Outlined in a solid, thin black line is an approximation of the provinces seized by Minamoto no Yoritomo, which includes Izu, where he grew up in exile.
"'Word has it that Yoritomo has raised rebellion and subjugated the eight provinces of the Kanto [...]'" - Kiso no Yoshinaka, page 322.
Outlined in a thicker, dashed black line and shaded slightly in gray is an approximation of the provinces seized by Kiso no Yoshinaka (a Minamoto and cousin of Yoritomo), which includes Shinano, where he grew up.
"'Well, I have a mind to seize the Tosen and Hokuroku provinces, destory the Heike just before he does, and get myself known as one of Japan's two great commanders.'" - Kiso no Yoshinaka, page 322
"In Kozuke the fighting men of Tago county, glad to honor their old bond with Yoshikata [father of Yoshinaka] rallied, every one, to the call." - page 323
In the first image below, in red are the provinces that originally held allegiance to the Taira, and in the second image below outlined in a solid, thicker black line are the ones that then switched to be allies with the Minamoto.
"On the ninth came the news that Musashi Gon-no-kami Yoshimoto, of Ishikawa county in Kawachi province, with his son Yoshikane, had turned against the Heike and reached an understanding with Yoritomo[...]" - page 323
"On the twelfth a courier arrived from Kyushu: [...] Ogata no Saburo and everyone else in Kyushu, even to the Usuki, the Bestugi, and the Matsura leagues, had turned against the Heike and were now Genji allies." - page 324
"On the sixteenth, from Iyo province, another courier brought further news. The winter before, Kawano no Shiro Michikiyo and every man in Shikoku had spurned the Heike to make common cause with the Genji [...]" - page 324
"[...] whereupon the Nuka novice, Saijaku of Bingo, a dedicated Heike ally, charged over into Iyo and killed Michikiyo [...] - page 324.