Hi Jim:
Those "layers" you have identified are a combination of outer bark (cork), cork cambium, and secondary phloem. Those layers should not be used to estimate tree age.
Wood, on the other hand, is comprised almost exclusively out of secondary xylem. An annual growth ring is comprised of early wood (spring wood) and late wood (summer wood). Each annual growth ring for temperate woody species is considered as one year's worth of growth.
Best, Jay