Here's from the rule book.
107c. Substitutes and/or Replacements
A substitute is a bowler who replaces another who is scheduled to participate in a USBC league, or bowls for a
team with an incomplete roster.
The following shall apply to substitutes and/or replacements:
1. Scores bowled by a substitute shall count for the games bowled.
Chapter 4: League Rules 51
2. A substitute must be a member of USBC, a state association and a local association, where required.
3. A substitute may bowl with any team in the league, but may not compete on more than one team in
the same league for any regularly scheduled games each week, unless otherwise provided by league
rule. (See Rule 107a.)
4. The average of a substitute shall be kept. Should a substitute later be added to a team’s roster, his/
her average shall be continued.
5. Scores bowled through the efforts of more than one individual player shall not qualify for league or
USBC individual awards. (See Rule 118a for average information.)
6. In mixed leagues, a substitute or replacement may be of either gender, unless otherwise provided by
league rules.
7. A player removed from a game cannot return to bowl in the same game.
8. Substitutes are not entitled to attend league meetings.
9. A team must be allowed to add a replacement when its roster is less than the playing strength of
the league.
10. Unless otherwise provided by league rules:
a. Substitutes are not required to pay league fees.
b. A captain may replace any player at any time during a game with another eligible player.
c. When substitutes are made during a game, the score counts only for team score.
d. A team using a substitute is eligible for all high team prizes.