What historical periods do the 390 year and 40 year periods refer to in Ezekiel 4:1-8?

In Ezekiel chapter 4 the prophet was instructed to lie on his left side for 390 days, a day for each year of the sin of Israel, and then to lie on his right side for 40 days for the sin of Judah. What historical period is being referred to here? When did the 390 years begin and end? Also for the 40 year period, when did it begin and end?