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Well they actually want to use the Suigetsu varves (so-called varves) to calibrate Carbon dating, that’s how confident we are in Carbon dates. As for using tree rings, they generally use floating pine chronologies, which are based on matching sequences. The problem with that is the overlaps that continue a chronology are not statistically unique, weather sequences can cause similar looking sequences in tree rings that are actually completely unrelated. So if you want to base the entire history of earth and the accuracy of carbon dating on a few tree rings that “seem to match” in sequence, all you will end up with is a lot of confirmation bias.
Answers in Genesis deals with this pretty well as discussed here:
Geologists have known for quite some time that multiple laminae may form very rapidly. French creation scientist Guy Berthault performed groundbreaking laboratory experiments demonstrating that multiple laminations can form spontaneously when sediment mixtures consisting of particles of different sizes are deposited in air, running water, or still water. This occurs because particles of different sizes have a tendency to spontaneously segregate and stratify themselves. Berthault’s research was published in two papers published by the French Academy of Sciences (Berthault 1986, 1988a), and English translations of these papers were subsequently published in a prominent creation research journal (Berthault 1988b, 1990).
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Individual laminae (and “varves”) result from changes in flow conditions under intermittently energetic conditions (Lazar et al. 2015), not from annual events. Thus energetic conditions are known to result in the deposition of varve-like laminae. Lest it be argued that such energetic depositional conditions never occurred in Lake Suigetsu, numerous turbidite and flood debris layers have been recognized in the drill-cores of the lake’s bottom sediments and attributed to “past extreme events” (Schlolaut et al. 2014).
Glock, Studhalter, and Agerter (1960) concluded that development of multiple layers in a single year (sometimes called “false rings”) was more common than a single layer forming in a year and that very few annual increments consist of only one ring layer. Mirov (1967), in his book on the genus Pinus , concluded that tree “rings” formed after nearly every cloudburst, tying the appearance of rings to rainfall events in the dry White Mountains climate.
Theres a lot of confirmation bias going on, and different methods being accepted when they appear to tie into other methods. But in the end, it’s just precipitation events being misunderstood as annual events, in ice cores, in lake sediments, and in tree rings. And the unreliability of carbon dating using these other methods for “calibration”.