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(American Journal of Botany. 2004;91:1326-1332.)
© 2004 Botanical Society of America, Inc.


Reproductive Biology

The consequences of clone size for paternal and maternal success in domestic apple (Malus x domestica)1

Matthew B. Routley2, Paul Kron and Brian C. Husband

Department of Botany, University of Guelph, Guelph, Ontario, Canada N1G 2W1

Received for publication November 24, 2003. Accepted for publication April 29, 2004.


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
Clonal growth in plants can increase pollen and ovule production per genet. However, paternal and maternal reproductive success may not increase because within-clone pollination (geitonogamy) can reduce pollen export to adjacent clones (pollen discounting) and pollen import to the central ramets (pollen limitation). The relationship between clone size and mating success was investigated using clones of Malus x domestica at four orchards (blocks of 1–5 rows of trees). For each block, maternal function was measured as fruit and seed set in all rows and paternal function as siring rate estimated from isozyme profiles in the first row of the adjacent block. Expected relations between reproductive success and clone size were generated from simulations and data on pollen dispersal in this species. Siring rate per clone averaged 70% and did not increase significantly with block size, consistent with simulations of pollen dispersal under pollen discounting. Simulations also indicated that the ratio of compatible to incompatible pollen received by a tree should decline with increased block size and from the periphery to the center of blocks. However, female function was not significantly reduced among block sizes or within blocks. The results suggest that paternal function may be more sensitive to the effects of clonality than female function.

Key Words: female function • geitonogamy • male function • pollen discounting • pollen limitation


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
Clonality is a common mode of reproduction in flowering plants (Jackson et al., 1985 ; van Groenendael and de Kroon, 1990 ). One consequence of clonal reproduction is that genetically identical individuals (ramets, Harper, 1977 ; see Watson and Casper, 1984 ; Callaghan et al., 1992 , for different definitions) become spatially clustered as the clone (genet) grows (Hutchings and Mogie, 1990 ; Chung and Epperson, 1999 ). Although such spatial structuring can increase both pollen and ovule production per genet, it can also have negative implications for both female and male function (Darwin, 1876 ; Handel, 1985 ; Charpentier, 2001 ), due to the transfer of pollen between ramets within the same clone (e.g., geitonogamy and pollen discounting; Lloyd and Schoen, 1992 ; de Jong et al., 1993 ; Harder and Barrett, 1995 ).

In self-compatible species, geitonogamous pollination in clones will cause a high rate of self-fertilization. As a result, seed and fruit production (female function) may be reduced through the effects of inbreeding depression (Charlesworth and Charlesworth, 1987 ; Husband and Schemske, 1996 ). Within-clone pollination may also affect paternal success by removing, from pollinators, pollen that would otherwise have been exported to stigmas of a different genet (= pollen discounting; Harder and Thomson, 1989 ; Lloyd and Schoen, 1992 ; Holsinger and Thomson, 1994 ). As a result, reproductive success may not increase in proportion to clone size because paternal and maternal fitness per ramet is reduced.

Although self-incompatible (SI) species avoid selfing and thus the consequences of inbreeding depression, the effects of clonality and geitonogamy may still be significant in such species. Visits to peripheral ramets in a clone may remove pollen from incoming pollinators, creating pollen limitation for central ramets. Furthermore, peripheral ramets may also remove pollen from outgoing pollinators, causing pollen discounting and reduced paternal success of central ramets. Geitonogamy can be substantial in clonal species (e.g., Barrett et al., 1994 ; LeClerc-Potvin and Ritland, 1994 ; Back et al., 1996 ; Eckert et al., 2000 ; Reusch, 2001 ). However, the relationship between clone size and geitonogamy is poorly understood. Furthermore, the influence of clone size on paternal function and pollen discounting has rarely been considered.

In this study, we investigated the effect of clone size on reproductive success in apples (Malus x domestica). Although it is a cultivated plant and clonal only in a horticultural setting, data from crops and orchards have been useful in the past for testing hypotheses applicable to natural populations (e.g., Handel, 1985 ; Schoen and Stewart, 1986 ). The domestic apple, in particular, provides several advantages germane to this study: (1) Varieties are SI, so that fruit is only produced from pollen transfer between varieties (Waite, 1899 ; Free, 1993 ). (2) Each tree of a variety is a ramet of the same genet and therefore genetically identical (genet level analysis; Eriksson, 1993 ). (3) Varieties are often structured into single-variety clones, or blocks, of different sizes. (4) Previous work has developed diagnostic, genetic markers for many apple varieties for use in paternity estimation (Kron et al., 2001a , b ).

Our research had three main objectives. (1) In simulations, estimate the theoretical effects of clone size on paternal siring success in neighboring clones and the potential for pollen limitation within clones. (2) Empirically determine the effect of clone size on outcross siring success in seeds of neighboring varieties (paternal reproductive success). (3) Empirically determine the effect of clone size on fruit and seed production (maternal reproductive success).


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
Simulations
To determine the expected effects of clone size on pollination in apples, we simulated pollen export from and import to different sized blocks based on a pollen-dispersal curve (fig. 4 in Kron et al., 2001a ) generated from the average of four separate dispersal curves, two of which were based on the "Idared" variety. This curve shows that a given pollen donor row sires 56% (SE ± 8) of seeds in the first adjacent row and declines to 8% (±2) by the seventh adjacent row. Because this curve was constructed for distances from one to seven rows within an orchard, all of our simulations are within this range. From this curve, we used two pieces of information: the proportion of ovules sired by a target row in a recipient row i rows away ({gamma}i) and its associated standard deviation ({sigma}i). We treated each siring-success estimate as a proxy for the amount of pollen exported. Consequently the proportion of a row's exported pollen ({phi}i) that reached the ith recipient row was calculated as:

{abot-91-09-01-e1}

The pollen export from a block into the adjacent recipient row was then simulated with an iterative process in which the siring success of a block is a composite of the pollen-dispersal curves for each of its rows. First, the proportion of pollen imported from a row i rows away from the recipient row (i) was estimated as {phi}i plus a normally distributed, random error term with a mean of zero and standard deviation of {sigma}i. Then the percentage of pollen contributed from a clone of block size n was calculated as:

{abot-91-09-01-e2}

where the denominator includes nonclonal pollen exported from either side of the recipient row. This calculation was repeated 10 000 times each for blocks of one row through to five (n = 1–5) to generate a distribution of values for each block size and construct a 95% confidence interval around the mean value.

The expected impact of clone size on pollen receipt was simulated in a manner analogous to the paternity simulations. Each recipient row in a given block was partitioned in half and pollen was imported from trees in the nearest seven rows (x = 1–7) on either side of the recipient row. For each row of a block, the ratio of compatible to incompatible pollen was calculated as:

{abot-91-09-01-e3}

where l is the number of clonal rows to the left of the recipient row and r the number to the right. For example, the leftmost peripheral row of a three row block has l = 0 and r = 2. This calculation was also repeated 10 000 times for each row of a block at each block size. As with the paternal-success simulation, 95% confidence intervals of the estimates were taken from the distribution of values obtained. In this context, we refer to pollen transfer between varieties as compatible pollen because it can result in fruit production. Pollen transfer within a variety does not produce any fruit and, consequently, we refer to it as incompatible pollen.

Field sites
The qualitative predictions of the simulations were tested quantitatively at four commercial apple orchards in southern Ontario, Canada: Dwarf Tree; Eramosa; Farmer Jack's; and Versteigh (Table 1). At 900 trees/ ha, these orchards are classified as medium to high density (Wilson, 1990 ). Trees are grafted to dwarf rootstock and arranged in rows (4.8–4.9 m between rows, 1.8–2.3 m between trees within rows), which are oriented north/south in all orchards. Each row in the study area comprises a single apple variety (genotype). While orchards contain from 11 to 17 different varieties, a given variety is often grown in adjacent rows, producing blocks of genetically identical trees.


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Table 1. The commercial apple orchards in southern Ontario, Canada, sampled for "Idared" paternity analysis with the number of blocks sampled at each block size (number of rows). For siring success estimates, two trees from the row adjacent to each block were sam pled. Maternal success (fruit and seed set) was estimated from five trees of each row within a block. Separate analyses were also con ducted with Farmer Jack's orchard only

 
To control for differences among genotypes, we used blocks of the Idared variety for this study. Previous studies (Kron et al., 2001a , b ) have provided genetic profiles of many different varieties of apple and have shown that the paternity of the Idared variety can be determined unambiguously. To measure reproductive success, 17 blocks of Idared trees were chosen from the four orchards with sizes ranging from one to five rows. Each row consisted of a minimum of 50 trees. Adjacent to each of these blocks was a row of trees of a variety other than Idared from which the paternal success of the blocks was estimated. Based on the availability of orchards, complete replication of all block sizes at each orchard was not possible (Table 1). Nevertheless, three different block sizes were replicated three times in the Farmer Jack's orchard. Consequently, in our statistical analyses, we analyzed all orchards combined and Farmer Jack's orchard alone to account for any confounding effects between block size and orchard. Maternal reproductive success was estimated for trees sampled within each block. The criteria for selecting a block were (1) it contained only Idared trees; (2) it was isolated from other Idared blocks by at least 15 rows; and (3) the adjacent row was a variety compatible with Idared with overlapping flowering time.

Sampling of fruit for paternal success
For each Idared block, two trees, one-third and two-thirds down the row immediately adjacent to the block, were chosen for sampling. A previous study (Kron et al., 2001b ) suggested that the variance in paternal contributions to trees in a row is low; thus, two recipient trees are sufficient to estimate the mean paternal siring success of a block. Paternal success was evaluated in a single row adjacent to the Idared block, rather than multiple rows. We chose this sampling strategy because we wished to test for an effect of clone size on mean siring success and had no a priori reason to expect the distribution of siring success among adjacent rows to change. Whenever possible, the row selected was on the east side of the block. For five blocks (two at Versteigh and three at Farmer Jack's), the selected row was on the west side. Eight apples were randomly chosen from each side of the trees (for a total of 16 per tree, 32 per row). Apples were selected by dividing the tree visually into quarters, selecting four evenly distributed branches in each quarter, and selecting one apple from each branch by counting in from the tip a random number of apples.

Sampling of fruit for maternal success
To estimate maternal success, we selected five trees evenly spaced along each row in each block. One branch was selected from each side of each tree and a segment containing approximately four trusses (cluster of 5–6 flowers) was marked. Between 14 and 18 May 2002, the number of trusses and flowers in the marked segments of each branch were counted. The number of developing fruit was counted in these segments at two intervals during the season. The first census, 24 and 30 May, was before natural and chemical thinning could affect fruit set. The second was at harvest, 14 and 15 August. Maternal success was then estimated by fruit set, calculated as the number of fruit produced divided by the number of flowers originally present on a branch, and seed set, calculated as the number of seeds harvested per apple averaged across apples within a branch. When no apples were produced on the marked branch, the nearest fruit to the marked area was collected and the seeds counted to provide a seed number measure for that branch. Each of these branch values was then averaged across all branches within a row for use in the statistical analyses.

Analysis of paternal success
Thirty seeds were randomly sampled from the 16 apples per tree (two seeds per fruit) in the rows adjacent to blocks, and these seeds were screened for Idared paternity. Paternity was estimated from isozyme profiles using cellulose-acetate-gel electrophoresis (Hebert and Beaton, 1989 ). The seed coat was removed and the embryo and cotyledons were ground in 50 µL of "Decodon" extraction buffer (Eckert and Barrett, 1994 ) after freezing in liquid nitrogen. The resulting homogenate was centrifuged for 10 min at 14 820 x g and the supernatant applied to the gel.

Gels were run for 45–60 min at 250 V and stained for acid phosphatase ({alpha}-ACP, EC 3.1.3.2.) and glutamic-oxaloacetic transaminase (GOT, EC 2.6.1.1.). Idared paternity was assigned to a seed if it possessed the "slow" GOT and "fast" {alpha}-ACP alleles. Idared is homozygous for both of these alleles, while most other varieties do not have both alleles (Kron et al., 2001a ). The exception to this pattern is "Mutsu," which bears the "slow" GOT allele. Consequently, paternity of Mutsu fruit was assigned on the basis of {alpha}-ACP alone. In these cases, none of the varieties, other than Idared, carried the "fast" {alpha}-ACP allele within 23 rows of the target row. The percentage Idared paternity was then calculated for each tree as the number of Idared-sired seeds per 30 seeds per tree and then averaged across the two trees in a row to give a paternal-success estimate for each block.

We tested the effect of clone size on paternal success with an ANOVA of block size on percentage Idared paternity (all statistical analyses were performed using R software, R Development Core Team, 2003 ). Orchard was included as a random effect and block size, nested within orchard, was a fixed effect. Under the hypothesis of no pollen discounting, each additional row in a block should contribute a proportional increase in siring success (i.e., a constant marginal gain; squares in Fig. 1). Conversely, as derived from the Monte-Carlo simulations described earlier, a decreasing marginal gain, and thus the absence of a monotonic increase, in siring success with block size is consistent with the effects of pollen discounting. Because the theoretical expectations are based on pollen dispersal across a random assortment of compatible varieties, any deviations from the shape of this null model represents an effect of the spatial structuring of varieties into blocks. If a clone has significantly higher siring success than expected at certain block sizes, it may be due to a tendency for pollen to exit a block more frequently than an equally sized set of multi-variety rows. Conversely, reduced siring success may be the result of a tendency for pollen to remain within a block. As described earlier, to eliminate any possibility of confounding effects of orchard, we also examined paternal success in Farmer Jack's orchard alone.



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Fig. 1. The simulated siring success (proportion of seeds sired) of different sized blocks of apple trees in commercial orchards in southern Ontario, Canada. Squares represent the expected relationship between block size and siring success with no pollen discounting. Circles are the expectations (±95% confidence interval) with pollen discounting based on 10 000 simulation runs. For the pollen-discounting model, the marginal gain in the proportion of seeds sired declines with increasing block size, suggesting that geitonogamy and pollen discounting may limit the siring success of large blocks

 
Analysis of maternal success
The effect of block size on maternal success was tested with ANOVAs of fruit and seed set. To examine variation in fruit and seed set within a block, we analyzed the effect of row position in five-row blocks as a fixed effect. Position was nested within block size (fixed effect) and orchard (random effect) in the ANOVA. Fruit-set values were log-transformed to meet the assumption of normality for the ANOVA. Additionally, as with paternal success, we compared the shapes of the fruit and seed set curves to the predicted relationship from the simulations. We also conducted an analysis of maternal success based on Farmer Jack's orchard alone.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
Simulated paternal and maternal success
Our simulations showed a diminishing marginal gain in siring success with increasing block size (Fig. 1; circles). The proportion of pollen from the block exported to the first adjacent row increased from 0.16 (95% confidence limit: 0.08) with a block size of one row to 0.53 (0.07) when the block comprised seven rows. However, the marginal gain in siring success declined as block size increased beyond three rows. This contrasts with the no-discounting model, which produces a continuously increasing curve.

In the simulations of pollen import, the mean compatible/ incompatible pollen ratio declined as block size increased (Fig. 2). In addition to this effect of whole block size, within five row blocks the proportion of compatible pollen declined from peripheral to central rows (Fig. 3).



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Fig. 2. The simulated ratio of compatible (between variety) to incompatible (within variety) pollen received, on average (±95% confidence interval), across all rows of different sized blocks of apple trees, based on 10 000 simulation runs. See Fig. 3 for the ratio of compatible : incompatible pollen received by each row within a five row block. Larger blocks receive an increasing proportion of incompatible pollen, which may limit fruit or seed set

 


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Fig. 3. The simulated ratio of compatible : incompatible (between variety : within variety) pollen received by each row within five-row blocks of apple. Circles are the average (±95% confidence interval) ratio based on 10 000 simulation runs. The amount of compatible pollen received declines slightly from peripheral to central rows within the block. Consequently, central rows of large blocks may have reduced fruit or seed set

 
Empirical paternal success
In total, 1020 seeds from 34 trees were assayed electrophoretically to estimate paternal success in the 17 blocks. On average, Idared blocks sired 70% (SE = 17) of the ovules in the adjacent row (Fig. 4 shows the mean residuals of paternal success with the effect of orchard removed) and ranged from 42 to 74%. Mean siring success increased modestly with increasing block size (Fig. 4), a result consistent with pollen discounting. Based on the ANOVA, siring success did not differ significantly among orchards or among blocks of different sizes (Table 2). A retrospective power analysis and the confidence intervals of Fig. 4 suggest that we can detect siring-success differences of ~10%. An ANOVA based on Farmer Jack's alone also found no significant effect of block size (F2,6 = 0.295, P > 0.75).



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Fig. 4. The empirical siring success (proportion of seeds sired) of different sized blocks of Idared apple trees as estimated from gel electrophoresis. The values presented are estimates with the effect of orchards removed. The solid line represents the estimate of the linear effect of block size on siring success and the dashed lines are the 95% confidence intervals of this estimate. Statistical details are presented in Table 2 . No significant effect of block size was detected for siring success, which is consistent with the pollen-discounting model and the simulation results (Fig. 1 )

 

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Table 2. Analysis of variation in Idared siring success among blocks of different size for the no-discounting model. The block size effect is nested within the orchard effect. Treatment means are presented in Fig. 4

 
Empirical maternal success
Maternal success of Idared blocks was measured in terms of fruit set and seed production. Based on 956 fruits from 590 branches, fruit set averaged 0.05 (SE = 0.003) and seed production per apple was 5.1 (SE = 0.09). Orchards differed significantly in fruit set (Table 3a); however, no differences were observed among blocks of different size. Similarly, seed number per fruit differed among orchards, but block size had no significant effect (Table 3b; Fig. 5). A retrospective power analysis indicated that we can detect seed set differences of ~1 seed. The separate analysis of Farmer Jack's also showed no significant effect of block size on either fruit or seed set (F2,31 = 1.79, P > 0.15 and F2,33 = 0.27, P > 0.75). Mean seed set, as depicted in Fig. 5, appears to decline in a step fashion with clone size; however, most of this variation was attributable to orchard effects.


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Table 3. Analysis of variation in Idared (a) fruit (log transformed) and (b) seed set among blocks of different sizes. The block size effect is nested within the orchard effect. Treatment means for seed set are presented in Fig. 5

 


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Fig. 5. The empirical (mean ±SE) seed set of different sized blocks of Idared apple trees. The values presented are estimates with the effect of orchards removed. Statistical details are presented in Table 3 . In contrast to the expectations of the simulated results (Fig. 2 ), seed set does not decline with block size

 
Position within five row blocks had no significant effect on either fruit set (Table 4a) or seed number per fruit (Table 4b, Fig. 6). A separate analysis of Farmer Jack's also showed no significant effect of position in five row blocks on either fruit or seed set (F2,12 = 0.30, P > 0.70 and F2,12 = 0.39, P > 0.65).


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Table 4. Analysis of variation in Idared (a) fruit (log transformed) and (b) seed set among rows of five-row blocks. The row effect is nested within the orchard effect. Treatment means for seed set are presented in Fig. 6

 


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Fig. 6. Mean (±SE) seed set of rows within five-row blocks of Idared apple trees. The values presented are estimates with the effect of orchards removed. Statistical details are presented in Table 4 . In contrast to the expectations of the simulated results Fig. 3 , seed set did not decline from the periphery to center of the block

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
Our study on Malus x domestica is among the first to examine the effects of clone size on both paternal and maternal success in plants. Theoretical expectations of the consequences of clonality for pollen import and export were generated using computer simulations that incorporated previous data on pollen dispersal for this species. In general, the simulations showed that pollen export from a block (clone) of apples should increase with block size, as the number of pollen-producing ramets increases. However, the paternal fitness benefits will rise with decreasing marginal gains (Fig. 1) because increasing proportions of the total exportable pollen are wasted on ramets within the block. Pollen export in apples was qualitatively consistent with this prediction in that we detected no significant effect of block size on the siring success of the Idared variety (Fig. 4). The simulations also showed that for maternal fitness the proportions of compatible pollen received by ramets in a block should decrease slightly with block size (Fig. 2 and Fig. 3), particularly in the central ramets. However, we found no significant effect of block size on fruit set or seed production (Fig. 5 and Fig. 6) per apple.

Paternal success
If an increase in clone size (i.e., flower number) increases total pollen export, then we would expect to see a significant increase in male reproductive success in apples with increasing clone size. However, we detected no significant effect of block size on siring success. We consider three potential explanations for this lack of effect. First, if pollen discounting counteracts the increase in pollen production of large blocks, siring success would not increase with clone size (Fig. 1). This within-block pollen movement may be due to the tendency for pollinators to remain within single-variety blocks. The primary pollinators of apples, honeybees, and bumble bees often exhibit floral constancy (reviewed in Chittka et al., 1999 ; Gegear and Laverty, 2001 ) in which they sequentially visit one floral type while ignoring nearby alternatives. Second, we may simply have not had sufficient statistical power to detect changes in siring success. However, based on the observed within- and between-block variances, we should be able to detect siring success changes of ~10%. The no-discounting model presented in Fig. 1 suggests that much larger increases in siring success should occur over our range of block sizes. Third, the range of block sizes used may have been insufficient to cause an increase in siring success. We cannot rule out this possibility entirely. However, our simulations suggest that this is not likely. Furthermore, from the biological perspective, if a greater than five-fold increase in flower production is required to accrue male fitness benefits such an effect would be relatively unimportant in the field.

To our knowledge, only one other study has investigated the influence of clonal growth on pollen export (Handel, 1985 ). In this study, a cotyledon trait was used to track the siring success of a central genet of cultivated cucumber (Cucumis sativus) into surrounding genets. As the growing season progressed, the number of flowers per plant, area occupied per plant, and pollinator density increased. Handel (1985) found that the average distance pollen traveled from the central genet decreased from 4.12 to 3.37 m between early- and late-season fruits. This reduction was attributed to increased within-genet pollen movement associated with the increase in clone size. In contrast, our study used replicate clone sizes and much larger variation in clone size to test for an effect of pollen dispersal. Moreover, the power of our experimental design was sufficient to detect a smaller magnitude of effect than the 18% reported by Handel (1985) . In another study, Schoen and Stewart (1986) estimated the influence of cone production on paternal success in the clonal, wind-pollinated white spruce. Although they found significant linear and quadratic increases in paternal success with increasing cone number, the ramets of genets were randomly arranged within seed orchards. The lack of evidence for pollen discounting in this study is not surprising because spatial structure of ramets contributes to within-clone pollinations.

Maternal success
Our simulations indicated that the proportions of incompatible pollen received by ramets in a block should increase, while compatible pollen will decrease with block size. If pollinator activity is limited, ramets within large blocks may experience reduced fruit and seed set due to pollen limitation. Further, the prevalence of incompatible pollen could trigger an SI reaction that disrupts the growth of compatible pollen tubes or ovule and fruit development. In fact, several studies have shown that SI species experience a substantial reduction in seed set when cross-pollination is preceded or accompanied by self-pollination (e.g., Ockendon and Currah, 1977 ; Waser and Price, 1991 ; Kellerhals and Wirther-Christinet, 1996 , but see Visser, 1984 ).

In apple orchards, blocks of just two rows may receive up to 20% incompatible pollen. This value is likely to be an underestimate as it does not include contributions from ramets within the same row nor from geitonogamous pollinations among flowers within ramets. Unfortunately, we do not have sufficient information to quantitatively infer the impact of changes in the ratio of compatible to incompatible pollen on fruit set and maternal fitness. However, we detected no significant effect of block size or position within a block on fruit or seed set. These findings at least suggest that the amount of incompatible pollen present in large blocks was not sufficient to impair maternal success and pollinator activity was sufficiently high to prevent pollen limitation. Alternatively, our blocks may have been too small to detect an effect on maternal success. In our largest blocks (five rows), all trees are at most three rows from a compatible donor. The lack of a block effect on fruit set may reflect in part the effects of domestication on maternal function. If maternal traits such as large fruit size have been selectively favored, fruit set may be resource limited under a wide range of pollination conditions. As a result, the effects of block size, which should alter the quantity of compatible pollen, may be reduced in this species compared to non-domesticated species. Indeed, several studies of wild species have reported a negative relationship between genet size and seed set in self-incompatible species (e.g., Silander, 1985 ; Eriksson and Bremer, 1993 ; Free, 1993 ). For example, seed set was reduced in the largest genet in a population of Linnaea borealis (Wilcock and Jennings, 1999 ), and rare ramets of Calystegia collina were more likely to set seed than common genets (Wolf et al., 2000 ). However, without information on male function, it is not clear what the relative sensitivities of male and female function are in these species.

Implications for the evolution of clonality
Variation in clonal growth form, exemplified by phalanx (dense clustering of ramets) and guerrilla (low density, wide ranging) types, are often interpreted as alternate foraging behaviors to maximize occupancy or discovery of resources (Sutherland and Stillmann, 1988 ; Schmid, 1990 ). Because of the differences in spatial clustering of ramets, these variants may also differ in the likelihood of geitonogamy and pollen discounting. Clonal organisms with a phalanx growth form are likely to experience frequent pollen flow among ramets within a genet, thus enhancing opportunities for pollen discounting. On the other hand, the guerrilla growth form has less spatial structure and therefore may experience less geitonogamy and smaller impacts of clone size on paternal function (Handel, 1985 ). In ecological conditions that favor sexual reproduction (Bierzychudek, 1987 ), selection may favor the guerrilla form over phalanx or the evolution of secondary modifications to floral display that can minimize the rates of geitonogamy, particularly in phalanx species. Ultimately, however, the growth form favored by selection will depend on the trade-off between the resource benefits of clonal growth and the costs to sexual reproduction (Reusch, 2001 ).

Although domestic apples are not actually clonal, they are cultivated in orchards in a way that resembles a phalanx growth form. The effects of clone size on paternal function in this study are consistent with strong pollen discounting, which is expected with this growth form. What is less clear is the extent to which these data may also apply to other phalanx species. Because apples are not naturally clonal, they may lack some of the secondary modifications in allocation of resources and floral form that most phalanx species have. On the other hand, this may highlight an important advantage to using such a species, because we can separate the effects of discounting from other allocation adjustments that occur with increasing clone size in clonal organisms.

Implications for orchard design
Apple growers usually arrange their orchards in blocks of varieties to improve the efficiency of harvesting and variety-specific maintenance. However, this study and others (Kron et al., 2001a , b ) demonstrate that the mating consequences of such clustering can be important. This is certainly true with respect to reduced pollen availability and maternal success; while we found no significant effects of block size on maternal success in blocks of up to five rows, several studies have observed reduced fruit set in the center of large blocks (Free and Spencer-Booth, 1964 ; Maggs et al., 1971 ; DeGrandi-Hoffman et al., 1984 ; Milutinovic et al., 1995 ). For apple growers, the effect of block size on paternal success may be less obvious, although growers recognize the importance of pollen transfer among varieties and invest heavily in the services of bees during the bloom to accomplish this. Our research suggests that increasing block sizes significantly reduces the contribution that each row makes as a pollen donor. As demonstrated by the nonsignificant change in siring success with block size, any further increase in block size has little benefit, as most of the additional pollen produced is deposited on flowers within the block. Any pollen that fails to reach a compatible recipient can have a substantial economic cost in terms of wasted effort of bees, which are often hired as colonies for the flowering period. This cost of large block size to effective pollen donation argues strongly for reduced block size and frequent interplantings of pollenizers such as crabapples in commercial orchards.


    FOOTNOTES
 
1 The authors thank C. Leduc and S. Spender for help in the laboratory and field. We also acknowledge the support of the apple growers: J. Van Diepen, W. H. Derks, M. and W. Versteigh, and D. Smith. This research was funded by an NSERC operating grant to B. C. H. and NSERC PGS B to M. B. R. Back

2 Current address: Department of Biological Sciences, University of Calgary, Calgary, Alberta, Canada T2N 1N4 (routley{at}ucalgary.ca ) Back


    LITERATURE CITED
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 LITERATURE CITED
 
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