R.D. McCulloch. 1995. The last glaciation in central Magellan Strait, southernmost Chile. Quat. Research 44:133-148.
Clisby, K., and P.B. Sears. 1956. San Augustin Plains – Pleistocene climatic changes. Science 124:537-539.
Clisby, K.H., F. Foreman, and P.B. Sears. 1962. Palynology-diastrophism-erosion. Pages 28-30 in Internat. Pollen Conf. field excursion. Pleistocene palynology of the southwest: Tucson, Arizona.
Dean, J.S. 1996. Demography, environment and subsistence stress. Pages 25-56 in Resource Stress, Economic Uncertainty and Human Response in the Prehistoric Southwest. J.A. Tainer and B. Tainer editors. Workshop Proceedings XXIV, Santa Fe Institute Studies in the Sciences of Complexity, Addison-Wesley Publishing Company, Advanced Book Program, Reading, MA.
Dean, J.S., and W.J. Robinson. 1978. Expanded tree-ring chronologies for the southwest United States. Chronology Series III, Laboratory of Tree-ring Research. Univ. of Arizona, Tucson. 58 pages.
Dean, J.S., and G.S. Funkhouser. 1994. Dendroclimatic reconstructions for the southern Colorado Plateau. Pages 85-104 in Climate Change in the Four Corners and Adjacent Regions: Implications for Environmental Restoration and Land-Use Planning, W.J. Waugh, editor. Proceedings of Workshop, Campbell College Center, Mesa State College, Grand Junction, Colorado, Sponsored by U.S. Department of Energy, Grand Junction Projects Office, Desert Research Institute, U.S. Bureau of Land Management, Mesa State College.
Delacourt, P.A., W.H. Petty, and H.R. Delacourt. 1996. Late-Holocene formation of Lake Michigan beach ridges correlated with a 70-year oscillation in global climate. Quat. Research 45:321-326.
Dorale, J.A. 1992. A high resolution record of Holocene climate change in speliothem calcite from Cold Water Cave. Northeast Iowa. Science. 258:1626-1630.
Euler, R.C., G.J. Gumerman, T.N.V. Karlstrom, J.S. Dean, and R.H. Hevly. 1979. The Colorado Plateaus: Cultural dynamics and paleoenvironment. Science 205:1089-1101.
Force, E.L., and W. Howell. In press. Holocene depositional history and Anasazi occupation of McElma Canyon, southwestern Colorado. Arizona State Museum Archaeological Series.
Fritts, H.C. 1963. Tree-ring analysis (dendroclimatology). Pages 1008-1026 in The Encyclopedia of Atmospheric Sciences and Astrogeology of Lake Biwa and the Japanese Pleistocene 4.
Gasse, F., and G. Delibrious. 1976. Les Lacs de L’afar Centrol (Ethiopie et F. T. A. I.). Pages 529-575 in Shoji Horie, Ed. Paleoclimatology of Lake Biwa and the Japanese Pleistocene 4.
Graumlisch, L.J. 1992. A 1000-year record of climatic variability in the Sierra Nevada, California: Handout, Am. Quat. Assoc. 12th Biennial Meeting, August 24-26, Univ of Calif., Davis.
Grissino-Mayer, H.D. In press. A 2129-year annual record of drought for northwestern New Mexico, USA. Tree-Rings, Environment and Humanity. J.S. Dean, D. Mako, and T.W. Swetman, editors. Proceedings of the International Conference, Tucson, Arizona, May 17-21, 1994. Radiocarbon.
Grüger, E. 1972. Late Quaternary vegetation development in south-central Illinois. Quat. Research 2:217-231.
Gumerman, G.E., Ed. 1988. The Anasazi in a Changing Environment. Cambridge Univ. Press, London.
Heusser, C.J. 1960. Late-pleistocene environments of the Laguna de San Rafael area. Chile. The Geographical Review, L. 4:555-577.
Heusser, C.J. 1965. A Pleistocene phytogeographic sketch of the Pacific Northwest and Alaska. Pages 469-483 in The Quaternary of the United States. H. E. Wright and B.G. Frey, editors. Princeton Univ. Press, Princeton, NJ.
Hevly, R.H. 1988. Prehistoric vegetation and paleoclimates on the Colorado Plateaus. Pages 92-118 in The Anasazi in a Changing Environment., J.G. Gumerman, editor. Cambridge Univ. Press, Cambridge, GB.
Hevly, R.H. 1989. Post-15,500 BP Pollen of Walker Lake, Arizona. (Preliminary manuscript).
Hevly, R.H., and T.N.V. Karlstrom. 1974. Southwest paleoclimate and continental correlations. Pages 257-295 in Geology of Northern Arizona and Notes on Archaeology and Paleoclimate. T.N.V. Karlstrom, G. Swann, and R.L. Eastwood, editors. Geol. Soc. of America Field Guide 1. Rocky Mountain Meeting, Flagstaff, AZ.
James, T.G.H. 1979. Introduction to Ancient Egypt. Farrar Straus Giroux, New York, in association with the British Museum Publication Limited, London. 286 pp.
Karlstrom, T.N.V. 1961. The glacial history of Alaska: Its bearing on paleoclimatic theory. Annals New York Academy of Science 95, Article 1:290-340.
Karlstrom, T.N.V. 1964. Quaternary geology of the Kenai Lowland and glacial history of the Cook Inlet Region, Alaska. U.S. Geological Survey Professional Paper 443. 69 pp.
Karlstrom, T.N.V. 1966. Quaternary glacial record of the North Pacific region and worldwide climatic change. Pages 153-182 in Pleistocene and Post-Pleistocene Climatic Variations in the Pacific Area. D.J. Blumenstock, editor. Bishop Museum Press, Honolulu.
Karlstrom, T.N.V. 1975. Cenozoic Time-stratigraphy of Colorado Plateaus. Continental Correlations and some Paleoclimatic Implications. Handout. Symposium on Quaternary Stratigraphy, York University, Toronto, May 1975.
Karlstrom, T.N.V. 1976a. Stratigraphy and paleoclimate of the Black Mesa Basin. U.S. Geological Survey Circular 778:18-22.
Karlstrom, T.N.V. 1976b. Quaternary and upper Tertiary time-stratigraphy of the Colorado Plateaus, continental correlations and some paleoclimatic implications. Pages 275-282 in Quaternary Stratigraphy of North America. W. C. Mahany, editor. Bowden, Hutchinson and Ross, Stroudsburg, PA.
Karlstrom, T.N.V. 1988. Alluvial chronology and hydrologic change of Black mesa and nearby regions. Pages 45-91 in The Anasazi in a Changing Environment. G.J. Gumerman, editor. School of American Research Advance Seminar Book, Cambridge Univ. Press, London.
Karlstrom, T.N.V. 1995. A 139-year dendroclimatic cycle, cultural/environmental history, sunspots and longer-term cycles. Pages 137-159 in Proceedings of the Eleventh Annual Pacific Climate (PACLIM) Workshop. April 19-22, 1994. C.M. Isaacs and V.L. Tharp, editors. Interagency Ecological Program, Technical Report 40. California Department of Water Resources.
Karlstrom, T.N.V. 1996. The QBO, El Niño, and Tidal Resonance Model. Pages 241-253 in Proceedings of the Twelfth Annual Pacific Climate (PACLIM) Workshop, May 2-5, 1995. C.M. Isaacs and V.L. Tharp, editors. Interagency Ecological Program, Technical Report 46. California Department of Water Resources.
Karlstrom, T.N.V., G.J. Gumerman, and R.C. Euler. 1976. Paleoenvironmental and cultural correlates in the Black Mesa region. Pages 149-161 in Papers on the Archaeology of Black Mesa, Arizona. G.J. Gumerman and E.C. Euler, editors. Southern Illinois University Press, Carbondale.
Kendall, R.L. 1969. An ecological history of the Lake Victoria Basic. Ecological Monographs 39:121-176.
Ladurie, E.L. 1971. Times for Feast and Times of Famine: A History of Climate Since the Year 1000. Doubleday, NY.
Lamarche, V.C. Jr. 1974. Paleoclimatic inferences from long tree-ring records. Science 183:1043-1048.
Lamb, H.H. 1977. Climate: Present, Past and Future, Vol. 2. Climate History and the Future. Methuen, London.
Martinson, D.G., N.G. Pisias, J.D. Hays, J. Imbrie, T.C. Moore Jr., and N.J. Shackleton. 1987. Age dating and the orbital theory of the Ice Ages: Development of a high-resolution 0 to 300,000-year chronostratigraphy. Quat. Research 27:1-29.
Mesolella, K.J. 1969. The astronomical theory of climatic change, Barbados data. Jour. Geology 2:250-274.
Milankovitch, M. 1941. Canon of Insolation and the Ice-age Problem. Translated from German by Israel Program for Scientific Translation, Jerusalem. Available from U.S. Department of Commerce, Springfield, Virginia.
Muller, E.H. 1960. Glacial geology of the Laguna San Rafael area. Am. Geog. Soc. Southern Chile Expedition 1959. Tech. Report (Mimeo).
Orcutt, J.D. 1991. Environmental variability and settlement changes on the Pajarito Plateau, New Mexico. American Antiquity, 56:315-332.
Petersen, K.L. 1988. Climate and the Dolores River Anasazi. University of Utah Anthropological Papers 113, University of Utah Press, Salt Lake City.
Pettersson, O. 1914. Climatic variations in historic and prehistoric times. Svenska hydrogr. Biol. Komm. Skriftern 5.
Plog, F., G.J. Gumerman, R.C. Euler, J.S. Dean, R.H. Hevly, and T.N.V. Karlstrom. 1988. Anasazi adaptive strategies: The model predictions and results. Pages 230-276 in The Anasazi in a Changing Environment. G.J. Gumerman, editor. Cambridge Univ. Press, Cambridge, GB.
Porter, S. 1981. Pleistocene glaciations in the southern Lake district of Chile. Quat. Research. 16:263-292.
Ray, L.L., and T.N.V. Karlstrom. 1968. Theoretical concepts in time-stratigraphic subdivision of glacial deposits. Pages 115-119 in Means of Correlation of Quaternary Stratigraphy of North America. R.B. Morrison and H.E. Wright Jr., editors. Univ. of Utah Press, Salt Lake City.
Richmond, G.M. 1976. Pleistocene stratigraphy and chronology in the mountains of western Wyoming. Pages 353-379 in Quaternary Stratigraphy of North America. W.C. Mahany, editor. Dowden, Hutchinson and Ross, Stroudsburg, PA.
Scuderi, L.A. 1987. Glacial variations in the Sierra Nevada, California, as related to a 1200-year tree-ring chronology. Quat. Research 27:220-231.
Stacey, C. 1963. Cyclical measures: Some tidal aspects concerning equinoctial years. Annals New York Academy of Science 105, Article 2:421-460.
Stacey, C. 1967. Earth motions and time and astronomic cycles. Pages 335-340 and 999-1003 in The Encyclopedia of Atmospheric Sciences and Astrogeology. R. Fairbridge, editor. Reinhold Publishing, New York.
Street, F.A., and A.T. Grove. 1979. Global maps of lake-level fluctuations since 30,000 yr B.P. Quat. Research 12:83-118.
Sturchio, N.C., K.L. Pierce, M.T. Murrell, and M.L. Sorey. 1994. Uranium-series ages of Travertine and timing of the last glaciation in the northern Yellowstone area, Wyoming-Montana. Quat. Research, 42:265-277.
Terasmae, J., and A. Dreimanis. 1976. Quaternary stratigraphy of southern Ontario. Pages 51-63 in Quaternary Stratigraphy of North America. W.C. Mahany, editor. Dowden, Hutchinson and Ross, Stroudsburg, PA.
Vernekar, A.D. 1972. Long period global variations of incoming solar radiation. Meteorological Monographs 12. Whole monograph 19 pages + 170 unnumbered pages.
Villagrén, C. 1988. Late Quaternary vegetation of southern Isla Grande de Chloe, Chile. Quat. Research 29:294-306.
Webb III, T., and R.A. Bryson. 1972. Late- and postglacial climatic changes in the northern Midwest USA: Quantitative estimates derived from fossil pollen spectra by multivariate statistical analysis. Quat. Research 2:70-115.
Wingard, I.J., T.B. Coplen, J.M. Landwehr, A.C. Riggs, K.B. Ludwig, B.J. Szabo, P.T. Kolegar, and K.M. Revesz. 1992. Continuous 500,000-year climate record from vein calcite in Devils Hole, Nevada. Science 258:255-260.
