The penetration depth anisotropy ratio gamma of equilibrated, oxygen-d
eficient YBa2Cu3Ox superconducting single crystals (7 > x > 6.35) has
been measured by the equilibrium torque magnetometry method. The exper
iments were performed in a 1.8 T field at temperatures several K below
the onset T(c) of superconductivity. The anisotropy gamma value of YB
a2Cu3Ox increases sharply from gamma = 8.7 +/- 0.2 for x almost-equal-
to 6.93 to gamma = 105 +/- 7 for x almost-equal-to 6.40. Oxygen defici
ency in the CuO chain sites reduces the number of the 2-coordinated, m
onovalent Cu(1) ions, which in turn reduces the hole doping in the wea
kly coupled CuO2 planes and suppresses the superconductivity. Our expe
riment indicates that the interlayer coupling, or the anisotropy, is s
trongly correlated with the oxygen stoichiometry x or the in-plane hol
e concentration p(pl) per CuO2 unit. The YBa2Cu3Ox system changes from
three-dimensional to two-dimensional when p(pl) is reduced from appro
ximately 0.2 to approximately 0.05 with p(pl) almost-equal-to 0.1 as a
crossover regime.