Compendium of branched broomrape research. Section 6. Life cycle

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Compendium of branched broomrape research Section 6. Life cycle A COMPILATION OF RESEARCH REPORTS FROM THE BRANCHED BROOMRAPE ERADICATION PROGRAM SOUTH AUSTRALIA DECEMBER 213

Compendium of branched broomrape research Information current as of 4 December 213 Government of South Australia 213 Disclaimer PIRSA and its employees do not warrant or make any representation regarding the use, or results of the use, of the information contained herein as regards to its correctness, accuracy, reliability and currency or otherwise. PIRSA and its employees expressly disclaim all liability or responsibility to any person using the information or advice. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 2

Table of Contents 1. Effect of seed density on probability of branched broomrape establishment 4 2. Growing degree days 7 3. Relationship between infected broomrape paddocks and seasonal growing conditions - Analysis 1 17 4. Paddock level broomrape infection in relation to seasonal conditions - Analysis 2 25 See also the following publication: Prider J., Williams A. (214) The reproductive biology and phenology of the introduced root holoparasite, Orobanche ramosa subsp. mutelii (branched broomrape in South Australia (in preparation) DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 3

1. Effect of seed density on probability of branched Ray Correll broomrape establishment CSIRO Mathematics February 23 Abstract The probability of establishment of branched broomrape is shown to be approximately proportional to the number of seeds released. The only assumptions required in deducing the above are that the likelihood of establishment is low and that the seeds are scattered. Consideration is given to the case when the seeds remain clumped the likelihood of establishment is less in such cases the likelihood would be proportional to the number of clusters. Introduction The release of a paddock from quarantine that has been imposed because of an infection of branched broomrape will require a guarantee that that paddock contains no branched broomrape plants or viable seed. Sampling cannot guarantee that there are no seeds in that paddock. Release of paddocks from quarantine must be on a risk basis a paddock is released only when the risk of spread from that paddock is sufficiently low. As well as attempting to release paddocks from quarantine, the branched broomrape program is endeavoring to contain existing infections within a quarantine zone. Various ways are being used to restrict the spread. These include stringent restrictions on the movement of farm machinery and feed. There is also the possibility of stock spreading the disease through ingestion of the seeds and subsequent excretion of the seeds in a viable state. The probability of seed survival will depend on many factors, including the animal type, nutrient levels and the rate of progress of the seed through the gut. The managers of the branched broomrape program are interested in the effect of increasing seed density of broomrape on its probability of successful establishment after passing though the gut of an animal (e.g.. sheep or rabbit). The probability of a seed surviving through the gut is small, but must be considered. This paper deals with the effect of seed density on the probability of a new infestation being caused by seeds that have passed through the gut. Biological assumptions It is assumed that a foraging animal (e.g. sheep or rabbit) can eat seeds of broomrape. A small proportion p of these seeds survives the gut and persists in a location such that it has the potential to flourish into a mature plant. There are several possibilities of how this may occur. We consider two extremes 1. The seeds that are eaten behave independently; 2. The seeds remain clumped (perhaps remaining inside a capsule) up to the time of germination. We will refer to these as the independent and clumped cases. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 4

Estimation of probabilities Independent case The probability of a seed being successful (surviving the gut and being lodged near an appropriate host) we defined above as p. The probability of it not being successful is therefore (1 - p). The probability of two seeds both being unsuccessful is then (1 p) (1 p). This generalizes to the probability of n seeds all being unsuccessful to (1 p) n. The probability of at least one being successful then is P(success) = 1 (1 p) n For low seed density, the probability of successful establishment is proportional to the seed density. Details are given in the section Mathematical Considerations. For a situation where there is a high probability of a success, the above approximation is not quite correct. However you will have lots of branched broomrape, so will not be interested in whether you have 9 or 1 successful establishments will be largely immaterial for plant quarantine (phytosanitary) purposes. In the hypothetical situation that a sheep eats a ripe indehisced capsule of seeds, it is feasible that all the seeds will stay together in their journey through the alimentary canal, and could come out in a single pellet. In that case, it is important where the capsule lands. If one seed is successful, then most of the other seeds could have been successful also. The probability of establishment in that case would be proportional to the number of capsules rather than the number of seeds. Clumped case In this situation, it is assumed that the seeds remain clumped together (perhaps inside the seed capsule) and are excreted in a single pellet. In that situation, if one seed has conditions that are favourable, then it is likely that all seeds will have favourable conditions. The success depends on the factors that affect the whole capsule rather than the individual seeds. It is conceivable that if there is a clump of seeds and only a single available host plant, the probability of success will be governed by the availability of hosts, and seeds from a capsule that lodges in a favourable environment may compete with each other. At a broader level, even if the seeds remain within a capsule, the individual capsules will behave more or less independently. The likelihood of establishment in the clumped case will be reduced (perhaps by a factor somewhat less than the number of seeds in a cluster). In such a case, the likelihood of establishment will be determined more by the number of clusters than the number of seeds per cluster. Mathematical Considerations We consider the formula P(success) = 1 (1 p) n DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 5

For ease of notation we use P to indicate P (success). We expand (1 p) n as a binomial to give 1 np + n(n 1 )/2p 2 n(n 1)(n 2)/6p 3.. When the probability of successful establishment is low (np <<n), the above series can be estimated by the first two terms, namely 1 np. An estimate of successful establishment is therefore P = P(success) 1 (1 np) = np. For small p, where np << 1, the probability of successful establishment is directly proportional to the number of seeds provided that they are randomly distributed (or well mixed in the gut). An alternative derivation can be to consider the rate of change of P as n changes. Differentiating P with respect to n gives dp ln 1 p 1 p n dn We note that ln 1 p p, hence (and also using the approximate binomial expansion) we can write dp p 1 np dn and as (1-np) is approximately 1 for small np <<1, the rate of change of probability P as n increases is directly proportional to p, and almost unaffected by n. It follows therefore that P is directly proportional to n. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 6

2. Growing degree days Anna Williams and Jane Prider Branched Broomrape Eradication Program February 213 Introduction Key limitations for the control of broomrape are finding it, knowing when to look for plants at various developmental stages, and when to apply herbicides, given that herbicides are the key method to prevent emergence after attachments have occurred. This requires knowledge of timing of germination, underground development, attachment and emergence. Growing Degree Days (GDD) are used to determine development rates such as flowering time of plants and also in determining opportune timing for application of chemicals for disease and pest control. They are typically counted from average daily soil temperatures and accumulate over the growing season or the time period of interest. GDD have been used to predict the growth development of Orobanche minor on red clover hosts (Eizenberg et al. 24, Eizenberg et al. 25). GDD have also been used to predict O. cumana and Phelipanche aegyptiaca development on sunflower hosts (Eizenberg et al. 29, Ephrath and Eizenberg 21, Eizenberg et al. 212) and P. aegyptiaca infection of tomato (Ephrath et al. 212). This information has been used in selection of the optimal timing for herbicide applications for O. minor and O. cumana control (Eizenberg et al. 26, Eizenberg et al. 212). In the Quarantine Area, broomrape emergence occurs between July and December. Discovery surveys commence only after the first emerged plants have been found. Out of season emergence has been observed in summer on weeds in irrigated crops. Given the wide potential window of emergence there is a need to understand the developmental cycle. A study was initiated in 26 to evaluate the timing of attachments and emergence in O. ramosa in relation to soil temperature. Methods Glasshouse study 26 Carrot and cretan weed hosts were planted in.8 L pots of sand inoculated with broomrape seed. Pots were prepared by mixing.1 g of broomrape seed per pot of Tailem Bend sand. Four host seeds were sown in each pot and later thinned to one host per pot. Hosts were sown on two planting dates, 5 weeks apart, in August and September 26. Hosts were also planted in November 26 but a limited number of samples were collected from these plants. 1 pots of each host without broomrape seed were controls. Plants were kept in a glasshouse. Soil temperature was recorded with a T-Tech Temperature Logger, recording temperature every 1 minute and recording the hourly average. The daily minimum and maximum soil temperature commencing from the host sowing date were converted to Growing Degree Days (GDD) units using the formula: (1) DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 7

Seven pots of broomrape infested hosts from each planting date were randomly selected every 1 GDD, soil was removed, and the roots were washed. Broomrape attachments were counted and measured on each host plant under a microscope. The controls were collected on the final retrieval date. At harvest the following variables were measured: Host leaf length Number of host leaves Number of host flowers Diameter of base of host stem Length of host tap root Number of broomrape plants Broomrape developmental stage Parasite and host dry weight Broomrape developmental stages were: 1. New attachments: tubercle less than 2 mm in diameter, germ tube typically still present 2. Small attachments: tubercle up to 5 mm in diameter 3. Large attachments: tubercle more than 5 mm in diameter 4. Emerged plants Field study 26 Cretan weed volunteer hosts were sampled at the Mannum Trial Site in 26. 3 cretan weed plants of similar size were selected and tagged with a pin marker soon after establishment. Every week, 1 X 3 cm soil cores, 15 cm deep, centred on each marked plant were collected and the soil washed from the roots. Roots were later examined under a microscope. Host and parasite data were collected as for the glasshouse study. In addition, the broomrape was also divided into the following developmental stages to enable comparisons with other published studies: 1. New attachments (as above) 2. Tubercles with roots: tubercles larger than 2 mm in diameter with roots 3. Tubercles with buds: tubercles with roots (or in some cases the roots may have dropped off) with a bud shoot less than 1 mm long 4. Tubercles with stems: tubercles with roots (or in some cases the roots may have dropped off) with a stem greater than 1 mm long 5. Emerged plants Minimum and maximum soil temperature data were accessed from the nearest weather station at Mypolonga for the calculation of Growing Degree Days (GDD). Temperatures were converted to GDD units using Formula 1. The starting date for the calculation of GDD was the first rains of the season that resulted in the germination of hosts. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 8

log 1 number of broomrape plants per host log 1 number of broomrape plants per host Field study 27 Broomrape plants were collected from volunteer hosts at two sites using the same method as in 26. Cretan weed hosts were sampled from the Mannum trial site and capeweed hosts from a site at Wynarka. Soil temperature data was collected from weather stations located at each of these sites. GDD were calculated using equation 1 from the first rains of the season. Results Glasshouse experiment 26 For planting dates in August and September, broomrape plants were first found attached to cretan weed and carrot hosts 35 days after host seeds were sown. For hosts sown in November, attachments were found at 28 days. The accumulation of GDD occurred slower at the earlier sowing dates such that attachments started appearing at 742, 7 and 58 GDD respectively for cretan weed (Fig. 1A) and 75, 69 and 44 GDD for carrot (Fig. 1B). 1.6 1.4 New attachments PD1 New attachments PD3 Small attachments PD1 Large attachments PD1 New attachments PD2 Emerged PD1 Small attachments PD2 Large attachments PD2 A 1.2 1.8.6.4.2 1.9.8.7.6.5.4.3.2.1 5 1 GDD 15 2 25 5 1 15 2 25 Figure 1. Number of broomrape plants at different stages of development on A) cretan weed hosts and B) carrot hosts, in relationship to cumulative GDD. PD1 = August sowing, PD2 = September sowing, PD3 = November sowing. Each point is the average of 7 host plants (n = 7). For clarity, zero values are not shown for GDD before the first appearance of that tubercle size stage. GDD B DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 9

proportion of broomrape plants number of broomrape attachments 1 8 6 4 2 2 4 6 8 1 root length (cm) Figure 2. Relationship between number of attachments and root length of cretan weeds hosts grown in pots in glasshouse in 26 Figure 3. Weibull four-parameter model fitted to data for total number of broomrape plants on cretan weed hosts grown in the glasshouse in 26. Each point is the average of 7 plants. 1 9 8 7 6 5 4 3 2 1 7 14 21 28 35 42 49 56 63 7 77 84 91 98 15 112 Days after planting Flowering Budding Emerged but no buds Extra large attachments (=>3.1mm) Large attachments (1.1mm - 3mm) Immature attachments (2.1mm - 1mm) New attachments (<= 2mm) Figure 4. Proportion of broomrape plants in different size categories at each sampling date on cretan weed hosts planted in pots in August 26. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 1

soil temperature ( C) rainfall (mm) There was a positive relationship between host root length and the number of new attachments (Fig. 2). Roots less than 1 cm long did not support any attachments. Roots grew to this length earlier in the November plantings. Large attachments were found 42 days (9 GDD) after cretan weed hosts were sown in August. There was an exponential increase in the number of small and large tubercles on cretan weed hosts between 8 and 2 GDD. The first cretan weed plant emerged at 144 GDD. Overall the infection process of cretan weed by broomrape could be fitted to a Weibull four-parameter model (Fig. 3) Tubercle development of broomrape on carrot hosts was slower than on cretan weed. Tubercles were not found until after 1 GDD and the first plant emerged at 156 GDD (Fig. 1B). Only a small proportion of broomrape had emerged by the termination of sampling at 227 GDD or 112 days after the August sowing. Sampling did not extend beyond 15 GDD for the other sowing dates. The proportion of new attachments on cretan weed increased gradually over time however the proportion of new attachments declined as tubercles developed so that by the time of the first emergence new attachments comprised half of the broomrape plants on each host (Fig. 4). 26 Mannum Field Trial The break of the season in Mannum occurred on March 27th in 26 with a fall of over 3 mm in two days (Fig. 5). This resulted in the germination of the target host, cretan weed. Low rainfall occurred throughout the remainder of the growing season. Soil temperatures did not rise above 25 C until the beginning of October. Minimum soil temperatures were approximately 1 C although there were some very low temperatures in early May. The first sampling of broomrape plants occurred in mid May. New attachments and small tubercles with roots were found on this date (Fig. 6). Small tubercles had formed by 73 GDD so these plants became attached before this. Larger tubercles with stems appeared after 75 GDD whilst emerged plants began appearing after 15 GDD. The number of tubercles present per host plant was at its highest from 1 to 15 GDD and decreased after broomrape began emerging. Tubercle number showed no obvious correlation to rainfall (Fig. 6). However, the decrease in broomrape during September may have been a result of the low rainfall during August. The first emerged plant occurred on August 16 th or at 1596 GDD. New attachments continued to be found until the first emerged plant occurred (Fig. 7). Only dead new attachments were found after this date. Young tubercles with roots were found throughout the growing season in approximately equal proportion to young tubercles with bud shoots to less than 1 mm long. Larger tubercles with developing stems (> 1 mm long) began to appear from mid-june or 96 GDD. 4 35 3 25 2 15 1 5-5 -1 minimum soil temperature maximum soil temperature daily rainfall 3 25 2 15 1 5 Figure 5. Rainfall and soil temperatures throughout the 26 growing season. Rainfall data are from the nearest weather station at Mannum (Bureau of meteorology). Soil temperature data are from Mypolonga (SAMDB NRM). DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 11

17-May 24-May 31-May 7-Jun 14-Jun 21-Jun 28-Jun 5-Jul 12-Jul 19-Jul 26-Jul 2-Aug 9-Aug 16-Aug 23-Aug 3-Aug 6-Sep 13-Sep 2-Sep 27-Sep 4-Oct 11-Oct 18-Oct 25-Oct 1-Nov proportion of plants in stage 1-Apr-6 11-Apr-6 21-Apr-6 1-May-6 11-May-6 21-May-6 31-May-6 1-Jun-6 2-Jun-6 3-Jun-6 1-Jul-6 2-Jul-6 3-Jul-6 9-Aug-6 19-Aug-6 29-Aug-6 8-Sep-6 18-Sep-6 28-Sep-6 8-Oct-6 18-Oct-6 28-Oct-6 7-Nov-6 17-Nov-6 27-Nov-6 Number of attachments or rainfall (mm) GDD Small attachments group Large attachments group GDD accumulated from 27/3/6 Murray Bridge Daily Rainfall (mm) Emerged attachments 14 35 12 1 8 3 25 2 6 4 2 15 1 5 Date of collection Figure 6. Average attachments per cretan weed host plant at different stages of development from soil cores collected at the Mannum Trial Site in 26. The Growing Degree Days model is shown by the line. 1.9.8 emerged.7.6.5.4.3 underground stems tubercles with buds tubercles with roots new attachments.2.1 sampling date Figure 7. Proportion of broomrape plants at different stages of development retrieved from 1 soil cores sampled at weekly intervals at the Mannum Trial Site in 26. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 12

19-Mar-7 29-Mar-7 8-Apr-7 18-Apr-7 28-Apr-7 8-May-7 18-May-7 28-May-7 7-Jun-7 17-Jun-7 27-Jun-7 7-Jul-7 17-Jul-7 27-Jul-7 6-Aug-7 16-Aug-7 26-Aug-7 5-Sep-7 15-Sep-7 25-Sep-7 5-Oct-7 15-Oct-7 Rainfall (mm) GDD 16-Apr-7 3-Apr-7 14-May-7 28-May-7 11-Jun-7 25-Jun-7 9-Jul-7 23-Jul-7 6-Aug-7 2-Aug-7 3-Sep-7 17-Sep-7 1-Oct-7 Rainfall (mm) GDD Field studies 27 In the 27 season, breaking rains occurred on April 29 th and rainfall was very low through the growing season, particularly at the more northern Mannum site. The first broomrape attachments at Wynarka were sampled on June 22 nd at 72 GDD (Fig. 8). The first attachments at Mannum were observed on June 12 th at 6 GDD (Fig. 9). The first emergence was sampled at Wynarka on August 31 st at 151 GDD. The first emergence at Mannum was sampled on September 19 th at 173 GDD. Broomrape attachments present GDD accumulation from 1st May 27 5 4 Daily rainfall 25 2 3 15 2 1 1 5 Date of collection Figure 8. Accumulated GDD and presence of broomrape attachments at the Wynarka site 5 4 3 Broomrape attachments present GDD accumulation from 1st May 27 Daily rainfall 25 2 15 2 1 1 5 Date of collection First emerged broomrape found Figure 9. Accumulated GDD and presence of broomrape attachments at the Mannum site. The first emerged plant was found at this site on September 19 th. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 13

% of host plants in flower 18-May-7 7-Jun-7 27-Jun-7 17-Jul-7 6-Aug-7 26-Aug-7 15-Sep-7 5-Oct-7 25-Oct-7 broomrape attachments 4.5 4 3.5 3 2.5 2 1.5 1.5 Mannum Wynarka sampling date Figure 1. Average number of broomrape attachments per core found on sampled host plants on different dates at two sites. 1 9 8 7 6 5 4 3 2 1 5 1 15 2 25 GDD Mannum 26 Mannum 27 Schulz 27 Figure 11. Percentage of host plants in flower at the two field sites in 26 and 27 in relation to growing degree days. There were more broomrape plants at the Mannum site than the Wynarka site (Fig. 1). The peak in broomrape numbers occurred during August at the Mannum site between 1 and 15 GDD. With the exception of root development (see Fig. 2), there were no obvious relationships between host development and broomrape development. For example, peak flowering of cretan weed hosts occurred earlier in 26 than in 27 but broomrape emergence and flowering occurred at similar times in both years (Fig. 11). Cretan weed host plants were much smaller in 27 than in 26 (data not shown). DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 14

Discussion We measured a consistent relationship between soil temperature and broomrape development. This was also relatively consistent between the hosts, cretan weed and carrot, and in field and glasshouse conditions. Under the cooler temperatures that may be expected during the growing season, the first attachments occur between 6 and 75 GDD. Variation could be due to host but may also be due to the timing of the break of season. Earlier breaks when soil temperatures are warmer, would result in faster broomrape germination. Broomrape has an optimal germination temperature of between 18 22 C with slower and less germination occurring outside this temperature range. We found sowing date had an effect on initial attachment, with warmer soil temperatures resulting in earlier attachment. As the first emerged plants occur at around 15 GDD this would set a minimum development time of 75-9 GDD. There is limited data on how long emergence continues as most experiments were terminated after the first plants emerged. Other work has found that if host plants are kept watered emergence can continue at least into December for hosts sown in June. In the field situation we observed a marked decrease in the number of broomrape plants at the end of winter after plants start emerging. No new attachments form and there is probably competition between existing attachments. This could be a result of the dry spring conditions typical of the area in which broomrape grows. Where rainfall is sustained into spring broomrape emergence would be expected to continue over a long time period. Only a small proportion of plants develop to emergence and this is probably also related to resources available to the host. Results from herbicide experiments where plants have been well watered have had large numbers of emerged broomrape per cretan weed host; an average of 1 emerged broomrape per host in 21 and an average of 46 in 211. Our field measurements at Mannum in 26 and 27 illustrate how seasonal affects influence the size of host plants and subsequently the size of broomrape populations. GDD was used by the eradication program to assist with the timing of surveys and herbicide application. Soil temperature data from six weather stations throughout the quarantine area were used to calculate GDD units. This information was presented on a public-accessible web site. Spraying was recommended to occur initially after 1 GDD, when the majority of attachments were predicted to occur. Searches for emerged plants occurred at 15 GDD to confirm the date of the start of the discovery surveys. GDD were also used in research to determine optimal spray times for different herbicides and hosts. For herbicides such as Ally and Intervix, spraying between 5 and 15 GDD gave effective control. For Broadstrike an earlier spray was more successful so the recommended spray date was shifted to 75 GDD. In years with an early season rainfall break and a long growing season with rainfall sustained into spring, a GDD analysis showed that a double spray would be necessary for broomrape control. A double spray was instigated for the 211 spray season. For precise control of broomrape, GDD provide a useful tool, particularly for crops grown in different seasons. Where host elimination is not desirable, timing of herbicide application is vital. For weed hosts, herbicide application and timing that provides the most optimal control will be the best option. Our findings were consistent with the data from Eizenberg et al. (24, 25, 26) which compared Orobanche minor growing on red clover. However our data contradicts the 45 day growth cycle of Orobanche ramosa in Texas ( Mike Chandler, pers comm.). Our model doesn t include a temperature below which development ceases. For our model we assume that temperatures do not fall below temperatures suitable for growth, i.e. 5 C, which is commonly used in other Orobanche GDD modals. We used C but we don t experience temperatures this low in practice. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 15

References Eizenberg, H., J. Colquhoun, and C. Mallory-Smith. 25. A predictive degree-days model for small broomrape (Orobanche minor) parasitism in red clover in Oregon. Weed Science 53:37-4. Eizenberg, H., J. Colquhoun, and C. A. Mallory-Smith. 24. The relationship between temperature and small broomrape (Orobanche minor) parasitism in red clover (Trifolium pratense). Weed Science 52:735-741. Eizenberg, H., J. B. Colquhoun, and C. A. Mallory-Smith. 26. Imazamox application timing for small broomrape (Orobanche minor) control in red clover. Weed Science 54:923-927. Eizenberg, H., J. Hershenhorn, G. Achdari, and J. E. Ephrath. 212. A thermal time model for predicting parasitism of Orobanche cumana in irrigated sunflower-field validation. Field Crops Research 137:49-55. Eizenberg, H., J. Hershenhorn, and J. Ephrath. 29. Factors affecting the efficacy of Orobanche cumana chemical control in sunflower. Weed Research 49:38-315. Ephrath, J. E. and H. Eizenberg. 21. Quantification of the dynamics of Orobanche cumana and Phelipanche aegyptiaca parasitism in confectionery sunflower. Weed Research 5:14-152. Ephrath, J. E., J. Hershenhorn, G. Achdari, S. Bringer, and H. Eizenberg. 212. Use of logistic equation for detection of the initial parasitism phase of Egyptian broomrape (Phelipanche aegyptiaca) in tomato. Weed Science 6:57-63. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 16

3. Relationship between infected broomrape paddocks and seasonal growing conditions - Analysis 1 Mark Habner 1 and Anna Williams 2 1 Rural Solutions South Australia 2 Branched Broomrape Eradication Program January 29 Aim To investigate if there is a relationship between the number of paddocks found with BB each year with seasonal conditions such as start of GDD, date of 15 GDD, growing season rainfall etc. Methods This investigation was carried out using daily rainfall data, from 1 Jan 2 to current, obtained from the Bureau of Meteorology for twelve weather stations that are located near the branched broomrape quarantine area (Table 1, Figure 1). The average daily rainfall for the district during this period was calculated as the average of these twelve sites. Historical soil temperature data from the Bureau of Meteorology for Loxton and soil temperature data collected near Mannum and Wynarka on DWLBC weather stations and from MDBNRM Board stations at Mypolonga, Caurnamont and Swan Reach were used to generate average daily soil temperatures. This is a very limited data set. Daily values for growing degree days were calculated using the average daily soil temperature. Table 1: Details for the Bureau of Meteorology weather stations that measure daily rainfall located near the Branched Broomrape Quarantine Area. Station Number Station Name Latitude Longitude 24517 Mannum Council Depot 34 54'52"S 139 18'4"E 24521 Murray Bridge Comparison 35 7'24"S 139 15'33"E 24535 Swan Reach 34 34'5"S 139 35'5"E 24536 Tailem Bend 35 15'17"S 139 27'15"E 24547 Nildottie 34 4'34"S 139 39'5"E 24572 Wellington (Brinkley South) 35 16'58"S 139 12'11"E 24585 Swan Reach (Ponderosa) 34 3'28"S 139 31'5"E 252 Purnong (Claypans) 34 49'39"S 139 4'2"E 253 Copeville 34 47'42"S 139 5'56"E 256 Karoonda 35 5'24"S 139 53'5"E 2525 Perponda 34 58'24"S 139 48'26"E 254 Bowhill 34 53'39"S 139 4'36"E DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 17

Figure 1. The locations of the Bureau of Meteorology weather stations that measure daily rainfall near the Branched Broomrape Quarantine Area (outlined in red). Table 2: Branched Broomrape discovery statistics since 2. Year Number of at risk 1 paddocks surveyed (A) Number of infested paddocks found (B) Proportion of infested paddocks (C = B/A) Number of new paddocks found Return rate of known paddocks Starting date spring surveys 2 247 177.86 136 39.8% 12 Sep 21 3145 221.7 133 32.% 18 Sep 22 3479 52.15 11 12.6% 1 Sep 23 3661 28.77 122 4.4% 15 Sep 24 3727 64.17 1 9.87% 2 Sep 25 3853 97.25 13 16.6% 19 Sep * 26 3982 147.37 44 17.5% 11 Sep 27 4164 15.25 17 13.7% 1 Sep 28 4551 81.18 24 8.1% 22 Sep 1 At Risk paddocks are those that were surveyed and now fall within the Branched Broomrape Quarantine Area (as of 22/2/9) of The yearly statistics on the branched broomrape season available for analysis include the number of at risk paddocks surveyed, the total number of infested paddocks found, the number of new paddocks found with branched broomrape, the return rate for previously known paddocks infested with broomrape and the starting date for surveys (Table 2). The proportion of infested paddocks found was calculated by dividing the number of infested paddocks found by the number of at risk paddocks surveyed each year. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 18

In each year, indicator sites were regularly visited prior to the start of surveys to monitor for emerged broomrape plants. Surveys only commenced after emerged plants had been observed. This provides a good date for emergence and thus for 15 GDD being reached. Therefore, this data can then be used for testing different break of season scenarios. To determine the date of the break of season (BoS) each year, the GDD curves generated from two rules-of-thumb based on rainfall were compared to predicted date for BoS calculated by assuming that the start of surveys commenced at 15 GDD. The rules-of-thumb tested were; 1mm of rain falling over two days after April 1 st, and 25mm of rain falling over a fortnight ending after April 1 st (Figure 2). 21 and 24 were the only years where the break of season date was more than two days different using the rules-of-thumb tested. In both of these years 25mm falling over a fortnight was closest to the BoS date generated using the starting date for survey data, therefore, this was used in further analysis of the data and the resulting date for the break of season for each year is displayed in Table 3. Table 3: Seasonal temperature and rainfall indicators. Year Date of break of season (based on 25mm in a fortnight) Break of season to 31 st Dec (days) Potential period for emergence (days) (From 15 to 31 st Dec) Pre-season rain (mm) (From 1 Jan to break of season) Seasonal rain (mm) (from start to 15 GDD) Annual rainfall (mm) 2 13 April 263 15 19.1 146.7 371.7 21 28 May 218 11 1.7 148.2 343. 22 2 May 226 14 69.8 81.4 28.6 23 2 May 226 14 111.3 185.7 371.4 24 15 June 2 88 76.7 139.4 325.5 25 11 June 24 9 85.9 25.8 433.2 26 28 April 248 127 91.5 88.9 233.1 27 27 April 249 128 9.9 146.5 335. 28 19 May 227 15 49.4 121.8 269.1 Seasonal conditions including the number of days from the break of season to the end of the year, the potential period for emergence to occur (calculated as the number of days from GDD reaching 15 to the end of the year), annual rainfall, various pre-season rainfall periods (including rainfall between 1 st Jan BoS, 1 st Dec 31 st March and 1 st Dec - BoS), and growing season rainfall periods (including BoS 15 GDD, 1 st Apr 31 st Oct, 1 st Jan 31 st Oct and 1 st Jan 15 GDD) were calculated. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 19

1/1/28 2/2/28 1/4/28 3/5/28 19/7/28 7/9/28 27/1/28 16/12/28 Rainfall (mm) GDD 1/1/26 2/2/26 11/4/26 31/5/26 2/7/26 8/9/26 28/1/26 17/12/26 1/1/27 2/2/27 11/4/27 31/5/27 2/7/27 8/9/27 28/1/27 17/12/27 Rainfall (mm) GDD Rainfall (mm) GDD 1/1/24 2/2/24 1/4/24 3/5/24 19/7/24 7/9/24 27/1/24 16/12/24 1/1/25 2/2/25 11/4/25 31/5/25 2/7/25 8/9/25 28/1/25 17/12/25 Rainfall (mm) GDD Rainfall (mm) GDD 1/1/22 31/1/22 2/3/22 1/4/22 1/5/22 31/5/22 3/6/22 3/7/22 29/8/22 28/9/22 28/1/22 27/11/22 27/12/22 1/1/23 31/1/23 2/3/23 1/4/23 1/5/23 31/5/23 3/6/23 3/7/23 29/8/23 28/9/23 28/1/23 27/11/23 27/12/23 Rainfall (mm) GDD Rainfall (mm) GDD 1/1/2 31/1/2 1/3/2 31/3/2 3/4/2 3/5/2 29/6/2 29/7/2 28/8/2 27/9/2 27/1/2 26/11/2 26/12/2 1/1/21 31/1/21 2/3/21 1/4/21 1/5/21 31/5/21 3/6/21 3/7/21 29/8/21 28/9/21 28/1/21 27/11/21 27/12/21 Rainfall (mm) GDD Rainfall (mm) GDD 2 21 5 4 2 16 14 12 5 4 21 16 14 12 3 2 1 1 8 6 4 2 3 2 1 1 8 6 4 2 22 23 5 4 3 2 Date 22 16 14 12 1 8 6 5 4 3 2 Date 23 16 14 12 1 8 6 1 4 2 1 4 2 24 25 5 4 Date 16 5 14 24 4 25 12 Date 16 14 12 3 2 1 1 8 6 4 2 3 2 1 1 8 6 4 2 26 27 5 4 Date Date 16 5 14 26 4 27 12 16 14 12 3 2 1 8 6 3 2 1 8 6 1 4 2 1 4 2 28 5 4 Date 28 16 14 12 Date 3 2 1 8 6 1 4 2 Date Figure 2. Average daily rainfall for the Branched Broomrape Quarantine area (averaged from 12 BoM weather stations) (primary y-axis) and the accumulation of growing degree days to reach 15 (secondary y-axis) based on the 1mm of rain falling in two days and 25mm of rain falling over a fortnight after April 1 st. The estimation of the break of season based on 15 GDD having accumulated to the date that spring surveys started is shown in blue. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 2

Analysis Regression analysis was used to investigate for a relationship between the amount of broomrape found and the seasonal conditions experienced. The broomrape discovery statistics were classed as response variables (y) and all climate data were potential explanatory variables (x). All combinations of y and x were plotted in scatter plots against each other in excel and linear trendlines were fitted to estimate the correlation between the two variables plotted. The x variable pre-season rain, calculated as the total volume of rain to fall between 1 st Jan and break-of-season, was found to have the strongest correlation of any of the explanatory variables with the proportion of infested paddocks (r 2 =.7) (Figure 3a), the return rate (r 2 =.75) (Figure 4a) and the number of new paddocks found (r 2 =.57) (Figure 5). The reciprocal of proportion of infested paddocks provided a slightly better correlation with pre-season rain (r 2 =.78) (Figure 3b) and the reciprocal of the return rate with pre-season rain also provided a higher correlation (r 2 =.89) (Figure 4b). Transformation (e.g. Log1, square-root and reciprocal) of the number of new paddocks did not improve the correlation to pre-season rain. These scatter plots indicate that a linear relationship may not be the best fit. Therefore, using GENSTAT the fit of polynomial curves was investigated. Results Proportion of infested paddocks The cubic regression for the reciprocal of the proportion of infested paddocks (1/y) on pre-season rain (x), 1/y = -517 + 23.39x.2952x 2 +.1148x 3, provided the best fit (r 2 =.962, P <.1). This regression and the observed proportion of infested paddocks are shown in figure 3 (i.e. Figure 3d has the same data as Figure 3c but it shows y instead of 1/y). Looking at Figure 3c; the quartic regression constantly predicts higher 1/y values than the observed. The quadratic regression doesn t predict the peak in 1/y values when x is around 7 and also doesn t predict a plateau when x is >1. Looking at figure 3d: the quartic regression will always predict a lower proportion of infested paddocks than observed and is least able to predict values when pre-season rain is > 9mm. The quadratic regression has a reasonable fit with the observed data until the pre-season rain is >1mm. The cubic regression shows a downward turn at the last data point (when pre-season rain was >111mm) this may not be reliable and I would be wary of using this equation to predict the extent of broomrape that may be found in a season when pre-season rain doesn t fall between the range of values used in the analysis. Return Rate The quadratic regression for the reciprocal of the return rate (1/y) on pre-season rain (x), 1/y = 16.6.55x.68x 2, provided the best fit (r 2 =.868, P <.1). This regression and the observed return rate are shown in figure 4 (i.e. Figure 4d has the same data as Figure 4c but it shows y instead of 1/y). Looking at Figure 4c it is difficult to visually assess which regression most accurately reflects the observed data. Looking at figure 4d, the quartic regression inaccurately predicts the return rate when pre-season rain is > 1mm. Discussion This data suggests that the volume of rainfall received during the pre-season period from 1 st Jan to the Break of Season is a more important contributor to the amount of branched broomrape that will emerge in the following season than any of the other seasonal indicators tested. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 21

1/Prop_BBpaddocks Prop_BBpaddocks Prop_BBpaddocks 1/Prop_BBpaddocks Observed values excluding 1999 a) b) Observed values excluding 1999.1.8 y =.12x -.642 R 2 =.731 1 8 y =.3x -.71 R 2 =.7373.6 6.4 4.2 2 25 5 75 1 125 Pre-season rain 25 5 75 1 125 Pre-season rain 8 6 4 2 c) d) Linear Prediction Cubic Prediction Observed 1 25 5 75 1 125 Pre-season rain Quadratic Prediction Quartic Prediction Observed.2 Figure 3. Analysis of the proportion of infested paddocks with pre-season rain: a) linear regression of pre-season rain on proportion of infested paddocks, b) linear regression of pre-season rain on the reciprocal of the proportion of infested paddocks, c) polynomial regression of pre-season rain on the reciprocal of the proportion of infested paddocks, showing linear, quadratic, cubic and quartic predictions, d) polynomial regression of pre-season rain on the proportion of infested paddocks, showing linear, quadratic, cubic and quartic predictions..18.16.14.12.1.8.6.4.2 Linear Prediction Cubic Prediction Quadratic Prediction Quartic Prediction 25 5 75 1 125 Pre-season rain DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 22

1/Return Rate Return Rate Return Rate 1/Return Rate Observed values excluding 1999 a) b) Observed values excluding 1999.5.4 y =.56x -.2754 R 2 =.755 15 12 y = -.1656x + 2.867 R 2 =.8944.3 9.2 6.1 3 5 1 15 Pre-season rain 5 1 15 Pre-season rain b) d) Linear Prediction Quadratic Prediction Linear Prediction Cubic Prediction Quartic Prediction Cubic Prediction Observed Observed 15.6 Quadratic Prediction Quartic Prediction 12 9 6 3.5.4.3.2.1 25 5 75 1 125 Pre-season rain 25 5 75 1 125 Pre-season rain Figure 4. Analysis of the return rate of paddocks known to have an infestation with pre-season rain: a) linear regression of pre-season rain on return paddocks, b) linear regression of pre-season rain on the reciprocal of the return paddocks, c) polynomial regression of pre-season rain on the reciprocal of the return paddocks, showing linear, quadratic, cubic and quartic predictions, d) polynomial regression of pre-season rain on the return paddocks, showing linear, quadratic, cubic and quartic predictions. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 23

New Paddocks Observed values excluding 1999 15 12 y = 2.1499x - 13.92 R 2 =.571 9 6 3 5 1 15 Pre-season rain Figure 5. Linear regression of the number of new paddocks found with an infestation of branched broomrape with pre-season rain DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 24

4. Paddock level broomrape infection in relation to Jane Prider seasonal conditions - Analysis 2 Branched Broomrape Eradication Program March 21 Aim To investigate the relationship between the number of paddocks found with branched broomrape each year with seasonal conditions such as start of GDD, date of 15GDD, growing season rainfall etc. Summary Growing season rainfall, the timing of the break of season and broomrape emergence showed no correlation with the level of broomrape infection in paddocks. However, there is a non-linear positive relationship between the amount of rainfall occurring between January 1 st and the break of season and the occurrence of broomrape at the paddock scale. Rainfall totalling more than 1 mm in this period is correlated with high levels of infection, whereas rainfall totals up to 1 mm are correlated with low levels of infection. The models predict that in years with wet summers more paddocks will be infected but this is speculative as to date wet years have only occurred during the initial years of the broomrape program when control measures were not as well developed as in more recent years. Pre-season rainfall explains a high proportion of the variance in year to year occurrence of broomrape and it is therefore worthwhile investigating this further to see whether it has causal effects on broomrape occurrence. Methods Available data Daily rainfall data, from 1 Jan 2 to current, was obtained from the Bureau of Meteorology for twelve weather stations that are located near the branched broomrape quarantine area (Table 1, Fig. 1). The daily rainfall for the district during this period was calculated as the average of these twelve sites. Table 1: Details for the Bureau of Meteorology weather stations that measure daily rainfall located near the Branched Broomrape Quarantine Area. Station Number Station Name Latitude Longitude 24517 Mannum Council Depot 34 54'52"S 139 18'4"E 24521 Murray Bridge Comparison 35 7'24"S 139 15'33"E 24535 Swan Reach 34 34'5"S 139 35'5"E 24536 Tailem Bend 35 15'17"S 139 27'15"E 24547 Nildottie 34 4'34"S 139 39'5"E 24572 Wellington (Brinkley South) 35 16'58"S 139 12'11"E 24585 Swan Reach (Ponderosa) 34 3'28"S 139 31'5"E 252 Purnong (Claypans) 34 49'39"S 139 4'2"E 253 Copeville 34 47'42"S 139 5'56"E 256 Karoonda 35 5'24"S 139 53'5"E 2525 Perponda 34 58'24"S 139 48'26"E 254 Bowhill 34 53'39"S 139 4'36"E DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 25

Figure 1. The locations of the Bureau of Meteorology weather stations that measure daily rainfall near the Branched Broomrape Quarantine Area (outlined in red). In each year, indicator sites were regularly visited prior to the start of surveys to monitor for emerged broomrape plants. Surveys only commenced after emerged plants had been observed. This provides a good date for emergence and thus for 15 GDD being reached. Therefore, this data was used for testing different break of season scenarios. To determine the date of the break of season (BoS) each year, the GDD curves generated from two rulesof-thumb based on rainfall were compared to predicted date for BoS calculated by assuming that the start of surveys commenced at 15 GDD. The rules-of-thumb tested were; 1mm of rain falling over two days after April 1st, and 25mm of rain falling over a fortnight ending after April 1st. 21 and 24 were the only years where the break of season date was more than two days different using the rules-of-thumb tested. In both of these years 25mm falling over a fortnight was closest to the BoS date generated using the starting date for survey data, therefore, this was used in further analysis of the data. Seasonal conditions including the number of days from the break of season to the end of the year, the potential period for emergence to occur (calculated as the number of days from GDD reaching 15 to the end of the year), annual rainfall, pre-season rainfall periods from December and January to break of season, and growing season rainfall periods (from BoS 15 GDD) were calculated (Table 3). Analysis Correlations between predictor variables (Table 3) and response variables (Table 2) were calculated using Spearman s rank correlations. These correlations were tested for a significant departure from the null hypothesis of a random scatter of points (no relationship between predictor and response). Where correlations between variable pairs were significant, linear and second to fourth-order polynomial models were fitted to these data. Each model fit was sequentially tested to determine the minimal model (i.e. the DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 26

model with the fewest terms) that adequately described the relationship between the predictor variable and the response variable. This model (or equation) can be used to predict the response variable from a known value of the predictor variable. Table 2: Branched Broomrape discovery statistics since 2 Year Number of at risk 1 paddocks surveyed (A) Number of infested paddocks found (B) Proportion of infested paddocks (C = B/A) Number of new paddocks found Return rate of known paddocks Starting date of spring surveys 2 247 177.86 136 39.8% 12 Sep 21 3145 221.7 133 32.% 18 Sep 22 3479 52.15 11 12.6% 1 Sep 23 3661 28.77 122 4.4% 15 Sep 24 3727 64.17 1 9.87% 2 Sep 25 3853 97.25 13 16.6% 19 Sep 26 3982 147.37 44 17.5% 11 Sep 27 4164 15.25 17 13.7% 1 Sep 28 4551 81.18 24 8.1% 22 Sep 29 4549 47.1 6 5.2% 7 Sep Table 3: Seasonal temperature and rainfall indicators Year Break of season date (based on 25mm in a fortnight) Break of season to 31 st Dec (days) Potential no. days for emergence (from 15 to 31 st Dec) Pre-season rain (mm) (From 1 Jan to break of season) Seasonal rain (mm) (From start to 15 GDD) Annual rainfall (mm) 2 13 April 263 15 19.1 146.7 371.7 21 28 May 218 11 1.7 148.2 343. 22 2 May 226 14 69.8 81.4 28.6 23 2 May 226 14 111.3 185.7 371.4 24 15 June 2 88 76.7 139.4 325.5 25 11 June 24 9 85.9 25.8 433.2 26 28 April 248 127 91.5 88.9 233.1 27 27 April 249 128 9.9 146.5 335. 28 19 May 227 15 49.4 121.8 269.1 29 27 April 249 135 35.1 1.1 298.1 Results The only significant seasonal predictor for broomrape infection of paddocks was pre-season rainfall (Table 4). The rainfall that occurs from seed production (end of November) to the break of season was significantly correlated with the total number of infected paddocks, with this value expressed as a proportion of all at risk paddocks, and the return rate. Only the rainfall that fell from January to the break of season was significantly correlated with the number of new paddocks found. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 27

pre-season rainfall (mm) There were also significant correlations between the year and the return rate and the pre-season rainfall from January (Table 4). Scatter plots of these variables show that over time the return rate and pre-season rainfall has declined (Figs 2, 3). The pre-season rainfall measured from January 1 st explained more of the variation in broomrape occurrence in paddocks than rainfall measured from December 1 st so the former data was analysed further. Table 4. P-values for Spearman rank correlations between predictor variables and response variables in columns. Shaded cells highlight significant correlations (p <.5). Number of infected paddocks Number of new infected paddocks Proportion of infected paddocks Pre-season rain (from Jan) Predictor Return Rate Days from break of season to emergence.894.497.577.96 Potential emergence period.96.544.638.987 Year.128.9.9.25.43 Annual Rain.98.244.74.82 Seasonal rainfall.54.214.74.74 Pre-season rain (from Dec).38.138.19.16 Pre-season rain (from Jan).3 12 1 8 6 4 2 y = -5.8749x + 11858 R² =.519 1998 2 22 24 26 28 21 year Figure 2. There is a significant negative linear decline in pre-season rainfall (from January to break of season) over time. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 28

return rate return rate.45.4.35.3.25.2.15.1.5 y =.2x 4-1.5345x 3 + 4616.9x 2-6E+6x + 3E+9 R² =.632 1998 2 22 24 26 28 21 Figure 3. There is a significant negative non-linear (quartic) decline in return rate over time. year The relationship between pre-season rainfall and broomrape occurrence was non-linear. Quadratic polynomial models provided the best minimal fit to all response variables; return rate (Fig. 4), proportion of infected paddocks (Fig. 5), new paddocks and number of paddocks infected (Fig. 6). However, these models provided a poor fit to the lower rainfall values. Cubic polynomial models were also significant and gave a better fit to data points at low rainfall values. For return rate, the proportion of infected paddocks and new paddocks (Figs 4, 5, 6), there was little change in broomrape occurrence when pre-season rainfall was less than 1 mm. Pre-season rainfall values above 1 mm were correlated with high levels of infected paddocks..45.4.35.3.25.2.15.1.5 y = 2E-6x 3 -.4x 2 +.213x -.3454 R² =.9593 2 4 6 8 1 12 pre-season rainfall (mm) Figure 4. Scatterplot of return rate in relation to rainfall falling between January 1 st and the break of season. The quadratic model (solid line) is the minimal model fit but the cubic model (dashed line, equation on chart) provides a better fit for data points at lower rainfall values. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 29

number of paddocks proportion of infected paddocks.1.9.8.7.6.5.4.3.2.1 y = 3E-7x 3-5E-5x 2 +.22x -.221 R² =.927 2 4 6 8 1 12 pre-season rainfall (mm) Figure 5. Scatterplot of proportion of infected paddocks in relation to rainfall falling between January 1 st and the break of season. The quadratic model (solid line) is the minimal model fit but the cubic model (dashed line, equation on chart) provides a better fit for data points at lower rainfall values. 3 25 2 15 1 New paddocks Infected paddocks New paddocks y =.7x 3 -.1142x 2 + 5.595x - 75.286 R² =.8384 5 Infected paddocks y =.6x 3 -.753x 2 + 3.16x + 18.225 R² =.8494 5 1 15 pre-season rainfall (mm) Figure 6. Scatterplots of number of new paddocks and total number of infected paddocks found during surveys in relation to rainfall falling between January 1 st and the break of season. The quadratic model (solid line) is the minimal model fit but the cubic model (dashed line, equations on chart) provides a better fit for data points at lower rainfall values. Discussion Growing season rainfall, the timing of the break of season and emergence showed no correlation with the level of broomrape infection in paddocks. Pre-season rainfall has a significant non-linear correlation with broomrape infection at the paddock level and explains more than 9% of the year to year variance in return rate and the proportion of infected paddocks. The models predict that rainfall above 1 mm during the summer months is critical. Higher return rates, more new infected paddocks and a higher proportion of infected paddocks have all occurred in the growing season following high summer rainfall. However, management of broomrape potentially confounds the results. Two of the wettest years occurred at the beginning of the program (Figs 2, 3), when management of broomrape may not have been as effective as later in the program, as suggested by the low return rates in 28 and 29. DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 3

One of the uses of these models is to be able to predict the severity of broomrape emergence in paddocks from the growing conditions of that year. Cubic models have the best predictive power as they provide a better fit to the data at low rainfall levels. It would be possible to use this model to predict the level of infection in a given year based on the pre-season rainfall. For 29, a return rate of 8% was predicted and the return rate was 5.2%. The model may provide a useful check on whether management is reducing broomrape occurrence at the paddock level, taking into account seasonal factors. Although these models show some interesting relationships they have no biological basis. They are useful for formulating questions for further research. The models indicate that seed bank processes have a greater impact on broomrape occurrence than processes that occur during the growing season. Preseason rainfall has high explanatory power and it is therefore worthwhile investigating this further to see whether it has causal effects on broomrape occurrence. This paper is based on the earlier work by Mark Habner & Anna Williams (Section 6.3). DECEMBER 213 BRANCHED BROOMRAPE RESEARCH PAGE 31