Figure 8.9 summarizes the ancillary benefits per tonne 
  of carbon from 15 studies, along with available confidence intervals around 
  the mid estimate. Multiple entries for a study on the Figure result from modelling 
  of multiple policy scenarios. Most of the studies focus solely on public health 
  impacts.
  From Figure 8.9, it can be observed that:
  - midpoint estimates are mostly less than US$100/tC, but range from less than 
    US$2 up to almost US$500/tC;
 
- US estimates are the lowest while estimates from one study for Chile and 
    several for Norway are the highest (the latter includes a broader range of 
    benefits);
 
- significant divergence in estimates occurs across studies for the same country; 
    and
 
- uncertainty bounds are quite large for most of the studies that report them.
Figure 8.10 provides ancillary benefits per tonne estimates 
  related to the size of the carbon tax (in 1996 US$/tC). Points on the diagonal 
  line AB = MC indicate that marginal private mitigationcosts (MC) equate to the 
  tax. Some points fall on this line; more appear above it than below, with the 
  Norwegian/Western Europe and the US studies split. If the damage (benefit) function 
  is linear, then average benefits equate marginal benefits. Thus, points on the 
  diagonal imply that the carbon tax is quasi-optimal (Dessus and 
  OConnor, 1999), in that the tax is optimal without considering either 
  the direct climate mitigation benefits or any social costs over private costs 
  (such as deadweight losses from the tax interaction effect). Alternatively, 
  it can be assumed that the private mitigation cost function is quadratic (Total 
  Cost=b(X2)), where X is carbon reduction. 
In this case, the tax rate equals marginal private mitigation 
  cost and average private mitigation cost is half marginal private mitigation 
  cost. The heavy diagonal line equates ancillary benefits to average private 
  mitigation cost. Points above this line imply there are net benefits to carbon 
  policy, with the same important caveats as above. More points appear above the 
  corresponding line (AB=AC) on the graph than above the AB=MC line.
In the general case, a larger carbon tax should lead to progressively smaller 
  carbon reductions (if the marginal abatement cost curve is upward sloping). 
  For all but one study (Abt Associates and Pechan-Avanti Group, 1999), the ratio 
  of ancillary benefits to the tax rate does fall. As for the change in ancillary 
  benefits per tonne of carbon, Burtraw et al. (1999) show this ratio falling 
  dramatically in percentage terms with higher carbon taxes. In contrast, Dessus 
  and OConnor (1999) show it rising slightly, and in the Abt study the ratio 
  of benefits to the tax rate rises dramatically (Abt Associates and Pechan-Avanti 
  Group, 1999). This last result reflects that this analysis treated the SO2 
  cap as non-binding considerably below the higher tax-rate modelled. In addition, 
  this study treated the National Ambient Air Quality Standards as a cap, with 
  abatement below these caps treated as benefits, but reductions above 
  these caps treated as saving abatement costs.