andrewmc said:
Different ropes will vary, but there will always be a sheath/core compromise. It may be there is actually little variation in static ropes though; I don't know.
Slightly off topic but EN 1891:1998 specifies two constraints on sheath and core mass. The minimum percentage of sheath mass must be greater than 100*(4D-4)/D*D%. That in turn means the maximum core mass is 100 - 100*(4D-4)/D*D% for both Type A and B ropes. Then for Type A ropes the standard specifies the minimum core mass as 100*48/D*D% and for Type B ropes 100*40/D*D%. If you do the maths, you find that you cannot get a Type A rope of a diameter smaller than 8.9mm. Perhaps of more significance is that for a Type B rope, the sheath mass must be between 42% & 45% for 8.5mm diameter and 40% and 51% for 9mm. (I have not looked into the Amercian standards.)
I accept for caving having sufficient sheath to protect against rubbing is important but the indications from some bitter expereinces out there are that sheath rub will work it's way through any sheath remarkably quickly. I fear that extra sheath thickness (and hence extra sheath mass) has minimal impact on the rub resistance of a rope.
I would add that the standard also specifies that the static strength (slow pull) of a Type A rope without terminations (knots) should be at least 22kN as opposed to 18kN for Type B ropes and 15kN for Type A ropes with terminations (be that knots or some other means) and 12kN for Type B ropes. The standard's approach to dynamic strength is not a useful parameter to cite for a fall situation.
My hypothesis is that a kernmantle rope gains its strength for weight per unit length due to the sheath compressing the core and hence allowing the cord within the core to better share the load. I had not looked at sheath v core for dynamic ropes but the values Andrewmc cites appear to reflect that.