Upscaling with the dynamic two-layer classification concept (D2C): TreeMig-2L, an efficient implementation of the forest-landscape model TreeMig

Abstract. Models used to investigate impacts of climatic changes on spatio-temporal vegetation dynamics need to balance required accuracy with computational feasibility. To enhance the computational efficiency of these models, upscaling methods are required that maintain key fine-scale processes influencing vegetation dynamics. In this paper, an adjustable method – the dynamic two-layer classification concept (D2C) – for the upscaling of time- and space-discrete models is presented. D2C aims to separate potentially repetitive calculations from those specific to single grid cells. The underlying idea is to extract processes that do not require information about a grid cell's neighbourhood to a reduced-size non-spatial layer, which is dynamically coupled to the original two-dimensional layer. The size of the non-spatial layer is thereby adaptive and depends on dynamic classifications according to pre-specified similarity criteria. I present how D2C can be used in a model implementation on the example of TreeMig-2L, a new, efficient version of the intermediate-complexity forest-landscape model TreeMig. To discuss the trade-off between computational expenses and accuracy, as well as the applicability of D2C, I compare different model stages of TreeMig-2L via simulations of two different application scenarios. This comparison of different model stages demonstrates that applying D2C can strongly reduce computational expenses of processes calculated on the new non-spatial layer. D2C is thus a valuable upscaling method for models and applications in which processes requiring information about the neighbourhood constitute the minor share of the overall computational expenses.

[1]  Julia E. M. S. Nabel,et al.  Upscaling of spatially explicit and linked time- and space-discrete models simulating vegetation dynamics under climate change , 2013, EnviroInfo.

[2]  N. Zimmermann,et al.  Understanding the low-temperature limitations to forest growth through calibration of a forest dynamics model with tree-ring data , 2007 .

[3]  M. P.R.,et al.  A METHOD FOR SCALING VEGETATION DYNAMICS: THE ECOSYSTEM DEMOGRAPHY MODEL (ED) , 2022 .

[4]  Heike Lischke,et al.  Interannual climate variability and population density thresholds can have a substantial impact on simulated tree species’ migration , 2013 .

[5]  Sucharita Ghosh,et al.  A changing world: Challenges for landscape research , 2007 .

[6]  Wolfgang Cramer,et al.  Scaling Issues in Forest Succession Modelling , 2000 .

[7]  Alexei G. Sankovski,et al.  Special report on emissions scenarios , 2000 .

[8]  Qin Yu,et al.  Simulating Future Changes in Arctic and Subarctic Vegetation , 2007, Computing in Science & Engineering.

[9]  N. Zimmermann,et al.  TreeMig: A forest-landscape model for simulating spatio-temporal patterns from stand to landscape scale , 2006 .

[10]  Peter E. Thornton,et al.  Model Up-scaling in Landscape Research , 2007 .

[11]  A. Fischlin,et al.  Aggregation of individual trees and patches in forest succession models: capturing variability with height structured, random, spatial distributions. , 1998, Theoretical population biology.

[12]  Brian Huntley,et al.  Beyond bioclimatic envelopes: dynamic species' range and abundance modelling in the context of climatic change , 2010 .

[13]  D. Mladenoff,et al.  Design, behavior and application of LANDIS, an object-oriented model of forest landscape disturbance and succession. , 1999 .

[14]  David J. Mladenoff,et al.  Design, development, and application of LANDIS-II, a spatial landscape simulation model with flexible temporal and spatial resolution , 2007 .

[15]  Felix Kienast,et al.  Extrapolation methods for climate time series revisited – Spatial correlations in climatic fluctuations influence simulated tree species abundance and migration , 2014 .

[16]  M. Sykes,et al.  Predicting global change impacts on plant species' distributions: Future challenges , 2008 .

[17]  Hong S. He,et al.  Challenges of forest landscape modeling—Simulating large landscapes and validating results , 2011 .

[18]  D. Mladenoff,et al.  A forest growth and biomass module for a landscape simulation model, LANDIS: design, validation, and application , 2004 .

[19]  Hong S. He,et al.  An innovative computer design for modeling forest landscape change in very large spatial extents with fine resolutions , 2011 .

[20]  C. C. Law,et al.  ParaView: An End-User Tool for Large-Data Visualization , 2005, The Visualization Handbook.

[21]  Benjamin Smith,et al.  Implications of incorporating N cycling and N limitations on primary production in an individual-based dynamic vegetation model , 2013 .

[22]  José M. V. Fragoso,et al.  Forecasting Regional to Global Plant Migration in Response to Climate Change , 2005 .

[23]  Benjamin Smith,et al.  Representation of vegetation dynamics in the modelling of terrestrial ecosystems: comparing two contrasting approaches within European climate space , 2008 .

[24]  Greta Bocedi,et al.  Projecting species’ range expansion dynamics: sources of systematic biases when scaling up patterns and processes , 2012 .

[25]  F. Woodward,et al.  Assessing uncertainties in a second-generation dynamic vegetation model caused by ecological scale limitations. , 2010, The New phytologist.

[26]  H. Lischke,et al.  Explicit avalanche-forest feedback simulations improve the performance of a coupled avalanche-forest model , 2014 .

[27]  Dominique Gravel,et al.  Using dynamic vegetation models to simulate plant range shifts , 2014 .

[28]  H. Bugmann,et al.  Improving the formulation of tree growth and succession in a spatially explicit landscape model , 2004 .

[29]  Brian R. Miranda,et al.  Comparing modern and presettlement forest dynamics of a subboreal wilderness: does spruce budworm enhance fire risk? , 2012, Ecological applications : a publication of the Ecological Society of America.

[30]  Josef Weidendorfer,et al.  Sequential Performance Analysis with Callgrind and KCachegrind , 2008, Parallel Tools Workshop.

[31]  Thomas Giesecke,et al.  Projecting the future distribution of European potential natural vegetation zones with a generalized, tree species-based dynamic vegetation model , 2012 .

[32]  Pierre Auger,et al.  A review on spatial aggregation methods involving several time scales , 2012 .

[33]  Hong S. He,et al.  Linking an ecosystem model and a landscape model to study forest species response to climate warming , 1999 .

[34]  S. Garman,et al.  Scaling fine-scale processes to large-scale patterns using models derived from models: meta-models. , 1999 .

[35]  Andrew Jarvis,et al.  Hole-filled SRTM for the globe Version 4 , 2008 .