On the Elasticities of Harvesting Rules

In this paper, we rank the relative importance of the exogenous parameters upon the optimal harvesting size in a stochastic rotation problem. We show that when the tree growth follows geometric Brownian motion, the harvesting size is most elastic to the harvesting cost, followed by the interest rate, and is least elastic to the parameters of tree growth. Similar ranking holds for the linear growth case. In both cases the harvesting size is increasing and concave in the harvesting cost, bounded between two parallel lines. The harvesting decision is made according to a stochastic extension of the Faustmann formula.

[1]  Robert A. Miller,et al.  A stochastic analysis of the tree paradigm , 1983 .

[2]  Peter Fredriksson,et al.  Optimal unemployment insurance design: Time limits, monitoring, or workfare? , 2003 .

[3]  Colin W. Clark,et al.  Mathematical Bioeconomics. The Optimal Management of Renewable Resources. , 1978 .

[4]  J. Stephen Ferris,et al.  Searching for Keynes: With Application to Canada, 1870-2000 , 2003, SSRN Electronic Journal.

[5]  Volker Grossmann,et al.  Firm Size and Diversification: Asymmetric Multiproduct Firms Under Cournot Competition , 2003, SSRN Electronic Journal.

[6]  S. Salo,et al.  Optimal forest rotation and land values under a borrowing constraint , 2001 .

[7]  Bjorn Sandvik,et al.  Optimal Taxation and Normalisations , 2003, SSRN Electronic Journal.

[8]  P. O’brien,et al.  The Governance of Globalization: The Political Economy of Anglo-American Hegemony, 1793-2003 , 2003, SSRN Electronic Journal.

[9]  Robert A. Miller,et al.  A sequential stochastic tree problem , 1980 .

[10]  U. Woitek,et al.  Electoral Uncertainty, Fiscal Policies & Growth: Theory and Evidence from Germany, the UK and the Us , 2003, SSRN Electronic Journal.

[11]  J. Baten,et al.  Creating Firms for a New Century: Determinants of Firm Creation Around 1900 , 2003, SSRN Electronic Journal.

[12]  Carlo Devillanova,et al.  Capital-Skill Complementarity and the Redistributive Effects of Social Security Reform , 2003, SSRN Electronic Journal.

[13]  Patrick Waelbroeck,et al.  Piracy of Digital Products: A Critical Review of the Economics Literature , 2003, SSRN Electronic Journal.

[14]  Yngve Willassen,et al.  The Stochastic Rotation Problem - A Generalization of faustmann's Formula to Stochastic Forest Growth , 1998 .

[15]  W. Reed,et al.  Harvest decisions and asset valuation for biological resources exhibiting size-dependent stochastic growth , 1990 .

[16]  W. Reed,et al.  The tree-cutting problem in a stochastic environment: The case of age-dependent growth , 1989 .

[17]  Tapan Mitra,et al.  On the faustmann solution to the forest management problem , 1986 .

[18]  Andreas Haufler,et al.  Market Structure and the Taxation of International Trade , 2003, SSRN Electronic Journal.

[19]  Roberta Dessi,et al.  Social Capital and Collusion: The Case of Merchant Guilds , 2003, SSRN Electronic Journal.

[20]  Bas van Aarle,et al.  Transatlantic Monetary and Fiscal Policy Interaction , 2003 .

[21]  Christian Keuschnigg Public Policy and Venture Capital Backed Innovation , 2003 .

[22]  Dan Anderberg Insiders, Outsiders, and the Underground Economy , 2003 .

[23]  Maureen Were,et al.  An Assessment of the Impact of Hiv/Aids on Economic Growth: The Case of Kenya , 2003, SSRN Electronic Journal.

[24]  W. Reed,et al.  The role of stochastic monotonicity in the decision to conserve or harvest old-growth forest , 1994 .

[25]  D. Snower,et al.  The Firm as a Pool of Factor Complementarities , 2003, SSRN Electronic Journal.

[26]  M. Grimaldi,et al.  Bubbling and Crashing Exchange Rates , 2003, SSRN Electronic Journal.

[27]  Olivier Bargain,et al.  Is the Collective Model of Labor Supply Useful for Tax Policy Analysis ? A Simulation Exercise , 2005 .

[28]  Martin Kolmar,et al.  The Taxation of Financial Capital Under Asymmetric Information and the Tax-Competition Paradox , 2003, SSRN Electronic Journal.

[29]  G. R. Feiwel Joan Robinson and Modern Economic Theory , 1989 .

[30]  M. Rothschild,et al.  Stochastic Capital Theory , 1989 .

[31]  Annette Alstadsæter,et al.  Income Tax, Consumption Value of Education, and the Choice of Educational Type , 2003 .

[32]  Christoph Borgmann,et al.  Demographics and Volatile Social Security Wealth: Political Risks of Benefit Rule Changes in Germany , 2003, SSRN Electronic Journal.

[33]  P. Samuelson Economics of Forestry in an Evolving Society , 1976 .

[34]  Carlos Fonseca Marinheiro,et al.  Output Smoothing in Emu and OECD: Can We Forego Government Contribution? A Risk Sharing Approach , 2003, SSRN Electronic Journal.

[35]  Jean Pisani-Ferry,et al.  The Surprising French Employment Performance: What Lessons? , 2003, SSRN Electronic Journal.

[36]  Charles Stuart,et al.  Voting and Nonlinear Taxes in a Stylized Representative Democracy , 2003, SSRN Electronic Journal.

[37]  J. Agell,et al.  Endogenous Wage Rigidity , 2003, SSRN Electronic Journal.

[38]  Namkee Ahn,et al.  Bio-Demographic and Health Aspects of Ageing in the EU , 2003, SSRN Electronic Journal.

[39]  Lars Nesheim,et al.  Identification and Estimation of Hedonic Models , 2003, Journal of Political Economy.

[40]  P. Sørensen,et al.  Neutral Taxation of Shareholder Income: A Norwegian Tax Reform Proposal , 2003, SSRN Electronic Journal.

[41]  Jakob von Weizsäcker,et al.  The Hayek Pension an Efficient Minimum Pension to Complement the Welfare State , 2003 .

[42]  J. Choi,et al.  Patent Pools and Cross-Licensing in the Shadow of Patent Litigation , 2003, SSRN Electronic Journal.

[43]  M. Artis,et al.  Is There a European Business Cycle? , 2003, SSRN Electronic Journal.

[44]  C. Hefeker,et al.  Structural Reforms and the Enlargement of Monetary Union , 2000, SSRN Electronic Journal.

[45]  John Komlos,et al.  From the Tallest to (One of) the Fattest: The Enigmatic Fate of the American Population in the 20th Century , 2003, Economics and human biology.

[46]  Thomas von Ungern-Sternberg State Intervention on the Market for Natural Damage Insurance in Europe , 2003 .

[47]  Ioannis Karatzas,et al.  Brownian Motion and Stochastic Calculus , 1987 .

[48]  A. Belke,et al.  Exchange Rate Volatility and Employment Growth: Empirical Evidence from the CEE Economies , 2003, SSRN Electronic Journal.

[49]  Kashif S. Mansori,et al.  Following in Their Footsteps: Comparing Interest Parity Conditions in Central European Economies to the Euro Countries , 2003, SSRN Electronic Journal.

[50]  Philippe Choné,et al.  Female Labor Supply and Child Care in France , 2003, SSRN Electronic Journal.

[51]  Kjetil Bjorvatn,et al.  Decentralization and the Fate of Minorities , 2003, SSRN Electronic Journal.

[52]  Martin R. West,et al.  Which School Systems Sort Weaker Students into Smaller Classes? International Evidence , 2003 .

[53]  Henning Bohn Will Social Security and Medicare Remain Viable as the U.S. Population is Aging? An Update , 2003, SSRN Electronic Journal.

[54]  Wolfgang Ochel,et al.  Decentralizing Wage Bargaining in Germany - a Way to Increase Employment? , 2003, SSRN Electronic Journal.

[55]  Colin W. Clark,et al.  Mathematical Bioeconomics: The Optimal Management of Renewable Resources. , 1993 .

[56]  Jerome L. Stein,et al.  Stochastic Optimal Control Modeling of Debt Crises , 2003, SSRN Electronic Journal.

[57]  Concepció Patxot,et al.  On the optimality of PAYG pension systems in an endogenous fertility setting , 2003, Journal of Pension Economics and Finance.

[58]  P. Pestieau,et al.  Wealth Transfer Taxation: A Survey , 2003 .

[59]  Patrizio Tirelli,et al.  Fiscal and Monetary Policy Interactions: Empirical Evidence and Optimal Policy Using a Structural New Keynesian Model , 2003, SSRN Electronic Journal.

[60]  W. J. Reed,et al.  The decision to conserve or harvest old-growth forests. , 1993 .

[61]  Michele Moretto,et al.  Investment Size and Firm's Value Under Profit Sharing Regulation , 2003 .

[62]  William A. Brock,et al.  Stochastic methods in economics and finance , 1982 .

[63]  Annette Alstadsæter,et al.  The Dual Income Tax and Firms' Income Shifting Through the Choice of Organizational Form and Real Capital Investments , 2003 .

[64]  Rafael Lalive,et al.  Social Interactions in Unemployment , 2003 .

[65]  Stefan Napel,et al.  Bargaining and Distribution of Power in the Eu's Conciliation Committee , 2003, SSRN Electronic Journal.

[66]  Peter Birch Sørensen,et al.  Improving the Equity-Efficiency Trade-Off: Mandatory Savings Accounts for Social Insurance , 2003 .

[67]  Mark V. Pauly Time, Risk, Precommitment, and Adverse Selection in Competitive Insurance Markets , 2003 .

[68]  Lars-Erik Borge,et al.  The Relationships between Costs and User Charges: The Case of a Norwegian Utility Service , 2003, SSRN Electronic Journal.

[69]  Thomas Stratmann Contribution limits and the effectiveness of campaign spending , 2003 .

[70]  J. Harrison,et al.  Brownian motion and stochastic flow systems , 1986 .

[71]  Gilberto Turati,et al.  Bailing Out Expectations and Health Expenditure in Italy , 2003, SSRN Electronic Journal.

[72]  J. Agell,et al.  Why are Small Firms Different? Managers' Views , 2003, SSRN Electronic Journal.

[73]  Dale J. Poirier,et al.  Relationship between Maternal Behavior During Pregnancy, Birth Outcome, and Early Childhood Development: An Exploratory Study , 2003 .