The value of perfect and imperfect information in lake monitoring and management.

Uncertainty in the information obtained through monitoring complicates decision making about aquatic ecosystems management actions. We suggest the value of information (VOI) to assess the profitability of paying for additional monitoring information, when taking into account the costs and benefits of monitoring and management actions, as well as associated uncertainty. Estimating the monetary value of the ecosystem needed for deriving VOI is challenging. Therefore, instead of considering a single value, we evaluate the sensitivity of VOI to varying monetary value. We also extend the VOI analysis to the more realistic context where additional information does not result in perfect, but rather in imperfect information on the true state of the environment. Therefore, we analytically derive the value of perfect information in the case of two alternative decisions and two states of uncertainty. Second, we describe a Monte Carlo type of approach to evaluate the value of imperfect information about a continuous classification variable. Third, we determine confidence intervals for the VOI with a percentile bootstrap method. Results for our case study on 144 Finnish lakes suggest that generally, the value of monitoring exceeds the cost. It is particularly profitable to monitor lakes that meet the quality standards a priori, to ascertain that expensive and unnecessary management can be avoided. The VOI analysis provides a novel tool for lake and other environmental managers to estimate the value of additional monitoring data for a particular, single case, e.g. a lake, when an additional benefit is attainable through remedial management actions.

[1]  Sari Väisänen,et al.  Monetary assessment of the recreational benefits of improved water quality – description of a new model and a case study , 2017 .

[2]  C. S. Holling Adaptive Environmental Assessment and Management , 2005 .

[3]  Douglas G Altman,et al.  Dichotomizing continuous predictors in multiple regression: a bad idea , 2006, Statistics in medicine.

[4]  Fumie Yokota,et al.  Value of Information Analysis in Environmental Health Risk Management Decisions: Past, Present, and Future , 2004, Risk analysis : an official publication of the Society for Risk Analysis.

[5]  Mark Colyvan,et al.  Value of information and monitoring in conservation biology , 2016, Environment Systems and Decisions.

[6]  Daryl Burdon,et al.  An initial economic evaluation of water quality improvements in the Randers Fjord, Denmark. , 2006, Marine pollution bulletin.

[7]  A. Huhtala,et al.  What Are the Benefits of the Water Framework Directive? Lessons Learned for Policy Design from Preference Revelation , 2015 .

[8]  Richard T. Carson,et al.  Valuing Oil Spill Prevention: A Case Study of California's Central Coast , 2004 .

[9]  Kristian Meissner,et al.  Protecting and restoring Europe's waters: An analysis of the future development needs of the Water Framework Directive. , 2019, The Science of the total environment.

[10]  H. Raiffa,et al.  Applied Statistical Decision Theory. , 1961 .

[11]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[12]  Gurutzeta Guillera-Arroita,et al.  When do we need more data? A primer on calculating the value of information for applied ecologists , 2015 .

[13]  Kyle Eyvindson,et al.  Value of information in multiple criteria decision making: an application to forest conservation , 2019, Stochastic Environmental Research and Risk Assessment.

[14]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[15]  Friederike C. Bolam,et al.  Using the Value of Information to improve conservation decision making , 2018, Biological reviews of the Cambridge Philosophical Society.

[16]  Henrik Nygård,et al.  Price vs. Value of Marine Monitoring , 2016, Front. Mar. Sci..

[17]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[18]  V. Retèl,et al.  A Systematic and Critical Review of the Evolving Methods and Applications of Value of Information in Academia and Practice , 2012, PharmacoEconomics.

[19]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[20]  Jacob Carstensen,et al.  Confidence in ecological indicators: A framework for quantifying uncertainty components from monitoring data , 2016 .

[21]  Byron K. Williams,et al.  Adaptive resource management and the value of information , 2011 .

[22]  A. Reynaud,et al.  A Global Meta-Analysis of the Value of Ecosystem Services Provided by Lakes , 2017, Ecological economics : the journal of the International Society for Ecological Economics.

[23]  R. B. Jackson,et al.  Global biodiversity scenarios for the year 2100. , 2000, Science.

[24]  L. Brander,et al.  The Empirics of Wetland Valuation: A Comprehensive Summary and a Meta-Analysis of the Literature , 2006 .

[25]  Simon French,et al.  Decision Behaviour, Analysis and Support , 2009 .

[26]  Tapan Mukerji,et al.  Value of Information in the Earth Sciences: Integrating Spatial Modeling and Decision Analysis , 2016 .