If your arm has a lever type anti-skate, the force will increase as the arm moves towards the centre if the lever arm with the weight is horizontal when the arm reaches the run out. If your anti-skate is literally a weight on a string, like the old SME, it can also be similarly set to apply an increasing or reducing force depending on the angle it makes with the arm, though this doesn't apply if the string runs round the diameter of the pillar and the radius it is acting at doesn't change.
If you are having problems with anti-skate, check the wiring and make sure it is not counteracting or adding to the anti-skate. You can use headphones and a test record, or a record with loud female operatic vocals, or flute, to check for distortion on one channel more than the other. If it distorts on the right, you need more anti-skate. If the left, less. If it still distorts on the left with no anti-skate, the internal wire is pulling outwards.
Using a greater VTF stops the distortion by nailing the stylus in the groove. It is an effective but brutal way to avoid using anti-skate, but it also increases the skating force because friction is proportional to VTF. It is simply that the VTF is greater than the force trying to make the stylus skate. This is the nature of friction. There is still a gross imbalance in the downforce on each side of the groove. If increasing the force reduced the friction and hence the skating force (as some have ridiculously claimed on Audiogon), our cars, rather than slow down, would go faster as we pressed harder on the brakes ...!
