> without synthetic miticides 

Not to put too fine a point on it, but where do you think chemicals like formic acid, oxalic acid, etc, come from? Plants? Ants?

These substances occur naturally but not at industrial strength.  For example:

> Menthol is a commercially important natural product found in peppermint oil and is also widely used in perfumery, flavoring and confectionery as well as in medicine. Racemic menthol produced by synthetic methods can be resolved by known procedures to produce 1-menthol which is identical to the natural menthol. 

> Menthenes, such as 3-p-menthene, and 2-p-menfhene, can be readily produced from p-menthadienes by hydrogenation with a nickel catalyst and hydrogen at relatively low pressures and temperatures. In this way a mixture of menthenes consisting essentially of 3-p-menthene is produced economically from readily available materials.

from:

PRODUCTION OF MENTHOL Patent number: 3078316 Issue date: Feb 19, 1963

See also:

SYNTHETIC MANUFACTURE OF THYMOL Patent number: 1306512 Issue date: Jun 10, 1919

MANUFACTURE OF OXALIC ACID Patent number: 1948441 Issue date: Feb 20, 1934

MANUFACTURE OF FORMIC ACID Patent number: 2160064 Issue date: May 30, 1939

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