It's way too early to answer that question, especially since we don't know his prior record. He is very lucky nobody was hurt, an injury would have guaranteed him jail time. I have paraphrased the relevant California Penal Code statutes:
California Penal Code section 148
(a)(1) Every person who willfully resists, delays, or obstructs [any officer] in the discharge or attempt to discharge any duty of his or her office or employment, when no other punishment is prescribed, shall be punished by a fine not exceeding one thousand dollars ($1,000), or by imprisonment in a county jail not to exceed one year, or by both that fine and imprisonment.
You are only guaranteed jail time if you brandish a weapon in response to police pursuit. Thankfully Jackson was not dumb enough to do that.
Jackson's hit and run, by the way, is not a felony if all the facts we are hearing are true. A hit and run in California is only a felony if there is an injury, and all reports suggest no injuries:
California Penal Code section 20002
A) The driver of any vehicle involved in an accident resulting only in damage to property, including vehicles, shall immediately stop at the nearest location that will not impede traffic or otherwise jeopardize the safety of other motorists...
C) Any person failing to comply with all the requirements of this section is guilty of a misdemeanor and, upon conviction thereof, shall be punished by imprisonment in the county jail not exceeding 6 months, or by a fine not exceeding $1,000, or by both that imprisonment and fine.
And finally, the reckless driving.
California Vehicle Code section 23103
c) Persons convicted of the offense of reckless driving shall be punished by imprisonment in a county jail for not less than five days nor more than ninety days or by a fine of not less than one hundred forty-five dollars nor more than one thousand dollars, or by both that fine and imprisonment. I
It is very possible he could do a small amount of jail time, but he is not facing a big sentence. Most people with these three offenses probably would not get jail time, but the facts as we know them are so damning that a judge may want to make a small example of him for driving all over the road like a madman.
Assuming no priors, I'm guessing he gets fined and does a couple days in jail for the reckless driving. But it's just a guess.