Knowledge (XXG)

Bred vector

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in time, and periodically the control solution is subtracted from the perturbed solution. This difference is the bred vector. The vector is scaled to be the same size as the initial perturbation and is then added back to the control to create the new perturbed initial condition. After a short
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transient period, this "breeding" process creates bred vectors dominated by the naturally fastest-growing instabilities of the evolving control solution.
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Toth, Zoltan; Kalnay, Eugenia (December 1993). "Ensemble Forecasting at NMC: The Generation of Perturbations".
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Bred vectors are created by adding initially random perturbations to a
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model. The control (unperturbed) and the perturbed models are
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10.1175/1520-0477(1993)074<2317:EFANTG>2.0.CO;2
52:. They are used, for example, as initial perturbations for 142:
Atmospheric Modeling, Data Assimilation and Predictability
249: 192: 100:Bulletin of the American Meteorological Society 269: 212: 8: 276: 262: 219: 205: 60:. They were introduced by Zoltan Toth and 144:. Cambridge: Cambridge University Press. 20:The growth rates of bred vectors in the 15: 90: 44:, that capture fast-growing dynamical 7: 230: 228: 173: 171: 248:. You can help Knowledge (XXG) by 191:. You can help Knowledge (XXG) by 14: 232: 175: 1: 159:Glickman, T. S., ed. (2000). 58:numerical weather prediction 310:Mathematical analysis stubs 326: 305:Mathematical physics stubs 227: 170: 161:Glossary of Meteorology 244:–related article is a 187:-related article is a 25: 242:mathematical analysis 48:of the solution of a 19: 300:Mathematical physics 185:mathematical physics 54:ensemble forecasting 295:Functional analysis 140:Kalnay, E. (2003). 112:1993BAMS...74.2317T 30:applied mathematics 26: 257: 256: 200: 199: 151:978-0-521-79629-3 106:(12): 2317–2330. 317: 278: 271: 264: 236: 229: 221: 214: 207: 179: 172: 164: 155: 132: 131: 95: 42:Lyapunov vectors 325: 324: 320: 319: 318: 316: 315: 314: 285: 284: 283: 282: 226: 225: 168: 158: 152: 139: 136: 135: 97: 96: 92: 87: 70: 50:numerical model 12: 11: 5: 323: 321: 313: 312: 307: 302: 297: 287: 286: 281: 280: 273: 266: 258: 255: 254: 237: 224: 223: 216: 209: 201: 198: 197: 180: 166: 165: 156: 150: 134: 133: 89: 88: 86: 83: 69: 66: 62:Eugenia Kalnay 13: 10: 9: 6: 4: 3: 2: 322: 311: 308: 306: 303: 301: 298: 296: 293: 292: 290: 279: 274: 272: 267: 265: 260: 259: 253: 251: 247: 243: 238: 235: 231: 222: 217: 215: 210: 208: 203: 202: 196: 194: 190: 186: 181: 178: 174: 169: 162: 157: 153: 147: 143: 138: 137: 129: 125: 121: 117: 113: 109: 105: 101: 94: 91: 84: 82: 79: 75: 67: 65: 63: 59: 55: 51: 47: 46:instabilities 43: 39: 38:perturbations 35: 31: 23: 22:Lorenz system 18: 250:expanding it 239: 193:expanding it 182: 167: 160: 141: 103: 99: 93: 71: 34:bred vectors 33: 27: 40:related to 289:Categories 85:References 78:integrated 128:121674874 74:nonlinear 108:Bibcode 148:  126:  68:Method 240:This 183:This 124:S2CID 246:stub 189:stub 146:ISBN 36:are 116:doi 56:in 28:In 291:: 122:. 114:. 104:74 102:. 64:. 32:, 277:e 270:t 263:v 252:. 220:e 213:t 206:v 195:. 154:. 130:. 118:: 110::

Index


Lorenz system
applied mathematics
perturbations
Lyapunov vectors
instabilities
numerical model
ensemble forecasting
numerical weather prediction
Eugenia Kalnay
nonlinear
integrated
Bibcode
1993BAMS...74.2317T
doi
10.1175/1520-0477(1993)074<2317:EFANTG>2.0.CO;2
S2CID
121674874
ISBN
978-0-521-79629-3
Stub icon
mathematical physics
stub
expanding it
v
t
e
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mathematical analysis
stub

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