I'll just throw out a few more references worth reading. All of these are made available by the Uhdersea and Hyperbaric Medical Society (UHMS) can be downloaded from the Rubicon Research Repository (RRR). http://archive.rubicon-foundation.org/ A search for "altitude" will yield 74 hits. Most seem to be abstracts or just related to altitude decompression sickness.
Diving at altitude: a review of decompression strategies.
Egi and Brubakk
Undersea and Hyperbaric Medicine, 1995
PubMed ID# 7580768, RRR ID# 2194
Abstract: Diving at altitude requires different tables from those at sea level due to the reduction in surface ambient pressure. Several algorithms extrapolating sea-level diving experimental data have been proposed to construct altitude diving tables. The rationale for these algorithms is reviewed together with the conservatism of the resulting tables and decompression computer outputs. All algorithms are based on the adaptation of critical tissue tensions to altitude. These are linear extrapolation (LEM), constant ratio translation (CRT), and constant ratio extrapolation (CRE) of maximum permissible tissue tensions (M values). Either new tables using the altitude-adapted M values were put forward or sea-level tables are to be used through an operation called correction. In this review it is shown that for a given set of M values, CRT and CRE give the same result for no-decompression-stop dives; they always yield more conservative results than LEM. When decompression stops are used, CRT is more conservative than CRE. When applied to different sets of M values, the conservatism becomes a function of bottom time, depth, and altitude. The analysis shows that the tables derived using CRT of U.S. Navy (USN) schedules and CRE Boni et al. tables give more conservative results than LEM Buhlmann tables for higher altitude, longer bottom time, and deeper dives. Aviation altitude exposure decompression sickness (DCS) data are also addressed to compare different model outputs. When applied to USN and Royal Navy tables, LEM yields an altitude DCS limit of 8,581 and 8,977 m, respectively. On the other hand, the altitude limit calculated using CRE applied to USN M values and LEM Buhlmann tables is found to be below 6,000 m.
The theory of high-altitide corrections to the U.S. Navy standard decompression tables. The cross corrections.
Bell and Borgwardt
Undersea Biomedical Research, 1976
PubMed ID# 1273981, RRR ID# 2748
Abstract: The theoretical basis for the Cross high-altitude corrections to the USN Standard Decompression Tables is derived. Providing corrections are made for depth and ascent rate and if no decompression stops are made, a dive at altitude can be transformed to a dive at sea level for which the theoretical tissue responses are mathematically similar to the altitude dive. The transformation fails if decompression stops are required due to the fact that the stop criteria used in the USN Tables do not obey the same rule of transformation. It is shown that the failure of the high-altitude correction is expected to be conservative.
Automatic compensation by capillary gauge for altitude decompression
Mackay
Undersea Biomedical Research, 1976
PubMed ID# 10897866, RRR ID# 2440
Abstract: According to simple theory, the indications of a capillary depth gauge are such that ascent rate and decompression-stop position are correct to give unaltered gammas (tissue overpressures) and a safe dive profile--independent of the density of the medium or of surface altitude--if position indications are used directly in a standard decompression table. The usual dial depth gauges must be doubly corrected for altitude but not medium before tables can be used, while distance-measuring systems should be corrected for both altitude and medium. The capillary-gauge dive profile is theoretically conservative when timed step decompression rather than continuous ascent is used if gamma increases with altitude.
Diving at diminished atmospheric pressure: air decompression tables for different altitudes
Boni, Schibli, Nussberger, and Buhlmann
Undersea Biomedical Research, 1976
PubMed ID# 969023, RRR ID# 2750
Abstract: Fifty subjects performed 106 simulated dives at a final ambient pressure of 0.7 at (3000 m above sea level). One hundred and forty-three subjects performed 278 actual controlled dives at altitudes 900-1700 m above sea level. From the experience of these dives, air-decompression tables for altitudes 0-3200 m above sea level were calculated. Tables up to 2000 m above sea level were tested on humans under wet conditions.
Diving at altitude: a review of decompression strategies.
Egi and Brubakk
Undersea and Hyperbaric Medicine, 1995
PubMed ID# 7580768, RRR ID# 2194
Abstract: Diving at altitude requires different tables from those at sea level due to the reduction in surface ambient pressure. Several algorithms extrapolating sea-level diving experimental data have been proposed to construct altitude diving tables. The rationale for these algorithms is reviewed together with the conservatism of the resulting tables and decompression computer outputs. All algorithms are based on the adaptation of critical tissue tensions to altitude. These are linear extrapolation (LEM), constant ratio translation (CRT), and constant ratio extrapolation (CRE) of maximum permissible tissue tensions (M values). Either new tables using the altitude-adapted M values were put forward or sea-level tables are to be used through an operation called correction. In this review it is shown that for a given set of M values, CRT and CRE give the same result for no-decompression-stop dives; they always yield more conservative results than LEM. When decompression stops are used, CRT is more conservative than CRE. When applied to different sets of M values, the conservatism becomes a function of bottom time, depth, and altitude. The analysis shows that the tables derived using CRT of U.S. Navy (USN) schedules and CRE Boni et al. tables give more conservative results than LEM Buhlmann tables for higher altitude, longer bottom time, and deeper dives. Aviation altitude exposure decompression sickness (DCS) data are also addressed to compare different model outputs. When applied to USN and Royal Navy tables, LEM yields an altitude DCS limit of 8,581 and 8,977 m, respectively. On the other hand, the altitude limit calculated using CRE applied to USN M values and LEM Buhlmann tables is found to be below 6,000 m.
The theory of high-altitide corrections to the U.S. Navy standard decompression tables. The cross corrections.
Bell and Borgwardt
Undersea Biomedical Research, 1976
PubMed ID# 1273981, RRR ID# 2748
Abstract: The theoretical basis for the Cross high-altitude corrections to the USN Standard Decompression Tables is derived. Providing corrections are made for depth and ascent rate and if no decompression stops are made, a dive at altitude can be transformed to a dive at sea level for which the theoretical tissue responses are mathematically similar to the altitude dive. The transformation fails if decompression stops are required due to the fact that the stop criteria used in the USN Tables do not obey the same rule of transformation. It is shown that the failure of the high-altitude correction is expected to be conservative.
Automatic compensation by capillary gauge for altitude decompression
Mackay
Undersea Biomedical Research, 1976
PubMed ID# 10897866, RRR ID# 2440
Abstract: According to simple theory, the indications of a capillary depth gauge are such that ascent rate and decompression-stop position are correct to give unaltered gammas (tissue overpressures) and a safe dive profile--independent of the density of the medium or of surface altitude--if position indications are used directly in a standard decompression table. The usual dial depth gauges must be doubly corrected for altitude but not medium before tables can be used, while distance-measuring systems should be corrected for both altitude and medium. The capillary-gauge dive profile is theoretically conservative when timed step decompression rather than continuous ascent is used if gamma increases with altitude.
Diving at diminished atmospheric pressure: air decompression tables for different altitudes
Boni, Schibli, Nussberger, and Buhlmann
Undersea Biomedical Research, 1976
PubMed ID# 969023, RRR ID# 2750
Abstract: Fifty subjects performed 106 simulated dives at a final ambient pressure of 0.7 at (3000 m above sea level). One hundred and forty-three subjects performed 278 actual controlled dives at altitudes 900-1700 m above sea level. From the experience of these dives, air-decompression tables for altitudes 0-3200 m above sea level were calculated. Tables up to 2000 m above sea level were tested on humans under wet conditions.