Ecological Modelling 156 (2002) 153 /166 www.elsevier.com/locate/ecolmodel A simulation study of landscape scale forest succession in northeastern China Hong S. He a,b,*, Zhanqing Hao a, David R. Larsen b, Limin Dai a, Yuanman Hu a, Yu Chang a a b Institute of Applied Ecology, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110015, People’s Republic of China The School of Natural Resources, the University of Missouri-Columbia, 203 ABNR Building, Columbia, MO 65211-7270, USA Received 28 August 2001; received in revised form 8 March 2002; accepted 24 April 2002 Abstract Changbai Natural Reserve in northeastern China provides an excellent opportunity to explore how temperate and boreal forest ecosystems in northeastern China will evolve and recover over large spatial and temporal scales. Such studies are increasingly needed to design scientifically sound forest management and restoration plans in this region. Long-term (300 years) successional trajectories of the dominant tree species are simulated on the heterogeneous, undisturbed area (within the reserve) using a spatially explicit landscape model. We also examine the spatial and temporal constrains of landscape recovery on the human disturbed areas (surrounding the reserve). Simulation results suggest that an equilibrium in landscape structure and composition is approached on the large landtypes dominated by shade tolerant species, but not on landtypes altered by humans. Such equilibrium can be observed in spruce-fir, mountain birch, and larch forests and not in aspen-birch forests. Our results suggest that direct and indirect human impact may produce long-term alterations to forest landscape patch structure that persist for decades to centuries. For example, even with complete natural succession over 300 years, Korean pine only recovers on 1/3 of the areas in the landtypes it can dominate. We estimate a full recovery would take another 200 /300 years without human disturbance. Our results also indicate that landscape-scale recovery is often limited by the available seed sources and this is particularly true for Korean pines in this region. Comparison of simulation results for the entire study area with land types (two scales) reveals the greatest variations at the land type scale. This discrepancy indicates that the ‘space-fortime’ substitutions can be flawed as species composition and age class at a given site and time may represent only the specific successional history of that site. This is particularly true for human disturbed forest landscapes where higher variations are observed. # 2002 Elsevier Science B.V. All rights reserved. Keywords: Forest landscape succession; Spatial pattern; LANDIS; Spatially explicit landscape models; Changbai nature reserve; Northeastern China 1. Introduction * Corresponding author. Tel.: /1-573-882-7717; fax: /1573-882-1977 E-mail address: [email protected] (H.S. He). The temperate and boreal forest ecosystems in northeastern China provide the major timber and 0304-3800/02/$ - see front matter # 2002 Elsevier Science B.V. All rights reserved. PII: S 0 3 0 4 - 3 8 0 0 ( 0 2 ) 0 0 1 0 4 - 7 154 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 woody supplies for the country with the increasing demands from the growing population. The spatial pattern and ecological functions of these systems have substantially diverged from the natural successional trajectories due to decades of forest cutting and other human land uses. Understanding how these human-altered ecosystems will evolve and recover over long time-periods is limited. Such information is increasingly needed for designing scientifically sound forest management and restoration plans especially for human altered ecosystems (Zhang et al., 2000). In this paper, we intent to fill the gap by providing baseline information of how relatively undisturbed forest landscape can evolve given known ecological principles and the spatial and temporal constrains to the recovery of the human disturbed landscapes. We will do this by applying a landscape simulation model to a relatively undisturbed area in eastern China. Various modeling approaches have been developed to simulate vegetation dynamics in terrestrial ecosystems (Jørgensen, 2000). Majority of them are used for simulating forest vegetation dynamics of forest stands or gaps (Botkin et al., 1972; Shugart, 1984; Pastor and Post, 1985; Urban et al., 1993; Fischlin et al., 1995; Bugmann, 1996) and forest ecosystem processes (Aber and Federer, 1992; Aber et al., 1995; Running and Coughlan, 1988; Running and Gower, 1991; Parton et al., 1987, 1988). Gap models are useful for examining trends of forest succession and reveal quantitative vegetation dynamics for a given plot that represents a small sub-set of the landscape. Ecosystem process models divide study areas into plots or pixels (up to 500/500 m), simulate vegetation dynamics along with ecosystem processes for each pixel, and then summarize simulation results for the entire area. Since each plot or pixel is treated as a spatially independent entity in gap and ecosystem process models, spatial processes such as seed dispersal and disturbance occurring at spatial extents larger than a plot cannot be simulated realistically. In addition, ecosystem process models usually lack of species-specific information. Markov chain models are also used in simulating plot and landscape scale vegetation dynamic and have the advantage of aggregating very complex infor- mation in the transition matrix (e.g. Gardner et al., 1999; Balzter, 2000). However, The applicability of Markov chain models is often limited by lacking spatially explicit predictions and sometimes species-specific information. To study forest landscape change at regional scales, spatially explicit landscape models can be used to integrate broad-scale spatial and temporal processes. Landscape models are effective tools to formalize our understanding of complex landscapes in situations that are difficult or impossible to conduct field experiments because of the large spatial and temporal scales involved (Turner et al., 2001). With the recent development of forest landscape modeling approaches and techniques (Turner et al., 1995; Mladenoff and Baker, 1999; Mladenoff and He, 1999; He et al., 1999a), it is possible to study landscape scale dynamics based upon the existing ecosystem-level processes. In this study, we used a spatially explicit forest landscape model, LANDIS (Mladenoff et al., 1996; Mladenoff and He, 1999; He et al., 1999a,b; Gustafson et al., 2000). LANDIS is a new generation forest landscape model that simulates forest succession, seed dispersal, wind and fire disturbances, harvesting and the interactions of all above over large spatial and temporal domains. It has been extensively described and applied under various species and environmental settings (Mladenoff et al., 1996; Mladenoff and He, 1999; He et al., 1999a,b; He and Mladenoff, 1999a,b; Gustafson et al., 2000; Shifley et al., 1997, 2000; Franklin et al., 2001). These studies have shown that the model is capable of deriving spatially explicit results and yet maintaining information at individual tree species level for a wide range of ecosystems. Changbai Nature Reserve in northeastern China is examined as a case study using simulation modeling to determine the likely long-term successional development. Changbai Nature Reserve is the only remaining large forest reserves in northeastern China (Fig. 1), with forests relatively undisturbed by human activities. The reserve is the home of 1250 species of seed plants, 251 fungi, 148 lichens, 339 bryophytes, 87 pteridophytes, and numerous bird, insects, and mammal species (Xu, 1992; Shao et al., 1994). In 1979, Chinese Acad- H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 155 Fig. 1. Location of Changbai Nature Reserve and the major forest types. Labels are land unit Identifiers. Land units are delineated based on existing land cover, elevation, and landform data under Arc/Info GIS (Fig. 1). These units were classified into landtypes based upon the similarity of the above variables. emy of Sciences founded Changbai Forest Ecosystem Research Station. Since then, numerous research projects have been conducted to understand the structure, function and productivity (e.g. Wang et al., 1980; Burger and Zhao, 1988; Harmon and Chen, 1991), dynamics (e.g. Miles et al., 1983; Barnes et al., 1993; Shao et al., 1994), and nutrient cycling (e.g. Geng et al., 1993) of the dominant forest ecosystems in the reserve. These studies, however, are generally at ecosystem levels and do not address issues at multi-ecosystems or landscape scales. The objectives of this study are to examine landscape scale forest succession and the spatial and temporal factors affecting natural restoration of the human disturbed landscapes in eastern China. Specifically, we will examine successional trajectories of the dominant tree species as predicted by the LANDIS model and their distributions in a spatially explicit manner. Understanding the likely dynamics of species composition and spatial pattern in the reserve, we will not only gain insights into landscape scale processes, but also provide baseline information of a relatively undisturbed forest landscape in northeast China. Such information is invaluable to the management planning of northern hardwood and boreal forest ecosystems throughout northeastern China. 1.1. Study area Changbai Nature Reserve is in Antu County, Jilin Province, northeastern China and has about 200 000 ha from 127842? to 128817?E and 41843? to 42826?N (Fig. 1). Changbai Nature Reserve includes highest part of Changbai Mountain, located along the border of China and North Korea. The mountain is the highest in northeastern China and is the head of three major rivers (Songhua, Yalu, and Tumen) in northeastern provinces. Elevation increases from 740 m at the lowest part of the reserve to 2691 m at the highest point of the 156 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 mountain. Topographic features are different on the four slopes of the mountain with the northern slope relatively flat (average slope B/3%) and other slopes relatively steep (10%). The area has a temperate, continental climate, with cold and long winter and warm summer. Annual mean temperature varies from 2.8 8C at the bottom of the reserve to /7.3 8C near the volcanic crater lake at the highest elevation in the reserve, and annual mean precipitation varies from 750 to 1340 mm. Recent small-scale volcano eruptions occurred in 1597, 1668, 1702 and a very large-scale eruption occurred during 1000/1410 (Zhao, 1981; Liu et al., 1992). Topographic and geological features along with climate variations result in a vertical distribution of major forest ecosystems especially distinct along the northern slope. From 1100 m and below, is a typical temperate forest with mixed Korean pine (Pinus koraiensis ) and hardwood species. From 1100 to 1700 m, is evergreen coniferous forest including spruce (Picea jezoensis ) and fir (Abies nephrolepis ), with typical characteristics of boreal forest in North America. From 1700 to 2000 m, is the sub-alpine forest dominated by mountain birch (Betula ermanii ) and larch (Larix olgensis ). From above 2000 m, there are tundra, bare rock, and a volcanic crater lake. Such a vertical structure provides a condense picture of vastly distributed temperate and boreal forests found across northeastern China. Other dominant forest types such as larch and hardwood forests include aspen (Poplus davidiana Dode), birch (Betula platyphylla Sukachev), basswood (Tilia amuresis ), oak (Quercus mongolica ), maple (Acer mono ), and elm (Ulmus propinqua ). Our study area extends about 8 km outside the nature reserve where human activities have transformed the pine-hardwood forests into hardwood forests. 2. Materials and methods 2.1. The LANDIS model LANDIS is a spatially explicit succession and disturbance model based on rasters that grid the study area into cells. Each raster unit or cell is a spatial object that tracks: (1) the presence or absence of age cohorts of individual species in a binary format, (2) fuel levels based on fuel accumulation and decomposition characteristics, (3) mean fire/wind return interval, (4) the time since last fire/wind/harvest disturbance, and (5) species establishment ability in particular environments. At a site scale, species birth, growth, death, regeneration, random mortality, and vegetative reproduction are simulated at 10 year time steps for each cell. At a landscape scale, seed dispersal, disturbances, and forest harvesting are simulated each time-step as well. To simulate heterogeneous landscapes, ecoregions derived from climate and soil GIS data layers can be used to stratify the landscape (He et al., 1998). At a given focal resolution such as within each ecoregion, environmental variables such as climate and soils are assumed homogeneous, as are some characteristics such as mean fire return intervals, fuel decomposition rates, and species establishment (Mladenoff and He, 1999; He et al., 1999b). The species/age cohort information can be derived from classified satellite imagery integrated with forest inventory data (see description of input data). Currently LANDIS simulates four spatial processes: fire, windthrow, seed dispersal, and harvesting (Mladenoff and He, 1999; He and Mladenoff, 1999a; Gustafson et al., 2000). Fire and windthrow disturbances are stochastic processes based on the probability distributions of mean disturbance return intervals and mean disturbance sizes characterized for various ecoregions (He and Mladenoff, 1999a). For example, fire in certain ecoregions is more frequent than in others. In the LANDIS fire module, small, young trees are more susceptible to damage than large, older trees. LANDIS simulates five levels of fire intensity from ground fires to crown fires. The intensity is determined by the time since the last fire on each site, a surrogate for the amount of fuel accumulation. Correspondingly, tree species are grouped into five fire-tolerance classes. Fire severity is the interaction of susceptibility based on species age classes, species fire tolerance, and fire intensity (He and Mladenoff, 1999a). In the LANDIS wind module, the probability of windthrow mortality increases with tree age and H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 size. Windthrow events interact with fire disturbance by increasing the potential fire intensity class at a site due to increased fuel load. In general, windthrow becomes more important on mesic landtypes with longer-lived species, and where fire frequency is low (Mladenoff and He, 1999). However, the probability of windthrow disturbance is often related to the local variables including climate and landform. LANDIS simulates seed dispersal in a spatially explicit manner. Seed dispersal probability is modeled using an exponential distribution in which for each species the effective and maximum dispersal distances control the shape of seedling distribution (He and Mladenoff, 1999b). Species establishment is simulated by using the species establishment coefficient (0 /1), which quantifies how different environmental conditions favor or inhibit the establishment of a particular species (He et al., 1999a). Species with high establishment coefficients have higher probabilities of establishment. The establishment coefficient for a given species may vary from one landtype to another. These coefficients which are provided as input to LANDIS are derived either from the simulation results of a gap model (He et al., 1999a) such as LINKAGES (Pastor and Post, 1985; Post and Pastor, 1996), or from estimates based on existing experimental or empirical studies (Shifley et al., 2000). Parameterizing LANDIS, which was initially developed for the northern Lake States, for Changbai Nature Reserve is a significant efforts, involving spatial data processing using GIS and remote sensing techniques, compilation of existing data at the ecosystem levels, and consultation with local experts (see the Section 2.2). 2.2. LANDIS input data for Changbai nature reserve 2.2.1. Species attributes and forest composition map In LANDIS succession and dispersal are driven by species vital attributes. We selected 12 of the most common tree species and compiled the vital attributes for each of them (Table 1) based upon existing studies in the reserve (Wang et al., 1980; 157 Xu, 1992). Recently, Shao et al. (1996) used remote sensing techniques and created a map describing the distribution and spatial pattern of the major forest cover types in the reserve and its surrounding area. Using a data integration approach described in He et al. (1998), we combined the dominant forest types data from remote sensing with existing field data describing species/ age cohort distribution to derive a forest composition map that contains individual species/age class distribution for the study area (e.g. Fig. 2). To reduce computational loads during model simulations, the forest composition map was specified at 100/100 m resolution, which yielded 960 rows / 647 columns. 2.2.2. Landtype map and species establishment coefficients The reserve and its surrounding area was delineated into small land units based on existing land cover, elevation, and landform data under Arc/Info GIS (Fig. 1). These units were classified into landtypes based upon the similarity of the above variables. On each landtype, biomass of each species was simulated using a gap model, LINKAGES (Pastor and Post, 1985). LINKAGES integrates environmental variables such as climate (monthly temperature and precipitation) and soil (C, N and water) with ecological processes such as competition, succession, and water and nutrient cycling. The simulated biomass from the LINKAGES model was used to quantify the environment suitability for each species (Hao et al., 2001). This result was used to derive establishment coefficients using the method described in (He et al., 1999b). 2.2.3. Disturbance data Fire and windthrow are two natural disturbances in the reserve. Mean fire return intervals are substantially altered due to the extensive fire suppression efforts. They only occur in small patches (B/0.5 ha) with mean patch size /1.0 ha. Mean return interval is estimated at 800 years in the mixed Korean pine hardwood and hardwood landtypes and 1000 years on the other landtypes listed above. There was a recent windthrow event in 1987 that damaged about 25 km2 of forest. 158 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 Table 1 Species life history parameters for Changbai nature reserve Name Abbreviation Long MTR ST FT ED MD VP MVP Abies nephrolepis Acer mono Betula armanii Betula platyphylla Fraxinus mandshurica Larix olgensis Picea jezoensis Pinus koraiensis Populus davidiana Quercus mongolica Tilia amuresis Ulmus propinqua ABNE ACMO BEAR BEPL FRMA LAO PIJE PIKO PODA QUMO TIAM ULPR 200 200 200 150 300 300 300 400 150 350 300 250 30 30 30 20 30 30 30 40 30 40 30 30 5 4 1 1 4 2 4 4 2 2 4 3 5 3 2 1 2 5 4 4 1 3 2 3 20 100 100 200 50 100 50 50 /1 20 50 300 100 200 300 4000 150 400 150 100 /1 200 100 1000 0 0.3 0.5 0.8 0.1 0 0 0 1 0.9 0.1 0.7 0 60 60 50 80 0 0 0 0 60 60 60 Long, longevity (year); MTR, age of maturity (year); ST, shade tolerance class; FT, fire tolerance class; ED, effective seeding distance (m); MD, maximum seeding distance (m); VP, vegetative reproduction probability; MVP, minimum age of vegetative reproduction (year). Windthrow, however, is also not frequent with a mean return interval of 1000 years and its effects are secondary to fire in terms of altering spatial pattern and species compositions. Therefore, it is not simulated in this study. Mladenoff, 1999a). Results from the simulation were summarized as either % cover of the study area or land units. 3. Results 2.3. Simulation scenario We started with the realistically parameterized forest composition and landtype maps with species/age classes that represent the initial status of 1990s. Then the entire study area was simulated for 300 years (up to year 2290) and we examined species composition, age structure, and spatial distributions of all 12 species. Forest harvesting was not simulated because our objective was to examine the natural successional trajectories of the main dominant species. In addition, harvesting is not allowed in the reserve. In this simulation scenario, model replications were not used because the major stochastic component, fire, is infrequent and is not the dominant factor altering species composition and shaping landscape patterns in the study area. Environmental constrains, and the non-stochastic factors, plays greater roles than the stochastic factors of natural disturbance. Starting with the same forest composition map and all other model parameters, replication runs will not have noticeable variations (He and 3.1. Simulated species distribution and abundance in the study area Mountain birch is the dominant species in alpine forest, it occurs between 1700 and 2000 m, surrounding the bare rock and volcanic lake on the top of the mountain and the other mountain peak in the southwestern area of the reserve (Fig. 2). Starting in 1990s, mountain birch has three major age groups, 190 (40%), 160 (7%), and 110 (50%). All of them reach their mean longevity of 200 years before 2090. Regeneration does not appear to be a problem for mountain birch reserve-wide. Abundance data across 300 years suggests that mountain birch maintain a relatively stable 7/8% of the study area (Fig. 3b). By 2090, second generation of mountain birch reaches 90, 60, and 10 years old and this cycle continues. At year 2290, age classes of mountain birch are diversified, in the ranges of 10 /60 (35%), 100 / 130 (20%), and 160 /190 (30%) years. Simulation H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 Fig. 2. Snapshot of simulated distributions and age classes of mountain birch, spruce, fir, Korean pine, aspen, and maple at years 1990, 2090, 2290. Other species are not mapped due to the limitation of the color plate. However, the distribution of birch forest is similar to aspen and most other broad-leaf species are similar to maple. Refer to Table 1 for species name abbreviations. 159 160 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 Fig. 3. Simulated 12 major tree species abundance in percent cover over of the study area over 300 years (1990s /2290s). Refer to Table 1 for species name abbreviations. results indicate that its distribution remains relatively unchanged over the next 300 years. Spruce and fir are the dominant species from 1100 to 1700 m. Spruce has a wider distribution than fir, overlapping some of the area of larch forest primarily on the North Korea side of the reserve and some mountain birch forest surrounding the southwestern peak of the reserve (Fig. 2). Trajectory of percent cover for spruce suggests that its abundance increase significantly, from 12 to 26% of the study area. Such increases, however, largely occur to its current distribution areas. In year 1990s, majority of spruce is around 140 years old with some older stands around 190 and younger stands between 30 and 50 (Fig. 2). In 2090s, spruce of 240 years old dominates in the typical spruce-fir forest. Spruce from North Korea side of the reserve is gaining in abundance over larch as we observe a simultaneous decrease of larch reserve-wide from 2070 to 2110 (Fig. 3a). This decrease is due to the existing age structure of larch, which climbs back gradually to its 1990s level in about 100 years (Fig. 3a). At year 2290, the first generation of spruce in the spruce-fir landtype have reached longevity and died, and the new generation once again reached 140 years. The age structure of spruce in the reserve is much more diversified than in 1990s (Fig. 2). Fir, on the other hand, experiences a slight and gradual decline throughout the next 300 years. As the most shade tolerant species with relatively poor seeding viability, fir in this area begins with about 12% in percent cover in 1990s and slides to about 9% in 2290s (Fig. 3a). Korean pine is widely distributed below 1100 m and mixed with hardwood species such as maple, elm, and ash. With an average longevity of 400 year and relatively high shade tolerance, Korean pine dominated the region from 500 to 1200 m and was the primary timber sources throughout northeastern China. It is now largely removed from landtypes of the lower elevations (e.g. landtype 14) (Figs. 1 and 2). In 1990s, Korean pine occurs on only about 7% of the study area surrounding spruce-fir forests. From 1990s to 2290s simulation result shows a dramatic increase of Korean pines in abundance (Fig. 3a). Such increases, however, largely occur to the areas where Korean pine already exists and the seed sources are abundant. In year 1990s, the dominant age classes are 80 and 150/200 years. By year 2090s, these Korean pines turns 180, 250/300 years old, while younger age classes between 10 and 100 years increase. At year 2090, Korean pine is also seen spreading towards the hardwood landtypes where they dominated before the forest harvesting. The establishment process is slow and shown primarily along the edges of established Korean pine patches (Fig. 2). By year 2290, Korean pine is simulated to occur on about 1/3 of the area of the landtypes where it can dominate. Its percent cover grows to about 28% of the study area (Fig. 3a). Hardwood forests occur mostly in low elevations (e.g. B/700 m). Typically after the mixed Korean pine forests are removed, aspen-birch forest regenerate. This is most common on the western and northwestern landtypes where 30 /40 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 years old aspen-birch forests are abundant. These early successional species increase in abundance quickly (Fig. 3c) from about 5% of the study area in 1990s to 16% (for birch) and 22% (for aspen) of the study area in 2050s. However, their abundance decrease as mid and late successional species such as basswood, ash, maple and Korean pine reestablish (Fig. 3a/c). Aspen has the highest percent cover around year 2090 with majority of pixels reaching an age of 140 years old. In 2290s, the overall age of aspen decrease and its age classes also diversified because of mortality related to longevity (Fig. 2). Similar to Korean pine, the abundance of maple also increases substantially, from 3 to 14% of the study area largely within its current area and is seen expanding to the lower adjacent landtypes succeeding aspen and birchdominated areas (Fig. 2). Unlike mountain birch and the coniferous species that respond to environmental gradients, hardwood species such as birch and aspen respond to both fire disturbance and forest cutting strongly. From age class distributions of all the studied species except mountain birch, the effects of natural disturbance can be observed. These can be seen as small and young patches created by fire nested within old patches (Fig. 2). Due to the fire suppression and long mean return interval for both fire and windthrow, these natural disturbances are not significant in altering species composition and spatial pattern in the study area. 3.2. Variations within forest types along the northern slope Results on four land units along northern slope show greater differences in detail and variation of species composition than within the other major forest types. These four land units are the typical of sub-alpine (land unit 3.1), spruce-fir (land unit 4.3), mixed Korean pine hardwood (land unit 5.1), and hardwood forests (land unit 14). In land unit 3.1, mountain birch, instead of maintaining a stable abundance reserve-wide (Fig. 3b), shows a dramatic decline after the majority of mountain birch on the land unit reaches its longevity around year 2100, it will likely be replaced by a steady increase of larch (Fig. 4a). In land unit 161 Fig. 4. Simulated major tree species abundance in percent cover of four land units. Refer to Table 1 for species name abbreviations. 4.3, we see a substantial increase of spruce in the first four decades and relatively stable abundance for the remaining 250 years. Such a trend is different from what is seen for spruce on the entire study area where a steady increase is predicted only until year 2250. The trajectories of fir and larch in this land unit are similar to that of the study area (Figs. 3 and 4). In general, species composition in land unit 4.3 remains relatively stable at a quasi-equilibrium status. This result is consistent with studies on this forest type (Zhao, 1980; Li and Deng, 1981). Results derived in the mixed Korean pine-hardwood land unit and hardwood land unit also reflect the trends found at the entire study area, but with greater variations (Figs. 3 and 4). This is because both hardwood species and Korean pine predominately occur on these 162 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 two land units. The results indicate a steady increase in Korean pine, maple, and elm, and a decline in oak. Early successional species such as aspen and birch show more periodic dynamic with their abundance decreasing after year 2150 as the abundance of mid to late succession species increase. period (Fig. 3). The P /A ratio of Korean pine shows a consistent increase throughout 300 years indicating a less aggregated distribution. This is because Korean pines are found expanding to regions of lower elevation. The interspersion of Korean pine with hardwood species results in abundant edges and complicated shapes (Fig. 2). 3.3. Spatial pattern of dominant tree species 4. Discussions To quantify the spatial pattern of dominant tree species, we measured perimeter/area ratio (P/A ) using a landscape statistical software, APACK (Mladenoff and Dezonia, 1997). Higher P /A values usually indicate complicated perimeters surrounding small areas, and, therefore, lower degrees of aggregation. Relatively small variations in P /A measurements are observed with P /A values falling between 0.10 and 0.13 (Fig. 5). This is because these dominant tree species are distributed largely following the environmental gradients such as elevation in Changbai area. Fir has the lowest variation in P /A ratio, comparable to its stable percent cover. The distribution and abundance of fir remain fairly consistent throughout the simulation. P /A values for spruce have relatively high variation and this also corresponds to its’ percent cover and distribution. The decrease in P /A (as low as near 0.1) from 1990 to 2090 indicates a more aggregated distribution resulting from an increase in its percent cover during this 4.1. Result validations Fig. 5. P /A ratios for dominant tree species. Higher P /A ratios usually indicate complicated (long) perimeters surrounding small areas, and, therefore, lower degrees of aggregation. Refer to Table 1 for species name abbreviations. A significant challenge facing spatially explicit forest landscape models is how to validate the simulation results. Validation in the traditional sense involves using independent data at a given time and space to check against model predictions for that time and space. However, landscape models such as the one presented in this study derive results for a large landscape, over a long period of time and since landscapes are not spatially replicable and the temporal dimensions of the model simulation often go beyond the experimental and field observations collected (Turner et al., 2001). Model validation in the traditional sense (Rykiel, 1996) is not applicable for spatially explicit landscape models. Furthermore, a goodness-of-fit simulation results to one particular realization of data for the real system may not indicate the same fits to other possible realizations of the same real system (Loehle, 1997). Loehle (1997) proposed a hypothesis-testing framework for evaluating ecosystem models. This framework emphasizes biological and ecological realism in addition to the typical model evaluating techniques. LANDIS has been subjected to typical model evaluation procedures (e.g. O’Neill et al., 1980; Gardner et al., 1981; Warwick and Cale, 1988; Turner et al., 1994; Loehle, 1997) including sensitivity analysis, uncertainty analysis, and structural analysis (Mladenoff and He, 1999; He and Mladenoff, 1999a). It has been widely validated against many different settings of species and environments. The model provided scientifically acceptable explanations of the cause /effect relationships among included parameters in many H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 applications (He and Mladenoff, 1999a; Shifley et al., 1997, 2000; Franklin et al., 2001). While typical model evaluation techniques such as sensitivity and uncertainty analysis provide insights on model parameterization and result variations, they do not necessarily prove the validity of the simulation results. Thus, validation efforts in this study are focused on the concept of ecological realism of LANDIS simulation results. 4.1.1. Realism of species distribution In relatively undisturbed natural area, environmental factors such as climate, soil, and landform dictate landtype boundaries that usually closely observed by vegetation types. Therefore, change of vegetation boundaries is unlikely when these environmental variables are held constant in this simulation. Our results indicate that the distribution of each species conforms to the ecological realism in this region. For example, mountain birch is predominately found in areas between 1700 and 2000 m, spruce-fir, in general, stay within their landtype boundaries, Korean pine and some hardwood species such as maple expand and establish towards the landtypes from which they were previously removed. These results are not predetermined in the model and the model did not have any barrier for these species to seed up or down slope. Rather, competition, succession, dispersal, and establishment processes simulated by the LANDIS model realistically simulated species distributions that are consistent with our understanding of how these species function in this landscape (Wang et al., 1980; Li and Deng, 1981; Xu, 1992). 4.1.2. Realism of species composition For each of the major forest types, our results show species compositions consistent with our expectations. For examples, sub-alpine forest type has relatively low species diversity (Qian and Zhang, 1980; Liu et al., 1992; Chen and Feng, 1985) and our simulation resulted in the species compositions of mountain birch and larch with no other species presence. On spruce-fir forest type, our results indicated that highest average abundance for spruce (58%) followed by fir (38%) and larch (28%). Korean pine and mountain birch 163 cover only 0.7 and 1.7% of this land unit. These results agree with several ecosystem-level studies (Wang et al., 1980; Li and Deng, 1981; Li et al., 1994). For mixed Korean pine hardwood type, the species with the highest abundance is Korean pine (55%). Hardwood species includes basswood (41%), maple (32%), and ash (31%), oak (14%), aspen (9%). This result is also supported by ecosystem-level studies (Wang et al., 1980; Shao et al., 1994). Results of age class dynamics presented for each species also falls in the correct ranges reflecting the expected successional cycles of each species. 4.2. Result implications Forest landscape change driven by the natural factors is a gradual process. Direct and indirect human impact may produce long-term alterations to forest landscape patch structure that persist for decades to centuries. Our results show that even with complete natural succession over 300 years, Korean pine recovers only on 1/3 of the area on the landtypes it used to dominate. A full recovery would take another 200/300 years. The results again show that humans can alter a forest landscape in a few decades creating effects that can take hundreds of years from which to recover. Landscape-scale recovery is often limited by the available seed sources and this is particularly true for Korean pines in this region also shown by a separate study (Shao et al., 1994). Seed dispersal generally occurs through time and within the radii defined by species effective and maximum seeding distances (He and Mladenoff, 1999b). If the seed source is absent in the area, it will need to wait until the seedlings arrive, establish, and mature. The establishment process can be slow as shown for Korean pines, with the establishing patches occurring around the mature patches and encroaching into areas where Korean pine can establish (Fig. 2). A forest harvesting plan which preserves seed trees such as residual or shelterwood cutting (Gustafson et al., 2000) or other landscape scale restoration efforts such as seedling planting may shorten the natural recovery process as discussed elsewhere (Radeloff et al., 2000). 164 H.S. He et al. / Ecological Modelling 156 (2002) 153 /166 Landscape equilibrium (Turner et al., 1993; Baker, 1989) is dependent on landscape heterogeneity, landscape extent, and time scales. In this heterogeneous system, equilibrium in landscape structure and composition is approached on the larger landtypes dominated by shade tolerant species, but not on landtypes altered by human, at the scales simulated. Such equilibrium is seen for the spruce-fir, mountain birch, and larch forests and not seen for the aspen-birch forests that show much greater variation through time. Results for the long-term simulation suggest that temporal variations cannot be captured by shortterm experiments. The trajectories of species succession at a given time are related to the successional stage that operates at temporal scales of decades even to hundreds of years. In addition, results derived for a given land unit often have greater variations and may not capture the trends of the entire study area. 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