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simulation_id
int64
radius
float64
gravity
float64
rotation_period
float64
surface_pressure
float64
co2
float64
ch4
float64
stellar_flux
float64
stellar_temperature
float64
gcm_label
string
is_target_gcm
bool
in_target_physical_domain
bool
planet_id
int64
source
string
0
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6,550,000
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0.000054
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7,440,000
14
11.1
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0.00828
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this work
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6,580,000
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206,000
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0
964
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this work
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6,520,000
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this work
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7,340,000
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0.000017
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this work
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7,650,000
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true
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this work
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6,630,000
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336,000
0.000418
0
884
3,200
exocam
true
true
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this work
8
6,720,000
9.03
50.7
105,000
0
0
881
3,690
exocam
true
true
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this work
9
6,450,000
7.61
93.6
191,000
0.00126
0
1,050
4,220
exocam
true
true
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this work
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6,160,000
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251,000
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true
true
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this work
11
6,910,000
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0
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true
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this work
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5,930,000
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410,000
0
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true
true
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this work
13
7,620,000
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2,930
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true
true
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this work
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7,310,000
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0
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this work
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this work
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this work
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6,890,000
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1,310
2,690
exocam
true
true
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this work
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6,440,000
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1,340
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this work
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6,250,000
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this work
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this work
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6,590,000
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this work
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6,140,000
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this work
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6,360,000
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this work
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this work
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7,008,100
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911.87
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exocam
true
true
25
Hammond et al. [2025]
26
7,008,100
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100,010
0.0001
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911.87
3,024
exocam
true
true
26
Hammond et al. [2025]
27
7,008,100
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1
0
911.87
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exocam
true
true
27
Hammond et al. [2025]
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7,836,330
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exocam
true
true
28
Hammond et al. [2025]
29
7,836,330
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100,010
0.0001
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true
true
29
Hammond et al. [2025]
30
7,836,330
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200,000
1
0
816.6
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exocam
true
true
30
Hammond et al. [2025]
31
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exocam
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31
Hammond et al. [2025]
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8,709,157
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true
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Hammond et al. [2025]
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8,709,157
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0
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true
true
33
Hammond et al. [2025]
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7,008,100
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110,000
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Hammond et al. [2025]
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7,008,100
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true
35
Hammond et al. [2025]
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7,008,100
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200,000
1
0
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exocam
true
true
36
Hammond et al. [2025]
37
5,861,320
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110,000
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true
true
37
Hammond et al. [2025]
38
5,861,320
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exocam
true
true
38
Hammond et al. [2025]
39
5,861,320
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true
39
Hammond et al. [2025]
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true
true
40
Hammond et al. [2025]
41
6,689,550
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0.0001
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503.57
2,904
exocam
true
true
41
Hammond et al. [2025]
42
6,689,550
9.86
11.41
200,000
1
0
503.57
2,904
exocam
true
true
42
Hammond et al. [2025]
43
6,880,680
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exocam
true
true
43
Hammond et al. [2025]
44
6,880,680
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0.0001
0
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3,158
exocam
true
true
44
Hammond et al. [2025]
45
6,880,680
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1
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887.372
3,158
exocam
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true
45
Hammond et al. [2025]
46
6,371,000
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0
740.384
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exocam-pre2022
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46
Komacek and Abbot [2019]
47
6,371,000
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Komacek and Abbot [2019]
48
6,371,000
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Komacek and Abbot [2019]
49
6,371,000
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exocam-pre2022
false
true
49
Komacek and Abbot [2019]
50
6,371,000
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50
Komacek and Abbot [2019]
51
6,371,000
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exocam-pre2022
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51
Komacek and Abbot [2019]
52
6,371,000
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0
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52
Komacek and Abbot [2019]
53
6,371,000
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53
Komacek and Abbot [2019]
54
6,371,000
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54
Komacek and Abbot [2019]
55
6,371,000
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Komacek and Abbot [2019]
56
6,371,000
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exocam-pre2022
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56
Komacek and Abbot [2019]
57
6,371,000
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57
Komacek and Abbot [2019]
58
6,371,000
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58
Komacek and Abbot [2019]
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6,371,000
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59
Komacek and Abbot [2019]
60
6,371,000
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100,000
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Komacek and Abbot [2019]
61
6,371,000
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Komacek and Abbot [2019]
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Komacek and Abbot [2019]
63
6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
68
6,371,000
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true
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
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6,371,000
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true
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Komacek and Abbot [2019]
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6,371,000
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25,000
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false
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Komacek and Abbot [2019]
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6,371,000
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50,000
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Komacek and Abbot [2019]
73
6,371,000
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200,000
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Komacek and Abbot [2019]
74
6,371,000
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400,000
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exocam-pre2022
false
true
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Komacek and Abbot [2019]
75
3,185,500
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1
100,000
0
0
1,361
2,600
exocam-pre2022
false
false
75
Komacek and Abbot [2019]
76
4,504,297
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1
100,000
0
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1,361
2,600
exocam-pre2022
false
true
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Komacek and Abbot [2019]
77
9,008,594
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100,000
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1,361
2,600
exocam-pre2022
false
false
77
Komacek and Abbot [2019]
78
12,742,000
9.807
1
100,000
0
0
1,361
2,600
exocam-pre2022
false
false
78
Komacek and Abbot [2019]
79
6,371,000
9.807
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100,000
0
0
740.384
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exocam-pre2022
false
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79
Komacek and Abbot [2019]
80
6,371,000
9.807
30.7
100,000
0
0
907.787
3,300
exocam-pre2022
false
true
80
Komacek and Abbot [2019]
81
6,371,000
9.807
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100,000
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1,110.576
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exocam-pre2022
false
true
81
Komacek and Abbot [2019]
82
6,371,000
9.807
22.66
100,000
0
0
1,361
3,300
exocam-pre2022
false
true
82
Komacek and Abbot [2019]
83
6,371,000
9.807
1
100,000
0
0
740.384
4,000
exocam-pre2022
false
true
83
Komacek and Abbot [2019]
84
6,371,000
9.807
117.4
100,000
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740.384
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exocam-pre2022
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Komacek and Abbot [2019]
85
6,371,000
9.807
1
100,000
0
0
907.787
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exocam-pre2022
false
true
85
Komacek and Abbot [2019]
86
6,371,000
9.807
100.7
100,000
0
0
907.787
4,000
exocam-pre2022
false
true
86
Komacek and Abbot [2019]
87
6,371,000
9.807
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100,000
0
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1,110.576
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exocam-pre2022
false
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87
Komacek and Abbot [2019]
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6,371,000
9.807
86.6
100,000
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1,110.576
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exocam-pre2022
false
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88
Komacek and Abbot [2019]
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6,371,000
9.807
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100,000
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1,667.225
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false
89
Komacek and Abbot [2019]
90
6,371,000
4.9035
1
100,000
0
0
1,361
4,000
exocam-pre2022
false
false
90
Komacek and Abbot [2019]
91
6,371,000
6.933549
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100,000
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0
1,361
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exocam-pre2022
false
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Komacek and Abbot [2019]
92
6,371,000
13.867098
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exocam-pre2022
false
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Komacek and Abbot [2019]
93
6,371,000
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100,000
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exocam-pre2022
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93
Komacek and Abbot [2019]
94
6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
96
6,371,000
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Komacek and Abbot [2019]
97
6,371,000
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Komacek and Abbot [2019]
98
6,371,000
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Komacek and Abbot [2019]
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6,371,000
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Komacek and Abbot [2019]
End of preview.

ThousandWorlds

ThousandWorlds mascot

ThousandWorlds is a benchmark for emulating exoplanet climates: 1760 simulations across 5 GCMs, 8 planet parameters, and atmospheric variables on a 32 x 64 x 10 latitude-longitude-pressure grid. It includes three nested benchmark subsets, two evaluation protocols, and eight released baseline methods.

Code arXiv

Inputs are 8 continuous planet parameters plus the source GCM label. Outputs are time-averaged climate fields on a 32 x 64 latitude-longitude grid: three-dimensional variables are stored as pressure-level channels, and two-dimensional variables are stored as single-level fields.

Want to look around before downloading anything? Try the ThousandWorlds Explorer! Built by Hamza Ali Shahjahan!

ThousandWorlds dataset schematic

Quickstart

The easiest way to use the benchmark is through the Python code:

git clone https://github.com/edstevenson/ThousandWorlds.git
cd ThousandWorlds
pip install -e .
import thousandworlds as tw

tw.download_dataset()
bundle = tw.load("single-complete", data_dir="dataset")

See the GitHub repository for the full quickstart, notebooks, baseline code, evaluation utilities, and reproducing paper results.

Files

The release includes:

  • archives/dataset.tar.gz: the ThousandWorlds dataset.
  • archives/results-baselines-*.tar.gz: baseline predictions for the 3 subsets.
  • croissant.json: Croissant metadata.
  • archives/*.sha256: checksum sidecars.

Dataset Contents

The dataset contains gridded fields (NumPy), input metadata (CSV), predefined train/test splits, normalization statistics, and spherical harmonic coefficients plus inverse-SHT weights for spectral methods.

Subsets

The dataset is organized into three subsets of increasing complexity and realism:

Subset Simulations Fields Description
single-complete 256 48 Smaller subset; simulations from a single GCM, complete observations only.
multi-complete 1659 48 All 5 GCMs, still with no missing fields.
multi-partial 1760 53 Full dataset; all 5 GCMs, with missing fields represented as NaNs.

The subset split files contain:

File single-complete multi-complete multi-partial
train.csv 206 1538 1626
test.csv 50 90 100
test_shared_planets_only.csv - 58 60
held_out_aux.csv - 31 34

held_out_aux.csv is excluded from train and test to prevent train-test leakage (it contains simulations from auxiliary GCMs that correspond to identical planets present in the test set).

Inputs

Each simulation has one row in dataset/inputs.csv, keyed by simulation_id. The public model inputs are stellar temperature, stellar flux, radius, gravity, rotation period, surface pressure, CO2, CH4, and gcm_label. The metadata also includes is_target_gcm, in_target_physical_domain, planet_id, and source.

Parameter Range
Radius (Earth radii) [0.7, 1.4]
Surface gravity (m s^-2) [6.0, 16.0]
Rotation period (days) [0.1, 1000.0]
Surface pressure (bar) [0.5, 5]
CO2 volume fraction (%) [0, 100]
CH4 volume fraction (%) [0, 5]
Incident stellar flux (W m^-2) [500, 1500]
Stellar temperature (K) [2500, 5800]

Outputs

Target fields include surface temperature, 3D temperature, specific humidity, cloud fraction, east-west wind, north-south wind, absorbed shortwave radiation, and outgoing longwave radiation. Gridded targets are provided on a 32 x 64 latitude-longitude grid, with vertical fields stored on relative pressure levels.

Variable Dimensionality Unit
Surface temperature 2D K
Temperature 3D K
Specific humidity 3D dex
Cloud fraction 3D 1
East-west wind 3D m s^-1
North-south wind 3D m s^-1
Absorbed shortwave radiation 2D W m^-2
Outgoing longwave radiation 2D W m^-2

The gridded field archives are:

File Shape Contents
dataset/fields/all-obs.npz (1760, 53, 32, 64) Field archive covering all 5 GCMs with structured whole-field missingness.
dataset/fields/complete-obs-only.npz (1659, 48, 32, 64) Complete-observation field archive.

Spectral Coefficients: The spectral coefficient archives mirror those field archives with T21 spherical harmonic coefficients: dataset/coefficients/*.npz stores coefficients with 484 coefficients per field and a field_mask for missing fields. Whole-field missingness is represented as all-NaN gridded channels and as false entries in the spectral field_mask.

Evaluation

The package includes loaders and metrics for two benchmark protocols:

  • Standard: the main test protocol, ideal for ML model comparison.
  • Shared-planets: evaluate on planets shared across target and auxiliary GCMs; used to assess performance relative to inter-GCM error, i.e. how close a model gets to the epistemic uncertainty floor of the problem.

Released baselines include train mean, kNN, PCA ridge, PCA-MLP, Coord-MLP, Coord-DeepONet, PPCA-ICM, and GPLFR. Baseline artifacts include predictions, resolved configs, and metrics JSON files.

Links

Citation

If you use ThousandWorlds, please cite the paper:

@article{thousandworlds2026,
  title = {ThousandWorlds: A benchmark for climate emulation of potentially habitable exoplanets},
  author = {Stevenson, Edward T. and Mak, Mei Ting and Wolf, Eric and Sergeev, Denis E. and Hammond, Tobi and Mayne, N. J. and Cranmer, Miles},
  year = {2026},
  eprint = {2606.18338},
  archivePrefix = {arXiv},
  doi = {10.48550/arXiv.2606.18338}
}
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