As the nomination race stands today, Barack Obama leads Hillary Clinton by approximately 159 pledged delegates with about 993 pledged delegates (PD) remaining to be allocated in the contests yet to be held.
From that, one can calculate that in order to gain a PD lead, Clinton would need to outperform Obama by 16% (in PD tallies) the rest of the way.
On March 4th, 370 pledged delegates are at stake. That leaves 623 PDs for the contests to be held after March 4th.
If we distribute PDs from each state holding a contest on March 4th in proportion to the current poll standings from that state, Clinton would net 8 more PDs than Obama in the aggregate on that day. However, she'd then need to win 24% of the PDs remaining thereafter, to end up with a lead in the pledged delegate tally. A tall order given that Obama has run a strong campaign thus far and that his polls are trending upwards.
It's a fair expectation that super delegates would not overturn the democratic will of the voters as reflected in pledged delegate tallies. Therefore, unless Hillary Clinton can win March 4th states by a substantial net margin in the range of 15-20%, she would not have a reasonable case (in this author's opinion) for proceeding with the nomination contest beyond that day.
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