Grouping Forest Tree Species on the Sierra Madre ...

1 downloads 0 Views 875KB Size Report
Keywords: Mexico; observational study; Pinus; Quercus; Durango; Classification ..... (Pen); Pinus leiophylla (Plei); Pinus lumholtzii (Plum); Pinus teocote (Pteo);.
1

Grouping Forest Tree Species on the Sierra Madre

2

Occidental, Mexico

3 4

Untersuchungen zur Strukturierung der artenreichen Mischwälder in der Sierra Madre Occidental, Mexico

5 Lujan-Soto, J. E. *, Corral-Rivas, J.J. *, Aguirre-Calderón, O. A. ** and Gadow, K. v. *** 1

6 7 8 9 10 11 12 13

reference: Lujan-Soto, J.E.; Corral-Rivas, J.J., Aguirre-Calderon, O.A. and Gadow, K. v., 2015: Grouping Forest Tree Species on the Sierra Madre Occidental, Mexico. Allgemeine Forst und Jagdzeitung 186 (3-4): 63-71

14 15 16 17 18 19 20 21 22 23 24 25 26

Abstract The Sierra Madre Occidental in the Mexican State of Durango, is home to about five million ha of species-rich forest ecosystems. Many people live in or near these forests and depend on them for their livelihood. The preservation of the species richness of this unique resource requires improved understanding of individual species functioning, effective modeling and advanced methods of monitoring. Identifying similarities and differences between individual tree species is a key to achieving these aims. Accordingly, the purpose of this study is to define species cohorts based on Durango's extensive network of permanent observational studies. We review different approaches of simplifying species-rich forest communities. A height-growth ordenation, that had been used in several previous studies, provided the motivation for a new method of vertical stratification, based on the differentiation between canopy and permanent subcanopy species. The first group was further subdivided into mature and immature individuals using the relationship between diameters and heights within a bivariate mixed normal distribution.

27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Zusammenfassung In der Sierra Madre Occidental im Mexikanischen Staat Durango, gibt es ungefähr fünf Millionen ha artenreicher Waldökosysteme, die von dort ansässigen Gemeinschaften seit etwa 100 Jahren selektiv genutzt werden. Der Erhalt der Artenvielfalt dieser einmaligen Wälder erfordert ein besseres Verständnis einzelner Arten, effektive Modellierung der Walddynamik und verbessertes Monitoring der Nutzungen. Das Verständnis von Unterschieden und Ähnlichkeiten zwischen den Baumarten ist eine wichtige Voraussetzung zur Realisierung dieser Voraussetzungen. Dementsprechend verfolgt diese Untersuchung das Ziel, auf der Basis eines umfangreichen Datenfundus aus Dauerversuchsflächen, Arten-Kohorten zu definieren. Ähnliches hat man in zahlreichen Arbeiten, vor allem in Tropenwäldern versucht, bisher aber nur mit mässigem Erfolg. Nach einem Vergleich unterschiedlicher Methoden zur Strukturierung artenreicher Ökosysteme werden zwei Ansätze verfolgt, die etwas das gleiche Ergebnis erzielen: a) Gruppierung auf der Basis von Höhen-Zuwachs Relationen einzelner Arten und b) ein neuer Ansatz der vertikalen Stratifizierung. Neu ist insbesondere die Unterteilung der herrschenden Arten in bereits dominante und noch unterständige mit Hilfe der bivariaten Durchmesser-Höhen Mischverteilung.

43 44

Keywords: Mexico; observational study; Pinus; Quercus; Durango; Classification 1*(Universidad Juárez del Estado de Durango, México); **(Universidad Autonóma de Nuevo León, México); *** (Georg-August Universität Göttingen, Germany; University of Stellenbosch, South Africa). Corresponding author: [email protected]

2 1

Schlagworte: Mexiko; Dauerversuchsflächen;

2 3

1 Background

4

The Sierra Madre Occidental in the Mexican State of Durango, is home to about five million ha

5

of species-rich forests. A great variety of coniferous and broadleaved tree species, including 20

6

pine and 43 oak species, are known to occur in Durango (GONZÁLEZ et al., 2007). More than

7

85 percent of the forest area of Durango is owned by rural communities known as Ejidos and

8

Comunidades who manage their land with some level of governmental control (CORRAL-RIVAS,

9

2006). Many people live in or near these forested areas and depend on them for their livelihood.

10

These natural resources are very important, not only for socio-economic reasons, but also for the

11

continued existence of this unique resource.

12

During the past century, the species-rich forests of the Sierra Madre Occidental have been

13

subject to various forms of selective harvesting by the local communities. With some exceptions

14

where areas have been clearfelled or managed in shelterwood systems with subsequent formation

15

of pure even-aged commercial forests, the majority of the natural species communities have

16

survived to this day (CORRAL-RIVAS et. al., 2012). The large scale existence of natural forest

17

ecosystems on which local communities depend for their livelihood, presents a particular

18

challenge for ecologists who study ecosystem response to human use. We believe that a basic

19

element of such studies is the simplification of complex tree communities by grouping species.

20

1.1 Why Simplify a Forest Community ?

21

According to PICARD et al. (2010), the grouping of species contributes to improved

22

understanding of the functioning of a species-rich ecosystem. Aggregating species into well-

23

defined cohorts may also facilitate modeling of the dynamics of such ecosystems because a high

24

species diversity is usually associated with the scarcity of data for certain rare species which

25

prevents the development of models that require sufficient data for fitting.

26

Grouping tree species has also important practical implications. Multi-species forest

27

ecosystems are selectively harvested in different regions of the world (HAIGHT, 1987; AMMER

28

et al., 2011; SCHÜTZ et al., 2012). Continuous cover forestry (CCF) has been practiced for more

29

than a century in Europe. Less well-known is the equally long-term, and possibly more extensive,

30

application of selective harvesting in the community forests of the Mexican Sierra Madre Occidental

31

(PÉREZ-VERDÍN et al., 2009). This observation provides increasing motivation for evaluating

32

the suitability of selective silviculture in multi-species ecosystems. Selective harvesting modifies

33

growing spaces and spatial niches. Forest management influences tree size and species

3 1

distributions and the spatial mingling of tree sizes and tree species, thus causing major changes in

2

forest structure (GADOW et al., 2011). A particularly challenging objective of CCF silviculture is

3

to derive economic benefits without modifying the key features (including the resource value) of

4

the natural ecosystem. Accordingly, any meaningful simplification of a complex forest

5

community may contribute significantly to improved silviculture and more effective control of

6

harvesting activities.

7

1.2 Methods of Grouping Tree Species

8

Numerous tree species coexist in the forests of the Sierra Madre Occidental (GONZÁLEZ et al.,

9

2007). Individual species have adapted to specific site conditions and they are capable of

10

responding to a range of complex interactions to improve their chances of survival and

11

reproduction. Some species produce valuable timber and some are fast growing. Some species are

12

shade tolerant, others are light demanding. Most tree species, when mature, occupy specific

13

vertical layers, some occur within particular habitats. Accordingly, aggregating species to form

14

relatively homogeneous groups may be based on different methods and different criteria.

15

Numerous studies have been published that deal with the relationship between habitat and

16

species composition. Some species were distributed randomly, while others occurred in a

17

clumped pattern at different scales (HUBBELL and FOSTER, 1983; DALLING et al., 2007;

18

ZHANG et al., 2009a,b), or preferred specific soil attributes (PALMER, 1990). These studies

19

show that species grouping by habitat is not very effective because, even in very large plots,

20

topography has been found to determine the geographic range of a species less often than small-

21

scale factors such as dispersion and gap recruitment (PLOTKIN et al., 2000). Furthermore, a

22

species-rich environment may support a large number of species which may occur across

23

different habitats, thus grouping by habitat is not very meaningful.

24

Classifying species into groups is a way to understand the functioning of species-rich

25

ecosystems, and specific statistical techniques have been used to do that. A plant functional

26

attributes approach was presented by VANCLAY et al. (1997). PICARD et al. (2012) used

27

multiple correspondence analysis to identify associations between different classifications to

28

establish whether different techniques produce consistent classifications in a tropical rain forest

29

in French Guiana. They found a consensus on the potential size of trees but no consensus was

30

found for growth rate, nor wood density, traits that are correlated with light requirement.

31

A popular method of species grouping is size-growth ordenation. The traits used by

32

FAVRICHON (1994) for species grouping were mean diameter and diameter increments by size

33

class. ALDER et al. (2002) presented a study involving an ordination of species' mean increment

4 1

(Id) on the 95% percentile of the diameter distribution (D95), using a cluster analysis based on

2

Euclidian distance between points. They compared growth rates and typical size for 204 tree

3

species from permanent sample plots in Brazil, Costa Rica, Guayana and Papua New Guinea.

4

Their clustering algorithm produced 16 centroids. Low growth rates associated with five of the

5

16 groups were assumed to be indicators of shade tolerance, had higher wood densities and

6

typically occurred in a lower canopy or understorey position. Other groups had higher increment,

7

and were light demanding with lower density timber. ALDER et al. (2002) assigned names to

8

specific group clusters, like "Pioneers", Emergents" or "Subcanopy Species" (see also ALDER

9

and SILVA, 2000).

10

The purely taxonomic approach of grouping species did not appear to show much

11

promise. Even on the Sierra Madre Occidental, with two dominant genus' Pinus (16 species) and

12

Quercus (27 species), species traits which may explain differences in ecological strategy, vary

13

widely. CORNELISSEN and CORNWELL (2014) therefore, propose that plant species effects

14

on ecosystem functions should be mapped onto the Tree of Life by analysing traits and

15

phylogenies together, thus linking ecological and evolutionary information. Recent advances in

16

assessing plant species for the traits that support these functions combined with genetic

17

screening and bioinformatics could form the basis for developing molecular plant phylogenies

18

that could be used to develop distinct species clusters for particular ecosystems. That advanced

19

taxonomic approach of aggregating species shows promise for future studies.

20

A fifth approach involves grouping based on vertical layers. For example, BOSSEL and

21

KRIEGER (1994) classified species as understorey, "treelets", canopy trees, emergents and

22

pioneers. In a two-stage approach KÖHLER et al. (2000) classified species first by potential

23

height, the second entry was successional status. The "layer" approach appears sound. All species

24

on the Sierra Madre Occidental, occupy one of two vertical strata as a mature individual: the

25

canopy (span. dosel) and the subcanopy (span. subdosel) stratum. The problem to be solved is then

26

to differentiate between immature (Bossel's "treelets") and mature canopy species to obtain three

27

groups to which all species can be uniquely assigned.

28

Finally, a species classification based on the utilisation potential is useful where

29

ecosystems represent a commercially important resource. Trade categories associated with

30

particular species are needed to ensure sustainable harvesting, and depletion of standing crop

31

values, in species-rich ecosystems managed by selective silviculture.

32

The objective of this study is to develop a systematic approach of grouping tree species

33

for the community forests of the Sierra Madre Occidental, based on 426 permanent

34

observational field plots with mapped trees and detailed measurements. We review the extensive

5 1

literature on simplifying a species-rich ecosystem and present a new approach of species

2

grouping. The study will thus contribute to our understanding of the functioning of that species-

3

rich ecosystem, and at the same time provide a more sound basis for sustainable use.

4

2 Material and Methods

5

2.1 The Database

6

This study is based on a network of permanent observational sites established between 2007 and

7

2011, and with the first set of remeasurements taken in 2013 and 2014. All the plots are square

8

covering an area of 50x50 m. They are distributed systematically (with some exceptions), with a

9

variable grid ranging from 3 to 5 kilometers, depending on the size of the community forest areas

10

(known as Ejidos in Mexico). Field assessments follow the methodologies developed by

11

CORRAL-RIVAS et al. (2009; 2012). A variety of variables, including tag number, species code,

12

breast height diameter (d, cm), total tree height (h, m), height to the live crown (m), azimuth (º)

13

and radius (m) from the centre of the plot of all trees equal or larger than 7.5 cm in diameter are

14

recorded. Currently, the database includes such measurements for 68 252 trees. Altogether 94 of

15

the 426 plots were re-measured, and increment data are available for 14 397 trees in that set. The

16

maximum and minimum values of the variables indicate that the observational network

17

adequately represents the variability of the forests of the Sierra Madre Occidental.

18

2.2 Size-Growth Ordenation

19

FAVRICHON (1994) and ALDER et al. (2002) used species' mean dbh and dbh increment in

20

their grouping study. The database of the Sierra Madre Occidental includes, in addition to

21

diameters, also height measurements of all individual trees. Therefore, in this study, it is possible

22

to evaluate an ordination using mean tree heights and mean dbh growth rates of those species

23

that have been remeasured. All species for which at least 20 remeasurement of diameter and

24

height are available, are included in the analysis.

25

2.3 Vertical Stratification to Define Species Cohorts

26

Some tree species reach the canopy when mature, while others have adapted to remain in the

27

subcanopy layer even when mature. Some of these may form a shrub layer. While this grouping

28

seems to be largely experienced-based, it is nevertheless a logical approach that has been followed

29

by a number of authors (BOSSEL and KRIEGER, 1994; FAVRICHON, 1994; KÖHLER and

30

HUTH, 1998; ALDER et al., 2002). To be objective, the grouping should be based on well-

31

defined criteria and field measurements, tree heights being obviously more suitable than tree

6 1

diameters.

2

2.3.1

3

In this study, we define canopy species as those who eventually occupy the upper stratum. To

4

identify the members of this group, we are scanning all trees in the 426 study areas, following

5

two approaches:

6

a)

Canopy Species: Mature Individuals

Individuals that have reached at least the 95 percentile height (21.8 m) of the height

7

distribution involving all trees in the database, are assigned to the group of "canopy

8

species";

9

b) All study areas which include at least one tree with a height 20 m or more are evaluated.

10

All species that have reached a height of at least 80 percent of the maximum height in one

11

of those study areas are assigned to the group of "canopy species".

12

The problem is rather trivial and can be solved easily using the extensive database with its broad

13

site coverage. Somewhat more challenging is the task of distinguishing between mature and

14

immature canopy species, those that have already reached the canopy, and those that still exist

15

beneath it.

16

2.3.2

17

The population of canopy species is composed of mature and immature individuals. The problem

18

is to find an objective and plausible way of distinguishing between these two groups. Previous

19

studies in species-rich natural forests in Europe and China have shown that the height-diameter

20

ratios of the mature and immature canopy species are distinctly different (ZUCCHINI et al.,

21

2001; ZHANG et al., 2014). These ratios tend to be lower in the trees that have already reached

22

the canopy and higher in those individuals that still grow in the subcanopy stratum. The

23

parameters of the bivariate mixture model used to distinguish between the two clusters, have

24

familiar interpretations and may be estimated using the R-function mclust (FRALEY et al., 2012).

25

Let f(d,h) denote the bivariate probability density function of diameter and height. The proposed

26

model then is

Canopy Species: Immature Individuals

f (d , h) = α ⋅ n1 (d , h) + (1 − α ) ⋅ n2 (d , h) 27

where α, a parameter in the interval (0, 1), determines the proportion of trees belonging to each

28

of the two component bivariate normal distributions n1(d,h) and n2(d,h). The parameters of nj(d,h)

29

are the expectations udj, uhj; the variances σ2dj and σ2hj, and the correlation coefficients, ρj(j=1, 2).

30

The diameter separating the two clusters may be used to differentiate between mature and

31

immature individuals. That "segregating diameter" is species-specific and has to be identified

32

using the available database.

7 1

2.3.3

Subcanopy Species

2

Beneath the canopy there is another layer of vegetation, called the subcanopy or understory. That

3

layer is formed by low woody plants, sometimes with multiple stems from the base, that attain a

4

height at maturity which is often considerably less than the canopy height. In the present study,

5

we define subcanopy species as all those that are not identified as canopy species

6

3 Results

7

3.1 Size Growth Ordenation

8

Figure 1 shows the mean dbh growth rates over mean tree heights of all species for which at least

9

20 remeasurement are available in the remeasured data set of 14 397 trees. The following 33 tree species are included:

11 12 13 14 15 16 17 18 19

Abies durangensis (Abdur); Alnus firmifolia (Alfir); Alnus jorullensis (Aljor); Arbutus arizonica (Arbari); Arbutus bicolor (Arbbic); Arbutus madrensis (Arbmad); Arbutus tessellata (Arbtes); Arbutus xalapensis (Arbxal); Cupressus lusitanica (Clus); Juniperus deppeana (Jdep); Juniperus durangensis (Jdur); Picea chihuahuana (Picea); Pinus arizonica (Par); Pinus strobiformis (Pay); Pinus cooperi (Pcop); Pinus durangensis (Pdur); Pinus engelmannii (Pen); Pinus leiophylla (Plei); Pinus lumholtzii (Plum); Pinus teocote (Pteo); Pseudotsuga menziesii (PSmen); Quercus arizonica (Qari); Quercus conzattii (Qcon ); Quercus crassifolia (Qcras); Quercus durifolia (Qdur); Quercus eduardii (Qed); Quercus jonesii (Qjon); Quercus laeta (Qlac); Quercus mcvaughii (Qmcv); Quercus obtusata (Qob); Quercus radiata (Qrad); Quercus rugosa (Qrug); Quercus sideroxyla (Qsid).

20

Fig. 1 (a) presents the height-growth ordenation of all 33 species. The abbreviated symbol which

21

appears within brackets following the species name, is introduced to facilitate identification of

22

individual species. Three shaded ellipses are used to present a first general impression of

23

groupings.

0.4 0.3 0.1

0.2

meanid

0.5

0.6

10

5

10

15

20

meanht

(a) three clusters 24

(b) two vertical layers

Figure 1. Height-growth ordenation of 33 tree species for which at least 20 remeasurement are available.

8 Gruppierung nach Höhe und Zuwachs von 33 Baumarten, für die mindestens 20 Wiederholaufnahmen vorliegen.

2

The shaded area in the lower left of Fig. 1(a) includes all 12 Quercus species, the longitudinal one

3

above includes 5 species of Arbutus and two species of Alnus whereas the 8 species of Pinus are

4

located in the area with mean heights between 10 and 15 m. Fig. 1 (b) shows the results of a

5

cluster algorithm imposed on the data2. The graph presents a vertical structure with two distinct

6

layers, a lower layer with a broad range of diameter growth rates (0.2-0.5 cm/year) and an upper

7

layer with a more narrow range of dbh growth (0.28-0.4 cm/year). The lower layer includes

8

various species of Arbutus, Alnus and Quercus with mean heights ranging from about 4-8 m. With

9

similar average heights, the species of Arbutus and Alnus have on average higher mean growth

10

rates than those of the genus Quercus. The most prominent group in the upper layer, with mean

11

heights ranging from about 8-15 m are the 8 species of Pinus. Abies durangensis, Picea chihuahuana

12

and Pseudotsuga menziesii have the biggest average heights. However, these species only occur in

13

isolated populations and are not representative of the Sierra Madre Occidental (AGUIRRE et al.,

14

2003).

15

3.2 Vertical Stratification

16

Eighteen, out of the total of 64 tree species that are recorded in the database, were classified

17

according to method (a) described in section 2.3.1. Two of these species that had reached the 95

18

percentile height (Cupressus lusitanica and Alnus jorullensis), were subsequently excluded because

19

they had not been identified as being dominant within their local environment and did not meet

20

the requirements of method (b). The resulting 16 canopy species, of which 10 are pine and 4 are

21

oak species, are presented in Table 1 while Figure 2 shows two examples of the fitted mixture

22

model.

30 10 0

0 0

20

40

60

80

dbh (cm)

23

20

height (m)

20 10

height (m)

30

40

40

1

0

20

40

60

80

dbh (cm)

Figure 2. Two typical graphs of the fitted mixture model used to differentiate between mature and immature 2

using the R-function mclust (FRALEY et al., 2012)

9 1 2

individuals of the canopy species Pinus arizonica (left) and Pseudotsuga menziesii (right). The lines represent the (0.05, 0.25, 0.5, 0.75, 0.95) quantiles of the bivariate density.

3 4 5

Zwei beispielhafte Grafiken des angepassten Mischmodells zur Unterscheidung von voll entwickelten und unterständigen Individuen der herrschenden Baumart Pinus arizonica (links) und Pseudotsuga menziesii (rechts).

6

The mixing probabilities in Table 1 represent the proportions of observations in the mature and

7

immature clusters. The cluster means refer to the mean diameters of the immature and mature

8

individuals. The segregating diameter is that dbh which separates mature and immature canopy

9

species, based on the results of the bivariate mixture model. Its value is listed separately for each

10

species in the last column of Table 1, rounded to the full centimetre.

11 12 13 14

Table 1. The 16 canopy species that have met the requirements of condition (b) described in section 2.2.1. The column headings "immature" and "mature" refer to the immature and mature clusters respectively. The segregating dbh is that dbh which separates mature and immature canopy species, based on the results of the bivariate mixture model.

15 16

Die 16 vorherrschenden Arten, die die Bedingung (b) im Abschnitt 2.2.1 erfüllt haben. Die Spaltenüberschriften "immature" und "mature" beziehen sich auf die herrschenden bzw. unterständigen Cluster. Species Pinus arizonica Pinus strobiformis Pinus chihuahuana Pinus cooperi Pinus durangensis Pinus engelmannii Pinus herrerae Pinus leiophylla Pinus lumholtzii Pinus teocote Pseudotsuga menziesii Picea chihuahuana Quercus crassifolia Quercus sideroxyla Quercus durifolia Quercus rugosa

Mixing probabilities immature mature 0.51 0.49 0.55 0.45 0.24 0.76 0.56 0.44 0.50 0.50 0.16 0.84 0.28 0.72 0.50 0.50 0.55 0.45 0.37 0.63 0.59 0.41 0.70 0.30 0.18 0.82 0.30 0.70 0.44 0.56 0.38 0.62

Means DH.DBH immature mature 11.7 27.8 12.1 23.2 14.9 15.8 13.4 28.4 11.6 25.2 16.7 38.6 24.8 39.6 13.4 27.2 10.9 18.8 26.2 12.7 14.8 39.5 12.0 53.7 15.1 37.2 13.2 30.3 10.3 18.8 12.7 29.8

segregating dbh (cm) 20 18 15 21 18 28 32 20 15 19 27 33 26 22 15 21

17

Picea chihuahuana is a rare species which occurs in isolated small populations, and the available

18

observations are insufficient to separate the two clusters. We nevertheless provide an initial

19

estimate based on the available observations.

20

3.3 Permanent Subcanopy Species

21

The following permanent subcanopy species were found to occur in the 429 observational study

22

areas:

23 24 25

Alnus firmifolia; Arbutus arizonica; Arbutus bicolor; Arbutus bicolor; Arbutus madrensis; Arbutus tessellata; Arbutus xalapensis; Crataegus spp; Cupressus arizonica; Fraxinus trifoliata; Guazuma ulmifolia; Juniperus deppeana; Juniperus durangensis; Juniperus flaccida; Juniperus monosperma; Pinus cembroides; Pinus

10 1 2 3 4 5

devoniana; Pinus douglasiana; Pinus herrerae; Pinus michoacana; Pinus tenuifolia; Populus tremuloides; Prunus serotina; Quercus arizonica; Quercus candicans; Quercus coccolobifolia; Quercus conzattii; Quercus depressipes; Quercus eduardii; Quercus emoryi; Quercus fulva; Quercus gentryi; Quercus hypoleucoides; Quercus jonesii; Quercus laeta; Quercus grisea; Quercus laurina; Quercus mcvaughii; Quercus obtusata; Quercus radiata; Quercus resinosa; Quercus rugosa; Quercus tarahumara; Quercus urbanii; Quercus viminea.

6

The majority of these species is economically unimportant. Interestingly, the database shows that

7

the selective management practiced on the Sierra Madre Occidental has not caused a major

8

change in the natural species richness.

9

3.4 Cohort-Specification

10

Based on the field measurements and the methods described in section 2, all individuals which

11

belong to a particular vertical stratum are assigned to one of three cohorts. Roman numerals are

12

used to identify the cohorts: mature canopy trees (I); immature canopy trees (II); permanent

13

subcanopy trees of (III). Figure 3 presents a schematic view of a hypothetical multi-species forest

14

with individual trees assigned to the three cohorts.

I

I

III II

II III II III

III

15 16 17

Figure 3. Schematic representation of different species cohorts in a multi-species forest, to illustrate the approach, based on the method of classification described in section 2.

18 19

Schematische Darstellung der unterschiedlichen Artengruppen in einem artenreichen Mischwald. Der methodische Ansatz wird im Abschnitt 2 erläutert.

20

It is possible of course, and perhaps also desirable, to develop more intricate classifications

21

involving additional criteria, but the purpose of this study was to develop a robust initial

22

grouping with few cohorts based on an objective statistical approach.

23

4 Discussion

24

4.1 Simplification of Species Rich Ecosystems

25

The structure and functioning of species-rich ecosystems, like the forests of the Sierra Madre

11 1

Occidental, may be better understood when traits are identified that are shared by certain

2

species. A high species diversity is usually associated with the scarcity of data for certain rare

3

species which prevents the development of models that require sufficient data for fitting. Thus,

4

aggregating tree species into well-defined cohorts may facilitate modeling of the dynamics of such

5

ecosystems. Grouping tree species has also important practical implications. Multi-species forest

6

ecosystems are selectively harvested in different regions of the world. Preserving the species

7

richness in such ecosystems is often facilitated when species are grouped.

8

4.2 The Ecological Importance of Human Activity

9

Recent surveys have shown that virtually all ecosystems of the earth are utilized by man, - where

10

"utilization" includes the few remaining areas managed for conservation (KAREIVA et al., 2007).

11

The distinction between between Nature and Culture has become blurred, and a projection of

12

current trends leads to the conclusion that the earth will be even more affected by man in the

13

future. All ecosystems are used by humans and there is increasing concern about the relevance of

14

traditional research dealing with purely "natural" systems (LEINFELDER et al., 2012).

15

Accordingly, CRUTZEN (2002) proposed to rename the current geological period Holocene and

16

to call it Anthropocene3, in which humans are an integral part of nature, constantly modifying the

17

planet. Man is a part of nature, and according to LEOPOLD (1949)4 human activities are

18

fortunately not only destructive, but also increasingly constructive and creative in designing and

19

utilizing viable ecosystems, like the unique forests in the Mexican Sierra Madre Occidental.

20

Certification to internationally accepted standards of tree harvesting is increasingly seen as a

21

necessary requirement in the forestry sector. Preserving species richness has become one of the

22

guiding principles ecosystem management.

23

4.3 The Link between Plant Traits and Function

24

Multi-species forests tend to be composed of different tree species which thrive in particular

25

habitats and respond to contrasting environmental conditions by genotypic and phenotypic

26

variation (ADAMS, 1993). The habitat is defined by certain site conditions and by specific spatial

27

constellations and physical relationships within the immediate neighborhood. Some species

28

eventually reach the canopy as dominant individuals while others never do. Such simplifications

29

can be very useful because studies that have shown how plant traits affect the performance of

30

individual species, still lack the ability to predict community assembly from these relationships

31

(LEBRIJA-TREJOS et al., 2010). 3

see Zalasiewicz et al. (2008) "That man is, in fact, only a member of a biotic team is shown by an ecological interpretation of history".

4

12 1

This is partly due to the fact that the link between plant traits and function to the

2

environment is mostly conceptualized and few studies directly correlate them (McGILL et al.

3

2006, VILE et al. 2006). The importance of traits differs with ecosystem conditions and the scale

4

of study, which adds another dimension (WRIGHT et al. 2005, ACKERLY and CORNWELL

5

2007). LEBRIJA-TREJOS et al. (2010) predict community assembly by air temperature while

6

maximum height, important for a species’ competitive performance in many systems (THOMAS

7

1996, WESTOBY et al. 2002, POORTER et al. 2006), was irrelevant for succession in their

8

tropical dry forest community.

9

4.4 Additional Criteria

10

Additional research is required if this first level grouping needs to be extended to include

11

additional criteria, such as growth rates including site and competition effects. Another important

12

dimension is the timber value of the different species. A large part of the ecosystems of the Sierra

13

Madre Occidental are being utilized for timber production and the economic potential of the

14

different tree species is an important management criterion. The optimum dbh of group I pine

15

and oak trees selected for harvest is 35 and 40 cm, respectively while the prices per m3 fluctuate

16

between 80$ and 100$ for pine timber and 60$ and 80$ for oak timber. Further research is

17

required to substantiate this information.

18

4.5 Preserving Species Richness in the Anthropocene

19

Some of these studies are lacking extensive networks of permanent observational field plots with

20

mapped trees, a broad geographical coverage and repeated measurements, like the Durango

21

Forest Observational Network on which this analysis is based. Accordingly, it has been quite

22

straightforward to classify certain species as canopy species and others as subcanopy species by

23

scanning the database and evaluating the measured tree heights in the vicinity of the maximum

24

height in each plot. Finding a suitable distinction between mature and immature canopy trees has

25

been somewhat more challenging. Eventually, the use of a bivariate normal mixture turned to be

26

suitable for estimating a dbh, separately for each species, that segregates the mature and

27

immature canopy cohorts. The basic grouping presented in this study may be extended to include

28

specific traits (tree growth related to site and competition), trait combinations (tree height &

29

Growth) or economic criteria (timber value).

30

Multi-species forests are often believed to be superior to plantation monocultures in

31

addressing a wide range of expectations. For these reasons, there is wide and increasing interest

32

in developing management methods to rehabilitate disturbed natural forests, to re-convert

33

plantation monocultures to natural ecosystems or to manage existing multi-species forests, like

13 1

those on the Sierra Madre Occidental, more effectively. The preservation of species richness in

2

such complex ecosystems requires advanced methods of management. Accordingly, Gadow et al.

3

(2013) presented different retention strategies for selectively managed natural forests. They found

4

that especially relevant are those that do not prescribe the harvest amount but rather the residual

5

forest structure, in terms of tree species in combination with tree dimensions, remaining after the

6

harvest. Specific details need to be adapted for different ecosystems, and one of the basic

7

requirements is the grouping of species into cohorts with similar traits.

8

5 Acknowledgements

9

This research was supported by Fondo Sectorial CONAFOR-CONACYT (grant: CONAFOR-

10

CONACYT 115900), and SEP-PROMEP (grant: Seguimiento y Evaluación de Sitios

11

Permanentes de Investigación Forestal y el Impacto Socioeconómico del Manejo Forestal en el

12

Norte de México).

13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

6 References ACKERLY, D. D. and W. K. CORNWELL (2007): A trait-based approach to community assembly: partitioning of species trait values into within- and among-community components. Ecology Letters 10:135–145. ADAMS, M.D. (1993): Genotypic and phenotypic variation as stress adaptations in temperate tree species: a review of several case studies. Tree Physiology 14 (7-8-9): 833-842. AGUIRRE O, G.Y. HUI., K.v. GADOW and J. JIMENEZ (2003): Comparative Analysis of Natural Forest Sites in Durango, Mexico. For. Ecol. Manage. 183:137-145. ALDER, D., OAVIKA, F., SANCHEZ, M., SILVA, J.N.M., VAN DER HOUT, P., WRIGHT, H.L., (2002): A comparison of species growth rates from our moist tropical forest regions using incrementsize ordination. Int. For Rev. 4 (3), 196–205. ALDER, D., SILVA, J.N.M. (2000): An empirical cohort model for management of Terra Firme forests in the Brazilian Amazon. For. Ecol. Manage. 130 (1-3), 141–157. AMMER, C., BALANDIER, P., BENTSEN, N.S., COLL, L., LÖF, M. (2011): Forest vegetation management under debate: an introduction. Eur. J. Forest Res. 130, 1-5. BOSSEL, H. AND KRIEGER, H. (1994): Simulation of multi-species tropical forest dynamics using a vertically and horizontally structured model. For. Ecol. Manage., 69: 123-144. FRALEY, C., A. E. RAFTERY, T. B. MURPHY AND L. SCRUCCA (2012): mclust Version 4 for R: Normal Mixture Modeling for Model-Based Clustering, Classification, and Density Estimation. Technical Report No. 597, Department of Statistics, University of Washington. CORNELISSEN, J. H. C. AND CORNWELL, W.K. (2014): The Tree of Life in ecosystems: evolution of plant effects on carbon and nutrient cycling. Journal of Ecology 102, 269–274. CORRAL-RIVAS, J.J. (2006): Models of tree growth and spatial structure for multi-species, uneven-aged forests in Durango (Mexico). PhD. Thesis. University of Göttingen. 104 p. CORRAL-RIVAS J., VARGAS B., WEHENKEL C., AGUIRRE O., ÁLVAREZ J. AND ROJO A. (2009): Guía para el Establecimiento de Sitios de Inventario Periódico Forestal y de Suelos del Estado de Durango. Facultad de Ciencias Forestales. Universidad Juárez del Estado de Durango. 89 p. CORRAL-RIVAS J.J. , REYES R. I., WEHENKEL C., AGUIRRE-CALDERÓN O.A. AND GADOW, K. v. (2012): A Network of Forest Observational Studies in Durango (Mexico). In: Zhao XiuHai (赵 秀海), Zhang ChunYu (张春雨) and Klaus v. Gadow (ed), 2012: Forest Observational Studies. Proceedings of an International Workshop at Beijing Forestry University, which convened on 20/21 September 2012: 125-138. CRUTZEN, P.J. (2002): Geology of Mankind. NATURE, Vol 415: 23. DALLING, J.R., J.W., HARMS, K.E., YAVITT, J.B., STALLARD, R.F., MIRABELLO, M., HUBBELL,

14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57

S.P., VALENCIA, R., NAVARRETE, H., VALLEJO, M., FOSTER, R.B. (2007): Soil nutrients influence spatial distributions of tropical tree species. PNAS 104, 864-869. FAVRICHON, V. (1994): Classification des especes arborees en groupes fonctionnels en vue de la realisation d’un modele de dynamique de peuplement en foret guyanaise. Rev. E ́ col. (Terre et Vie) 49 (4), 379–403. GADOW, K. V., ZHANG, C.Y., WEHENKEL, C., POMMERENING, A., CORRAL-RIVAS, J., KOROL, M., MYKLUSH, S., HUI, G.Y., KIVISTE, A., ZHAO, X.H. (2011): Forest Structure and Diversity. In: Pukkala, T. and Gadow, K. v. (eds.): Continuous Cover Forestry, Book Series Managing Forest Ecosystems Vol 24, © Springer Science+Business Media B.V.: p. 29-84. GADOW, K. V., ZHAO XH AND CORRAL RIVAS, J.J. (2013): Retention Strategies for Multi-Species Forests. Proc. International Symposium for the 50th Anniversary of the Forestry Sector Planning in Turkey, 26-28 November 2013, Antalya. GONZÁLEZ E. M.S., GONZÁLEZ E., M., MÁRQUEZ L. M.A. (2007): Vegetación y Ecorregiones de Durango. CIIDIR-IPN. Plaza y Valdés, S.A. de C.V. México, D.F. 219 p. HAIGHT, R.G. (1987): Evaluating the Efficiency of Even-Aged and Uneven-Aged Stand Management. Forest Science, Volume 33, Number 1, 1 March 1987 , pp. 116-134 (19). HUBBELL, S. P. AND R. B. FOSTER (1983). Diversity of canopy trees in a Neotropical forest and implications for the conservation of tropical trees. In: Sutton, S.J., Whitmore, T.C. and Chadwick, A.C. (eds.): Tropical RainForest: Ecology and Management. Blackwell, Oxford, U.K.: p. 25-41. KAREIVA, P., WATTS, S., MCDONALD R., BOUCHER T. (2007): Domesticated Nature: Shaping Landscapes and Ecosystems for Human Welfare. Science 316(5833): 1866-1869. KÖHLER, P., DITZER, T., HUTH, A. (2000): Concepts for the aggregation of tropical tree species into functional types and the application to Sabah’s lowland rain forests. J. Trop. Ecol. 16 (4), 591–602.
 KÖHLER, P., HUTH, A. (1998): The effects of tree species grouping in tropical rainforest modelling: Simulations with the individual-based model Formind. Ecol. Model. 109 (3), 301–321. LEBRIJA-TREJOS, E., PÉREZ-GARCÍA, J. A., BONGERS, F. AND POORTER, L. (2010): Functional traits and environmental filtering drive community assembly in a species-rich tropical system. Ecology, 91(2), 2010, pp. 386–398 LEINFELDER, R., SCHWÄGERL, CH., MÖLLERS, N. U. TRISCHLER, H., (2012): Die menschengemachte Erde - Das Anthropozän sprengt die Grenzen von Natur, Kultur und Technik. Kultur & Technik 2/2012 (Themenheft Mensch und Natur), S. 12-17, München (Verlag Deutsches Museum). LEOPOLD, ALDO (1949): A Sand County Almanac, and sketches here and there. Oxford University Press, lnc., 200 Madison Avenue, New York. MCGILL, B. J., B. J. ENQUIST, E. WEIHER, AND M. WESTOBY (2006): Rebuilding community ecology from functional traits. Trends in Ecology and Evolution 21:178–185. PALMER, M.W. (1990): Spatial scale and patterns of species-environment relationships in hardwood forests of the North Carolina piedmont. Coenoses 5, 79-87. PÉREZ-VERDÍN, G., HERNÁNDEZ-DÍAZ, J.C., MÁRQUEZ-LINARES, M.A. AND TECLE, A. (2009): Aplicación de técnicas multicriterio en el manejo integral forestal en Durango. Madera y Bosques 15, 27-46. PICARD, N. FRÉDÉRIC MORTIER, VIVIEN ROSSI, SYLVIE GOURLET-FLEURY (2010): Clustering species using a model of population dynamics and aggregation theory. Ecological Modelling 221 (2010) 152–160 PICARD, N., P. KÖHLER, F. MORTIER, AND S. GOURLET-FLEURY (2012): A comparison of five classifications of species into functional groups in tropical forests of French Guiana. Ecological Complexity 11 (2012) 75–83 PLOTKIN, J, B., POTTS, M.D., LESLIE, N., MANOKARAN, N., LEFRANKIEB, J. AND ASHTON, P.S, (2000): Species-area Curves, Spatial Aggregation, and Habitat Specialization in Tropical Forests. J. Theor. Biol. 207, 81-99. POORTER, L., L. BONGERS, AND F. BONGERS (2006): Architecture of 54 moist-forest tree species: traits, trade-offs, and functional groups. Ecology 87:1289–1301. SCHÜTZ, J.-P., PUKKALA, T., DONOSO, P. AND GADOW, K. v. (2012): Historical Emergence and Current Application of CCF, In: Pukkala T., Gadow K.v. (Eds.), Continuous Cover Forestry. Book Series Managing Forest Ecosystems. Springer Science+Business Media B.V., pp. 1-28. THOMAS, S. C. (1996): Asymptotic height as a predictor of growth and allometric characteristics in Malaysian rain forest trees. American Journal of Botany 83:556–566.

15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

VANCLAY J.K., GILLISON, A.N. AND KEENAN, R.J. (1997): Using Plant Functional Attributes to quantify site productivity and growth patterns in mixed forests. Forest Ecology and Management 94: 149-163. VILE, D., B. SHIPLEY, AND E. GARNIER (2006): A structural equation model to integrate changes in functional strategies during old-field succession. Ecology 87:504–517. WEHENKEL C., CORRAL-RIVAS J.J., HERNÁNDEZ-DÍAZ J.C., GADOW K. v. (2011): Estimating Balanced Structure Areas in multi-species forests on the Sierra Madre Occidental, Mexico. Annals of Forest Science 68: 385–394. WESTOBY, M., D. S. FALSTER, A. T. MOLES, P. A. VESK, AND I. J. WRIGHT (2002): Plant ecological strategies: some leading dimensions of variation between species. Annual Review of Ecology and Systematics 33:125–159. WRIGHT, I. J., et al. (2005): Assessing the generality of global leaf trait relationships. New Phytologist 166:485–496. ZALASIEWICZ, J. et al. (2008): Are we now living in the Anthropocene? In: GSA Today. Vol. 18, Nr. 2, Februar 2008. ZHANG C, ZHAO X, GADOW, K. v. (2014): Analysing Selective Harvest Events in three large Forest Observational Studies in North Eastern China. Forest Ecology and Management 316: 100-109. ZHANG, CY, ZHAO, XH AND GADOW, K. v. (2009b): Gender, neighboring competition and habitat effects on the stem growth of dioecious Fraxinus mandshurica trees in a northern temperate forest. Annals of Forest Science 66: 812-821. ZHANG, CY, ZHAO, XH, LIU, XD. AND GADOW, K. v. (2009a): Spatial distributions and spatial associations of dominant tree species in Korean pine broadleaved old-growth forests in Changbai Mountains. Baltic Forestry 16 (1): 66-74. ZUCCHINI, W., SCHMIDT, M. & GADOW, K. v. (2001): A model for the diameter-height distribution in an uneven-aged beech forest and a method to assess the fit of such models. Silva Fennica. 35 (2): 168-183.