Catena 159 (2017) 1–8 Contents lists available at ScienceDirect Catena journal homepage: www.elsevier.com/locate/catena Spatial relationship between soil macrofauna biodiversity and trees in Zagros forests, Iran MARK Shaieste Gholami⁎, Bahareh Sheikhmohamadi, Ehsan Sayad Natural Resources Department, Faculty of Agriculture, Razi University, Kermanshah, Iran A R T I C L E I N F O A B S T R A C T Keywords: Soil biodiversity Spatial ecology Trees Cross -variogram Microhabitat One major factor in determining the spatial distribution pattern of soil macrofauna diversity in forest ecosystems is the close relationship with tree species. Information about the spatial relationship between soil macrofauna and tree diversity is scarce, especially at regional scales. To assess soil macrofauna distribution and evaluate the spatial relationships between macrofauna diversity and tree cover properties at the regional scale, a study was conducted in the Zagros forests of Iran. To investigate properties of tree cover, 83 plots (100 m2) in a 100 m × 100 m sampling grid were established. In each plot, soil macrofauna were extracted from 50 cm × 50 cm × 10 cm soil monoliths located in the center of the plots. We classified soil macrofauna into two categories as total macrofauna (earthworm plus other taxa) and only earthworms. Data were analyzed using geostatistics (variograms and cross-variograms) in order to describe the spatial dependence of macrofauna and their relation to tree cover properties. Macrofauna abundance and diversity were distributed at geostatistical large range (3110 and 2110 m), whereas, earthworm abundance had spatial autocorrelation at small range (691 m). Macrofauna abundance and diversity were spatially related to tree cover density, diversity and evenness of tree species in addition to the density of Pyrus syriaca and Crataegus pontica at small ranges. Our results showed that tree density and diversity could be the key drivers of the spatial patterning of soil macrofauna diversity in this area. These results might be related to the conditions provided by the tree species in the surrounding environment. According to our results tree species diversity changed within a small distance (149 m) creating patches that could lead to the heterogeneity of resources and microhabitats, promoting beneficial habitats for soil macrofauna. These microhabitats can provide the suitable conditions (light, moisture and litter quality) for determining the macrofauna distribution. 1. Introduction Soil biota is an integral part of a soil ecosystem and influences biological processes that contribute to the provision of a wide range of ecosystem services (Barrios, 2007). They participate in carbon and nutrient cycles, soil structure modification and water filtration, which are essential to the sustainable functions of the ecosystems (Decaëns et al., 2006; Barrios, 2007; Dominati et al., 2010). Soil communities are extremely complex and diverse (Lavelle et al., 2006) with millions of species and billions of individual organisms (Bardgett and Van der Putten, 2014), ranging from minute microorganisms to macroinvertebrates like earthworms, ants, and termites (Barrios, 2007; Bardgett and Van der Putten, 2014). Soil macrofauna are both actors and indicators of soil services and functions (Marichal et al., 2014). Invertebrate soil macrofauna, mainly earthworms, are known to affect the physical structure and function of soils and modulate the habitat for other species (Lawton and Jones, ⁎ Corresponding author. E-mail address: shaiestegholami@gmail.com (S. Gholami). http://dx.doi.org/10.1016/j.catena.2017.07.021 Received 2 March 2017; Received in revised form 26 July 2017; Accepted 31 July 2017 0341-8162/ © 2017 Elsevier B.V. All rights reserved. 1995). Since macrofauna can be assessed by means of relatively simple methodological approaches, such as hand sorting, soil macrofauna represents a good model for analysis of basic functional aspects of the biodiversity present in soil. Thus, knowledge about macrofauna may considerably improve the understanding of ecosystem functioning (Barrios, 2007). Very few studies have focused on the diversity of soil fauna in forests (Scheu, 2005; Wardle et al., 2006) despite the immense diversity existing below-ground and the fundamental role that soil fauna plays in forests ecosystem processes (Korboulewsky et al., 2016). Specific among soil organisms, earthworms are recognized ecosystem engineers (Lavelle et al., 1997). They are a major component of the decomposer fauna in many forest ecosystems. Through soil bioturbation (e.g. burrowing, casting, and mixing litter), they influence the physical and chemical characteristics of soil. This has important consequences in terms of plant productivity and plant community structure (Korboulewsky et al., 2016). Prerequisite of any estimation of functional effects of macrofauna is Catena 159 (2017) 1–8 S. Gholami et al. forests, Iran; and 2) to analyze the spatial relationships between macrofauna and tree cover properties in this area. an assessment of spatial distribution patterns of these organisms (Gholami et al., 2016). However, little information exists on spatial distribution of soil biodiversity, and this makes it difficult to construct appropriate models to explain the structure of soil communities (Ettema and Wardel, 2002; Barrios, 2007; Sereda et al., 2012; Bardgett and Van der Putten, 2014). On the other hand, one of the major challenges in ecology is to determine how soil biodiversity is distributed across different scales (Bardgett and Van der Putten, 2014). At field scales, the spatial variability of macrofauna has been the subject of several publications (Poier and Richter, 1992; Rossi et al.,1997; Cannavacciuolo et al., 1998; Nuutinen et al., 1998; Decaëns and Rossi, 2001; Jimenez et al., 2006; Joschko et al., 2006). From a number of field scale studies, the spatial distribution pattern of soil macrofauna appears to be at the regional scale (Rossi et al., 1997; Nuutinen et al., 1998). However, at regional scales, knowledge about the macrofauna distribution is limited making it a major challenge for soil biodiversity researchers (Ettema and Wardel, 2002; Joschko et al., 2006). Such information is especially needed for better understanding the ecology of macrofauna, for estimating macrofauna activity and for designing proper management schemes at this dimension (Adams et al., 2006; Joschko et al., 2009; Mueller et al., 2015). Spatial distribution of soil biodiversity is controlled by a hierarchy of environmental agents acting at different spatial scales (Jimenez et al., 2001; Tsukamoto and Sabang, 2005; Decaëns, 2010; Bardgett and Van der Putten, 2014; Korboulewsky et al., 2016). Little is known about the factors that impact on spatial distribution patterns of soil macrofauna at different scales (Jimenez et al., 2001). Often, at the local scale, spatial variability of soil organisms is related to variations in the physical and chemical properties of soil and the identity of vegetation (Bardgett and Van der Putten, 2014). At greater scales, landscape dynamics and composition (Marichal et al., 2014), individual plant species, vegetation composition, plant species diversity and litter types (Wardle, 2006) impact soil biodiversity. Spatial patterns of soil biota in forest ecosystem often reflect the domain of the effect and positioning of tree species (Ettema and Wardle, 2002). In mixed forests, litter quality differences among tree species can lead to patchy distributions of soil organisms (Lavelle et al., 1997; Saetre and Baath, 2000; Gonglanski et al., 2008; Schwarz et al., 2015; Mueller et al., 2015). In semi-arid ecosystems, the spatial distribution pattern of soil animals is related to isolated areas of plants that create patches of fertility, which are beneficial for soil organisms (DelgadoBaquerizo et al., 2013). However, for forest ecosystems, it is known that differences among tree species might be key drivers of the spatial patterning of soil biodiversity (Ettema and Wardle, 2002; Farska et al., 2014) through both direct (litter quality and quantity) (Lavelle et al., 1997; Sayad et al., 2012; Schwarz et al., 2015) and indirect effects (microhabitats and environmental factors such as pH, radiation and soil humidity) (Korboulewsky et al., 2016). Several studies indicated the positive effect of tree diversity on soil animal biodiversity (Spehn et al., 2000; Cesarz et al., 2007; Jacob et al., 2009). Indeed, plants and the biodiversity that occurs beneath are strongly linked through a variety of both direct and indirect interactions (Kardol and Wardle, 2010; Sylvain and wall, 2011). Diversity of trees promotes the emergence of different microhabitats that can shelter different species of soil biota (Lavelle et al., 1997; Schwarz et al., 2015; Cavard et al., 2011). Although, soil spatial analyses have gained increased recognition during recent years (Rossi et al., 1997; Nuutinen et al., 1998; Ettema and Wardle, 2002; Joschko et al., 2006, 2009; Mathieu et al., 2009), we are not aware of any research about spatial relationships between soil macrofauna and tree diversity. The first step for better understanding ecological principle about the effects of tree cover properties on soil animal communities (Ettema and Wardle, 2002) may be the spatial analysis of relationships between macrofauna and tree cover properties. The objectives of this study are: 1) to investigate the spatial distribution pattern of soil macrofauna community (abundance, evenness, taxonomic richness and diversity) at the regional scale in Zagros Oak 2. Materials and methods 2.1. Study area The study was carried out in Gahvareh forests (in Zagros forest region), western Iran (34° 26′ 30′′ - 34°27′ 00′′ N and 46o17′00′′46°17′39′ ′E). This area has a rugged topography with different slopes (Henareh Khalyani and Mayer, 2013). The climate is semi-arid, with precipitation concentrated in mid-autumn and winter and hot, dry summers. Mean annual rainfall is 440 mm, and mean annual temperature is 11 °C. Forests in this area are characterized by Quercus brantii Lindl, Pyrus syriaca Boiss, Crataegus pontica C·Koch and Ceracus microcarpa (C.A.M) Boiss. Quercus brantii (covering more than 50% of the Zagros forest region) is the most important tree species of the study area (Sabeti, 2002). 2.2. Tree cover properties For capturing field information about tree diversity and spatial distribution, 83 plots (100 m2) in a 100 m × 100 m systematic sampling grid were established in Gahvareh forests. Tree species count in each plot was done (Cesarz et al., 2007). In each plot, diversity of tree cover (tree species diversity, tree species evenness and tree species richness), density of tree cover (tree density), density of each tree species (tree species density), and canopy cover were determined. 2.3. Soil macrofauna Soil macrofauna were defined as invertebrates visible with the naked eye (macroscopic organisms) (Warren and Zou, 2002). In this study, both geobionts (large soil invertebrates that permanently inhabit the soil), and geophiles (organisms that live in the soil only for some phase of their life) (Maggenti et al., 2005) were assessed. In spring (April 2016) when moisture and temperature are suitable and all macrofauna species are active and representation of community structure is best (Spehn et al., 2000; Cesarz et al., 2007), soil macrofauna were extracted by hand-sorting the samples in the field, from 50 cm × 50 cm × 10 cm soil monoliths located in the center of the plot (83 plots). The organisms were placed in plastic bags and transported to the lab for taxa determination. The number of individuals for each sample was determined on the day of collection. We classified soil macrofauna into two categories as total macrofauna (earthworm plus other taxa) and earthworm (hereafter, macrofauna and earthworm, respectively). 2.4. Diversity indices In each plot, abundance (number of individuals), evenness (Sheldon index), richness (Menhinick index), and diversity (Shannon H′ index) of soil macrofauna (Gonglanski et al., 2005, 2008) and tree cover (Cesarz et al., 2007) were calculated by using PAST version 1.39 (Palaentological Statistics Software Package, 2006). 2.5. Statistical approaches 2.5.1. Non-spatial statistics The distribution of variables was analyzed with Q–Q plots (Timmer, 1998). All variables (except for macrofauna richness and diversity) were log-normally distributed; therefore a log-transformation (log (x + 1)) was carried out before further analysis. For the initial analysis of the relationship between soil macrofauna and tree cover, we calculated the correlation among macrofauna and tree cover properties using the rank correlation coefficient (rs) (SPSS 17). All results reported in the 2 Catena 159 (2017) 1–8 S. Gholami et al. text are mean ( ± standard error). Table 1 Summary statistics of soil macrofauna diversity indices and earthworm abundance. 2.5.2. Geostatistics We applied geostatistical methods (semi-variogram and cross semivariogram) to investigate 1) the spatial pattern of soil macrofauna (Rossi et al., 1995; Ettema and Wardle, 2002; Gonglanski et al., 2008; Mathieu et al., 2009; Joschko et al., 2009) and 2) the spatial relationships with tree density and diversity. Geostatistics is a branch of statistics that explicitly incorporates the concept of spatial correlation in the analysis of spatial data (Goovaerts, 1999). The basic tool of geostatistics is the (semi) variogram. The semivariance (γ(h)γ(h)) graphically describes the spatial variability of a variable by plotting semivariance as a function of lag distance h (Eq (1)): γ (h) = 1 2N(h) N(h) ∑i=1 [Z(Xi) − Z(Xi + h)]2 [Zu (Xi) − Zu (Xi + h)]. [Z v (Xi)‐Z v (Xi + h)] i=1 Std. Error Min Max Diversity Richness Evenness Macrofauna abundance (individual/m2) Earthworm abundance (individual/m2) 1.29 1.40 0.88 39.60 7.68 0.031 0.032 0.008 1.640 0.816 0.50 0.63 0.64 8.0 0.0 1.89 2.33 1.00 80.0 48.0 Table 2 Summary statistics of tree cover properties. Variable Mean Std. error Min Max Tree density (individual/plot) Tree species diversity Tree species richness Tree species evenness Quercus brantii (individual/plot) Ceracus mocrocarpa(individual/plot) Pyrus syriaca (individual/plot) Crataegus pontica (individual/plot) Canopy cover (percent/plot) 4.20 0.57 1.02 0.94 2.79 0.44 0.54 0.45 59.13 0.181 0.044 0.036 0.006 0.129 0.062 0.092 0.080 3.938 1 0.00 0.41 0.74 0.00 0 0 0 10.6 9 1.33 1.63 1.00 6.0 2 3 3 96.0 (1) Density: Number of trees in plot; Evenness: Sheldon index; Richness: Menhinick index; Diversity: Shannon H′ index. Plot: 100 m2. 3.2. Tree cover properties The mean of tree cover density was 4.2 ( ± 0.18) individual per plot. Canopy cover averaged at 59.13 ( ± 3.94) percent in the plot. The mean values per plot of tree species diversity, evenness, and richness were 0.57 ( ± 0.044), 0.94 ( ± 0.006), and 1.02 ( ± 0.036), respectively (Table 2). 3.3. Correlation among macrofauna diversity indices and tree cover properties Rank correlation analysis among soil macrofauna (abundance, taxonomic richness, evenness, and diversity) and tree cover properties showed there existed weak relationships (Table 3). Significant relationships were found between macrofauna diversity and density of Crataegus pontica trees (positive) and tree species evenness (negative), macrofauna abundance and tree cover density (positive), density of Quercus brantii trees (positive) and tree species evenness (negative), macrofauna richness and density of Crataegus pontica trees (positive), macrofauna evenness and tree species evenness (negative); and, with respect to earthworm abundance, weak negative relationships with tree evenness (Table 3). N(h) ∑ Mean Macrofauna: earthworm plus other taxa; Abundance: Number of animals; Evenness: Sheldon index; Richness: Menhinick index; Diversity: Shannon H′ index. where z is the measured variable, xi is the coordinate of one sample, xi + h is the coordinate of another sample at distance (lag) h and N (h) is the number of pairs of samples z (xi) and z (xi + h) (Webster and Oliver, 2009). To describe spatial autocorrelation of a variable quantitatively, a (theoretical) variogram model is fitted to the empirical variogram to obtain the model parameters nugget, sill and range. Theoretically, semivariance increases with increasing separation distance to a moreor-less constant value called the sill. The sill represents the maximum sample variance, at a separation distance that the observations no longer are spatially dependent. The lag distance at which the semivariance approaches the sill is called the range. The range represents the maximum distance of spatial autocorrelation. At distances smaller than the range we can observe spatial autocorrelation while observations with distances larger than the range are regarded as spatially independent (Atkinson and Tate, 2000; Gringarten and Deutsch, 2001; Webster and Oliver, 2009). The semivariance at lag zero is called nugget variance. The nugget represents random variability that is undetectable at the scale of sampling and is due to variation occurring at scales below the minimum sampling distance. Cross variogram analysis is a spatial analysis technique in which two variables are used with the aim to examine the spatial co-structure occurring between them. Variables that are well cross-correlated show similar patterns of spatial variability (Goovaerts, 1999). Thus cross variograms are adequate tools to study inter- relationship between variables (Rossi et al., 1995). Empirical cross-variograms are plots of the cross-semivariance against the lag distance. The cross-semivariance for two variables is calculated as follows (Eq. (2)): γ (h) = 1 2N(h) Variable (2) where zu is the primary variable, zv is the covariate, xi is the coordinate of the sample, N (h) is the number of pairs of samples z (xi) and z (xi + h), separated by the separation distance (lag) h (Webster and Oliver, 2009). Geostatistical analysis was performed using the software GS + version 5.1.1 (Gamma design software, 1995). 3.4. Spatial pattern of macrofauna diversity indices and tree cover properties 3. Results 3.4.1. Semi-variogram The variograms of macrofauna abundance and diversity revealed the presence of spatial autocorrelation. For macrofauna diversity and abundance, spatial autocorrelation occurred at the large distances of 2 to 3 km; whereas, earthworm abundance showed for the variogram model a spatial autocorrelation at 691 m. For all these variables, bounded semi-variograms were found. The variograms of macrofauna abundance and diversity were exponential while, earthworm abundance had the spherical model. The nugget-to-sill ratio showed a moderate spatial dependence for earthworm and macrofauna (Table 4). Tree diversity indices, tree species density and canopy cover were spatially structured as well with ranges of several hundred meters and 3.1. Soil macrofauna The soil macrofauna comprised the following groups: ants (25%, 9.9 ( ± 0.92) individual/m2), beetles (Coleoptera, 12.5%, 5.0 ( ± 0.48) individual/m2), millipedes (22.7%, 9.0 ( ± 0.88) individual/m2), earthworms (19.2%, 7.7 ( ± 0.82) individual/m2), dipterans (4.1%, 1.6 ( ± 0.32) individual/m2), spiders (5.9%, 2.3 ( ± 0.36) individual/m2), isopods (3.5%, 1.4 ( ± 0.28) individual/m2), and insect larvae (6.2%, 2.5 ( ± 0.44) individual/m2). Mean macrofauna abundance was 39.6 ( ± 1.64), individual/m2 (Table 1). 3 Catena 159 (2017) 1–8 S. Gholami et al. Table 3 Rank correlation coefficients (rs) between macrofauna and tree cover properties. Variable Tree cover density Tree species diversity Tree species richness Tree species evenness Quercus brantii density Ceracus microcarpa density Pyrus syriaca density Crataegus pontica density Canopy cover Macrofauna diversity Macrofauna evenness Macrofauna richness Macrofauna abundance Earthworm abundance 0.208 0.214 0.087 − 0.247 0.108 − 0.111 0.13 0.278 0.171 − 0.255 − 0.186 − 0.133 0.119 − 0.134 − 0.163 − 0.131 −0.111 − 0.119 0.108 0.259 0.131 0.141 0.081 0.036 − 0.044 − 0.331 − 0.023 0.270 − 0.087 0.11 0.09 0.091 0.239 0.041 0.119 0.193 0.177 0.058 − 0.004 − 0.281 0.209 − 0.061 0.131 0.043 0.177 Macrofauna: earthworm plus other taxa; Evenness: Sheldon index; Richness: Menhinick index; Diversity: Shannon H′ index. more. The parameters of the theoretical models fitted to the experimental variograms are given in Table 5. All variograms showed exponential model (except for variogram of tree cover density which had the spherical model). Tree species richness and evenness had spatial autocorrelation at 2110 m (similar to mucrofauna abundance and diversity) whereas, tree species diversity had spatial dependency at 149 m. Our results showed that density of tree species (Pyrus syriaca, Crataegus pontica and Ceracus microcarpa) and canopy cover were autocorrelated at greater distances, 2110 to 3110 m, similar to the distribution ranges of macrofauna abundance and diversity. Parameters obtained from the constructed variograms and the fitted models suggested moderate spatial dependence with small positive nugget values (Table 5). Empirical semi-variograms and the fitted models of macrofauna abundance, macrofauna diversity, earthworm abundance, tree cover density, tree species diversity and canopy cover are presented in Fig. 1. 4. Discussion Our results from geostatistical analyses indicated that macrofauna abundance and diversity were spatially structured at large distances. Similar to our observations, Gholami et al. (2016) found large autocorrelation distances of 500 m to 2 km for macrofauna abundance and diversity in a riparian forest. This spatial structuring may be the outcome of large-scale heterogeneity, reflecting large-scale soil texture and vegetative cover gradients. In forests, differences existing among plant species might be key drivers of the spatial patterning of soil organisms (Ettema and Wardle, 2002). Based on our findings, earthworm abundance was spatially autocorrelated at the smaller range (distance 690 m) in contrast to macrofauna abundance at greater range (distance 3110 m). We could relate the smaller distance result for earthworm distribution to individual trees, tree characteristics such as species identity and to soil moisture which indicated the importance of both food quality and habitat for earthworm (Cesarz et al., 2007). Both biotic interactions and habitat heterogeneity may lead to small-scale aggregations of soil macrofauna (Birkhofer et al., 2010). On the other hand, with decreasing zones of plant influence, patch sizes of soil organisms especially earthworms decline correspondingly (Ettema and Wardle, 2002). For example, at the forest site studied, we found a tree influence range of 690 m for earthworm abundance, in contrast to Joschko et al. (2009) who reported for an agroecosystem, a range of 276 m for earthworm abundance and crop plants. This difference suggests that different scales of influence exist for individual arable plants compared to trees (Ettema and Wardle, 2002). Although spatial distribution of tree species diversity appears to be aggregated, tree cover density, tree species richness and evenness showed large and smoothly continuous, probably as a function of large scale gradients of soil texture, soil carbon and topography (Ettema and Wardle, 2002). In forest communities, abiotic factors such as topography, moisture, and light conditions typically change at relatively large scales, species-specific preferences to such heterogeneous environments and their related regeneration manner affect the organization of communities (Torimaru et al., 2013). The small scale pattern (149 m) of tree diversity distribution found in our study, could be the 3.4.2. Cross-variogram The spatial similarity was evaluated by cross-variograms for pairs of soil macrofauna (macrofauna diversity indices and earthworm abundance) and tree cover properties (density of tree cover, tree diversity indices, density of tree species and canopy cover). Referring to the cross-variogram, soil macrofauna diversity was spatially related to tree species diversity (range = 395 m), tree cover density (range = 431 m), tree species evenness (range = 454 m, negatively) and density of Pyrus syriaca (range = 368 m). Macrofauna abundance was spatially connected to tree cover density and tree species diversity, canopy cover and density of Crataegus pontica at the distance of about 400 m, and to tree species evenness at the small distance of 174 m (negatively) (Table 6). Tree species evenness at the large distance of 1426 m (negatively) and canopy cover at the small distance of 439 m were spatially related to earthworm abundance. The parameter values for the nugget, sill, and range of the fitted models are shown in Table 6. The poor fit of the models for the rest of the cross-variograms would suggest there exists no spatial connection for the other variables at the sampling scale of this study. Table 4 Parameters of the fitted models to the experimental variograms of soil macrofauna. Variable Model Nugget(Co) Sill(Co + C) Nugget to sill ratio Range(m) R2 R2 of cross-validation Macrofauna diversity Macrofuna abundance Earthworms abundance Exponential Exponential Spherical 0.075 0.159 0.618 0.150 0.319 1.701 0.50 0.49 0.36 2110 3110 691 0.17 0.13 0.89 0.03 0.06 0.04 Co: nugget variance: the variogram values at lag distance zero. Sill: the variance at which the variogram model reaches a maximum; C: structural variance; Range: the lag distance at which the bounded variogram reaches the sill; Nugget to sill ratio: the indicator of the strength of the spatial autocorrelation, the variable is considered to have a strong spatial dependence if the ratio is less than 25%, and has a moderate spatial dependence if the ratio is between 25% and 75%; otherwise, the variable has a weak spatial dependence. R2: goodness of fit of theorical model fitted to the experimental variogram; R2 of cross-validation: regression coefficient. Macrofauna: earthworm plus other taxa; Abundance: Number of animals; Diversity: Shannon H′ index. 4 Catena 159 (2017) 1–8 S. Gholami et al. Table 5 Parameters of the fitted models to the experimental variograms of tree cover properties. Variable Model Nugget(Co) Sill(Co + C) Nugget to sill ratio Range(m) R2 R2 of cross-validation Tree cover density Tree species richness Tree species evenness Tree species diversity Ceracus microcarpa density Pyrus syriaca density Crataegus pontica density Canopy cover Spherical Exponential Exponential Exponential Exponential Exponential Exponential Exponential 0.14 0.025 0.008 0.034 0.116 0.176 0.151 1097 0.42 0.05 0.001 0.090 0.234 0.354 0.304 2195 0.33 0.50 8.00 0.37 0.49 0.49 0.49 49.97 3110 2110 2110 149 3110 2110 3110 2110 0.64 0.13 0.54 0.96 0.50 0.58 0.50 0.15 0.15 0.08 0.12 0.15 0.02 0.02 0.07 0.04 Co: nugget variance: the variogram values at lag distance zero. Sill: the variance at which the variogram model reaches a maximum; C: structural variance; Range: the lag distance at which the bounded variogram reaches the sill; Nugget to sill ratio: the indicator of the strength of the spatial autocorrelation, the variable is considered to have a strong spatial dependence if the ratio is less than 25%, and has a moderate spatial dependence if the ratio is between 25% and 75%; otherwise, the variable has a weak spatial dependence. R2: goodness of fit of theorical model fitted to the experimental variogram; R2 of cross-validation: regression coefficient. Evenness: Sheldon index; Richness: Menhinick index; Diversity: Shannon H′ index. Fig. 1. Semi-variograms (dots) and the fitted models (lines) of a: Macrofauna abundance, b: Macrofauna diversity, c: earthworm abundance, d: tree diversity, e: tree density, f: canopy cover, Macrofauna: earthworm plus other taxa; Abundance: Number of individuals; Evenness: Sheldon index; Richness: Menhinick index; Diversity: Shannon H′ index. Table 6 Parameters of cross-semi-variograms for pairs of soil macrofauna and tree cover properties. Variable Model Nugget(Co) Sill(Co + C) Nugget to sill ratio Range(m) R2 R2 of cross-validation Macrofauna diversity- tree species diversity Macrofauna diversity - tree species evenness Macrofauna diversity – tree cover density Macrofauna diversity - Pyrus syriaca Macrofauna abund- tree cover density Macrofauna abund - tree species evenness Macrofauna abund - tree species diversity Macrofauna abund- Crataegus pontica Macrofauna abund - canopy cover earthworm abund – tree species evenness earthworm abund - canopy cover Spherical Spherical Spherical Spherical Spherical Spherical Spherical Spherical Spherical Spherical Spherical 0.000 −0.000 0.001 0.000 0.017 −0.001 0.000 0.000 0.010 −0.003 1.720 0.016 − 0.002 0.050 0.017 0.080 − 0.005 0.030 0.027 3.580 − 0.01 9.290 0.000 0.000 0.020 0.000 0.212 0.200 0.000 0.000 0.003 0.300 0.185 395 454 431 368 459 174 430 459 480 1426 439 0.93 0.95 0.96 0.84 0.80 0.94 0.98 0.80 0.88 0.97 0.95 0.07 0.07 0.07 0.07 0.04 0.04 0.04 0.04 0.04 0.03 0.03 Co: nugget variance; C: structural variance; R2: goodness of fitness of theorical model fitted to the experimental variogram; R2 of cross-validation: regression coefficient. Macrofauna: earthworm plus other taxa; abund = Abundance: Number of individuals; Evenness: Sheldon index; Diversity: Shannon H′ index. Pyrus syriaca, Crataegus pontica: density of Pyrus syriaca and Crataegus pontica trees. 5 Catena 159 (2017) 1–8 S. Gholami et al. result of the plant–plant interactions that generally occur at a finer spatial scale, e.g., the extent to which individual crowns and/or root systems develop (Torimaru et al., 2013). We found that macrofauna diversity formed a large-scale distribution (2110 m) that closely matched that of tree species richness and evenness, and density of Pyrus syriaca trees (2110 m). On the other hand, macrofauna abundance spread at a larger scale (3110 m) that is similar to the distribution ranges of tree cover density, Ceracus microcarpa density and Crataegus pontica density (3110 m). Rank correlation analysis also showed the correlations between macrofauna diversity and tree species evenness and macrofauna abundance and tree cover density. These results suggest that tree species diversity and identity might operate as determinants of macrofauna abundance and diversity distribution. Spatial variability of trees is known to increase the diversity of macrofauna communities through modification in the structure of the habitat, determining the diversity of microhabitats and life conditions for soil macrofauna (Decaëns et al., 1998). Although previous studies (Saetre and Baath, 2000; Ettema and Wardel, 2002; Wardle et al., 2006; Loranger-Merciris et al., 2007; Gongalski et al. 2008; Cavard et al., 2011; Schwarz et al., 2015; Mueller et al., 2015; Korboulewsky et al., 2016) pointed out the importance of plant diversity on soil biota distribution, neither of them tested the spatial relationship between macrofauna and tree properties. In our study, according to the cross-variograms spatial relationships were detected between macrofauna and tree properties. Because macrofauna diversity and abundance were spatially related to density of tree cover, tree species diversity, and evenness (at the distances of about 400 m), we suspected that tree diversity and density were reflecting the distribution of macrofauna abundance and diversity. These spatial relationships indicate that tree species diversity, tree evenness, and tree cover density might affect macrofauna diversity distribution at the small distances. Since tree diversity may enhance resource and habitat, it may increase macrofauna diversity by the mechanism of creating small-scale microhabitat diversity (Hooper et al., 2000; Cesarz et al., 2007). Microhabitat features that include both trees and the soil beneath can provide an attractive microenvironment for soil macrofauna (Hooper et al., 2000; Pospiech and Skalski, 2006; Cesarz et al., 2007; Mathieu et al., 2004; Mathieu et al., 2009). Indeed, tree species create a gradient of specific physical and chemical properties, which are beneficial for different soil macrofauna (Korboulewsky et al., 2016). In our case, the trees may be affecting the macrofauna in the underlying soil by improving the local soil microclimatic conditions, such as modifying soil temperature and soil humidity, or by contributing nutrients that have leached from the wood during rainfall. Zagros forests are open canopy, sparse oak forests which have experienced a long history of disturbances and habitat fragmentation (Henareh Khalyani and Mayer, 2013). This region is characterized by hot and dry summers and low annual precipitation that influence soil macrofauna, by limiting resources and affecting available soil moisture. Thus, soil moisture changes and reduction of soil temperature (De Smedt et al., 2016) due to the presence of trees is likely to have important effects on soil macrofauna in this area. These findings are in accordance with Mathieu et al.'s (2009) suggestion that soil macrofauna is limited by high temperatures and that temperature is a strong determinant of many soil macrofauna ecological niches. Based on our results, tree species diversity changes at the small range (149 m) could promote heterogeneity of resources and microhabitats for macrofauna, and therefore increase their diversity. Spehn et al. (2000) showed also that soil macrofauna abundance increased with tree diversity. Mathieu et al. (2009) highlighted the positive effect of increasing vegetation cover on soil macrofauna biodiversity. In contrast to these observations, there are several other studies which have found only weak linkages between plant species diversity and macrofauna diversity (Hooper et al., 2000; Wardle, 2006; Wardle et al., 2006). Aubert et al. (2003) found no evidence of any impact of tree diversity effect on macrofaunal biodiversity. Cavard et al. (2011) and Schwarz et al. (2015) found no relationship between earthworm and tree richness. These different results may be the consequence of unique differences in studied ecosystems. The effect of tree species on the spatial distribution of soil biota may prevail in the situations, like our study area, in which trees are spaced at a sufficient distance to have a dominating influence on the resources that they accumulate under them (Aubert et al., 2003). Hence, macrofauna increase observed with tree diversity and density in our case, suggests the trees can create microhabitats that provide suitable conditions (light, moisture, litter quality) for soil biota. We also found that macrofauna abundance spatially related to Crataegus pontica density and macrofauna diversity to Pyrus syriaca density at the small distances of 459 m and 368 m, respectively. These results could highlight the importance of tree species identity, as an agent for specific litter attributes that affect the spatial distribution of soil macrofauna (Korboulewsky et al., 2016). The identity of tree species is often a main determinant of soil organism distribution because tree species differ enormously in the quality of litter produced (Wardle et al., 2006). Our results indicated that earthworm abundance was spatially related to tree species evenness at a large distance (1429 m). The cross semi-variance values of macrofauna abundance, diversity and earthworm abundance and tree evenness and the slope of the cross-variogram were negative, hence indicating a negative spatial co-structure (Rossi et al., 1995). These results may confirm the positive correlation between earthworm and tree species diversity that indicate the importance of diverse food qualities and microhabitat conditions for the decomposer fauna (Cesarz et al., 2007). The spatial relationship between earthworm abundance and canopy cover was observed at distance of 439 m, suggesting variations in microclimatic conditions (soil temperature and moisture), which might facilitate species coexistence by creating microhabitats for earthworms (Mueller et al., 2015). Moreover, the cross semi-variogram of earthworm abundance and tree species evenness represented a range of influence more than that for the semi-variogram of each of them, but equal to the range of tree species evenness. Whereas cross semi-variograms of macrofauna diversity and abundance and tree cover properties showed ranges smaller than their semi-variograms but relatively, equal to the ranges of tree species diversity and canopy cover. Thus, making use of cross semivariogram proved the importance of identifying the spatial distribution pattern of soil macrofauna and earthworm by features of tree species diversity and canopy cover in this area. The main factor constraining soil biodiversity is the heterogeneity of resources and habitat that allow high levels of biodiversity. This heterogeneity is increased by the impact of trees that generate the resources patchiness at a range of spatial scales (Decaëns, 2010). 5. Conclusion Our findings showed from geostatistical analyses that spatial distribution of soil macrofauna abundance and diversity occurred at the larger distances than earthworm abundance. Macrofauna diversity and abundance were spatially correlated to tree species density, diversity, and evenness at the small ranges, whereas earthworm distribution had spatial relationship to the tree species evenness at a larger range. These results highlight that tree density and diversity are key driver factors for macrofauna diversity distribution suggesting relationships to microhabitats and complex gradients of soil properties, which trees provide (Vivanco and Austin, 2008). However to fully understand soil macrofauna distribution in Zagros Oak forests, a careful study of the vegetation cover (e.g. litter quantity and quality) around the macrofauna samples is still required. We put forward that these types of patterns are not unique to Zagros forests, but are also likely to occur in many other systems and need to be accounted for in soil macrofauna biodiversity studies. 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