ON LOWNER-ORDERING ANTITONICITY OF MATRIX INVERSION

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Scaled AMO Calculations on the Hydrogen Molecule

The energy curve for the state of H₂ is calculated. An AMO treatment, where the alternant orbitals are differently scaled is used. The three parameters needed are completely varied, this gives satisfactory results. General features of the AMO method, shown up in the present work, are pointed out and connections with earlier calculations are discussed. On a calculé la courbe d'énergie potentielle de l'état de H₂ par la méthode AMO avec des “constantes d'échelle” différentes pour les deux orbitales alternantes. Les trois paramètres ont été complètement variés, ce qui donne des résultats satisfaisants. On discute quelques aspects généraux de la méthode AMO, qui se sont manifestés dans le présent calcul, ainsi que les rapports avec d'autres calculs. Die Potentialkurve für den Zustand des Wasserstoffmoleküls wurde mit der AMO Methode mit verschiedenen Koordinatenstreckungsfaktoren für die zwei alternierenden Orbitale berechnet. Die drei Parameter wurden vollständig variiert, was befriedigende Resultate gab. Allgemeine Züge der AMO-Methode, die in dieser Berechnung erschienen sind, and Verbindungen mit anderen Berechnungen wurden diskutiert.     

THE FOREST ROTATION PROBLEM WITH STOCHASTIC HARVEST AND AMENITY VALUE

ABSTRACT. We present a general approach to study optimal rotation policy with amenity valuationunder stochastic forest stand value. We state a set of weak conditions under which a unique optimal harvesting threshold exists and derive the value of the optimal policy. We characterize the impact of forest stand value volatility on both the total and the marginal expected cumulative present value of the revenues accrued from amenities. We also illustrate our results numerically and find that depending on the precise characteristics of amenity valuation higher forest stand value volatility may accelerate the rotation policy by decreasing the optimal harvesting threshold.     

FOREST ROTATIONS AND STAND INTERDEPENDENCY: OWNERSHIP STRUCTURE AND TIMING OF DECISIONS

ABSTRACT. This paper extends the Hartman model to study the optimal rotation age of two interdependent stands at the steady state, when the rotation ages of the two stands are equal and the stream of amenities produced from the two stands may be complements or substitutes, both in space and over time. In the presence of stand interdependence both the ownership structure and the sequence of decision making matters. Rotation age choices are examined and compared under a variety of equilibria, including Nash, Stackelberg and sole owner cases. We show that the sole owner's rotation age is longer than the rotation age under both Nash and Stackelberg assumptions if the stands are spatial complements but shorter if they are spatial substitutes. The precise relationship between the Nash and Stackelberg rotation ages and the qualitative properties of rotation ages in terms of timber prices, regeneration costs and interest rates also depend on how spatial substitutability and complementarity between stands evolves through time.