Analysis of complex multidimensional optical spectra by linear prediction.

We apply Linear Prediction from Singular Value Decomposition (LPSVD) to two-dimensional complex optical data in the time-domain to generate spectra with advantages over discrete Fourier transformation (DFT). LPSVD is a non-iterative procedure that fits time-domain complex data to the sum of damped sinusoids, or Lorentzian peaks in the spectral domain. Because the fitting is linear, it is not necessary to give initial guess parameters as in nonlinear fits. Although LPSVD is a one-dimensional algorithm, it can be performed column-wise on two-dimensional data. The method has been extensively used in 2D NMR spectroscopy, where spectral peaks are typically nearly ideal Lorentzians, but to our knowledge has not been applied in the analogous optical technique, where peaks can be far from Lorentzian. We apply LPSVD to the analysis of zero, one, and two quantum electronic two-dimensional spectra from a semiconductor microcavity. The spectra consist of non-ideal, often overlapping peaks. We find that LPSVD achieves a very good fit even on non-ideal data. It reduces noise and eliminates discrete distortions inherent in the DFT. We also use it to isolate and analyze weak features of interest.

Substrate water potential constraints on germination of the strangler fig Ficus aurea (Moraceae).

Palms are the most common support hosts for strangler fig (Ficus aurea) in the tropical dry forest. At Hummingbird Cay Tropical Field Station in the Bahamas, viable F. aurea seeds scattered on open soil germinate within 6 d in the laboratory at 27C in light or darkness. To test the hypothesis that water relations between seed and substrate can restrict the site of F. aurea establishment, fig seeds were imbibed in mannitol solutions with water potential (psi) from 0 MPa to -2.0 MPa. At psi > -1.0 MPa, germination ranges from 70 to 90%. Below -1.0 MPa, germination drops under 4%. Seedling growth rate slows linearly with decreasing psi, due to reduced cell enlargement in the radicle. Sensitivity of F. aurea seeds to psi stress is similar to that of mesophytic crops with "threshold'' psi of -1.2 to -1.5 MPa, below which germination and/or seedling growth stops. F. aurea shows no evidence of xerophytic adaptation in germination physiology. In the field, psi of humus in palm leaf bases does not drop below -1.0 to -1.1 MPa, while humus in terrestrial sites reaches psi F. aurea germination and seedling growth is met by humus in palm leaf bases, not by terrestrial sites. In dry forests, this restricts F. aurea establishment to the crown of palm trees.