Mainstream Chronologies face major problems whenever they mix the artistry of dendrochronology with the science of radiocarbon dating.
These problems initially arise because numerous procedures in dendrochronology are based upon subjective human intervention:
Sample selection: which trees should be sampled out of the population?
Sample taking: which part of the tree should be sampled?
Missing rings: which rings should be deemed missing?
Double rings: which rings should be deemed double rings?
Triple rings: which rings should be deemed triple rings?
Sample rejection: which samples should be rejected?
Crossdating: how accurate does the crossdating have to be?
Site Master: how many samples are adequate based upon species and climate?
Bridging: how many rings must overlap based upon species and climate?
Bridging: how many samples are used to confirm a bridge?
Bridging: how accurate does the crossdating have to be?
Chronology: how many samples are adequate based upon species and climate?
Mixing: how are different species mixed into a chronology?
However, these initial problems are further compounded whenever dendrochronology is used to calibrate radiocarbon dating.
This is especially true when radiocarbon dating has been selectively employed to establish a tree-ring chronology that is subsequently used to calibrate radiocarbon dating.
However, radiocarbon dating could become totally self-reliant by dumping dubious dendrochronological calibration and adopting a self-calibrating technique based upon the Δ14C values in the chronology.
The Δ14C values in a chronology can clearly be used to identify catastrophic gaps and catastrophic rises in carbon-14 [see above].
A proof-of-concept self-calibrating chronology [based upon the Irish Oak chronology] clearly demonstrates that third order polynomials provide a series of statistical calibration curves that highlight lacunae in the samples.
This [first cut] self-calibrating chronology provides Irish archaeologists with a scientific foundation upon which they should be able to a) identify strata lacunae and b) date artefact layers in the strata.