The mark on the base of the bowl is a series of cross-hatched lines that do not form any Chinese (or Japanese) character. This type of mark imitates a Qing Dynasty mark. The mark is not meant to deceive, it is far too crudely drawn to deceive anyone and is merely decorative. Usually, such marks are made by Japanese potters working from Chinese models. The style of painting and the colours also point to Japan rather than China.
In China, this kind of porcelain was produced in great quantities during the late Ming Dynasty and exported throughout SE Asia and to Japan. In Japan, this kind of porcelain is called
akae ("red decoration"), and was produced locally from the late 18th century. If the bowl is Japanese (as I suspect), it almost certainly dates to the early to mid 19th century.
The repairs to the bowl would suggest that it was prized by former owners and treated as a very rare object. This would be true of any piece of porcelain exported from the Far East (Japan in particular) before the opening of Japan to the West in the 1860s.
As AG2012 notes, Asian art forms (such as
akae) were perennially popular over many centuries, and these red wares that were first produced in China over 500 years ago are still being produced in China and Japan today, albeit in modified forms. Indeed, the same can be said for the Baroque taste in Europe and beyond--very few objects with fanciful Baroque designs actually date from the 17th century.
If you would like a second opinion about the mark on the base of the porcelain bowl, please consider posting a query at the Gotheborg site in Sweden:
http://gotheborg.com/Regards
David R