The relative importance of multiple invasion mechanisms

Aim: Plant invasions are driven by suites of factors in nature. To better understand the success of invasive plants, it is crucial to quantify the relative importance of multiple invasion mechanisms during plant invasions. Location: Eastern China. Methods: We surveyed 300 pairs of uninvaded and invaded quadrats by Solidago canadensis across its entire invaded range, quantifi ed its invasion intensities, and identifi ed the relative importance of 19 causal factors and 11 invasion hypotheses using the multimodel inference approach. Results: The relative contributions of all the 19 factors to S. canadensis invasion varied depending on different invasion intensities, so did the relative importance of 11 different hypotheses vary with invasion intensities. At the low invasion intensity, abiotic factors dominated over biotic factors; in contrast, biotic factors dominated over abiotic factors at the high invasion intensity. The role of S. canadensis-recipient community interactions was highly important. Main conclusions: These fi ndings suggest that the relative importance of multiple invasion mechanisms may be staged in a real invasion. Based on our results, we propose a novel nature-sieve hypothesis, which provides a universal framework for an understanding of successful invasion. Research Article The relative importance of multiple invasion mechanisms Yu-Fei Zhao1, Shu-Qi Zhou1, Zuo-Fu Wei2, Bao-Shan Zhao1 and Li-Jia Dong1* 1School of Life Science, Shaoxing University, Shaoxing 312000, China 2School of Life Science, Shanxi Normal University, Linfen, Shanxi 041004, China Received: 24 July, 2019 Accepted: 01 December, 2020 Published: 02 December, 2020 *Corresponding author: Li-Jia Dong, School of Life Science, Shaoxing University, Shaoxing 312000, China, E-mail:


Introduction
The publication of the book The ecology of invasions by animals and plants by Charles Elton [1] is commonly viewed as the beginning of modern invasion ecology [2]. Ever since, the studies on biological invasions have grown exponentially [3], and, in particular, what determines invasion success has fascinated ecologists so that dozens of infl uential hypotheses have been proposed [4]. Numerous studies have advanced our understanding of successful invasion, but we yet fail to get a complete picture because researchers usually study different pieces of the same invasion puzzle [5]. According to the traditional paradigm, plant invasions are infl uenced by three aspects: propagule pressure, invader traits, and ecosystem characteristics ( [3,[6][7][8]. As such, it is valuable to holistically understand the mechanisms underlying invasion success under different circumstances [3,9].
Plant invasion is conceptualized as a staged process [7,[10][11][12]. This process is controlled by a series of causal factors that can be different depending on invasion stages [7,12,13]. These factors constitute a basis for different invasion hypotheses.
Thus, we can explain invasion success using suites of factors or hypotheses, both of which shape invasion mechanisms; [2,4,9,14]. Although some ecologists have recognized that the processes driving plant invasions are likely to change over time (Dietz & Edwards, 2006) propagule pressure can be seen as constant [15]. Studies with Citation: Zhao  the same species across a larger range of sites would help to reveal the full suite of factors that affect invasion [9], and their relative contributions under different circumstances should be quantifi ed to predict or manage plant invasions [3,16].
Second, what is the relative importance of multiple invasion hypotheses? It has become increasingly clear that no one individual hypothesis is suffi cient to explain the invasion success of exotic plants [3,4,17,18]. Individual hypotheses partially overlap in mechanism and may contribute synergistically or interactively to invasions; different hypotheses are nonmutually exclusive and may also act simultaneously [3,14,18]

Study species and region
Solidago canadensis L. is among the most serious invasive plants in China, which was introduced from North America as an ornamental plant in 1935 [21]. This invader has now invaded large areas of southern China, such as Jiangsu, Shanghai, Zhejiang, Jiangxi, and Anhui; it occurs along roadsides or in abandoned agricultural fi elds and other disturbed habitats [22]. The entire invaded range belongs to a subtropical climate.
Our study region roughly covered an area of 800 × 800 km, and the elevation ranged from 3 m to 79 m.

Field survey and soil analyses
To quantify the extent of successful invasion and the relative importance of multiple invasion mechanisms, we surveyed 300 pairs of uninvaded and invaded quadrats by S. canadensis across its entire invaded range from July to September 2014 [22]. were determined. To measure these traits, we sampled fi ve roots and 30 leaves per quadrat. See Cornelissen, et al. [23] for the details about determining these traits. We sampled soils from each quadrat for measurements of their biotic and biotic properties.
For soil abiotic properties, we measured pH in a soil solution rate of 1:2.5 (soil:distilled water) using a pH meter (Sartorius PB-10 meter), soil texture using a laser particle size analyzer

Data analyses
To quantify the success of S. canadensis invasion, we coined a relative invasion index (RII) as follows: where Ci, Di, and Hi represent cover, density, and height of S. canadensis in invaded quadrats, respectively. We ranked RII values in the ascending order, and then categorized 300 invaded quadrats into three groups, representing three invasion intensities/stages. The quadrats from 1 to 100 were treated as intensity I, quadrats from 101 to 200 as intensity II, and quadrats from 201 to 300 as intensity III. We calculated the mean and standard error of RII values for each invasion intensity, and tested whether there were differences in RII among three intensities using a one-way analysis of variance.
RII values were treated as a response variable in the following data analyses.
where Vi and Vu represent a given trait in the pairwise invaded and uninvaded quadrats, respectively.
To evaluate the relative contributions of different determinants to the invasion success of S. canadensis, we selected the Multimodel Inference (MMI) approach, which is based on all the models in a priori set, not just the one estimated to be best, and therefore can provide more stable and reliable inference results than traditional statistical inference [29]. Additionally, this approach does not explicitly determine whether individual variables are statistically signifi cant but ranks parameters based on their ability to explain variation [30]. To contrast the relative importance of different invasion hypotheses, we standardized the contribution of factors that are involved in each invasion hypothesis. Specifi cally, we quantifi ed the per c apita contribution of a set of factors, thereby allowing us to compare the relative importance of different invasion hypotheses. See the fi gure legends of Figure  3 for more details.
All statistical analyses were performed using R version 3.3.1 [31]. The MMI approach was performed using dredge function in the package MuMIn [32].

Results
The RII values ranged from 29.8% to 57.3% at the invasion intensity I, ranged from 57.4% to 65.7% at the intensity II, and ranged from 65.8% to 86.3% at the intensity III; the grand mean of RII was 61.9 ± 0.7% [1 SE] ( Figure 1a). There were signifi cant differences in RII among three intensities ( Figure 1b: 46.5 ± 0.8% at intensity I; 61.8 ± 0.4% at intensity II; 77.2 ± 0.7% at intensity III). There were three patterns for the relative contributions of 19 factors to RII along the invasion intensity. First, the relative contributions fl uctuated slightly; four factors followed this pattern, that is, phenotypic variation (Figure 2a), soil texture (Figure 2i), and the changes in soil pathogens ( Figure 2r) and fungi/bacteria (Figure 2s). Second, the relative contributions fl uctuated modestly; fi ve factors followed this pattern, that is, leaf tradeoff (Figure 2b), soil pH (Figure 2h), soil-borne pathogens (Figure 2l), fungi/bacteria (Figure 2m), and the change in soil nutrients (Figure 2p). Third, the relative contributions of the remaining ten factors increased or decreased with invasion intensity dramatically.
At the intensity I, the predominant factors contributing to RII were MAT (Figure 2c The relative importance of different invasion hypotheses was assessed on a per capita contribution basis. Overall, no hypothesis maintained the same ranking among three invasion intensities, and the relative importance of each hypothesis always differed depending on invasion intensities (Figure 3). At the intensity I, the temperature constraint hypothesis (14.9%) was overwhelming, and the importance of other hypotheses ranged from 6.0% for invader-community interactions to 3.0% for soil pH (Figure 3a). At the intensity II, the biotic resistance hypothesis (9.9%) was predominant, and the importance of other hypotheses ranged from 5.4% for temperature to 3.3% for soil texture (Figure 3b). At the intensity III, the biotic resistance hypothesis (9.5%) was also predominant, and the importance of other hypotheses ranged from 6.8% for temperature to 2.7% for belowground mutualism (Figure 3c). Across all three intensities, the predominant hypotheses were: temperature constraint (8.8%) and reckless invader (8.8%), and the importance of other hypotheses ranged from 7.9% for increased resource availability to 3.0% for soil texture ( Figure  3d).

Discussion
The most novel contribution of our results is that 19 determining factors contributed differentially to the invasion success of S. canadensis and their contributions varied with invasion intensities. These fi ndings suggest that all the driving forces, particularly dominants, vary with invasion stages, because invasion intensities and invasion stages are strongly correlated [3,7]. For example, at the earlier invasion stage, abiotic factors (e.g. climate) dominated over other factors; at the later stage, biotic factors (e.g. plant diversity) dominated over other factors. We also observed that many non-dominant factors exhibited modest contributions to S. canadensis invasion.
This fi nding is in agreement with a previous meta-analysis that multiple factors lead to the success of invasive trees [9].
Additionally, the relative contribution of causal factors may depend on the scale of the investigation [5].
A second key result of our study was that the relative importance of multiple hypotheses varied with invasion stages and multiple hypotheses explained invasion success.
We quantifi ed the relative importance of 11 hypotheses based on the per capita contribution of the factors refl ecting a given invasion hypothesis. The temperature constraint hypothesis was overwhelming at the fi rst stage, and biotic resistance was predominant at the second and third stages. These results support the viewpoints that the relative importance of various  [7]. We found that many hypotheses explained invasion success similarly, suggesting that the success of a given invader can be explained with multiple hypotheses but not one only [13,14,17,19]. Additionally, leading hypotheses did not equally explain plant invasions. This phenomenon has been reported by Lamarque, et al. [9].
We observed that the S. canadensis-recipient community interactions played a key role in driving its invasion.
Specifi cally, the contribution of this interaction accounted for about 25% of the total contribution of all factors, regardless of at intensities I, II, and III or across three intensities. This role was tightly correlated with the changes in native species and soil abiotic properties. Although soil microbes commonly play an important role in plant invasions [33][34][35], we found that the contribution of changing soil microbes was relatively low.
Our results are exceptionally valuable because previous studies have overlooked the key role of this interaction.
We propose several possibilities that might explain our results. First, environmental factors constitute suites of fi ltering sieves; at a given phase, there are a set of factors that dominate over others and are most infl uential [36]. For example, at the earlier invasion stage, suitable climate is predominant; suitable biological environments are predominant at the later stage. Thus, there exist a series of fi ltering sieves, which vary with invasion stages. Second, multiple factors/processes contribute to invasion success. This is benefi cial to decrease the dependence of invasion success on the predominant determinants and to spread the potential risks of failure. In other words, multiple mechanisms facilitate successful invasion jointly. Lastly, if the invasion is processing into more closed communities, environmental pressures may favor invasive species [7].
Our fi ndings have three implications. One important corollary of our results is that plant invasion may be a stochastic but not deterministic process and invasion trajectories may be unpredictable. As some ecologists point out: invasions are intrinsically unpredictable because every case is unique [7]. The processes driving plant invasion are variable so that the knowledge of the mechanisms operating at the primary phase may be little use in predicting what happens later [7]. Thus, predicting invasion remains a challenge, and invasion history matters [37]. The second implication is that our fi ndings provide evidence for those apparent confl icting results. For example, in some cases abiotic constraints overwhelmingly determine invasion success [38], and biotic factors predominate in other cases [39]; inconsistent results may come from different invasion stages, although the same factors/hypotheses are addressed. Finally, one promising way of investigating how species' responses change from one stage to another is to study the ecology of invasive species along strong environmental gradients, particularly at a regional scale [7].
It is obvious that 19 factors are just a small proportion of determinants shaping invasion success. These factors can indicate multiple hypotheses that represent part of existing hypotheses [4]. Our fi ndings cannot exclude other invasion mechanisms because invasion processes are extremely complicated and dynamic. For example, herbivores play a key role in controlling plant invasions [40], allelochemicals from roots can facilitate plant invasions [14,19], disturbance is a key driver for invasion success [41], and clonal growth and propagation may be an advantage for clonal invaders. However, these mechanisms were not considered in our study due to the lack of data.   Figure 3: The relative importance of 11 invasion hypotheses during Solidago canadensis invasion. The ideal weed hypothesis is based on the contribution of phenotypic variation; reckless invader hypothesis based on the contribution of leaf tradeoff; temperature constraint hypothesis based on the contribution of MAT; biotic resistance hypothesis based on the mean contribution of native plant diversity; pH constraint hypothesis based on the contribution of soil pH; soil texture constraint hypothesis based on the contribution of soil texture; increased resource availability hypothesis based on the mean contribution of MAP and soil nutrients; belowground mutualism hypothesis based on the contribution of benefi cial microbes; soil-borne enemy reduction based on the contribution of soil pathogens; resource-enemy release hypothesis based on the mean contribution of MAP, nutrients, and pathogens; invader-community interaction hypothesis based on the mean contribution of the relative changes in native plant richness and soil properties.

Conclusion
Our study provides a fi rst basis for understanding how invader traits, climate, native plant diversity, soil abiotic and biotic properties, and interactions between invasive plants and recipient communities contribute to invasion success at different invasion intensities. Our fi ndings suggest that the relative importance of multiple invasion mechanisms may be staged. Based on our results, we put forward a novel naturesieve hypothesis. This hypothesis can link the internal attributes of invaders and external environmental sieves together.
Invader attributes include suites of intrinsic traits like growth potential, competitive ability, and releasing allelochemicals.
Environmental sieves are basically characterized by hierarchy.
For example, environmental sieves encompass biotic and abiotic ones, which contain multiple components/subcomponents.
The nature-sieve hypothesis is likely to provide a universal framework for complete understanding of invasion success in a real invasion.