The simple answer, which has no doubt already been offered (sorry, haven’t read through the thread and just posting a drive by while waiting for a flight), is logistics and maneuver. Once the German initial offensive ground to a halt (due to logistics and the lack of any way to rapidly maneuver using just ground troops in the face of interlocking fields of defensive fire), both sides were able to build defenses and logistically support them via rail road, without the knockout ability to get behind the lines and really wreak havoc on the other guys backfield and block those logistics from supporting the defense. So, it turned into a huge slugging match, with both sides attempting to either outflank the other (which was impossible on such a relatively narrow front), or batter the other down (which was equally impossible in the face of those interlocking fields of defensive fire) and make a real breakthrough. Both sides had limited offensive successes, but they simply weren’t able to capitalize on those limited tactical successes by punching through the enemies defenses and getting their maneuver units into the enemies backfield and wreaking havoc. IIRC, both sides had cavalry in reserve waiting for that earth shattering breakthrough that would allow them to pour their cavalry through and into the enemies rear, but they just couldn’t sustain an offensive and breakthrough long enough to unleash those elements. Neither side had the concept of tactical air down yet (the air plane was a relatively new thing, and fighters were used either as scouts or anti-figher forces, or as bombers but not in the sorts of concentrated force used tactically to attack the enemies infrastructure and interdict their front), and neither side had a rapid and protected maneuver force that could be used to punch a hole in the enemies front rapidly and get into the enemies rear, cutting off it’s front line defensive forces and forcing it to retreat under fire. Even when the Brits and French DID develop armor later on they didn’t have the concept of concentrated force down, so used them all along a front (thus losing the advantage of concentration), and they didn’t reenforce the breakthroughs they DID manage by having troops go in with the armor or ready and poised to exploit breakthroughs. There was no real concept of combined arms on either side, and coordination was spotty since communications were also in their infancy.
All of this basically contributed to the stalemate. Tactically, I’d say that both sides were pretty even, though the Germans were, IMHO, slightly superior to everyone except maybe the better British forces (most of who were thrown away fairly early on) on the small unit level, at least until their own elite troops were wasted in offensives that went no where. Even so, the Germans were pretty close to victory several times, and the allies were just holding on by their fingernails in a lot of cases…it came down to logistics in the end, as it usually does, with Germany simply running out of everything first and economically collapsing at home, even if their troops were still holding their own in the field.
This is my very History Channel take on things anyway. I took a lot of history classes in college (as electives…wish I had majored in history in retrospect, as I really like the subject), but not a lot on WWI, which I always found a really depressing subject.
-XT