Most international English language journals prefer the use of the first person in scientific writing. Thus, it is always preferable to use "I" or "we" rather than the third person i.e. "the author." Most style guides such as the APA style guide or the Chicago manual recommend the use of the first person. Using the third person is not incorrect, but has become outdated as it often leads to confusion and impedes clear understanding.
What is the best way to refer to myself in the manuscript: 'I' or 'the author'? Can I say 'The author thinks that..." Is this correct?