SPATIAL OCCURRENCE OF A HABITAT-TRACKING SAPROXYLIC BEETLE INHABITING A MANAGED FOREST LANDSCAPE

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Ecological Applications, 17(3), 2007, pp. 900–909 Ó 2007 by the Ecological Society of America SPATIAL OCCURRENCE OF A HABITAT-TRACKING SAPROXYLIC BEETLE INHABITING A MANAGED FOREST LANDSCAPE L. MARTIN SCHROEDER, 1 THOMAS RANIUS,BARBARA EKBOM, AND STIG LARSSON Swedish University of Agricultural Sciences, Department of Entomology, P.O. Box 7044, SE-750 07 Uppsala, Sweden Abstract. Because of the dynamic nature of many managed habitats, proper evaluation of conservation efforts calls for models that take into account both spatial and temporal habitat dynamics. We develop a metapopulation model for successional-type systems, in which habitat quality changes over time in a predictable fashion. The occupancy and recruitment of the predatory saproxylic (dependent on dead wood) beetle Harminius undulatus was studied in a managed boreal forest landscape, covering 24 449 ha, in central Sweden. In a first step, we analyzed the beetle’s occupancy pattern in relation to stand characteristics, and the amounts of present and past habitat in the surrounding landscape. Managed forest is suitable habitat when 60 years old, and immediately after cutting, but not between the ages of 10 and 60 years. The observed occupancy of H. undulatus was positively correlated with the stand’s age as habitat. We used a metapopulation model to predict the current probability of occurrence in each forest stand, given the spatiotemporal distribution of suitable forest stands during the last 50 years. Metapopulation parameters were estimated by matching predicted spatial distributions with observed spatial distributions. The model predicted observed spatial distributions better than a similar model that assumed constant habitat quality of each forest stand. Thus, metapopulation models for successional-type systems, such as dead wood dependent organisms in managed forest landscapes, should include habitat dynamics. An estimated 82% of the landscape-wide recruitment took place in managed stands, which covered 87% of the forest area, in comparison with 18% in unmanaged stands, which covered 13% of the forest area. Among the managed stand types, 60-year-old stands and 3–7-year- old clear-cuttings contributed to 79% of the total recruitment while 8–59-year-old stands only contributed 3%. The results suggest the following guidelines to improve conditions for H. undulatus and other species with similar habitat requirements: (1) the proportion of the landscape constituted by younger stands should not be allowed to grow too large, (2) the rotation period of managed stands should not be allowed to be too short, and (3) dead wood should be retained and created at final cutting. Key words: habitat-tracking metapopulation; Harminius undulatus; incidence function model; landscape-wide recruitment; modeling; occupancy pattern; saproxylic beetle. INTRODUCTION The metapopulation concept provides a theoretical basis for studies of population dynamics in spatially structured habitats (Hanski and Gaggiotti 2004). In classical metapopulation models, the spatial structure of the habitat is considered, but no temporal changes of the habitat are taken into account (e.g., Hanski 1994). It has been argued, however, that in many cases metapopula- tion dynamics are strongly affected by the process of destruction and creation of habitat patches (Thomas 1994). Such metapopulations are referred to as habitat tracking (Harrison and Taylor 1997) because the populations track the habitat when they colonize newly generated habitat patches and become extinct in patches that deteriorate. Incorporating habitat dynamics in metapopulation models may have a large impact on metapopulation persistence (Keymer et al. 2000, Akc¸a- kaya et al. 2004, Bergman and Kindvall 2004). Thus, models that take habitat dynamics into account are useful tools for proper evaluation of conservation efforts performed in dynamic landscapes (Stelter et al. 1997, Wahlberg et al. 2002, Biedermann 2004, Verheyen et al. 2004, Akc¸akaya et al. 2005, Sna¨ll et al. 2005). Boreal forest landscapes in Fennoscandia are typically managed by clear-cutting and consist of a mosaic of stands of different ages (Esseen et al. 1997). Within each managed stand, tree age is similar. When the stands are mature they are harvested, and a new stand is regenerated. Thus, each successional stage (e.g., clear- cut, young stand, and mature stand) persists for only a limited period of time. The availability of coarse woody debris (CWD) in managed stands is strongly linked to stand age (Fridman and Walheim 2000, Ranius et al. 2003). During the first years after clear-cutting, CWD is found in stands as remnants from the harvested mature stands as well as CWD deliberately left for biodiversity conservation. Gradually, CWD decays and disappears Manuscript received 18 January 2006; revised 7 September 2006; accepted 3 October 2006. Corresponding Editor: D. L. Peterson. 1 E-mail: [email protected] 900

Transcript of SPATIAL OCCURRENCE OF A HABITAT-TRACKING SAPROXYLIC BEETLE INHABITING A MANAGED FOREST LANDSCAPE

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Ecological Applications, 17(3), 2007, pp. 900–909� 2007 by the Ecological Society of America

SPATIAL OCCURRENCE OF A HABITAT-TRACKING SAPROXYLICBEETLE INHABITING A MANAGED FOREST LANDSCAPE

L. MARTIN SCHROEDER,1 THOMAS RANIUS, BARBARA EKBOM, AND STIG LARSSON

Swedish University of Agricultural Sciences, Department of Entomology, P.O. Box 7044, SE-750 07 Uppsala, Sweden

Abstract. Because of the dynamic nature of many managed habitats, proper evaluation ofconservation efforts calls for models that take into account both spatial and temporal habitatdynamics. We develop a metapopulation model for successional-type systems, in whichhabitat quality changes over time in a predictable fashion. The occupancy and recruitment ofthe predatory saproxylic (dependent on dead wood) beetle Harminius undulatus was studied ina managed boreal forest landscape, covering 24 449 ha, in central Sweden. In a first step, weanalyzed the beetle’s occupancy pattern in relation to stand characteristics, and the amountsof present and past habitat in the surrounding landscape. Managed forest is suitable habitatwhen �60 years old, and immediately after cutting, but not between the ages of 10 and 60years. The observed occupancy of H. undulatus was positively correlated with the stand’s ageas habitat. We used a metapopulation model to predict the current probability of occurrencein each forest stand, given the spatiotemporal distribution of suitable forest stands during thelast 50 years. Metapopulation parameters were estimated by matching predicted spatialdistributions with observed spatial distributions. The model predicted observed spatialdistributions better than a similar model that assumed constant habitat quality of each foreststand. Thus, metapopulation models for successional-type systems, such as dead wooddependent organisms in managed forest landscapes, should include habitat dynamics. Anestimated 82% of the landscape-wide recruitment took place in managed stands, whichcovered 87% of the forest area, in comparison with 18% in unmanaged stands, which covered13% of the forest area. Among the managed stand types, �60-year-old stands and 3–7-year-old clear-cuttings contributed to 79% of the total recruitment while 8–59-year-old stands onlycontributed 3%. The results suggest the following guidelines to improve conditions for H.undulatus and other species with similar habitat requirements: (1) the proportion of thelandscape constituted by younger stands should not be allowed to grow too large, (2) therotation period of managed stands should not be allowed to be too short, and (3) dead woodshould be retained and created at final cutting.

Key words: habitat-tracking metapopulation; Harminius undulatus; incidence function model;landscape-wide recruitment; modeling; occupancy pattern; saproxylic beetle.

INTRODUCTION

The metapopulation concept provides a theoretical

basis for studies of population dynamics in spatially

structured habitats (Hanski and Gaggiotti 2004). In

classical metapopulation models, the spatial structure of

the habitat is considered, but no temporal changes of the

habitat are taken into account (e.g., Hanski 1994). It has

been argued, however, that in many cases metapopula-

tion dynamics are strongly affected by the process of

destruction and creation of habitat patches (Thomas

1994). Such metapopulations are referred to as habitat

tracking (Harrison and Taylor 1997) because the

populations track the habitat when they colonize newly

generated habitat patches and become extinct in patches

that deteriorate. Incorporating habitat dynamics in

metapopulation models may have a large impact on

metapopulation persistence (Keymer et al. 2000, Akca-

kaya et al. 2004, Bergman and Kindvall 2004). Thus,

models that take habitat dynamics into account are

useful tools for proper evaluation of conservation efforts

performed in dynamic landscapes (Stelter et al. 1997,

Wahlberg et al. 2002, Biedermann 2004, Verheyen et al.

2004, Akcakaya et al. 2005, Snall et al. 2005).

Boreal forest landscapes in Fennoscandia are typically

managed by clear-cutting and consist of a mosaic of

stands of different ages (Esseen et al. 1997). Within each

managed stand, tree age is similar. When the stands are

mature they are harvested, and a new stand is

regenerated. Thus, each successional stage (e.g., clear-

cut, young stand, and mature stand) persists for only a

limited period of time. The availability of coarse woody

debris (CWD) in managed stands is strongly linked to

stand age (Fridman and Walheim 2000, Ranius et al.

2003). During the first years after clear-cutting, CWD is

found in stands as remnants from the harvested mature

stands as well as CWD deliberately left for biodiversity

conservation. Gradually, CWD decays and disappears

Manuscript received 18 January 2006; revised 7 September2006; accepted 3 October 2006. Corresponding Editor: D. L.Peterson.

1 E-mail: [email protected]

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causing a scarcity of CWD when the forest is 20–60

years old. Thereafter, the amount of CWD increases

continuously until final cutting (Fridman and Walheim

2000, Ranius et al. 2003). This pattern is even more

pronounced for CWD that is still covered by bark

(Ekbom et al. 2006). In addition to managed stands,

some unmanaged stands may also be present in

managed forest landscapes. The amount of CWD is

higher in these stands than in managed stands (Fridman

and Walheim 2000). In Fennoscandia, the proportion of

the forest land left unmanaged is generally very small

(National Board of Forestry 2004). Organisms depen-

dent on CWD will be compelled to either rely solely on

the small proportion of unmanaged stands or be able to

track new habitat patches (that might arise when the

forest stand is about 60 years old) to compensate for

extinctions in stands following final cutting. Conse-

quently, the concept of habitat-tracking metapopula-

tions may be useful to describe the dynamics of species

inhabiting CWD in managed forest landscapes.

The occurrence pattern of species inhabiting a

dynamic forest landscape is expected to be related not

only to the current spatial structure of their habitat, but

also to the history of spatial structure change because

populations do not respond immediately to landscape

changes (Tilman et al. 1994, Hanski 1999, Ovaskainen

and Hanski 2002). When studying the dynamics of a

habitat-tracking metapopulation, long-term large-scale

experiments would provide the most reliable results.

However, such experiments are very expensive, and the

delay in obtaining results is long. An alternative is to use

occupancy data from snapshot studies in combination

with information about the historical distribution of

habitat (e.g., Snall et al. 2004, Verheyen et al. 2004).

In this study, we assessed the occupancy and

recruitment patterns of the CWD-dependent beetle

Harminius undulatus (De Geer) (Coleoptera: Elateridae)

in one 24 449-ha managed forest landscape in central

Sweden. We related its occupancy to attributes of

individual forest stands and to the spatiotemporal

distribution of habitat in the landscape. The investigated

stand attributes included variables that reflect habitat

quality and stand history. The landscape variables

reflected current and past density and distribution of

habitat in the landscape. We developed a metapopula-

tion model for successional-type systems, in which

habitat quality changed over time in a predictable

fashion. We used this metapopulation model to predict

the current probability of occurrence in each forest

stand. Metapopulation parameters were estimated by

matching predicted spatial distributions with observed

spatial distributions. We compared the observed occur-

rence pattern with the outcome from this model, and

also with a model assuming constant habitat quality of

each forest stand. This was done to test whether a

habitat-tracking model is superior to a static model in

describing this system. Harminius undulatus was chosen

for the study because (1) it shares its unspecific habitat

requirements regarding tree species with many other

beetle species dependent on CWD (Dahlberg andStokland 2004), and (2) it is a species at risk of declining

in the future and therefore can serve as a model for otherthreatened CWD-dependent organisms.

The aims of this study were (1) to determine theimportance of stand and landscape attributes for the

stand occupancy of H. undulatus in a managed forestlandscape, (2) to test if a habitat-tracking metapopula-tion model can help explain the current pattern of H.

undulatus occurrence, and (3) to estimate the relativeimportance of different kinds of forest stands for the

recruitment of H. undulatus across large landscapes.

MATERIALS AND METHODS

Harminius undulatus

The larva of H. undulatus is predatory and lives under

bark of dead wood. No specific tree species seem to befavored (Nilsson and Baranowski 1996, Dahlberg and

Stokland 2004). Developmental time has been reportedto be four years (Laibner 2000), but no reference as to

the source of this statement is provided. In Sweden, thespecies pupates in June, and adults occur in June andJuly (Palm 1946). Harminius undulatus has a wide

geographical distribution in northern Europe, Asia,and North America (Laibner 2000). In Sweden, the

species has been found in only a few localities in thesouth, whereas it becomes more common toward the

north (Lundberg 1995, Nilsson and Baranowski 1996,Gardenfors 2000). It has been suggested that H.

undulatus has become rare in southern Sweden due tothe dramatic decrease in suitable habitats in the forest

landscape in the 18th and 19th century (Nilsson andBaranowski 1996). It is likely that the clear-cutting of

forests in central and northern Sweden will similarlyresult in decreased H. undulatus populations there.

Nevertheless, at present the species still occurs in anumber of the forest stands in our study landscape,

which makes an analysis of its occurrence patternpossible.

Study landscape

The study was conducted in central Sweden during the

summers of 2001–2003. The study area is situated in thecentral boreal region in the province of Halsingland

close to Delsbo (628 N, 168 E) about 40 km southwest ofSundsvall. One large block of land (hereafter denoted

landscape) owned by the forest company Holmen SkogAB was used for the study. The size of the landscape is

24 449 ha of which 20 294 ha consists of productiveforest land (wood production � 1 m3�ha�1�yr�1). Theremaining area is covered by lakes, mires, agriculturalland, and unproductive forest land (wood production ,

1 m3�ha�1�yr�1, i.e., mainly wooded mires and rockyoutcrops). Unproductive forests were estimated to cover701 ha, i.e., 2.9% of the landscape. These were not

included in the sampling, because no forest data wereavailable. This should not have influenced the results

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because the amount of CWD is low in this type of

habitat (Gessler 1998). The landscape is typical of the

Swedish boreal region with Scots pine (Pinus sylvestris

L.) and Norway spruce (Picea abies (L.) Karsten) the

dominant tree species. Birch (Betula pendula Roth. and

B. pubescens Ehrh.) and aspen (Populus tremula L.) are

the most common deciduous tree species, but in

managed stands they rarely constitute more than a

small proportion of the standing volume. Because

Holmen Skog AB is certified since 1998 according to

FSC (Forest Stewardship Council) guidelines, the forest

is currently managed using methods developed to

preserve biodiversity (guidelines available online).2 These

practices include green-tree retention and creation of

high stumps at final cuttings. Using logging machinery,

3–5 m high stumps are left standing when live trees are

cut. At present, an average of 1.2 high stumps/ha are

created (Schroeder et al. 2006) and 40 living trees per ha

are retained at final cuttings in this landscape (O. Karen,

personal communication).

Selection of stands to be sampled

The forest land of the landscape was stratified into

seven stand categories based on stand age and manage-

ment (Table 1). The first two categories, 0–2 years and

3–7 years, represent clear-cuts on which creation of high

stumps and green-tree retention have been practiced at

final cutting. Older clear-cuts, 8–14 years, were cut

before these practices were adopted. In young stands,

15–59 years, recruitment of CWD has generally not yet

begun because tree mortality is low at these ages (Ranius

et al. 2003). Furthermore, in many of the young stands

tree diameter is ,10 cm. In stands �60 years,

recruitment of CWD has started. Set-asides are stands

that have been excluded from management but have no

legal protection. Reserves are legally protected forest

areas owned by the state.

In each category, except reserves, stands locatedthroughout the landscape were randomly sampled

(Table 1). No stands were sampled in the first category,

0–2 years, because CWD created at cutting was not oldenough to be colonized by H. undulatus. The largest

sampling effort was directed toward the 3–7 years old

clear-cuts, i.e., the stands where CWD had been createdas a result of adoption of FSC guidelines. The

probability for selection was proportional to the areaof the stand. All three nature reserves located in the

study landscape were sampled. Because the reserves were

larger than managed stands the reserves were dividedinto sub-areas (denoted stands). The two largest

(Stensjon och Lomtjarn, 427 ha; Hagasen, 242 ha) were

divided into six sub-areas of approximately equal sizeand the smallest (Flottholjan, 82 ha) was divided into

two sub-areas. The areas given for the reserves include

only forest land. In each chosen stand, amounts ofCWD and occurrence of H. undulatus were estimated.

Sampling of bark on CWD

Sampling of logs (downed CWD) was carried out

using the line intersect sampling method (Marshall et al.

2000). Four randomly selected transects of 100 m (twoeast–west and two north–south) were sampled in each

stand. The same transects were used to delimit sampling

plots for snags (standing CWD). The plot extended 10 mon each side of the transect forming a 20 3 100 m

rectangle (0.2 ha). Logs were included if the diameter atthe line intersect was at least 10 cm for conifers, and 7 cm

for deciduous trees. Snags were included if the diameter

at 1.3 m (dbh) was at least 10 cm and if the length was atleast 0.5 m. The following information was recorded for

every object: (1) classification as snag or log, (2) intact or

broken/cut snag, (3) diameter (at transect line for logsand at breast height for snags), (4) height of snag, (5) tree

species, (6) proportion of surface area covered by bark,

and (7) decay class. For standing objects shorter than 1.3m, the top diameter was measured. For a more detailed

description of CWD estimation and results see Ekbom et

al. (2006). The classification into decay classes was based

TABLE 1. Composition of the landscape at Delsbo, central Sweden, number of stands sampled forHarminius undulatus, and CWDbark area (decay class 2–3) for each of the different stand categories.

Stand category No. stands Area (ha) No. sampled stands Bark area (m2/ha)

Managed forest

0–2 years 20 343 � �3–7 years 47 666 20 88.808–14 years 82 1744 10 2.1515–59 years 796 9459 11 8.80�60 years 853 5411 28 85.60

Unmanaged forest

Set asides 375 1920 9 176.90Reserves 14 751 7 166.90

Sum of forest 2176 20 294 85Non-forest 4155Entire landscape 24 449

Note: Estimates of bark area are from Ekbom et al. (2006); CWD is coarse woody debris.� This stand category was not sampled.

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on the hardness of the wood. We used the same

classification system as Siitonen and Saaristo (2000),

i.e., six categories where decay class one is fresh wood

and six is late decay.

The area of bark on single snags was calculated by

using the formula for area of a cone multiplied by the

proportion of remaining bark. Surface area of logs was

estimated by modifying the formula for ‘‘total projected

area’’ (Marshall et al. 2000) by replacing diameter with

circumference. Surface area for each object was multi-

plied by the proportion of remaining bark. For each

stand an average for each variable was calculated based

on the four plots or intersect lines.

Sampling of Harminius undulatus

The presence and abundance of H. undulatus larvae in

individual stands were assessed by peeling bark from

CWD objects, sieving the material, and extracting the

larvae in Tullgren funnels. By sampling H. undulatus

larvae under bark we could be sure that reproduction

had taken place in the substrate and thereby obtained a

measure of the addition of new individuals to a stand. If

adults captured in flight-interception traps had been

tallied, we would not know if reproduction was actually

taking place in the stand (i.e., if the stand was

colonized). Ten pieces of CWD of decay class 2–3 were

sampled in each stand. The sampling was restricted to

these two decay classes because H. undulatus does not

occur in the first decay class and because decay classes

older than class 3 were assumed to be too old for the

species. This assumption was based on the fact that H.

undulatus requires CWD with bark (M. Jonsell and J. N.

Stokland, personal communication) and that relatively

small amounts of bark were present on decay classes

older than 3 (Ekbom et al. 2006). Both logs and snags

were sampled when they both occurred. Only spruce

objects were sampled during the first year, while pine

and birch were also included during the following two

years. In stands where 10 suitable objects were not

available, all appropriate objects were sampled. In 2001,

each sample consisted of 0.3–0.5 m2 bark. As a result of

the low density of H. undulatus per area of bark, sample

area was increased to 1 m2 per object in 2002 and 2003.

Occupancy of Harminius undulatus

The relationship between stand and landscape attri-

butes and occupancy of H. undulatus per stand was

analyzed by multiple logistic regression. Two stand

categories, managed stands 8–14 years old and 15–59

years old, were considered as non-habitat based on the

low number of individuals present per hectare (Fig. 1).

Nonforest land was assumed to host no CWD and was

classified as non-habitat. All other stand types, which

generally contain suitable substrate for H. undulatus

were considered as habitat. Thus, in the analysis we only

considered 56 sampled stands belonging to forest types

deemed to be habitat for H. undulatus.

The following variables were used: (1) stand bark area

(m2/ha), (2) stand size (ha), (3) stand altitude (m above

sea level), (4) age as habitat (i.e., how long ago the stand

became habitat given that stands become suitable when

they are 60 years), (5) number of sampled dead wood

units, and (6) the proportion of the landscape within a

radius of 500 m covered by habitat in 2002, 1992, 1982,

1972, 1962, and 1952. Age as habitat was set to 50 years

for nature reserves, forest stands .110 years, and clear-

cuts. The historical occurrence of habitat in the

landscape was recreated by counting backwards from

present stand ages, and assuming that all stands were

more than 110 years old at their latest final cutting. The

proportion of the surrounding area covered by habitat

was quantified using ARC/View 8.2 (ESRI, Redlands,

California, USA). During the last 50 years, the percent-

age of the landscape covered by forest greater than or

equal to 60 years decreased by approximately 50% (Fig.

2). Clear-cuts from final cuttings in 1994 or later were

classified as habitat because this was the approximate

starting time for creation of high stumps (Schroeder et al.

2006) and green-tree retention. Stand altitude was

included in the analysis because it is a factor that

influences the distribution of single species as well as

species diversity (Begon et al. 1990). In the regression,

FIG. 1. Number of Harminius undulatus recruited per ha in the different stand categories. The two stand categories 8–14 yearsand 15–59 years were considered as non-habitat in the analyses.

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nonsignificant variables (P . 0.10) were excluded from

the final model using backward elimination (log likeli-

hood ratio significance) (SPSS 10.05 Advanced Statistics

software; SPSS, Inc. Chicago, Illinois, USA). The

response variable (beetle occupancy) was tested for

spatial autocorrelation (PASSAGE 1.0; software avail-

able online).3 Moran’s I was highest at the shortest

distance tested (I¼ 0.094, P¼ 0.10, 202 pairs). However,

no significant (P , 0.05) correlation was found at any of

the 10 tested distance classes. Thus, the assumption of

independent observations for the logistic regression was

not violated (Lennon 2000).

The occurrence of H. undulatus was also analyzed in

relation to the expected probability of presence predict-

ed by two metapopulation models, one habitat static

and one habitat tracking. This was done with a multiple

logistic regression model where we also included altitude

(that was not considered in the metapopulation models)

and stand size (because the effect of stand size was

minimized in the metapopulation model by assuming the

local extinction risk to be independent of stand size) as

independent variables, but excluded variables that we

should expect to be correlated with the model outcome.

The simulation outcome may be spatially correlated, but

it has been shown that logistic regression is robust to

moderate levels of spatial correlation in metapopulation

occupancy patterns (Johnson 2005).

Using a metapopulation model to explain observed

occupancy patterns

We modeled the occupancy of H. undulatus in forest

stands using a habitat-tracking metapopulation model

and assumptions about when forest stands become

habitat or non-habitat. This was compared with a

habitat-static metapopulation model that was similar,

except for the assumption that the current distribution

of habitat per non-habitat had been the same over the

last 50 years. The result was the probability of current

occurrence in each stand, which was used as an

independent variable in the logistic regression model.

By choosing different parameter combinations in the

metapopulation model, different spatial and temporal

scales were considered. The main aims were (1) to

analyze whether a metapopulation model, taking into

account the spatial structure of the habitat patches,

could explain anything of the observed occupancy

pattern, and (2) to test whether the prediction from a

habitat-tracking model is superior to a simpler habitat-

static model. Because the aim was not to predict

minimum viable metapopulation sizes, or to compare

extinction risks using different management scenarios,

we could use a simple model (e.g., without stochastic

variability of any parameter over time), and solve the

problem of lack of empirical data for parameter

estimation by testing many different parameter combi-

nations. The approach applied was developed by Gu et

al. (2002) and is based on the incidence function model

(Hanski 1994, 1999). We modified the model slightly,

because in the present study the occupancy of H.

undulatus was sampled per stand instead of per grid cell.

Forest stands, differing in size, were thus considered as

habitat patches. We assumed that habitat patch size

(denoted by A) is equal to the size of the stand (in ha) if

it was a suitable habitat, otherwise it was set to zero.

For each year, the colonization probability for an

empty stand is a function of its connectivity (S) to

existing local populations. The connectivity of stand i is

defined as

Si ¼X

expð�adijÞpjAj ð1Þ

where p¼ 0 for empty and p¼ 1 for occupied stands, dijis the distance between stands i and j, and 1/a is the

average migration distance. This equation is the same as

that in Hanski (1994) except that the parameter b, which

scales the rate of emigration by area, was set to 1. The

colonization probability C is assumed to be a sigmoid

function of connectivity:

Ci ¼ S2i =ðS2

i þ y2Þ ð2Þ

where y is a parameter regulating the colonization rate.

For each year, the probability of extinction (E ) in an

unsuitable patch is 1, and the probability of extinction in

a suitable patch is

Ei ¼ min 1; uð1� CiÞf g ð3Þ

where u is a parameter regulating the extinction risk and

(1 � C) represents the rescue effect. When no suitable

habitat is available, the larvae of H. undulatus never

survive, and therefore we assumed that the local

population immediately goes extinct when a habitat

patch becomes unsuitable. In the model by Gu et al.

(2002), extinction probability was assumed to scale by

the area, but this was removed from the equation.

Moreover, in contrast to Gu et al. (2002), we did not

FIG. 2. Historical and present percentages of the studylandscape covered by forest stand categories defined as habitatfor Harminius undulatus. These stand categories includemanaged stands 3–7 years old (only in 2002) and �60 yearsold, and the unmanaged stand types set asides and reserves. Thehistorical percentages were recreated by counting backwardfrom present stand ages.

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implement any regional stochasticity. The modeled

landscape was 28.6 3 28.1 km, which was the smallest

rectangle possible where all sampled stands were .4 km

from the nearest landscape boundary. We considered all

forest stands in the landscape. In the habitat-tracking

model, we estimated when the stands switched between

the two possible states, being suitable or unsuitable for

H. undulatus, over 50 years. Simulations were started

with an initial condition of 60% occupancy of randomly

selected suitable stands in 1952. This means that we

assumed the occupancy per suitable stand to be higher at

that time than today, because the density of suitable

stands was higher. The landscape structure was updated

every year. Populations occupying the suitable stands

that turned into unsuitable stands were lost with their

habitat. In the habitat-static model we assumed that

each stand has been either suitable or unsuitable

constantly over the last 50 years, according to the

current situation. The initial occupancy was 30%, which

is close to the occupancy in field data.

We did not have the required information in order to

estimate model parameters (a, u, y) for H. undulatus.

Therefore, we first applied a very wide range of

parameter combinations. We found that a rather low

extinction risk (low value of u) and long dispersal

distances (low value of a) were required in order to

obtain occupancy patterns that approximated field data.

We then systematically searched for parameter combi-

nations that generated outcomes significantly correlated

with field data. We used three different values of u: 0.06,

0.12, and 0.18. Five different mean dispersal distances

(1/a) were used: 500 m, 1000 m, 1500 m, 2000 m, and

2500 m. To obtain reasonable rates of occupancy, we

adjusted y in order to obtain occupancy of about 30% in

the surveyed forest stands. This was close to the average

proportion of occupied stands observed (which was

27%, see Results). This means that when the local

extinction risk (u) increased it had to be compensated for

with increased colonization (y decreased), which implies

that we compared different turnover rates. The connec-

tivity values (S in Eq. 1) were high in our study because

the habitat patches are large and numerous. Therefore,

to obtain a colonization rate appropriate for obtaining

the desired occupancy rate (30%), the y values (in Eq. 2)

became very large in comparison to some other studies

using the incidence function model (Moilanen et al.

1998, Hanski 1999). When the mean dispersal distance

increased (a decreased), it was compensated for by a

lower colonization probability (y increased). One

hundred simulations were run for each of the parameter

combinations, which was enough for obtaining stable

outcomes.

Recruitment of Harminius undulatus

The number of H. undulatus larvae developing in each

stand category (‘‘recruitment’’) was estimated based on

proportion of occupied stands, mean density (no./m2

bark) for occupied stands, and bark area. In the

calculations, the average proportion of occupied stands

for two groups of stand types that were significantly

different (see Results) was used. The first consisted of 3–

7- and �60-year-old stands, and the second group

contained the remaining stand types. The mean density

in occupied stands was calculated across stand catego-

ries, because the number of observations for each stand

category was low. The calculations were based on all H.

undulatus larvae irrespective of size.

RESULTS

Occupancy of Harminius undulatus

Occupancy increased with age as habitat, whereas it

decreased with altitude (Table 2) for habitat stands (i.e.,

those 56 stands sampled belonging to unmanaged stand

types and the managed stand types 3–7 years old and

�60 years old). Neither bark area per ha nor proportion

of habitat in the surroundings (within 500 m) in the

present or the past were significantly related to the

occupancy of H. undulatus.

The relationship between probability of occurrence

predicted from the metapopulation model and observed

occupancy was stronger (the P value was generally

lower) for the habitat-tracking model than for the

habitat-static model (Table 3). For both models,

strongly significant relationships were more common

for parameter combinations with fairly large dispersal

range (1/a � 1500), and a low extinction risk per stand

(u ¼ 0.06 or 0.12).

Recruitment of Harminius undulatus

Based on the proportion of stands occupied by H.

undulatus, the stand types could be grouped into three

categories: (1) 3–7-year-old clear-cuts and managed

stands �60 years old in which about 30% of the stands

were occupied, (2) managed stands 15–59 years old, set

asides and reserves in which 9–14% of the stands were

TABLE 2. Results from multiple logistic regression withpresence (1) or absence (0) of Harminius undulatus per standas the dependent variable, and variables describing the standand the surroundings, currently and historically, as indepen-dent variables.

Variable Coefficient P

Included in the model

Altitude �0.029 0.004Age as habitat 0.078 0.018Stand area �0.039 0.092Intercept 6.06

Excluded from the model

Proportion of habitat 1952 0.743Proportion of habitat 1962 0.439Proportion of habitat 1972 0.707Proportion of habitat 1982 0.926Proportion of habitat 1992 0.865Proportion of habitat 2002 0.833Bark area per hectare 0.998No. sampled trees 0.565

Note: The model was obtained by backward eliminationbased on log likelihood ratio significance; N¼ 56 stands.

April 2007 905SPATIAL OCCURRENCE OF A BEETLE

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occupied, and (3) managed stands 8–14 years old in

which no occupied stands were found (Fig. 3). The

occupancy was significantly higher in stands of the first

category than in the other two categories (category 1

compared with category 2, v2¼ 3.84, P¼ 0.05; category

1 compared with category 3, v2¼ 4.21, P¼ 0.04), while

the second category was not significantly different from

the third category (Fisher’s exact test). The average

proportion of occupied stands was 27% for stands

classified as habitat. The mean density of H. undulatus in

occupied stands was 1.5 individuals/m2 bark (SD¼ 0.9).

In the study landscape overall, managed stands

contributed more to H. undulatus recruitment than

unmanaged stands. An estimated 82% of the total

recruitment took place in managed stands (covering 87%

of forest area) compared with 18% in unmanaged stands

(covering 13%; Fig. 4). Stands �60 years old contributed

70% of the total recruitment while 8–59-year-old stands

only contributed 3%. About 9% of the total recruitment

of H. undulatus in the landscape took place in 3–7-year-

old clear-cuts.

Most H. undulatus larvae were small. Of the largest

larvae (head capsule width � 2.0 mm), there was never

more than one individual per 1-m2 sample. In contrast,

up to seven individuals of the smallest larvae (head

capsule width � 0.4 mm) were found per 1-m2 sample.

Larvae of the largest and smallest size were often found

in the same sample, suggesting thatH. undulatus uses the

same CWD object as oviposition substrate for several

years.

DISCUSSION

In this study, we demonstrated that metapopulation

models can be extended to deal with successional-type

systems in which habitat suitability changes over time in

a predictable pattern. The cycle of succession is well

known in many managed systems, and this knowledge

can be used to classify habitat quality. Both spatial and

temporal aspects can thus be examined using metapop-

TABLE 3. Significance of the simulation model predictions in a multiple logistic regression model with forest stand area, altitude,and simulation model prediction as independent variables, and observed occupancy of Harminius undulatus per stand as thedependent variable.

1/a (m)

P y

u ¼ 0.06 u ¼ 0.12 u ¼ 0.18 u ¼ 0.06 u ¼ 0.12 u ¼ 0.18

Habitat-tracking model

500 0.046 0.081 0.095 170 110 901000 0.012 0.054 0.067 700 455 3451500 0.004 0.020 0.018 1500 950 7502000 0.010 0.025 0.013 2500 1600 12502500 0.004 0.001 0.007 3800 2400 1880

Habitat-static model

500 0.441 0.400 0.437 130 85 701000 0.406 0.382 0.571 445 300 2551500 0.379 0.253 0.177 970 640 5052000 0.045 0.048 0.090 1600 1040 8302500 0.153 0.055 0.053 2250 1520 1200

Notes: P values (likelihood ratio significance) are from a regression model obtained with backward elimination; boldfaceindicates P , 0.05. The predictions were from metapopulation models with different parameter combinations: one model assumeda dynamic habitat, and the other a static habitat. Definitions: 1/a is the mean dispersal distance, and u is a parameter reflecting theextinction risk per stand. Values of y were changed to compensate for the different values of 1/a and u in order to obtain observedoccupancy.

FIG. 3. Percentage of stands occupied by Harminius undulatus in the different stand categories: 3–7 yr, N¼ 20; 8–14 yr, N¼ 10;15–59 yr, N ¼ 11; �60 yr, N ¼ 28; set asides, N ¼ 9; and reserves, N ¼ 7. N is number of stands per category.

L. MARTIN SCHROEDER ET AL.906 Ecological ApplicationsVol. 17, No. 3

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ulation models. Our results strongly suggest that, in a

managed forest landscape, the CWD dependent beetle

H. undulatus can be described as a habitat-tracking

metapopulation (sensu Thomas 1994). Three lines of

evidence lend support to this suggestion. First, there was

a strong relationship between habitat quality (area of

bark cover) and stand age. This means that managed

forests shift between the states of habitat and non-

habitat in a predictable manner. Managed forest stands

change from habitat to non-habitat for H. undulatus

immediately or after a delay of several years after clear-

cutting depending on whether or not suitable CWD is

retained at final cutting. The shift from non-habitat to

habitat occurs about 60 years after final cutting (Fig. 1).

Second, there was a significant relationship between H.

undulatus occurrence and the stand’s age as habitat.

After a stand becomes suitable it often seems to take

some time before it becomes colonized. Thus dispersal

between forest stands may be so restricted that each

forest stand can be regarded as a habitat patch, with a

local population only somewhat connected with other

populations. Third, there was a significant relationship

between H. undulatus occurrence and the probability of

occurrence per stand predicted from the habitat-tracking

metapopulation model, which was stronger than the

relationship using the prediction from the habitat-static

metapopulation. We assumed that local extinction risk

was the same in all suitable stands as long as they were

not affected by any rescue effect. Thus, the significant

relationship obtained must be the result of the fact that

the colonization rate or rescue effect (which both result

from dispersal) is constrained where dispersal sources

are, or have been, small and distant.

We also show that it is possible to roughly estimate

metapopulation model parameters by matching predict-

ed and observed spatial distributions. This provides an

approach to estimating individual parameters in the

incidence function model even if equilibrium between

local colonizations and extinctions could not be

assumed. Results from the metapopulation model

indicate that H. undulatus has a large dispersal range;

the relationship between observed occupancy and the

prediction from the metapopulation model was stronger

when the mean dispersal distance was set to �1500 m in

comparison with shorter distances (Table 3). This may

explain the lack of a relationship between H. undulatus

occupancy and the proportion of present habitat within

a radius of 500 m. Although the dispersal range might be

wide, two sets of data suggest that the occurrence

pattern may also be influenced by a restricted ability to

colonize suitable stands. First, H. undulatus did not

occur in all suitable stands, but its occupancy pattern

was significantly correlated with the outcome from the

metapopulation model when we assumed a low turnover

rate (i.e., low extinction risk and colonization rate) per

stand. Second, occupancy was positively correlated with

the time that the stands had been a suitable habitat.

Stands that had recently become habitat had lower

occupancy, probably because of a shorter time for

colonization in comparison with older stands.

The present study demonstrates that managed stands

are important for the landscape-wide recruitment of H.

undulatus; the main part (82%) of the estimated

landscape-wide recruitment took place in managed

stands. Especially important among the managed stand

types were stands � 60 years, which accounted for 70%

of the landscape-wide recruitment. In contrast to

managed stands � 60 years, the contribution to

recruitment of H. undulatus by managed stands 8–59

years was small, despite the fact that they covered more

than 50% of the forest land of the landscape. This is a

consequence of the low amounts of CWD with bark

FIG. 4. Percentage of the landscape covered by each stand category (percentage of forest area) and the percentage of the totalrecruitment (percentage of landscape-wide recruitment) of Harminius undulatus occurring in each stand category. Managed stands0–2 years old were not included in the analyses because they were not sampled.

April 2007 907SPATIAL OCCURRENCE OF A BEETLE

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occurring in these stand types (Ekbom et al. 2006). Thus,

the age distribution of stands within managed land-

scapes is an important factor for saproxylic organisms

dependent on bark.

In the Delsbo landscape larval density in occupied

stands was not higher in set-asides or reserves than in the

managed stands � 60 years and new forestry clear-cuts

(Fig. 1). The proportion of occupied stands was lower in

set-asides or reserves than in the other stand types. This

may, to some extent, be due to the fact that the reserve

stands generally were larger than other stands, and H.

undulatus would probably have been found in most

reserve stands if the number of sampled CWD objects

had been higher. On the other hand, this would imply a

lower larval density of the species in occupied reserve

stands compared with the other stand types. Thus, it is

unlikely that a sampling regime based on amount of

available resource in each stand would dramatically

change the results regarding the importance of managed

vs. unmanaged stands for the landscape-wide recruit-

ment.

Management implications for species preservation

Stands 8–59 years old contributed little to the

landscape-wide recruitment because of the low avail-

ability of bark on CWD. The persistence probability for

a species is related to the proportion of habitat. It is

therefore important that the proportion of the landscape

comprised by older stands is not allowed to become too

small. The proportion of the landscape covered by forest

older than 60 years has decreased in the last 50 years

(Fig. 2). The reduction of old and mature forest areas in

recent years is a general pattern in large parts of boreal

Fennoscandia (Kouki et al. 2001 and references therein).

This situation could be improved by modifying the age

distribution of the forest stands. However, such an

improvement would require a considerable amount of

time and most likely be expensive. An alternative

strategy would be to transform younger stands into

habitats for H. undulatus by increasing the amounts of

CWD with bark. This could be done by increasing the

number of living trees retained at final harvest. Some of

these trees in the young stands will die from natural

causes or could be cut to increase the recruitment of

CWD at a later date (Ranius et al. 2003). It is also

important that the habitat quality of older stands is

maintained. Management practices, such as intensive

thinning, that result in lower quantities of CWD should

be avoided.

The size and persistence of a habitat-tracking

metapopulation can be strongly affected by the duration

of individual habitat patches (Fahrig 1992, Keymer et al.

2000). In a managed forest landscape like Delsbo,

rotation length determines the period of time a stand is

suitable habitat. A shortened rotation period of

managed stands would have a detrimental effect on H.

undulatus. The situation after harvest will also influence

the length of time the habitat patches remain suitable; if

CWD is retained and created at final harvest, the beetle

species is expected to persist for some years while if no

care is taken at harvest it may go extinct shortly after

cutting.

This study focused on a beetle species dependent on

bark-covered CWD. This species was common enough

to enable quantitative analyses and rare enough to be

considered a model for other saproxylic organisms

threatened by modern forestry. About 60% of all

saproxylic beetles inhabiting spruce are directly depen-

dent on bark and of these 20% are included in the

Swedish red-list (Gardenfors 2005; M. Jonsell, personal

communication). Among the species-rich group of

saproxylic beetles (1260 species in Sweden [Dahlberg

and Stokland 2004]) bark dependency is also common

among species not on the Red List (Saalas 1917, Palm

1951, 1959). We should expect a highly variable set of

species responses to low levels of dead wood. Some

species may persist even when the amount of CWD is

very low or have such a high colonization ability that

they can occur in almost any managed forest where there

is suitable habitat. Such species do not have to be

considered in evaluating biodiversity-oriented forestry.

Other species (such as red-listed polypores [Penttila et al.

2004]) may be absent in stands with low amounts of

CWD such as those where H. undulatus were found.

Such species are not relevant for evaluation of biodi-

versity-oriented management, because they obviously

need unmanaged forest land for persistence. Intermedi-

ate to these two extremes are species like H. undulatus,

which will be able to persist in managed forests if

management is adapted to their needs. Assuring a

supply of bark-covered CWD over long periods of time

in individual stands may contribute appreciably to the

persistence of these species.

ACKNOWLEDGMENTS

Support for this project came from the project ‘‘Conserva-tion of Biodiversity in Managed Forest’’ financed by theFaculty of Forestry at the Swedish University of AgriculturalSciences and Thomas Ranius’ project ‘‘Predicting extinctionrisks for threatened wood-living insects in dynamic landscapes’’financed by The Swedish Research Council for Environment,Agricultural Sciences and Spatial Planning. Holmen Skog ABgenerously hosted our field study, and Per-Gunnar Jacobssonand Ola Karen were always ready to provide information. Weare indebted to Matilda Apelqvist, Bjorn Forsberg, MarkusFranzen, David Isaksson, Niklas Jonsson, Mats Larsson, PerLarsson, Carola Orrmalm, Erik Sahlin, Mans Svensson, andJan ten Hoopen for assistance in the field and laboratory. Wethank Tord Snall and Melodie McGeoch for comments on themanuscript.

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