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It is not correct to state or imply from this evidence that the radiocarbon dating technique is thus shown to be generally invalid.
They have been slowly built up by matching ring patterns between trees of different ages, both living and dead, from a given locality.
Measurements made using specially designed, more elaborate apparatus and more astute sampling-handling techniques have yielded radiocarbon ages for anthracite greater than 70,000 radiocarbon years, the sensitivity limit of this equipment. Continuous series of tree-ring dated wood samples have been obtained for roughly the past 10,000 years which give the approximate correct radiocarbon age, demonstrating the general validity of the conventional radiocarbon dating technique.
Several long tree-ring chronologies have been constructed specifically for use in calibrating the radiocarbon time scale.
By radiocarbon dating a piece of wood which has been dated by counting the annual growth rings of trees back to when that piece of wood grew, a calibration table can be constructed to convert radiocarbon years to true calendar years.
Of course, the table, so constructed, will only give the correct calibration if the tree-ring chronology which was used to construct it had placed each ring in the true calendar year in which it grew.If this water is in contact with significant quantities of limestone, it will contain many carbon atoms from dissolved limestone.