Multi-objective optimization for timber harvest management incorporating wildlife habitat goals

S. L. Schooler1, Nathan J. Svoboda2, Charles N. Kroll3, S. P. Finnegan1, Jerrold L. Belant4
1Department of Environmental Biology, State University of New York College of Environmental Science and Forestry, Syracuse, NY, USA
2Alaska Department of Fish and Game, Wildlife Division, Kodiak, AK, USA
3Department of Environmental Resources Engineering, State University of New York College of Environmental Science and Forestry, Syracuse, NY, USA
4Department of Fisheries and Wildlife, Michigan State University, East Lansing, MI, USA

Tóm tắt

Abstract Context The forestry industry provides important goods, services and economic benefits, but timber harvest can adversely impact ecosystem services, including wildlife habitat. Timber harvest planning can integrate wildlife habitat quality through multi-objective optimization for timber harvest and wildlife habitat suitability. Objectives Our objective was to develop a method to find optimal solutions for timber harvest and wildlife habitat suitability individually and concurrently, then apply the method to Roosevelt elk (Cervus elaphus roosevelti) on Afognak Island, Alaska. Methods We developed three seasonal habitat suitability models using elk locations and landscape variables including historical timber harvest on Afognak Island, Alaska. We used threshold-accepting optimization over a 50-year planning horizon to maximize timber harvest yield and habitat suitability in each season, then used multi-objective goal-deviation optimization to simultaneously maximize timber harvest volume and seasonal habitat suitability. Results The optimal solution for timber yield decreased seasonal average habitat suitability by 5.7%. Elk habitat suitability and corresponding optimal solutions varied seasonally; elk generally selected open landcovers and early- to mid-successional timber stands over late-successional and mature stands. Therefore, in the optimal solutions, stands were harvested before they reached maximum volume and few stands were harvested in early planning periods, resulting in a seasonal average loss of 17.5% yield. Multi-objective optimization decreased seasonal average suitability by 3.9% and yield by 1.4% compared to single-objective optimization. Conclusions Our multi-objective optimization approach that incorporates data-driven habitat suitability models using open-source software can enable managers to achieve desired quantity and quality of wildlife habitat while providing for resource extraction.

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Alaska Department of Fish and Game (2022) 2022–2023 Alaska hunting regulations: governing general, subsistence, and commercial uses of Alaska’s wildlife. Alaska Department of Fish and Game, Juneau

Alden JN (1998) Effects of seed shelters on emergence, survival, and growth of Sitka spruce seedlings on Afognak island. In: Wheeler R

(ed) Alaska Extension Review 1997 Trial Season. Alaska Cooperative Extension, Fairbanks, pp 44-49

Alexander JE (1972) Seasonal movements of elk. Alaska Department of Fish and Game, Juneau

Arris AS, Farr WA (1974) Forest ecology and timber management. In: The Forest Ecosystem of Southeast Alaska. United States Forest Service Pacific Northwest Research Station, Portland

Barbknecht AE, Fairbanks WS, Rogerson JD et al (2011) Elk parturition site selection at local and landscape scales. J Wildl Manage 75:646–654. https://doi.org/10.1002/jwmg.100

Batchelor RF (1965) The Roosevelt elk in Alaska: its ecology and management. Alaska Department of Fish and Game, Juneau

Beever EA, Hall LE, Varner J et al (2017) Behavioral flexibility as a mechanism for coping with climate change. Front Ecol Environ 15:299–308

Bettinger P, Boston K, Sessions J (1999) Combinatorial optimization of elk habitat effectiveness and timber harvest volume. Environ Model Assess 4:143–153. https://doi.org/10.1023/A:1019051931272

Bettinger P, Sessions J, Boston K, Murray AT (2009) A review of the status and use of validation procedures for heuristics used in forest planning. Math Comput for Nat Sci 1:26–37

Bettinger P, Graetz D, Boston K et al (2002) Eight heuristic planning techniques applied to three increasingly difficult wildlife planning problems. Silva Fenn 36:561–584. https://doi.org/10.14214/sf.545

Boyce MS, Mao JS, Merrill EH et al (2003) Scale and heterogeneity in habitat selection by elk in Yellowstone National Park. Ecoscience 10:421–431

Brodie J, Johnson H, Mitchell M et al (2013) Relative influence of human harvest, carnivores, and weather on adult female elk survival across western North America. J Appl Ecol 50:295–305. https://doi.org/10.1111/1365-2664.12044

Burnham KP, Anderson DD (2002) Model selection and multimodel inference: a practical information-theoretic approach, 2nd edn. Springer, New York

Burnham KP, White GC (2002) Evaluation of some random effects methodology applicable to bird ringing data. J Appl Stat 29:245–264. https://doi.org/10.1080/02664760120108755

Christianson DA, Creel S (2007) A review of environmental factors affecting elk winter diets. J Wildl Manage 71:164–176. https://doi.org/10.2193/2005-575

Cook RC, Cook JG, Vales DJ et al (2013) Regional and seasonal patterns of nutritional condition and reproduction in elk. Wildl Monogr. https://doi.org/10.1002/wmon.1008

Danielson JJ, Gesch DB (2011) Global multi-resolution terrain elevation data 2010 (GMTED2010)

Díaz-Balteiro L, Romero C (2003) Forest management optimisation models when carbon captured is considered: a goal programming approach. For Ecol Manage 174:447–457. https://doi.org/10.1016/S0378-1127(02)00075-0

Dormann CF, Elith J, Bacher S et al (2013) Collinearity: a review of methods to deal with it and a simulation study evaluating their performance. Ecography (cop) 36:27–46. https://doi.org/10.1111/j.1600-0587.2012.07348.x

Dueck G, Scheuer T (1990) Threshold accepting: a general purpose optimization algorithm appearing superior to simulated annealing. J Comput Phys 90:161–175. https://doi.org/10.1016/0021-9991(90)90201-B

Esri, Maxar, Earthstar Geographics (2022) World Imagery [basemap]. https://www.arcgis.com/home/item.html?id=10df2279f9684e4a9f6a7f08febac2a9. Accessed 4 Jan 2022

FAO (2016) Global forest resources assessment 2015. Food and Agriculture Organization of the United Nations, Rome

Finnegan SP, Svoboda NJ, Fowler NL et al (2021) Variable intraspecific space use supports optimality in an apex predator. Sci Rep. https://doi.org/10.1038/s41598-021-00667-y

Fisher JT, Wilkinson L (2005) The response of mammals to forest fire and timber harvest in the North American boreal forest. Mamm Rev 35:51–81. https://doi.org/10.1111/j.1365-2907.2005.00053.x

Fleming CH, Calabrese JM (2017) A new kernel density estimator for accurate home-range and species-range area estimation. Methods Ecol Evol 8:571–579. https://doi.org/10.1111/2041-210X.12673

Forsman ED, Kaminski TJ, Lewis JC et al (2005) Home range and habitat use of northern spotted owls on the Olympic Peninsula, Washington. J Raptor Res 39:365–377

Frair JL, Merrill EH, Visscher DR et al (2005) Scales of movement by elk (Cervus elaphus) in response to heterogeneity in forage resources and predation risk. Landsc Ecol 20:273–287. https://doi.org/10.1007/s10980-005-2075-8

Garroutte EL, Hansen AJ, Lawrence RL (2016) Using NDVI and EVI to map spatiotemporal variation in the biomass and quality of forage for migratory elk in the greater Yellowstone ecosystem. Remote Sens. https://doi.org/10.3390/rs8050404

Gilli M, Këllezi E, Hysi H (2006) A data-driven optimizaiton heuristic for downside risk minimization. J Risk 8:1–19. https://doi.org/10.2139/ssrn.910233

Gilli M, Maringer D, Schumann E (2019) Numerical methods and optimization in finance, 2nd edn. Academic Press, London

Google Earth (2022) Google Earth Pro V 7.3.4.8248. 1984–2022. Afognak Island, USA. 58°13;18.30″N, 152°30;22.91″ W, eye alt 50,000 ft. Landsat and Copernicus. Accessed 1 May 2022

Hansen D (2018) Growth and yield of Sitka spruce on Afognak Island, Alaska is low, or is it? Thesis, State University of New York College of Environmental Science and Forestry

Harris AS (1972) Natural reforestation after logging on Afognak Island. United States Forest Service Pacific Northwest Research Station, Portland

Hurme E, Kurttila M, Mönkkönen M et al (2007) Maintenance of flying squirrel habitat and timber harvest: a site-specific spatial model in forest planning calculations. Landsc Ecol 22:243–256. https://doi.org/10.1007/s10980-006-9019-9

Irwin LL, Peek JM (1983) Elk habitat use relative to forest succession in Idaho. J Wildl Manage 47:664–672

Jenkins K, Starkey E (1996) Simulating secondary succession of elk forage values in a managed forest landscape, western Washington. Environ Manage 20:715–724. https://doi.org/10.1007/BF01204142

Jin S, Homer C, Yang L et al (2019) Overall methodology design for the United States national land cover database 2016 products. Remote Sens. https://doi.org/10.3390/rs11242971

Kellner KF, Renken RB, Millspaugh JJ et al (2019) Effects of forest management on vertebrates: synthesizing two decades of data from hardwood forests in Missouri, USA. Ecol Appl 29:1–16. https://doi.org/10.1002/eap.1993

Larson MA, Thompson FR, Millspaugh JJ et al (2004) Linking population viability, habitat suitability, and landscape simulation models for conservation planning. Ecol Modell 180:103–118. https://doi.org/10.1016/j.ecolmodel.2003.12.054

Lawler JJ, Lewis DJ, Nelson E et al (2014) Projected land-use change impacts on ecosystem services in the United States. Proc Natl Acad Sci USA 111:7492–7497. https://doi.org/10.1073/pnas.1405557111

Long RA, Bowyer RT, Porter WP et al (2014) Behavior and nutritional condition buffer a large-bodied endotherm against direct and indirect effects of climate. Ecol Monogr 84:513–532. https://doi.org/10.1890/13-1273.1

Lukacs PM, Mitchell MS, Hebblewhite M et al (2018) Factors influencing elk recruitment across ecotypes in the Western United States. J Wildl Manage 82:698–710. https://doi.org/10.1002/jwmg.21438

Menne MJ, Durre I, Korzeniewski B et al (2012) Global historical climatology network—Daily (GHCN-Daily), Version 3. [USW00025501 1955–2020]. https://mrcc.purdue.edu/CLIMATE/. Accessed 16 Feb 2021

Nelson E, Mendoza G, Regetz J et al (2009) Modeling multiple ecosystem services, biodiversity conservation, commodity production, and tradeoffs at landscape scales. Front Ecol Environ 7:4–11. https://doi.org/10.1890/080023

Nielsen SE, Haney A (1998) Gradient responses for understory species in a bracken grassland and northern dry forest ecosystem of northeast Wisconsin. Trans Wisconsin Acad Sci Arts Lett 86:149–166

Pepke E (2010) Global wood markets: consumption, production, and trade. In: International Forestry and Global Issues. UNECE/FAO Timber Section, Geneva

Powell RA (2012) Movements, home ranges, activity, and dispersal. In: Boitani L, Powell RA (eds) Carnivore ecology and conservation: a handbook of techniques. Oxford University Press, New York, pp 189–217

R Core Team (2021) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Version 4.0.4. https://www.r-project.org/

Rearden SN, Anthony RG, Johnson BK (2011) Birth-site selection and predation risk of Rocky Mountain elk. J Mammal 92:1118–1126. https://doi.org/10.1644/09-MAMM-A-019A.1

Rettie WJ, Messier F (2000) Hierarchical habitat selection by woodland caribou: its relationship to limiting factors. Ecography (Cop) 23:466–478. https://doi.org/10.1111/j.1600-0587.2000.tb00303.x

Roloff GJ, Kernohan BJ (1999) Evaluating reliability of habitat suitability index models. Wildl Soc Bull 27:973–985

Root TL, Price JT, Hall KR et al (2003) Fingerprints of global warming on wild animals and plants. Nature 421:57–60. https://doi.org/10.1038/nature01333

Rowland MM, Wisdom MJ, Nielson RM et al (2018) Modeling elk nutrition and habitat use in western Oregon and Washington. Wildl Monogr 199:1–69. https://doi.org/10.1002/wmon.1033

Rumble MA, Gamo RS (2011) Habitat use by elk (Cervus elaphus) within structural stages of a managed forest of the northcentral United States. For Ecol Manage 261:958–964. https://doi.org/10.1016/j.foreco.2010.12.005

Schooler SL, Svoboda NJ, Finnegan SP et al (2022) Maternal carryover, winter severity, and brown bear abundance relate to elk demographics. PLoS One 17:e0274359. https://doi.org/10.1371/journal.pone.0274359

Schumann E (2020) Financial optimisation with R. https://enricoschumann.net/files/NMOFman.pdf. Accessed 30 Jun 2022

GBIF Secretariat (2022) What is GBIF? GBIF: the Global Biodiversity Information Facility. https://www.gbif.org/what-is-gbif

Sexton JO, Song XP, Feng M et al (2013) Global, 30-m resolution continuous fields of tree cover: Landsat-based rescaling of MODIS vegetation continuous fields with lidar-based estimates of error. Int J Digit Earth 6:427–448. https://doi.org/10.1080/17538947.2013.786146

Skovlin JM, Bryant LD, Edgerton PJ (1989) Timber harvest affects elk distribution in the Blue Mountains of Oregon. United States Forest Service Pacific Northwest Research Station, Portland

Sommer S, Huggins RM (1996) Variables selection using the Wald test and a robust CP. J R Stat Soc 45:15–29. https://doi.org/10.2307/2986219

Starkey EE, DeCalesta DS, Witmer GW (1982) Management of Roosevelt elk habitat and harvest. In: Sabol K (ed) Transactions of the 47th North American wildlife and natural resources conference. United States National Park Service, Washington, pp 353–362

Steventon JD, KacKenzie KL, Mahon TE (1998) Response of small mammals and birds to partial cutting and clearcutting in northwest British Columbia. For Chron 74:703–713

Swets JA (1988) Measuring the accuracy of diagnostic systems. Science 240:1285–1293. https://doi.org/10.1126/science.3287615

Swihart RK, Slade NA (1985) Testing for independence of observations in animal movements. Ecology 66:1176–1184. https://doi.org/10.2307/1939170

Thomas DL, Taylor EJ (2006) Study designs and tests for comparing resource use and availability II. J Wildl Manage 70:324–336. https://doi.org/10.2193/0022-541X(2006)70[324:SDATFC]2.0.CO;2

Troyer WA (1960) The Roosevelt elk on Afognak Island, Alaska. J Wildl Manage 24:15–21. https://doi.org/10.2307/3797351

U.S. Geological Survey (1988) Aerial photo single frames high resolution. https://doi.org/10.5066/F7610XKM. Accessed 1 May 2021

U.S. Geological Survey (2006) Aerial photography high resolution orthoimagery (HRO). https://doi.org/10.5066/F73X84W6. Accessed 1 May 2021

U.S. Geological Survey (2022) Landsat 8–9 operational land imager and thermal infrared sensor collection 2 level-1 data. https://doi.org/10.5066/P975CC9B. Accessed 30 Jun 2022

U.S. Geological Survey, Google (2007) Landsat 8 collection 1 tier 1 top of atmosphere reflectance. In: Google Earth Engine Data Cat. https://developers.google.com/earth-engine/datasets/catalog/LANDSAT_LC08_C01_T1_TOA. Accessed 4 Jan 2022

Unsworth JW, Kuck L, Garton EO, Butterfield BR (1998) Elk habitat selection on the Clearwater National Forest, Idaho. J Wildl Manage 62:1255–1263

Visscher DR, Merrill EH (2009) Temporal dynamics of forage succession for elk at two scales: implications of forest management. For Ecol Manage 257:96–106. https://doi.org/10.1016/j.foreco.2008.08.018

Wikelski M, Davidson SC, Kays R (2022) Movebank: archive, analysis and sharing of animal movement data. Max Planck Institute of Animal Behavior. https://www.movebank.org

Wisdom MJ, Bright LR, Carey CG et al (1986) A model to evaluate elk habitat in western Oregon. United States Forest Service Pacific Northwest Region, Portland

Wisdom MJ, Johnson BK, Vavra M et al (2004) Cattle and elk responses to intensive timber harvest. In: Rahm J (ed) Transactions of the 69th North American wildlife and natural resources conference. Wildlife Management Institute, Spokane, pp 197–216

Witmer GW, DeCalesta DS (1983) Habitat use by female Roosevelt elk in the Oregon coast range. J Wildl Manage 47:933–939. https://doi.org/10.2307/3808152

Yemshanov D, Haight RG, Liu N et al (2020) Assessing the trade-offs between timber supply and wildlife protection goals in boreal landscapes. Can J for Res 50:243–258. https://doi.org/10.1139/cjfr-2019-0234