228
Index
plots and plotting, (continued)
negative exponential, 63, 70, 88
nonlinear, 25, 89
plateau, 69–70, 88–90
random, 167
serpentine, 25
“smooth,” 54
S-shaped, 90–91, 102
straight line, 25, 73, 88–91, 94,
102, 144–5, 169
symmetrical, 28, 62
percent–percent (P–P), 89
play-size-by-rank, 146, 148
pool-size-by-rank (lognormal,
mixed populations, Pareto,
Weibull), 74–9
quantile–quantile (Q–Q), 88–99,
102, 144–5, 173
of Beaverhill Lake data set, 91–3
of gamma, lognormal, Pareto,
Weibull distributions, 91–2,
95–99
and linearity, 89–90
of nonparametric estimation
output, 88, 91, 102
to overcome P–P drawbacks, 89
of worldwide basin data, 91, 94
raw data with approximated
lognormal distributions, 147
point estimates, 34, 37–40, 51, 53, 74,
151
Poisson distribution, 27, 38–9
pool/pools. See also oil and gas
area, 4–5, 9, 16, 22, 31, 41–2, 45, 54,
103–4, 116, 119–24, 135–6, 140,
144, 151
commercial, 20, 34, 49, 51, 105,
144, 170
impact of restricted
defi nition, 144
conditional distribution of,
estimating, 136, 139
defi ned, 5
deposition, assumption of, 16, 31
destroyed by nature, 86–7
discovered, 28, 31–2, 49, 88, 105
gradual decrease in size, 20, 28
large vs. small, 16, 25, 38, 82
discovery probability, 16, 25,
28–32, 38, 87
fi nite population in play, 12,
16–18, 51
generating fi nite number from
superpopulation, 17–18
noncommercial, 20, 34, 60, 85
number of, estimating. See
number-of-pools
rank, 54–6, 58–9, 84, 132, 145–6,
148, 150, 168
assigned, 58, 145
of individual pool sizes, 58–9, 145
matched, 54, 58–9, 145–6, 150
size, 11, 26, 28–31, 38, 41–2, 45–51,
100–102, 104, 143–5
average declining,
estimating, 169
combined as single (fi nite)
population, 100–101
individual, 5, 13, 17, 26, 37–8, 40,
50–51, 53, 91, 145, 151, 171
in-place, 21, 23, 144
large, 16, 25, 38, 49, 82
larger, 26, 73, 102, 136
largest, 22, 28, 45–8, 50–51,
53–4, 56, 72, 74, 88, 102, 137,
151, 168
largest undiscovered, 26, 81–2,
150–51
minimum, 11, 20, 60, 62
prediction interval, range
of, 55–6
small, 20, 53–4, 82, 87–8, 103–4,
144, 167
absence from discovery
sequence, 20, 51, 87–8,
144, 170
included in assessment, 51, 144
rapid increase in number of, 50
total number of, 28, 30, 32–3, 36, 57,
60, 63, 82, 128, 144–5, 164
undiscovered, 4, 8, 14, 17, 28, 49,
121, 136, 145, 161
size range of, 4, 8, 14, 26, 31, 56,
81, 88, 145
over-/underestimation of size, 50
yet-to-be discovered, 4, 53
pool-size distribution, 4–5, 11, 17,
25–8, 31, 33, 36–8, 40, 46–8,
50–57, 60, 74, 85, 88, 91,
100–101, 119, 121–4, 126, 131–2,
136, 145–9, 151, 169–73
of basin, 11, 100, 103
bivariate lognormal, 27, 44–5
computing, 103, 120, 147
Monte Carlo method, 118–20, 147
continuous, 16–8
and covariance, 121–3
displayed by upper percentiles, 52
empirical, 34, 54, 74, 91
identical, 46
Index
plots and plotting, (continued)
negative exponential, 63, 70, 88
nonlinear, 25, 89
plateau, 69–70, 88–90
random, 167
serpentine, 25
“smooth,” 54
S-shaped, 90–91, 102
straight line, 25, 73, 88–91, 94,
102, 144–5, 169
symmetrical, 28, 62
percent–percent (P–P), 89
play-size-by-rank, 146, 148
pool-size-by-rank (lognormal,
mixed populations, Pareto,
Weibull), 74–9
quantile–quantile (Q–Q), 88–99,
102, 144–5, 173
of Beaverhill Lake data set, 91–3
of gamma, lognormal, Pareto,
Weibull distributions, 91–2,
95–99
and linearity, 89–90
of nonparametric estimation
output, 88, 91, 102
to overcome P–P drawbacks, 89
of worldwide basin data, 91, 94
raw data with approximated
lognormal distributions, 147
point estimates, 34, 37–40, 51, 53, 74,
151
Poisson distribution, 27, 38–9
pool/pools. See also oil and gas
area, 4–5, 9, 16, 22, 31, 41–2, 45, 54,
103–4, 116, 119–24, 135–6, 140,
144, 151
commercial, 20, 34, 49, 51, 105,
144, 170
impact of restricted
defi nition, 144
conditional distribution of,
estimating, 136, 139
defi ned, 5
deposition, assumption of, 16, 31
destroyed by nature, 86–7
discovered, 28, 31–2, 49, 88, 105
gradual decrease in size, 20, 28
large vs. small, 16, 25, 38, 82
discovery probability, 16, 25,
28–32, 38, 87
fi nite population in play, 12,
16–18, 51
generating fi nite number from
superpopulation, 17–18
noncommercial, 20, 34, 60, 85
number of, estimating. See
number-of-pools
rank, 54–6, 58–9, 84, 132, 145–6,
148, 150, 168
assigned, 58, 145
of individual pool sizes, 58–9, 145
matched, 54, 58–9, 145–6, 150
size, 11, 26, 28–31, 38, 41–2, 45–51,
100–102, 104, 143–5
average declining,
estimating, 169
combined as single (fi nite)
population, 100–101
individual, 5, 13, 17, 26, 37–8, 40,
50–51, 53, 91, 145, 151, 171
in-place, 21, 23, 144
large, 16, 25, 38, 49, 82
larger, 26, 73, 102, 136
largest, 22, 28, 45–8, 50–51,
53–4, 56, 72, 74, 88, 102, 137,
151, 168
largest undiscovered, 26, 81–2,
150–51
minimum, 11, 20, 60, 62
prediction interval, range
of, 55–6
small, 20, 53–4, 82, 87–8, 103–4,
144, 167
absence from discovery
sequence, 20, 51, 87–8,
144, 170
included in assessment, 51, 144
rapid increase in number of, 50
total number of, 28, 30, 32–3, 36, 57,
60, 63, 82, 128, 144–5, 164
undiscovered, 4, 8, 14, 17, 28, 49,
121, 136, 145, 161
size range of, 4, 8, 14, 26, 31, 56,
81, 88, 145
over-/underestimation of size, 50
yet-to-be discovered, 4, 53
pool-size distribution, 4–5, 11, 17,
25–8, 31, 33, 36–8, 40, 46–8,
50–57, 60, 74, 85, 88, 91,
100–101, 119, 121–4, 126, 131–2,
136, 145–9, 151, 169–73
of basin, 11, 100, 103
bivariate lognormal, 27, 44–5
computing, 103, 120, 147
Monte Carlo method, 118–20, 147
continuous, 16–8
and covariance, 121–3
displayed by upper percentiles, 52
empirical, 34, 54, 74, 91
identical, 46