Suess said he drew the line showing the wiggles by "cosmic schwung" – freehand, in other words.
It was unclear for some time whether the wiggles were real or not, but they are now well-established.
Furthermore, if a sample has been contaminated, scientists will know about it.
Ironically, given how supposedly useless carbon dating is claimed to be, Creation Ministries International rests part of their "101 Evidences" on carbon dating being a useful method for within several thousand years.
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Another claim is that the inconsistency of C levels in the atmosphere over the past 60,000 years creates a validity issue.
However, calibration of carbon levels using tree rings and other sources keep these effects to an extremely small level.
Significant additions to the datasets used for INTCAL13 include non-varved marine foraminifera data, and U-Th dated speleothems.
The INTCAL13 data includes separate curves for the northern and southern hemispheres, as they differ systematically because of the hemisphere effect; there is also a separate marine calibration curve.
These were superseded by the INTCAL series of curves, beginning with INTCAL98, published in 1998, and updated in 2004, 2009, and, most recently, 2013.
The improvements to these curves are based on new data gathered from tree rings, varves, coral, and other studies.
Carbon dating has a certain margin of error, usually depending on the age and material of the sample used.