  A novel radially local approximation of the drift kinetic equation is
presented. The new drift kinetic equation that includes both ${\bf E} \times
{\bf B}$ and tangential magnetic drift terms is written in the conservative
form and it has favorable properties for numerical simulation that any
additional terms for particle and energy sources are unnecessary for obtaining
stationary solutions under the radially local approximation. These solutions
satisfy the intrinsic ambipolarity condition for neoclassical particle fluxes
in the presence of quasisymmetry of the magnetic field strength. Also, another
radially local drift kinetic equation is presented, from which the positive
definiteness of entropy production due to neoclassical transport and Onsager
symmetry of neoclassical transport coefficients are derived while it sacrifices
the ambipolarity condition for neoclassical particle fluxes in axisymmetric and
quasi-symmetric systems.
