Introduction

On-site domestic sanitation is a management mode to treat the wastewater. It can be executed by different methods. The decision to choose a method is made according to local conditions of the site. These standard methods ensure the collection, treatment and evacuation of domestic wastewater, near the house.

In France, 5.4 million homes, nearly 15 % of the population uses this system to purify the domestic wastewater. In general, the on-site treatment system (UOSTS) will be designed, installed and maintained so as to present no risk of soil contamination or water pollution. It should be noticed that the treated wastewater can be reused for watering the yard gardens or any special use such as shellfish farming and swimming (Brigand and Lesieur 2008).

The contaminants in the soil do not necessarily move at the same rate as water. But the transit time of water represents a lower limit of transport time of certain contaminants. Otherwise, it is important to know and describe the terms of water flow in soil under a sand pack (infiltration system) in order to characterize the soil capacity to allow to transport the residual dissolved and suspended substances (Calvet 2003).

Current recommendation for the design and management of infiltration structures of treated wastewater and storm water runoff are mainly based on hydraulic criteria of the structure. So far, little data are available with regard to the intensity of the disturbance caused by the heterogeneity of subsurface soil.

The analysis of the signals of water content and matrix potential of soil allows understanding the influence of an undrained on-site treatment system (UOSTS), with a sand filter and distribution drains, on the water flow distribution in underlying soil.

Infiltration of treated waters may greatly depend on large continuous openings (macropores) in field soils. Such voids are sometimes known to be continuous for distances of at least several metres in the vertical and lateral direction. These voids allow for rapid movement of water, solutes and pollution through the soil.

Researchers have not yet reached an agreement on the definition of macropores (Beven and Germann 1982; Flury et al. 1994). According to certain publications, a macropore is generally regarded as a pore with a radius ranging from 0.03 to 3 mm (Beven and Germann 1982; Liu et al. 2001). Thus complex relationship is expected between void geometry and flow characteristics at some microscopic scales.

It is more probable that water moves through large pores under saturated conditions and this influence the saturated hydraulic conductivity of soils, even though they may slightly contribute to the total porosity of soil. When structural pores are larger than those attributed to the soil matrix, the movement of water through the macropores, once initiated, may be much faster than equilibration of potentials in a respective volume of soil matrix. In this case, the potential gradients associated with the two types of pores will be different.

In clayey soils, the clay particles themselves cohere, entrap or bridge between larger sand and soil grains and compose the aggregates. These types of binding are all important and pathways are created between them (the preferential pathways); a portion of the water is percolated by these macropores before the body of the soil has become saturated; this is especially the case if rain falls quickly or there is flash flow infiltrating in the soil (Lawes et al. 1982). From a certain clay and silt content, soils tend to crack (macropores) and this phenomenon can be expected to a certain extent using the following formula proposed by Hénin (1976), 2 C + L > 60; where C is the clay content and L is the silt content.

Another cause of development of macropores is due to the presence of the rock fragments (stones) in the soil. The rock fragment is generally defined as all particles larger than 2 mm (Gee and Or 2002; Soil Survey Staff 2010). Therefore, the word “stones” is employed to designate this fraction. According to Tetegan et al. (2011), stony soils are soils containing over 35 % in volume of soil particles larger than 2 mm (FAO 2006; Soil Survey Staff 2010). Approximately 30 % of the lands in Western Europe and 60 % in the Mediterranean area are covered by these soils (Poesen and Lavee 1994; Cousin et al. 2003). The wide distribution of this type of soil makes a great interest in how it functions, but characterizing stony soils remains difficult.

Two objectives have been envisaged for this paper: (1) the methodology of conception and realization of an UOSTS pilot site; (2) valorisation of this installation by studying the terms of water flow in the underlying stony soil. The first objective is valid for any kind of soil and the second one arises from the local and technical conditions of this pilot site which is specific to the type of soil which we faced in this site. In order to provide some explanations, a literature review on the effect of stones in the soil on physical and hydraulic properties of the soil is presented in the state of the art. These objectives turn around the evaluation of infiltration imposed by an UOSTS into the underlying heterogeneous stony soil which is addressed to find the appropriate answers to the following questions:

  • Is it possible to identify the effect of embedded stone fragments on soil hydraulic conductivity?

  • What variability in infiltration rates can be expected under an UOSTS which is characterized by heterogeneous, stony soil, with a fine soil matrix between the stone fragments?

  • What is the influence of the UOSTS on the spatial distribution of the infiltration rate in the underlying soil?

State of the art

Stones play an important role in the soil as they modify its pore space. In natural soils, an increase in the content of stone fragments is correlated to a decrease in the bulk density of fine soil matrix (Torri et al. 1994). This decrease is due to extra porosity resulting from contact between the stones and the fine soil matrix, which in turn takes place because the space between the stones is partially filled with fine soil matrix or because the larger particles prevent the smaller ones from packing (Stewart et al. 1970; Poesen and Lavee 1994). In very humid state, stones affect the pore space of the mixtures only if there are many of them, although Spomer (1980) suggested that drying the mixtures that contain a clay soil leads to the formation of pores as a result of the shrinkage of fine soil matrix between stones. Moreover, in stony soil with clay content greater than 30 %, the aggregation and shrinkage of the fine matrix leads to the formation of macropores due to cracking (Towner 1988; Fiès et al. 2002). Such pores will modify the soil water retention capacity compared with soil without stone.

Stone fragment content, size and position in the soil, may affect infiltration. The presence of stone fragments at the soil surface usually results in a decrease in the infiltration rate (Childs and Flint 1990; Ma et al. 2010; Ma and Shao 2008) since they reduce the surface available for flow transport in soil. Nevertheless, stone fragments can also increase the infiltration rate, by the creation of preferential flow (PF) pathways at the soil matrix–stone interface; the latter is effective only at high water content.

Shi et al. (2012) showed that the increase in the volumetric content of stones in soil increases the average radius of macropores and the density of macropores; thus, it increases the rate of infiltration.

Urbanek and Shakesby (2009) argued that, in the case of large stone contents, flow pathways develop along sand–stone interfaces and can provided continuous PF paths as there are sufficient stone-to-stone connections. The distribution and alignment of the stones, especially at an intermediate stone content, are important for promoting water movement. Zhou et al. (2009) studied the effects of different stone fragment contents in a soil on infiltration, saturated hydraulic conductivity K s and solute transport. The in situ tests showed that both infiltration rates and the saturated hydraulic conductivity initially decreased with increasing stone fragment content to minimum values and then increased. Verbist et al. (2012) demonstrated that stone fragment content is correlated significantly to both saturated and unsaturated conductivities, probably due to a positive correlation between stone content and coarse lacunar pore space. In a numerical modelling which was conducted by Cousin et al. (2003), in calcareous soils, they found that percolation was underestimated when the stone fragments were neglected and the soil was considered only as fine earth.

Gómes et al. (2001) used four different measurement methods (falling-head well permeameter, pressure infiltrometer, tension infiltrometer, and rainfall simulator) for measuring the infiltration rate of soil. They were able to detect significant differences in infiltration rates between and under olive trees in southern Spain with each of the methods used which is related to the extension of the roots under the trees and so creation of PF in soil.

Techniques for describing, inferring, or quantifying PF can be classified into four groups: (1) observing and quantifying structures likely to cause PF; (2) measuring water distribution or water movement; (3) investigating gas movement and (4) analysing images. Different techniques in each group can be described with different advantages and disadvantages. An extensive description of each technique was discussed by Allaire et al. (2009).

Materials and methods

Field site

The field site of this study is located in a little valley in France (03°26′28.3″E, 47°39′52.8″N) and it consists of a soil with a fine matrix containing stone fragments. This heterogeneous soil developed on calcareous parent material of the Upper Jurassic which is common in the Paris Basin. In terms of lithology, the stone fragments of the site are of the Portlandian limestone. Because of the relatively steep slope at both side of the valley (the site is located at the foot of this slope), it seems that the soil is a colluvium which is the result of the movement and accumulation of fragments issued from the Portlandian layer (J9) deposited on Kimmeridgian marls. The colluvium made of a clay loam soil with the calcareous fragments, has been accumulated at the surface along the limit between the outcrops of the two geological units. According to United stated department of agriculture (USDA) soil classification, it is an Entisoil. In this soil, the absence of pedogenic horizons may be the result of an inert parent material, such as quartz sand, in which horizons do not readily form; slowly soluble, hard rock, such as limestone, which leaves little residue; insufficient time for horizons to form, as in recent deposits of ash or alluvium; occurrence on slopes where the rate of erosion exceeds the rate of formation of pedogenic horizons; recent mixing of horizons by animals or by ploughing to a depth of 1 or 2 m; or the spoils from deep excavations (Fig. 1).

Fig. 1
figure 1

Soil profile of the pilot site. The heterogeneous mixture of pebbles and fine soil in absence of horizon

The UOSTS ensures independent collection, treatment and evacuation of domestic wastewater near the house by spreading the pre-treated wastewater in five drains on a sand pack and then the treated wastewater percolates in the soil under the system (Figs. 2, 3). The bottom of the excavation of a new UOSTS in the yard of a house was selected to collect soil water, collect the soil samples, and carries out the permeability tests and to install the hydrodynamic monitoring probes (Nasri et al. 2012).

Fig. 2
figure 2

General view of the pilot UOSTS and instruments

Fig. 3
figure 3

Plan of the probes set up at the bottom of the excavation

Field measurements

At the beginning of installing the UOSTS, the bottom of the excavation (120 cm depth) was gridded into 25 square meshes of 1 m2 and then 15 soil samples were collected from the first 15 m2 of the excavation (1 sample of 10 kg for each m2 on average). Simultaneously, in the middle of the each m2, 15 permeability tests were done with a Guelph permeameter device in order to measure the local saturated hydraulic conductivity K s of the soil.

Concerning the K s measurements, it is important to consider the measurement method and the subsequent data analysis. Reynolds et al. (2000) compared three methods: pressure infiltrometer, tension infiltrometer, and the constant-head soil core method to determine saturated hydraulic conductivity and found very little correlation among the methods used. Mohanty et al. (1994) observed similar differences when comparing the constant-head well (Guelph) permeameter, falling-head well permeameter, tension infiltrometer, concentric ring infiltrometer, and constant-head soil core methods.

After Elrick et al. (1989) the hydraulic conductivity by Guelph permeameter is calculated with the following equation:

$$ K_{s} = {Q \mathord{\left/ {\vphantom {Q {(A + ({B \mathord{\left/ {\vphantom {B {\alpha^{*} )}}} \right. \kern-0pt} {\alpha^{*} )}}}}} \right. \kern-0pt} {(A + ({B \mathord{\left/ {\vphantom {B {\alpha^{*} )}}} \right. \kern-0pt} {\alpha^{*} )}}}}) = {{CQ} \mathord{\left/ {\vphantom {{CQ} {(2\pi H^{2} + \pi a^{2} C + {{2\pi H} \mathord{\left/ {\vphantom {{2\pi H} {\alpha^{*} )}}} \right. \kern-0pt} {\alpha^{*} )}}}}} \right. \kern-0pt} {(2\pi H^{2} + \pi a^{2} C + {{2\pi H} \mathord{\left/ {\vphantom {{2\pi H} {\alpha^{*} )}}} \right. \kern-0pt} {\alpha^{*} )}}}} $$
(1)

where Q (L T−1) is the steady intake rate of water, H (L) is the constant height of the ponded water in the well, α* take on specific forms for specific solutions, K s (L T−1) is the field saturated hydraulic conductivity, C is a dimensionless shape factor and A and B are the coefficients.

The “Achilles heel” in the above approach is the choice of α*. Elrick et al. (1989) noted that the α* = 12 m−1 is the first choice for most soils. Actually, according to the results of laboratory tests on soil samples (stony calcareous soil with a clay loam matrix) value α* = 12 m−1 was considered in our calculations of K s by the Guelph permeameter.

Installation of hydrodynamic detecting devices in the field site

According to the methods proposed by Weihermuller et al. (2007) for interstitial water sampling, a series of porous suction plate was selected: 10 suction plates collected soil water at 120 cm depth and 15 plates at 160 cm. Finally, they were all covered with the excavated soil. Water was collected separately from each set of plates by two vacuum pumps, via small Teflon tubes. With a suction of 500 hPa, 100 ml of infiltrated water per hour can be collected. A rough calculation of the recoverable amount of water leads to a conservative value of 1.2 l/day/resident. This value is for low matrix potential of soil between 0 and 100 mbar. This installation is an essential and operational part in the conception of the pilot site. For the second objective of this paper, however, the water samples analysis is not used and it has been analysed in another paper which is in preparation.

In order to characterize the hydrodynamic changes imposed by infiltrated wastewater and rainfall in the soil under the UOSTS, the spatial distribution of the water content and the matrix potential of the soil were monitored under the bottom of the excavation at two depths (120 and 160 cm). The system was composed of 12 electronic tensiometers (5 at 120 cm and 7 at 160 cm) (SDEC-France company; model: STCP 850) and 5 water content profiling probes (SoilMoisture Ltd.) which transmit an electromagnetic field extending about 100 mm into the soil as a ring at 6 given depths (Delta-T Devices Co; model PR2/6-FDR). Twelve electronic tensiometers provided longitudinal and transversal matrix potential profiles across the soil. The water content probes measure the temporal and spatial distribution of volumetric water content of soil at 70, 80, 90, 100, 120 and 160 cm of depth from the soil surface. A pressure sensor of free water table (STS, DL/N series 70) was installed in a well downstream of the plot. This device was completed by a meteorological station (Watchdog 2900ET) near the plot which measures the rainfall and four other parameters. The data were continuously recorded by data loggers (time step of 30 min for rain, 10 min for soil tension and water content and 1 h for the water table) (Figs. 2, 3).

Among the different techniques of describing and inferring the PF in this site, three techniques were used in this study: (1) observation of the excavation measuring; (2) field saturated hydraulic conductivity in multiple points; and (3) water content and matrix potential distribution.

Observing the soil structure may range from a very expensive method (e.g. scanning) to an inexpensive one (e.g. photo of soil surface). We selected the direct observation of the excavation at a rainy period to search the water trickles between stone fragments. The field saturated hydraulic conductivity measurements in 15 points were done by a Guelph permeameter as explained above. The water content and tension distribution technique is a simple technique, easy to measure but difficult to interpret and install, which was done by the FDR probes and the tensiometers. By a graphical interpretation of processed data, we estimated the spatial heterogeneity and the PF interpreted from this heterogeneous distribution.

Textural characterisation and pedotransfer functions

In the geotechnique laboratory, the 15 soil samples have been oven dried 105 °C for 24 h. The fine earth fraction (soil matrix) was separated from the stone fragments by softly brushing and grinding. The organic matter (OM) content was determined by combustion. The average of OM for the soil samples is 4.28 %. According to the results of specific surface (Ss) determination, the average of Ss for the soil matrix of pilot site is 88.7 m2/g and so the cation exchange capacity can be estimated to be 14 meq/100 g averagely. The soil matrix was put through on the 0.08 mm sieve. For each of the samples, according to the standards, sedimentometry tests were done for the particles lower than 0.08 mm. Following the particle size distribution curve which was derived for each soil sample, soil texture of the samples was determined by using the USDA soil texture triangle (Fig. 5). The average of the stone content of the soil samples is 52 % and the variation coefficient of stone fragment content is 13 % for the soil samples. The values of measured K s are presented in Fig. 4.

Fig. 4
figure 4

Variation of K s values measured by Guelph permeameter at 120 cm depth

Fig. 5
figure 5

Variation in clay (0–2 μm), silt (2–50 μm), and sand (>50 μm) contents at the 15 measurement points

In addition, hydraulic conductivity K s was also estimated for each soil sample by using these textural data and applying pedotransfer functions (PTFs). In the field of soil science, a pedotransfer function (PTF) is a tool based on statistical relationship, used to estimate and predict the properties and behaviour of soil which are difficult to measure directly, from other soil characteristics which are observable in the field or determined by routine tests on soil samples in laboratory. Hydraulic conductivity of the soil was estimated by three PTFs developed by Cosby et al. (1984), Ferrer-Julià et al. (2004) and Adhikary et al. (2008):

$$ K_{\text{s}} = 7.05556 \times 10^{ - 6} \times 10^{( - 0.6 + 0.0126 \times S - 0.0064 \times C)} $$
(2)
$$ K_{\text{s}} = 4.82 \times 10^{ - 6} \times (L + C)^{ - 1.48} $$
(3)
$$ \begin{gathered} K_{\text{s}} = 2.556 \times 10^{ - 7} \exp (0.0491 \times S) \hfill \\ \end{gathered} $$
(4)

where K s (m/s) is the saturated hydraulic conductivity, S, L and C are, respectively, the percentages of sand, silt and clay in the soil. These PTFs have been established just by the soil mineral fractions and they do not consider the OM of soil as predictor. In the case of the soil of this study, they are the much realistic estimators because of the low OM content of soil samples and the depth of the measurement horizon which is below 120 cm of the soil surface.

Results and discussion

Measured and estimated hydraulic conductivity

The three PTFs predict K s from the texture of the soil. So this permeability is directly related to the fine soil matrix. In addition, these PTFs were developed for homogeneous soils. On the other hand, hydraulic conductivity which was measured by the Guelph is overall permeability of the soil that includes the effect of the coarse and fine fractions of the soil (Lee et al. 1985).

Table 1 shows the texture of the samples, the K s measured in situ by Guelph and K s predicted by PTFs of Cosby, Ferrer-Julià and Adhikary. According to the results, the majority of the samples had remarkable clay and silt fractions (on average 37 and 38 %, respectively) and had a clayey loam texture. The 15 K s predicted by 3 PTFs varied less than measured ones because the texture was more or less homogeneous. Spatial variability (two orders of magnitude) of the 15 K s measured by Guelph was considerable and this variability followed no pattern. The average of 15 measured K s by Guelph was, respectively, 51, 123 and 134 times larger than those predicted by the PTFs of Cosby, Ferrer-Julià and Adhikary.

Table 1 The measured (Guelph) and predicted (K s-PTFs) K s of the soil samples

Monitoring the hydrodynamic parameters

Figures 6 (left, right), 7 (left, right), are a graphical presentation of variations of the volumetric water content (%), soil tension (negative m_water) or pressure (positive m_water) for a very short dry period at 2 depths, and water table (m) and rainfall (mm) for a 1 month wet period.

Fig. 6
figure 6

Pressure potential variation of tensiometers at 120 cm depth (left). Pressure potential variation of tensiometers at 160 cm depth (right)

Fig. 7
figure 7

Temporal changes in soil tension (T3) and water content (PR2) at mesh number 2 (left). Variation of the water table and rainfall for a period of 1 month (right)

Figure 6 (left) is an illustration of the soil water tension for the 5 tensiometers installed at 120 cm from July 29th to August 2nd. They were located at the interface of sand and soil. The pressure values of T8, T9 and T11 were very positive and T10 and T12 were almost near-zero tensions. This means that the porous media at the interface is relatively saturated. For all the tensiometers there is daily cycle with two main peaks at 13:00 and 23:00 which are compatible with the peak time of consumption of water by the inhabitants at home. The identical temporal behaviour of T10 and T12 together and T8, T9 and T12 indicated that they received the same sequences with varying amounts of water. The spatial variation of the pressure in this part is due to the non-homogeneous distribution of treated wastewater in the drains, which are implanted parallel with a distance of 1 m one to another, but the spatial distribution was complicated and this could also be explained by the heterogeneous vegetated soil above the drains which could cause heterogeneous evaporation from the soil. The range of variation of pressure, in the tensiometers, was between 0 and 1 m-water on average.

Figure 6 (right) is the same dry period as (Fig. 6, left) but shows the variation of four tensiometers (T2, T3, T5 and T6) at 160 cm in the soil. The pressure values of T2, T3 and T4 are positives or near to zero (T6). The daily cycles can be seen in this part too. But the range of the variation of the pressure is between −0.25 and 0.5 m-water which is less than values in 120 cm. This phenomenon can have several reasons. The drains above the 160 cm depth (right side of the UOSTS) may contain more treated wastewater than the drains above 120 cm depth (left right of the UOSTS) and this is because of the installation of the drains (right and left is in the absolute direction of the installation of the system, which means a view form upstream to downstream. On the other hand, the results of the soil hydraulic conductivity measurements show that the permeability of the soil was at the same order of magnitude as that for sand in 10−4 m/s and while the soil has a clay loam texture. This surprising high value of measured K s demonstrates the preferential flow due to the soil heterogeneity. In addition to the non-uniform distribution of infiltrated water, the general difference among the pressure of the tensiometers is due to the heterogeneity of soil.

The non-uniform spatial distribution of pressure potential for all tensiometers and their daily cycle oscillation, which were almost all positive for all of them, shows that the saturation was controlled by infiltration from the upper layer infiltration-controlled saturation and this is not due to the rise of water table which would creates a flat free surface with a homogenous water head in different depths.

The development of soil water content (PR2) at three depths (90 and 100 cm in the sand pack and 120 cm at the sand–soil interface) and soil water tension (the nearby implanted tensiometer, T3) are illustrated in (Fig. 7, left). The two devices were placed side by side (20 cm of distance at mesh n°2). The two daily peaks of water content due to infiltration of treated wastewater are observable on the PR2 curve which corresponds to the variation of water tension of the soil recorded by T3 over the same time period. According to the three curves of water content variation, the vertical gradient in three depths shows that the water content varied between 4 and 7.5 % every day and the water content increased in depth, with approaching the water table.

By using water table variation data and rainfall data for a pluvial period which is illustrated in (Fig. 7, right), we can observe a clear reaction of the water table to the rain with a progressive rise of the water table as it took some time due to the time that the water needs to flux downward through the soil and arrive at the water table. This means that there is a rapid hydraulic relationship between the infiltrated surface water and the water table.

Conclusion

A real undrained on-site treatment system (UOSTS) was successfully instrumented for evaluation of the role of the soil under the treatment system, for the first time at the authors knowledge. The suction plates collect the soil water regularly and the probes highlight the hydraulic functioning of the UOSTS and also the hydrological and meteorological phenomena. Comparison of chronics of water content and the matrix potential and the analysis of their spatial variation were made. Once the probes are successfully installed, the chronics are easy to get. The spatial variation of the water content of a probe to the others, and the matrix potential of tensiometers to the other, shows the existence of heterogeneity preferential paths under the UOSTS.

The variation of 15 measured K s by Guelph permeameter demonstrates the heterogeneity in the soil which causes the non-uniform infiltration of water on 15 m2 area which leads to the concept of meshes with preferred permeability. At the same time, the texture of the soil shows that the fine soil matrix of the 15 samples does not vary significantly and the soil has a clay loam texture on average. Following the results of the three pedotransfer functions (PTFs), the K s associated to the soil texture is on average two orders of magnitude lower than the K s measured in situ by Guelph which could turn to be a general result for stony soils. Otherwise, the PTFs with OM as predictor have not been examined in this type of soil. In addition, the existence of high clay and silt fractions result in 2 C + L > 60, where the effect of drying and humidification could lead to the construction of aggregates with pore spaces (fissures) that constitute another level of macropores of structural porosity. At the depth of 120 cm, no roots or animal holes were observed. This leads to the overall conclusion that the stone fragment content is the most important factor which results in a remarkable variation of the infiltration rates in the soils in our experimental plot. It is in the case that the soil matrix exhibits only small textural differences. As a conclusion, the macropores created by presence of the stones and high content of clay and silt are responsible for the high average saturated hydraulic conductivity of the soil. The K s with two orders of magnitude higher than the homogeneous soil matrix indicate a type of PF and in addition, the spatial distribution of K s indicates a non-uniform distribution of macropores. In spite of our assumption at the beginning, the other PTFs with OM as predictor are to be tested in order to verify if this parameter has an impact on hydraulic conductivity in this type of soil. The effect of karst in the substratum was not taken into account in this study, but it could be another source of PF in this type of soil.

The pilot site highlights the existence of preferential pathway fluxes due to the heterogeneity of both the hydraulic solicitation and the stony soil texture. This methodology, here applied in complex soil conditions, will be reproducible within other soils, especially in more homogeneous soils, and for greater scale UOSTS.

This stony soil is representative of a large part of the soils in this area. This conclusion can probably be extended to stony soils of other calcareous regions and beyond, to heterogeneous urban soils that are more or less anthropogenic. This implies that stone fragment content should be taken into account when hydrologic processes are evaluated and when developing PTFs to predict hydraulic properties.

As a perspective, the results of the permeability tests can be coupled with the chemical analysis results of soil water samples which were collected in two levels (120 and 160 cm) by porous plates that had been installed on the underlying soil at the bottom of the on-site treatment excavation, to evaluate the impact of soil on the quality of percolated water toward the water table.

The existing hydraulic relationship between the water table and rainfall is very important in terms of the environment. The contaminant retained in the sand pack or in the soil below the sand pack can be transported from the unsaturated area below the UOSTS to the water table by the flash and continuous short rainfall through preferential pathways.