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. Author manuscript; available in PMC: 2019 Aug 14.
Published in final edited form as: Am Nat. 2014 Oct 9;184(5):673–683. doi: 10.1086/677929

Table 1:

The six metrics of transient dynamics analyzed and their associated biological meaning.

Index Amplification
index
 Biological meaning Attenuation
index
Biological meaning

One-time step transient Reactivity (Reactivity) The largest possible density (relative to asymptotic dynamics) that may be reached by the population in the first time-step after disturbance First-time step attenuation (Firststepatt) The smallest possible density (relative to asymptotic dynamics) that may be reached by the population in first time-step after disturbance
Kreiss bound Kreiss bounds on amplification (Kmax) The density a population must amplify (relative to asymptotic dynamics) before reaching its maximum overall size Kreiss bounds on attenuation (Kmin) The density a population must attenuate (relative to asymptotic dynamics) before reaching its minimum overall size
Maximum transient index Maximum amplification (Rhomax) The largest density (relative to asymptotic dynamics) that may be reached by the population overall Maximum attenuation (Rhomin) The smallest density (relative to asymptotic dynamics) that may be reached by the population overall