Integrating precipitation, grazing, past effects and interactions in long-term vegetation change Morris, C., Badik, K. J., Morris, L. R., & Weltz, M. A. (2016). Integrating precipitation, grazing, past effects and interactions in long-term vegetation change. Journal of Arid Environments, 124, 111-117. doi:10.1016/j.jaridenv.2015.08.005 10.1016/j.jaridenv.2015.08.005 Elsevier Version of Record http://cdss.library.oregonstate.edu/sa-termsofuse Journal of Arid Environments 124 (2016) 111e117 Contents lists available at ScienceDirect Journal of Arid Environments journal homepage: www.elsevier.com/locate/jaridenv Integrating precipitation, grazing, past effects and interactions in longterm vegetation change Christo Morris a, *, Kevin J. Badik b, Lesley R. Morris c, 1, Mark A. Weltz a a USDA-ARS, Great Basin Rangelands Research Unit, 920 Valley Rd., Reno, NV, 89512, USA University of Nevada, Ecology, Evolution, and Conservation Biology Program, 1664 N. Virginia St., Reno, NV, 89557, USA c USDA-ARS, Forage and Range Research Lab, 696 North 1100 East, Logan, UT, 84322, USA b a r t i c l e i n f o a b s t r a c t Article history: Received 25 September 2014 Received in revised form 14 July 2015 Accepted 3 August 2015 Available online 15 August 2015 Determining the causes of vegetation change in arid and semi-arid environments can be difficult and may involve multiple factors, including disturbance, inter-annual climatic variation, soils, effects from years past and interactions between these factors. Theoretical models describing vegetation change in these systems have generally focused on a single aspect as the primary driver. The integration of these factors into a single model may be what is required to fully understand the drivers of vegetation change in desert systems. To test the contributions of these various factors, we analyzed a long-term (1979 e2011) vegetation dataset using multiple linear regression. While precipitation and livestock density were important variables for explaining vegetation change, the consistency with which past effects and interactions significantly improved the models underscores their importance. Past effects were included in every model except for shrub diversity, and included both precipitation and livestock density effects. A novel approach to addressing the interaction between grazing and precipitation was included by dividing precipitation by stocking density. Grass density had a high positive correlation with this metric, while shrub cover had a small negative correlation. These results support the integration of multiple factors to explain vegetation change. Published by Elsevier Ltd. Keywords: Artemisia tridentata ssp. vaseyana Bodie Hills Disturbance Succession Transition 1. Introduction Vegetation change in arid and semi-arid ecosystems can be can difficult to understand and can involve complex combinations of, and interactions between, inter-annual climatic variation, soils, disturbance, and effects from previous years. Theoretical models of vegetation change on rangelands have evolved over time from linear (Clements, 1916; Dyksterhuis, 1949) to multi-equilibrial state-and-transition models (Westoby et al., 1989; Laycock, 1991; Briske et al., 2005). Linear succession describes a smooth transition, driven by internal ecosystem processes, such as climate, while the state-and-transition models illustrate discreet states driven by external ecosystem process such as disturbance (Briske et al., 2003). Successional models adapted for rangelands were based * Corresponding author. Present address: Agricultural Sciences and Natural Resources Program, Oregon State University, One University Blvd., La Grande, OR 97850, USA. E-mail address: Christo.Morris@Oregonstate.edu (C. Morris). 1 Present address: Agricultural Sciences and Natural Resources Program, Oregon State University, One University Blvd., La Grande, OR 97850, USA. http://dx.doi.org/10.1016/j.jaridenv.2015.08.005 0140-1963/Published by Elsevier Ltd. on grazing as the driving factor (Briske et al., 2005) and drought was assumed to be additive (Walker, 1993). In other words, the effects of drought could be offset by a reduction in grazing. Additionally, both factors were assumed to temporarily arrest secondary succession (Briske et al., 2003). This approach was found to be inadequate to describe the multitude of states that can occur on a given site, which lead to the development of state-and-transition models (Allen-Diaz and Bartolome, 1998; Bestelmeyer et al., 2003; Briske et al., 2003); however, even as the state-andtransition model was being proposed, it was suggested that a more accurate description may lie somewhere between the extremes of these two models (Westoby et al., 1989). For instance, state-and-transition models focus on disturbance as drivers of change ignoring the contribution of climate and other internal ecosystem factors (Briske et al., 2003). However, inter-annual climatic variation is often considered a controlling factor in vegetation change, even more so than management (Fynn and O'Connor, 2000; West, 2003b; Mashiri et al., 2008). Rare or extreme climatic events can drive change in semi-arid systems (West et al., 1979; Walker, 1993; Holmgren and Scheffer, 2001) or in some cases the convergence of multiple rare events are responsible 112 C. Morris et al. / Journal of Arid Environments 124 (2016) 111e117 (Wiegand and Milton, 1996). It has also been suggested that the two competing models may address different temporal scales of change and that the integration of the two is what is necessary to formulate an accurate explanation of rangeland vegetation dynamics (Fuhlendorf et al., 2001; Briske et al., 2003). Change may occur episodically and at varying rates depending on interactions between disturbance, vegetation characteristics and inter-annual climatic variation spanning multiple years (Iglesias and Kothmann, 1997; Fuhlendorf et al., 2001; Curtin, 2002; Perlinski et al., 2014). Multiple studies have shown that the interaction between inter-annual climatic variation and disturbance, or between multiple disturbances, are required to understand vegetation change (Fuhlendorf and Smeins, 1997; West and Yorks, 2002). Previous research has suggested that what is missing to make the conceptual models predictive and applicable to management is the integration of the highly stochastic and variable climate regime that exists in semi-arid regions (Walker, 1993; Wiegand and Milton, 1996; Bestelmeyer et al., 2004; Hardegree and Van Vactor, 2004; Briske et al., 2005; McClaran and Wei, 2014). Another factor that may be important are lag effects (Walker, 1993; Wiegand and Milton, 1996). Lags at short time scales, such as the effect of the previous year's precipitation, have been shown to affect plant diversity (Adler and Levine, 2007), while cover for shrubs and grasses were shown to be correlated with precipitation from two to four years previous (Anderson and Inouye, 2001) and productivity of desert grasses can take 2e4 years to recover to expected levels after drought (Moran et al., 2014). Most ecological studies last less than six years (Tilman, 1989); yet, on arid and semi-arid rangelands it may take as long as 20e25 years for a site to receive a representative range of precipitation (West, 2003a). Therefore, long-term data are necessary to detect phenomena that would otherwise be beyond the scope of human observation, such as slow, sporadic or rare events (Hobbie et al., 2003). The use of permanent plots is considered a valuable method for this type of temporal analysis (Stohlgren, 2007), though they are a rare resource. Long-term studies which include disturbances are considered key to understanding rangeland systems (Allen-Diaz and Bartolome, 1998). The objective of this study is to investigate the role of both precipitation and grazing, along with their interactions and past effects, with changes in vegetation occurring over a 30-year span of data collected from permanent plots. precipitation for the water year (Oct.eSep.) has declined by approximately 44%, while winter (Dec.eMar.) precipitation has declined by 33% and spring precipitation (Apr.eJun.) has declined by 24% (Morris et al., 2014). The majority of the Bodie Hills area is managed by the USDI Bureau of Land Management (BLM) and is organized into four grazing allotments (Aurora Canyon, Bodie Mountain, Mt. Biedeman and Potato Peak) totaling approximately 38,000 ha. Since 1962 California Department of Parks and Recreation has managed approximately 400 ha around the historical town site of Bodie as Bodie State Historic Park. This site was a major mining area from 1875 until the mid-1880's, producing $70 million in gold and silver over the years and hosting a peak population of between 7000e12,000 people in 1880 (Sprague, 2003). Mining activity continued intermittently until World War II, at which point the town was deserted. Despite the pattern of resource over-exploitation associated with historical mining operations (Young and Budy, 1979; Sprague, 2003), survey records from 1942 describe range conditions in the Bodie Hills area as generally good and “underutilized” (Bell, 1943). BLM records from the late 1950's indicate that the number of sheep animal unit months (AUM) in the Bodie Hills area ranged from 16,000e18,000 (BLM, 1958, 1959, 1960) plus an additional 500e700 cattle AUMs. In 1964 the number of sheep AUMs on the Aurora Canyon, Mt. Biedeman and Potato Peak allotments alone was around 7500, plus an additional 1200 cattle AUMs (BLM, 1964). During the 1960's and 1970's the total number of AUMs decreased and many of the allotments were converted from sheep to cattle grazing. Over the last 30 years, the BLM has continued to reduce stocking rates for both sheep and cattle on all four allotments in the Bodie Hills (Fig. 1; BLM, 2011, 2012). During this time period, sheep have generally been herded within each allotment, while cattle have been allowed to graze freely, from June through October. Adjustments in AUMs were periodically made by the BLM to account for dry years, but the correlation between AUMs and precipitation was low (R2 ¼ 0.04) for current water year and total stocking rate [data not shown]). In addition to domestic livestock, wild grazers and browsers reside in the Bodie Hills (BLM, 2008), 2. Methods 2.1. Site description The Bodie Hills are situated on the CaliforniaeNevada border southeast of Bridgeport, CA and north of Mono Lake. Elevations range from 2100 m to 3100 m. Parent materials originate from the Pliocene and are primarily of volcanic origin, including andesite, dacite, rhyolite and welded tuff (O'Neil et al., 1973). Soils consist of sandy, ashy, and gravelly loams with clays and cobbles at depth. Depth to a restrictive layer is generally greater than 200 cm, though in some cases shallow soils can be discerned based on shifts in vegetation type and overall productivity. Mean temperature for the period from 1965 to 2011 was 3.18 C, measured at an elevation of 2550 m (WRCC, 2010). Over this time period, mean maximum annual temperature has increased by about 2.1 C and mean minimum annual temperature has increased by about 0.39 C (Morris et al., 2014). Average annual precipitation was 323 mm for the period 1965e2011, also measured at an elevation of 2550 m. The majority of precipitation falls as snow during winter months. Over the past 45 years average total Fig. 1. Changes in livestock numbers and precipitation from 1979 to 2011 in the Bodie Hills, CA. The dashed line in the lower panel shows the trend line for precipitation over this time frame. C. Morris et al. / Journal of Arid Environments 124 (2016) 111e117 including mule deer (Odocoileus hemionus), pronghorn antelope (Antilocapra americana), feral horses (Equus caballus), greater sagegrouse (Centrocercus urophasianus), sagebrush vole (Lemmiscus curtatus), pygmy rabbit (Brachylagus idahoensis) and American pika (Ochotona princeps). Current vegetation consists primarily of montane sagebrushsteppe (Artemisia tridentata ssp. vaseyana (Ryd.) Beetle) communities, punctuated by aspen (Populus tremuloides Michx.) stands at higher elevations, and mountain mahogany (Cercocarpus ledifolius Nutt.), tobacco brush (Ceanothus velutinus Douglas ex. Hook), wet m, meadows and pinyon-juniper (Pinus monophylla Torr. & Fre Juniperus osteosperma (Torr.) Little) woodlands at lower elevations. Herbaceous species include Thurber's needlegrass (Achnatherum thurberianum (Piper) Barkworth), needle-and-thread (Hesperostipa comata (Trin. & Rupr.) Barkworth), Sandberg bluegrass (Poa secunda J. Presl.), bottlebrush squirreltail (Elymus elymoides (Raf.) Swezey), Lo € ve), prairie basin wildrye (Leymus cinereus (Scribn. & Merr.) A. Junegrass (Koehleria macrantha (Ledeb.) Schult.), Astragalus (Astragalus sp.), granite prickly phlox (Linanthus pungens (Torr.) J.M. Porter & L.A. Johnson), phlox (Phlox sp.), Anderson's lupine (Lupinus andersonii S. Watson), Great Basin lupine (L. argenteus Pursh) and the locally endemic Bodie Hills cusickiella (Cusickiella quadracostata (Rollins) Rollins) (Provencher et al., 2009; Low et al., 2010). Vegetation at the time data collection began was characterized by low shrub, grass and forb cover (Morris et al., 2014). Over the course of the dataset, foliar cover of shrubs across all four allotments increased from 3% to 20%, while basal cover of grasses increased from 3% to 8% (Fig. 2). Mean shrub density showed a slight declining trend for one allotment, but doubled from 2.5 to 5 shrubs m2 for the other three, though the results were nonsignificant. Grass density fluctuated, but remained overall unchanged for the Bodie Mt. allotment, but increased significantly in the other allotments 113 from 15 to 100 plants m2. Shrub diversity across all four allotments trended upward, while grass diversity remained virtually unchanged. 2.2. Vegetation sampling and data manipulation Twenty-one permanent plots of two sizes (either 2.25 m2 or 0.83 m2) were established in either 1969 or 1973 and measurements for cover and density along with plant position were recorded by BLM employees. Cover values were based on ocular estimates and were aided by dividing each plot into nine subsections. Each subsection was overlaid by a grid with 7.5 cm 7.5 cm cells to aid in accurate cover estimates (Habich, 1992). Foliar cover was estimated for shrubs and forbs, while basal cover was estimated for grasses. Within each plot density values were collected by counting all individual shrubs, mature (reproductive) perennial grasses, perennial grass seedlings and perennial forbs. Annual species were not included in density calculations. For analysis, density data from the smaller plots were scaled proportionally to match the area of the larger plots. Measurements were taken by BLM employees once for a given sample year during the months of July, August, September or October and were repeated at irregular intervals ranging from 1 to 13 years until 2011. We calculated diversity using Shannon's Diversity Index (SDI) based on cover values of each species within a plot (Shannon, 1948), which accounts for both species number and evenness of distribution. The importance of adequate training to reduce observer error in long-term datasets is known (Stohlgren, 2007). The issue of observer error was addressed in this dataset by using welldocumented methods, by breaking the sample plots into smaller units and by using the same datasheets over the course of data collection. We excluded plots that fell within areas dominated by Artemisia arbuscula, because of differences in overall productivity and potential differences in responses to disturbance and climate. The remaining 18 plots spanned all four allotments and were all on sites dominated by A. tridentata ssp. vaseyana and categorized as a montane sagebrush steppe plant community (Provencher et al., 2009; Low et al., 2010). 2.3. Statistical analysis Fig. 2. Mean vegetation cover for Bodie Mountain allotment. Error bars represent one standard error. P-values are displayed for datasets that were analyzed with ANOVA and were significant at a ¼ 0.05. Means with letters in common are not significantly different at a ¼ 0.05. Cover values are based on foliar measurements for all groups except for grasses, where it is based on basal area. For non-normal data, data that had a non-significant model fit or data that had no significant differences between means, a trend line is displayed along with the slope of the line (adapted from Morris et al., 2014). In order to understand what factors were associated with changes in vegetation cover, density and diversity, we ran stepwise multiple regressions for shrub, grass, perennial forb and annual forb cover, density and diversity using JMP Version 9.0 (SAS Institute Inc., Cary, NC, 1989e2012). Data were transformed to meet the assumptions of normal data distribution using Box-Cox transformations. Data that could not be successfully transformed were not analyzed. Model selection was based on the lowest value of Akaike Information Criterion (AIC) (Akaike, 1987), which balances the goodness of fit for the model with the number of parameters. Model terms were selected from a variety of independent variables as well as modifications to these variables (Table 1). It should be noted that we utilized the stepwise approach in order to explore a broader suite of variables than are traditionally examined in modeling vegetation change in semi-arid environments. While the magnitude and direction of variables in a stepwise regression is dependent on the other variables in the models, this approach provides a method to consider these less-common factors. Interactions between precipitation and grazing were evaluated by crossing precipitation and stocking density for current water year (WY), previous WY, and two-, three- and five-year averages within the model. An inverted interaction was calculated by dividing the various precipitation terms by their respective stocking density term. This calculation allowed for a more meaningful 114 C. Morris et al. / Journal of Arid Environments 124 (2016) 111e117 Table 1 Independent variable terms plus modifications selected from for inclusion in stepwise multiple regression models. Independent variables Water year precipitation (WY) Winter precipitation Spring precipitation Cattle density Sheep density Total livestock density Sand content Clay content Plot Sampling day Modifications Previous year(s)a Averages 1 1 1 1, 2 & 3 1, 2 & 3 1, 2 & 3 2, 2, 2, 2, 2, 2, 3 3 3 3 3 3 & & & & & & 5 5 5 5 5 5 year year year year year year Interactionsb Standard, Inverted Standard, Inverted Standard, Inverted a Refers to lag effects. Interactions were between independent variables, their modifications and the corresponding cattle, sheep and total livestock density (e.g. 3-year average of WY precipitation and the 3-year average of sheep density). b interpretation of extreme events than a multiplicative interaction since it highlights the periods when precipitation and grazing were not synchronized (e.g. precipitation was low, but grazing was high or vice versa). This is not a standard interaction, but it fits the general definition of an interaction, whereby the effect of one independent variable depends on the value of a second independent variable (Sokal and Rohlf, 1981). For years when stocking rates were zero for either class of livestock, a proxy value of 0.0001 was used to allow for the calculation. This value was at least two orders of magnitude lower than the lowest stocking density within the dataset. Stocking density was based on the number of AUMs calculated for each allotment for each year divided by the area of the allotment. Grazing data was not available prior to 1979 for Bodie Mountain allotment and before 1976 for the other allotments, so those years (including the years required to calculate averages) were excluded from analysis. This resulted in n ¼ 129 for all models. Since climate data were only collected at one location in the Bodie Hills area, modeled precipitation data at the 4 km scale were used to establish unique values for each plot based on elevation and location (PRISM, 2012). Year and stocking rate were highly correlated (R2 ¼ 0.55), so whichever one was the most biologically relevant for each vegetation growth form was selected for inclusion in the model (Graham, 2003). Shrubs are utilized less by livestock in the summer and are slower growing, so year was considered the more relevant factor. Herbaceous species are more impacted by livestock utilization and grow much more quickly, so stocking density was considered the more relevant independent variable. Due to the difference in factors affecting woody and herbaceous growth forms, data could not be combined to analyze for total vegetation cover, density or diversity. 3. Results For cover data, the top model for shrubs had an adjusted R2 of 0.70 and grasses had an adjusted R2 of 0.49 (Table 2). Cover data for both perennial and annual forbs were unable to be fitted to a statistical model and were excluded from analysis. For shrubs, the effect of plot had the highest coefficient, followed by year, which had a high positive relationship with shrub cover. The two-year average of water year precipitation divided by total livestock density was negatively associated with shrub cover, while there was a slight positive relationship with the two-year average of spring precipitation. Grass cover had a positive relationship with current year winter precipitation and a negative coefficient with current year sheep stocking densities. The effect of cattle stocking densities was not as strongly correlated as sheep and was equal to the plot effect. Grass cover was positively associated with soil sand content and negatively associated with winter precipitation from two years previous. Lastly, there were small positive correlations with overall stocking density from two years previous, current year spring precipitation and soil clay content. Mature grass was the only density data that could be fitted to a model and had an adjusted R2 value of 0.37. The term with the highest effect was plot, followed by the 2-year average of winter precipitation divided by sheep density. Percent soil sand content and the 3-year average of winter precipitation both had similar small effects, though sand was positively correlated while winter precip was negative. For shrub diversity the model had an R2 value of 0.55 with plot having the largest effect, followed by a positive correlation with year. For grass diversity the model had an R2 value of 0.40, with plot again having the largest effect. There were small positive correlations with total livestock density and the 3-year average of spring precipitation. 4. Discussion This analysis supports the integration of disturbance, precipitation, past effects and interactions into understanding vegetation change over time. This finding is consistent with studies from drier climates (Fuhlendorf and Smeins, 1997; Fuhlendorf et al., 2001; Yao et al., 2006; Mashiri et al., 2008; Butterfield et al., 2010; Moran et al., 2014). Plot, grazing and precipitation had the largest coefficients, but the consistency with which past effects appear highlights their importance. Some form of past effect was significant in every model except for shrub diversity. The interaction between grazing and precipitation was significant in two models in the form of the inverted interaction. This suggests that this metric may have utility in future applications. Plot was a significant factor in every model and consistently had a high coefficient. Although the use of permanent plots in multiple regression violates the assumption of independence between samples, we used it to account for the heterogeneous nature of shrublands, the long lifespans of desert plants (both shrubs and herbaceous plants) and the rareness of recruitment events (West, 1979; West et al., 1979). As such, the significance of plot in the models indicates that plant cover and density are likely to be correlated with previous sampling events. For example, plots with grasses or shrubs already present were very likely to have the same plants present later in the dataset, while plots with high cover of bare ground were likely to continue to have high cover of bare ground. 4.1. Shrubs The large effect of plot on shrubs is related to the spatial heterogeneity of shrub-dominated systems and the long-lived nature C. Morris et al. / Journal of Arid Environments 124 (2016) 111e117 115 Table 2 Results from stepwise multiple regression. Coefficients for terms are standardized for comparison within each whole model based on a mean of zero and variance of one. Dependent variable Growth form Term Coefficient P-value Whole model Adj R2 Cover Shrubs Plot Year 2-year avg. of WYa precip./total livestock density 2-year avg. of spring precip. Winter precip. Sheep density Cattle density Plot % sand 2 years winter precip. 2 years total livestock density Spring precip. % clay Plot 2-year avg. of winter precip./sheep density % sand 3-year avg. of WY precip. Plot Year Plot Total livestock density 3-year avg. of spring precip. 0.68 0.54 0.20 0.11 0.55 0.51 0.34 0.34 0.31 0.30 0.19 0.12 0.11 0.54 0.46 0.22 0.20 0.69 0.23 0.58 0.19 0.13 <0.0001 <0.0001 0.008 0.0345 <0.0001 <0.0001 0.0023 <0.0001 0.132 0.0028 0.0168 0.1618 0.111 <0.0001 <0.0001 0.0056 0.0063 <0.0001 0.0001 <0.0001 0.0084 0.0576 0.70 Grass Density Grass Diversity Shrub Grass a 0.49 0.37 0.55 0.40 WY ¼ water year. of desert shrubs (West et al., 1979). A plot that was initially located in an interspace between shrubs is much less likely to have high shrub cover, even 30 years later; whereas a plot that initially contained shrubs would be much more likely to have high shrub cover later on. The positive correlation with time is not surprising, especially since shrub cover was so low at the beginning of the dataset. The negative effect of the interaction between the two-year average of water year (WY) precipitation divided by total livestock density is more difficult to interpret. Since the sign of the coefficient is negative, that means that the highest shrub cover is associated with years having low precipitation and high stocking densities, while low shrub cover is associated with high precipitation and low stocking densities. It may seem counterintuitive that shrub cover would be high at times of low precipitation, unless we consider that the combination of low precipitation and high stocking densities would also result in the lowest cover of grasses. We see evidence of this in the positive association of grass cover with winter precipitation and the negative association with both classes of livestock, and the positive association of grass density with the two-year average of winter precipitation divided by sheep density. The negative relationship between shrubs and grasses can best be explained by competition for soil and water resources (Caldwell et al., 1987). The correlation between shrub cover and spring precipitation was unexpected, considering that spring precipitation is associated more with shallow soil moisture and shrubs are generally associated with deeper soil moisture extraction (Ogle and Reynolds, 2004). While A. tridentata is known to have both shallow and deep roots and can extract soil moisture from up to 2.5 m in depth (Campbell and Harris, 1977), shifting precipitation from winter to spring, while maintaining overall quantities did not increase growth for A. tridentata (Bates et al., 2006), illustrating that spring precipitation doesn't confer any particular advantage. However, young shrubs are known to experience more water stress during the summer season than adult shrubs, including A. tridentata (Campbell and Harris, 1977), due to a less-developed root system. This would make young shrubs more dependent on and responsive to spring and summer precipitation for growth and survival. So, the growth of shrubs from spring precipitation may be the contribution of young shrubs responding to decreased or prolonged spring drought. There is less research available on water relations for Purshia tridentata, though evidence suggests a similar pattern. In a snow depth manipulation experiment, increased snow with subsequent higher soil moisture levels lasting slightly longer into the spring did not increase cover of P. tridentata, even after 50 years (Loik et al., 2013). P. tridentata is thought to have few shallow roots and responded more slowly to summer precipitation events than A. tridentata (Loik, 2007). It also relies primarily on deep soil moisture from winter snowfall, leaving seedlings susceptible to drought until their roots extend to greater depths. 4.2. Grasses The stronger effect of winter precipitation on grasses as opposed to spring precipitation was surprising, since herbaceous plants have shallower root systems capable of rapidly capitalizing on spring and summer precipitation before evaporation occurs (Schenk and Jackson, 2002) and winter precipitation is associated with deeper soil moisture (Ogle and Reynolds, 2004). However, it is also noted that seasonality of precipitation also effects rooting depth in addition to mean annual precipitation, which may be important for a site like Bodie, where the majority of precipitation falls as snow. Of herbaceous plants, grasses are one of three families that root significantly deeper than the global average (Schenk and Jackson, 2002). Whether this is deep enough to tap winter precipitation reserves in the soil, or whether the grasses in the Bodie Hills are rooting deeper than average would require additional research. The negative correlation between grass cover and both sheep and cattle grazing was expected. Herbivory directly reduces plant mass and photosynthetic capacity and can indirectly reduce growth through altered competitive interactions (Caldwell et al., 1987; Briske and Richards, 1994). The more negative association of sheep over cattle, may be partially attributed to the negative effects of trampling by sheep (Laycock et al., 1972). The effect of plot was lower for grasses than for shrubs, but still substantial and related to the long-lived nature of mature desert grasses (West, 1979; West et al., 1979). Plots that had grasses established initially may have had the same individuals present decades later. Since the conditions for establishment can be rare and episodic (Holmgren and Scheffer, 2001), plots that already had existing grass cover would 116 C. Morris et al. / Journal of Arid Environments 124 (2016) 111e117 have been the most likely to increase grass cover. The positive correlation with both sand and clay content of the soil may be a statistical anomoly since the soils fell mostly into the sandy loam and sandy clay loam categories and didn't span the full range of textural classes. The two remaining factors for grass cover both relate to past effects and are difficult to explain. The negative relationship with winter precipitation two years previous may be related to competition with other growth forms, but why the effect would be delayed is unknown. A study using long-term data in a Chihuahuan desert grassland found a negative correlation with grass cover and current-year precipitation and also speculated that the effect was mediated through competition for soil moisture (Yao et al., 2006). The positive relationship between grass cover and total livestock density from two years previous could be characterized as a compensatory response to grazing (Ferraro and Oesterheld, 2002), but this effect has only been documented over a period of months (Oesterheld and McNaughton, 1991). It is not known if the effect would span multiple years. The effect of plot on mature perennial grass density is the same as for grass cover; plots that initially had grasses established were more likely to have those same individuals in subsequent samplings. The positive association with the 2-year average winter of precipitation divided by the 2-year average of sheep density means that for years when winter precipitation was low and sheep density was high, grass density was low; conversely, when winter precipitation was high and sheep density was low, grass density was high. This mirrors the positive correlation with winter precipitation and negative correlation with sheep density for grass cover, except that the effect seems to be amplified with respect to density to the point that it emerges as an interaction. This effect may be due to the cover data being based on basal area, rather than foliar cover, which is much less variable and less affected by grazing in the short term than foliar cover (Elzinga et al., 1998). It is unclear why mature perennial grass density, which would usually be less variable than even basal cover (Elzinga et al., 1998), is exhibiting the interaction. Regardless, these results, along with the negative correlation between shrub cover and this interaction, highlight the importance of adjusting stocking rates based on received precipitation in order to preserve grass and reduce the tendency for grazing to increase shrub cover on late-seral phases due to decreased competition from grasses (Evers et al., 2013). The positive correlation with soil sand content suggests that the higher infiltration rates of sandier soils confer an advantage for grasses, but again, since not very many texture classes were represented, the effect may be limited within a small range of textures. The negative correlation of grass density with the three-year average of WY precipitation again may be related to shrub competition but is unclear in this analysis. Two factors that weren't included in this analysis that have been found to be important in other analyses are slope and topographic position (Fynn and O'Connor, 2000; Alados et al., 2004). The diffuse nature of the reductions in grazing over time also made it impossible to test for longer-term lag effects related to demographic processes, which have been found to last from 15 to 25 years after the complete cessation of grazing in semiarid systems (Anderson and Holte, 1981; Somodi et al., 2004). In addition, the use of plots as the experimental unit instead of grazing management unit presents a case of pseudo-replication (Hurlbert, 1984). Access to permanent plots in a greater number of grazing units, as in other studies (Mashiri et al., 2008), would have been preferred but was unavailable. Given the large allotment sizes (2000e22,000 ha) and dispersion of our plots we feel enough heterogeneity in soil type, elevation (2308e2810 m) and precipitation (325e485 mm year1) was captured to interpret our results despite probable statistical dependence in both time and space of the plots. 5. Conclusion While precipitation and livestock density were important variables for explaining vegetation change, the consistency with which past effects, such as lag effects and averages, and interactions significantly improved the models highlights the need for researchers and managers to examine variables beyond those traditionally associated with vegetation change. In some cases the lag effects resulted in a negative correlation with precipitation, which we speculated was related to competitive interactions. Dividing precipitation by stocking density, as opposed to a traditional interaction, was the only significant interaction. This is a novel approach to investigating the relationship between these two factors, but provides a more meaningful interpretation than the traditional approach. It also suggests more work is needed to understand the relationship between stocking rates, precipitation and vegetation dynamics. Acknowledgments We would like to thank all the BLM employees who helped collect and archive the data used in this analysis as well as the employees from the National Archives Administration who helped recover information on past stocking rates. We would also like to thank two anonymous reviewers who offered insightful comments on an early version of this manuscript. References Adler, P.B., Levine, J.M., 2007. 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