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Scott J. Denholm, Andrew S. Hoyle, Andrew P. Shinn, Giuseppe Paladini, Nick G. H. Taylor, Rachel A. Norman
Predicting the Potential for Natural Recovery of Atlantic Salmon (Salmo salar L.) Populations following the Introduction of Gyrodactylus salaris Malmberg, 1957 (Monogenea)
www.plosone.org
www.plosone.org
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404.2205 667.3323 m
413.7449 667.3323 l
h
f*
521.1213 654.3496 m
530.6457 654.3496 l
h
f*
273.8835 602.3055 m
283.4079 602.3055 l
h
f*
285.6756 602.3055 m
295.2 602.3055 l
h
f*
399.9118 602.3055 m
404.674 602.3055 l
h
f*
406.9417 602.3055 m
416.4661 602.3055 l
h
f*
418.7339 602.3055 m
428.2016 602.3055 l
h
f*
545.8961 602.3055 m
550.6583 602.3055 l
h
f*
552.8693 602.3055 m
562.3937 602.3055 l
h
f*
453.4299 563.3008 m
462.9543 563.3008 l
h
f*
465.222 563.3008 m
474.6898 563.3008 l
h
f*
352.9134 498.3307 m
362.4378 498.3307 l
h
f*
415.4457 498.3307 m
424.9134 498.3307 l
h
f*
279.6094 446.3433 m
289.1339 446.3433 l
h
f*
248.6551 407.3386 m
258.3496 407.3386 l
h
f*
260.674 407.3386 m
270.3685 407.3386 l
h
f*
272.6929 407.3386 m
282.3874 407.3386 l
h
f*
284.7685 407.3386 m
294.463 407.3386 l
h
f*
427.6913 394.2992 m
437.3858 394.2992 l
h
f*
337.7764 342.3118 m
347.4709 342.3118 l
h
f*
437.4425 329.3291 m
442.3181 329.3291 l
h
f*
533.1402 316.3465 m
542.8346 316.3465 l
h
f*
394.9228 225.2976 m
399.685 225.2976 l
h
f*
401.9528 225.2976 m
411.4772 225.2976 l
h
f*
416.6362 225.2976 m
426.1606 225.2976 l
h
f*
486.3118 212.315 m
495.8362 212.315 l
h
f*
292.8756 186.3496 m
302.4 186.3496 l
h
f*
304.6677 186.3496 m
314.1921 186.3496 l
h
f*
451.3323 160.3276 m
460.8 160.3276 l
h
f*
466.0157 160.3276 m
475.5402 160.3276 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 211.9748 707.4141 cm
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404.9575 146.948 m
414.4252 146.948 l
h
f*
416.6929 146.948 m
426.2173 146.948 l
h
f*
396.7937 107.9433 m
421.9654 107.9433 l
h
f*
431.8866 94.9039 m
484.4409 94.9039 l
h
f*
325.3606 81.9213 m
355.2945 81.9213 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 200.0125 707.4141 cm
BT
/F9 1 Tf
1 TL
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(immune)Tj
3.6226 0 Td
(response)Tj
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q
1 j
1 J
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11.9999 0 0 11.9999 200.0125 605.4236 cm
BT
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Q
q
1 j
1 J
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BT
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0.009 Tc
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1.3606 0 Td
(model)Tj
2.8119 0 Td
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(an)Tj
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(ordinary)Tj
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(differential)Tj
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(\(ODE\))Tj
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(death)Tj
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1.7972 0 Td
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(dislodgement)Tj
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1.8028 0 Td
()Tj
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(addition,)Tj
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(we)Tj
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(an)Tj
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(the)Tj
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1.7971 0 Td
[()]TJ
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(as)Tj
1.0374 0 Td
(parasite)Tj
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(numbers)Tj
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(grow;)Tj
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(this)Tj
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(turn)Tj
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(the)Tj
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(parasite)Tj
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(death)Tj
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(rate)Tj
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(by)Tj
1.2076 0 Td
(a)Tj
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(rate)Tj
/F14 1 Tf
1.7972 0 Td
[()]TJ
/F9 1 Tf
(.)Tj
1.2812 0 Td
(Finally,)Tj
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(the)Tj
1.508 0 Td
(immune)Tj
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(response)Tj
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(a)Tj
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(continuous)Tj
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(rate)Tj
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1.8028 0 Td
[()]TJ
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(.)Tj
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1.8198 0 Td
(equations)Tj
4.2123 0 Td
(for)Tj
1.4229 0 Td
(these)Tj
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(are)Tj
1.491 0 Td
(shown)Tj
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1.3209 0 Td
(\(1\))Tj
0 g
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(below:)Tj
ET
Q
q
1 j
1 J
0 w
330.1228 449.8583 m
340.8945 449.8583 l
340.8945 449.4614 l
330.1228 449.4614 l
f*
10 0 0 10 330.1228 453.9401 cm
BT
/F14 1 Tf
1 TL
0 0 Td
[()]TJ
0.1133 -1.3662 Td
[()14()]TJ
/F17 1 Tf
1.4684 0.6859 Td
()Tj
/F14 1 Tf
1.2699 0 Td
[()]TJ
/F17 1 Tf
0.5726 0 Td
()Tj
/F18 1 Tf
(m)Tj
/F17 1 Tf
1.1622 0 Td
( )Tj
/F16 1 Tf
0.9921 0 Td
()Tj
/F17 1 Tf
0.7143 0 Td
( )Tj
/F18 1 Tf
0.9921 0 Td
(r)Tj
/F14 1 Tf
[()]TJ
/F17 1 Tf
1.1622 0 Td
( )Tj
/F18 1 Tf
0.9922 0 Td
(l)Tj
/F17 1 Tf
()Tj
ET
Q
q
1 j
1 J
0 w
330.1228 423.0425 m
339.0236 423.0425 l
339.0236 422.6457 l
330.1228 422.6457 l
f*
10 0 0 10 330.1228 427.1244 cm
BT
/F14 1 Tf
1 TL
0 0 Td
[()]TJ
0.017 -1.3662 Td
[()14()]TJ
/F17 1 Tf
1.5647 0.6859 Td
()Tj
/F14 1 Tf
1.2699 0 Td
[()]TJ
0.7937 0 Td
[()]TJ
/F17 1 Tf
0.7937 0 Td
( )Tj
/F18 1 Tf
0.9921 0 Td
(x)Tj
/F14 1 Tf
[()]TJ
/F17 1 Tf
17.9035 1.4399 Td
()Tj
/F9 1 Tf
(1)Tj
/F17 1 Tf
()Tj
ET
Q
q
1 j
1 J
0 w
11.9999 0 0 11.9999 200.0125 360 cm
BT
/F0 1 Tf
1 TL
0.0075 Tc
0 0 Td
(Full)Tj
1.8519 0 Td
(salmon)Tj
3.4725 0 Td
(population)Tj
4.8709 0 Td
(model)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 200.0125 342.9921 cm
BT
/F9 1 Tf
1 TL
-0.004 Tc
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(The)Tj
1.7801 0 Td
(individual)Tj
4.2916 0 Td
(fish)Tj
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(host)Tj
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(model)Tj
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(the)Tj
1.4684 0 Td
(equations)Tj
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(in)Tj
0.83 0.64 0.02 0 k
1.0374 0 Td
(Eq)Tj
1.2983 0 Td
(\(1\))Tj
0 g
(,)Tj
1.5987 0 Td
(to)Tj
1.0262 0 Td
(a)Tj
0.6519 0 Td
(popu-)Tj
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(lation)Tj
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(of)Tj
1.0148 0 Td
(hosts)Tj
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(and)Tj
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(parasites.)Tj
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(the)Tj
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(host)Tj
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(population,)Tj
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4.8132 0 Td
[()]TJ
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(,)Tj
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(is)Tj
0.8504 0 Td
(assumed)Tj
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(to)Tj
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(follow)Tj
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(a)Tj
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(logistic)Tj
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(growth)Tj
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(function,)Tj
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3.8551 0 Td
[()]TJ
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0.703 0 Td
(being)Tj
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(the)Tj
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(birth)Tj
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1.9729 0 Td
[()]TJ
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0.6973 0 Td
(the)Tj
1.4684 0 Td
(natural)Tj
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(death)Tj
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(rate)Tj
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(and)Tj
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1.7291 0 Td
[()]TJ
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(representing)Tj
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(density-)Tj
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(competition,)Tj
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(with)Tj
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(an)Tj
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(rate)Tj
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(on)Tj
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(parasite)Tj
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(burden,)Tj
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3.3505 0 Td
()Tj
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[()]TJ
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(.)Tj
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(The)Tj
-35.7163 -1.2983 Td
(equations)Tj
4.0932 0 Td
(for)Tj
1.3833 0 Td
(average)Tj
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(parasite)Tj
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(burden,)Tj
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3.3505 0 Td
[()]TJ
1.0942 0 Td
[()]TJ
0.8107 0 Td
[()]TJ
/F9 1 Tf
(,)Tj
2.0409 0 Td
(or)Tj
1.0942 0 Td
(density)Tj
3.1011 0 Td
(of)Tj
1.0148 0 Td
(parasite)Tj
3.3278 0 Td
(per)Tj
1.5307 0 Td
(host)Tj
1.9162 0 Td
(\(where)Tj
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2.9877 0 Td
[()]TJ
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0.7711 0 Td
(is)Tj
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(the)Tj
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(total)Tj
2.0012 0 Td
(on-host)Tj
3.3222 0 Td
(parasite)Tj
3.3278 0 Td
(density\),)Tj
3.6624 0 Td
(and)Tj
1.7348 0 Td
(immune)Tj
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(response,)Tj
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3.9572 0 Td
[()]TJ
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(,)Tj
0.7766 0 Td
(are)Tj
1.4514 0 Td
(taken)Tj
2.4207 0 Td
(from)Tj
0.83 0.64 0.02 0 k
2.2054 0 Td
(Eq)Tj
1.2926 0 Td
(\(1\))Tj
0 g
(,)Tj
1.6044 0 Td
(but)Tj
1.5534 0 Td
(expanded)Tj
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(in)Tj
1.0318 0 Td
(that)Tj
1.7801 0 Td
(the)Tj
1.4683 0 Td
(parasite)Tj
3.3279 0 Td
(burden)Tj
3.1238 0 Td
(decreases)Tj
3.9741 0 Td
(due)Tj
1.6951 0 Td
(to)Tj
1.0261 0 Td
(deaths)Tj
2.795 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(host)Tj
1.9106 0 Td
(due)Tj
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(to)Tj
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(infection,)Tj
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4.0195 0 Td
()Tj
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(,)Tj
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(and)Tj
1.7291 0 Td
(birth)Tj
2.194 0 Td
(of)Tj
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(new)Tj
1.8765 0 Td
(\(initially)Tj
3.5886 0 Td
(parasite-free\))Tj
5.5219 0 Td
(hosts.)Tj
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(on-host)Tj
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(parasite)Tj
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(distribution)Tj
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(is)Tj
0.8503 0 Td
(assumed)Tj
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(to)Tj
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(follow)Tj
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(a)Tj
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(distribution)Tj
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(the)Tj
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(population,)Tj
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(the)Tj
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(parasite-)Tj
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(death)Tj
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(rate,)Tj
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1.9729 0 Td
()Tj
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(.)Tj
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(Poisson)Tj
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3.5376 0 Td
(binomial)Tj
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(distributions)Tj
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(giving)Tj
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(similar)Tj
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(results,)Tj
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(the)Tj
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(Poisson)Tj
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(however,)Tj
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(simplified)Tj
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(the)Tj
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(model)Tj
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(and)Tj
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(chosen.)Tj
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(off-host)Tj
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(parasite)Tj
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(density,)Tj
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3.3279 0 Td
[( )]TJ
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(,)Tj
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(is)Tj
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(assumed)Tj
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(the)Tj
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(the)Tj
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(\(either)Tj
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1.1792 0 Td
(choice)Tj
2.7949 0 Td
(or)Tj
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(host)Tj
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(death\))Tj
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(and)Tj
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(decrease)Tj
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(parasite)Tj
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(death,)Tj
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2.6589 0 Td
[(!)]TJ
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(or)Tj
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(parasite)Tj
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(latching)Tj
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(at)Tj
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(a)Tj
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1.7462 0 Td
()Tj
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(,)Tj
0.9354 0 Td
(which)Tj
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1.0375 0 Td
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1.9672 0 Td
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(burden.)Tj
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(It)Tj
0.8561 0 Td
(is)Tj
0.8504 0 Td
(important)Tj
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1.0261 0 Td
(note)Tj
1.9956 0 Td
(that)Tj
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(actual)Tj
2.5851 0 Td
(parasite)Tj
3.3222 0 Td
(death)Tj
2.4321 0 Td
(rates)Tj
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(are)Tj
1.4513 0 Td
(highly)Tj
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