Marine Transport Lines, Inc. (“Marine Transport”) brought an admiralty action against M/V Tako Invader, Lumar Marine, Inc., and Tako Towing, Inc. (“Tako Towing”) to recover damages its barge sustained in a collision with the Tako Invader on the Mississippi River. Tako Towing appeals the district court’s calculation of damages and apportionment of fault. Finding only a mathe-matícal error in the court’s calculation of damages, and an insufficient legal basis for its apportionment of fault, we affirm in part and remand in part.
I
In the early hours of a February morning, two barges in tow on the Mississippi River collided just below the Luling Bridge near mile 121.5. Marine Transport’s tug, M/V Marine Guardian, with its barge the MBC-2 in tow, was on its way up the river to Baton Rouge, Louisiana, where she was to load cargo for a journey to Mexico. She had been following a second tow, M/V Creole Rivers, for some time, unable to pass her because of downbound traffic. Finally, an opportunity to pass the Creole Rivers on her starboard side presented itself, and the Marine Guardian proceeded to overtake the Creole Rivers. This maneuver placed the Marine Guardian between the Creole Rivers and the east, or left-descending, bank of the river.
As the Marine Guardian slowly gained alongside the Creole Rivers, her mate, Captain Jack Sears, heard the Creole Rivers reach a port-to-port passing agreement with a downbound vessel, M/V Tako Invader. He saw the Tako Invader’s lights above the Lul-ing Bridge, on the east side of the river, 1 but he soon lost them in the bridge’s supports. The movement of the lights suggested to Captain Sears that the Tako Invader was slipping toward the west bank. Captain Sears did not communicate with the Tako Invader. Instead, he assumed that because he was on the eastern side of the river, safely to starboard of the Creole Rivers, he too could pass the Tako Invader port-to-port. 2
*1140 Captain Sears did, however, send a deckhand named Rowe top-side to observe the Tako Invader. Rowe rushed back to the wheelhouse, grabbed some binoculars, and returned top-side. When he ran back down to the wheelhouse again, he informed Captain Sears, “You’d better do something, [the Tako Invader’s] right ahead of you.” Captain Sears then heard an excited conversation on his radio between the Tako Invader and the Creole Rivers, and about a minute later, according to Captain Sears, “I knocked the shit out of him or he knocked the shit out of me, one way or another.”
Marine Transport sued Tako Towing in admiralty, alleging that the Tako Invader’s negligent operation and failure to adhere to the applicable navigational rules caused the collision and resulting damage to Marine Transport’s barge. The district court found the Tako Invader in violation of Rules 7, 8, 9, and 14 of the Inland Navigational Rules (“the Rules”), and the Marine Guardian in violation of Rules 7, 8, 14, and 34. Based on this finding, the court apportioned 75% of the fault to the Tako Invader and 25% to the Marine Guardian. Consequently, the court awarded Marine Transport detention damages in the amount of $61,072.50 and repair costs in the amount of $80,374.77. Tako Towing now appeals, arguing that the district court’s findings were clearly erroneous and that the court misinterpreted Rules 9 and 14.
II
A
Tako Towing argues that the district court incorrectly calculated Marine Transport’s damages. Determinations of the trial court concerning the amount of damages are factual findings, and we will set them aside only if clearly erroneous.
See Todd Shipyards Corp. v. Turbine Serv., Inc.,
Specifically, Tako Towing contests the district court’s calculation of detention damages, the profits that Marine Transport lost while its vessel was detained for collision repairs. “A ship owner is entitled to damages for the loss of use of its vessel in addition to the cost of repairs of the vessel.”
Kim Crest, S.A. v. M.V. Sverdlovsk,
Tako Towing first argues that the district court erroneously failed to reduce Marine Transport’s detention damages by an “historical utilization rate,” a rate that reflects the portion of a typical time period that the vessel does not earn revenue. The district court applied the traditional “three voyage rule” to calculate detention damages. According to this rule, “the court determines the charter hire rate for the voyage immediately preceding the collision, the charter hire rate during the voyage of the casualty, and the charter hire rate of the first voyage succeeding the casualty and averages them.”
Kim Crest,
Tako Towing cites our decision in
Todd Shipyards v. Turbine Serv., Inc.,
In contrast, the Marine Guardian essentially missed one voyage. At the time of the collision, she was on her way to Baton Rouge, where she was to load cargo at an Exxon Chemical facility for a voyage to Mexico. Presumably because the voyage was expected to take between 12 and 15 days, and the Marine Guardian was detained for collision repairs for 14.3 days, the district court did not discount Marine Transport’s detention damages to reflect a probable rate of utilization. In effect, the district court assumed a utilization rate of 100% for those 14.3 days.
3
Because the expected length of the Marine Guardian’s impending voyage approximately equalled the number of days she was detained for collision repairs, a probable utilization rate of 100% permitted the district court to arrive at Marine Transport’s detention damages with reasonable certainty.
See Inland Oil & Transp. Co. v. Ark-White Towing,
Tako Towing also claims the district court erroneously relied on Marine Transport’s estimates of its variable costs. Variable costs are deducted from the charter rate to arrive at lost profits.
See Kim Crest,
Tako Towing concedes that a damages award may be based on estimates, but argues that “it is necessary that the assumptions rest on adequate data.”
Malley-Duff & Assocs. v. Crown Life Ins. Co.,
Finally, Tako Towing points out an error in the district court’s arithmetic. The court found detention damages to be $105,000 in lost revenues minus $25,255 for variable costs saved. Seventy-five percent of this amount ($79,745) is $59,808.75, but the figure included in the court’s final judgment is $61,072.50. Accordingly, if the district court’s apportionment of fault does not change on remand, see infra part II.B, we order the judgment modified in this respect.
B
Tako Towing also appeals the district court’s apportionment of fault, primarily on the ground that the court misinterpreted the Inland Navigational Rules. We review the trial court’s factual finding of relative fault in a collision under the clearly erroneous standard.
Inland Oil & Transp. Co. v. Ark-White Towing,
The district court found that the Tako Invader violated Rules 7, 8, 9, and 14, and that the Marine Guardian violated Rules 7, 8, 14, and 34. When both parties to a collision have violated statutory regulations designed to prevent collisions, the trier of fact apportions fault between the vessels unless either vessel proves that its fault was not a substantial contributing cause of the collision.
See Otto Candies, Inc. v. M/V Madeline D,
The court’s bench ruling points to two areas of fault underlying its apportionment of 75% fault to the Tako Invader. First, the court found that Captain Schipplein failed to exercise sufficient caution after noticing what he concluded was a sideways barge downriver. Second, it held that “because the Tako Invader was on the eastern side of the river, contrary to the agreed to port-to-port passage as set out in Rules 9 and 14 of the Inland River Navigational Rules, she was in violation of the statute.” Tako Towing challenges the second of these conclusions on two grounds.
First, Tako Towing argues that the court erroneously applied Rule 9, the “Narrow Channel Rule,”
5
because the channel in which the collision occurred is 1200 feet wide and therefore not a “narrow channel.”
6
Neither Rule 9 nor the Inland Navigational Rules Act defines “narrow channel.” Courts interpreting the predecessor “Narrow Channel Rule,” Article 25 of the Inland Rules, 33 U.S.C. § 210 (1976) (repealed), agreed that the determination of what is a “narrow channel” is a mixed question of law and fact.
Canal Barge Co. v. China Ocean Shipping Co.,
Assuming Rule 9 applies, Tako Towing also argues that “[n]o rule, and particularly not Rules 9 or 14 ..., requires that a vessel stay on one side or the other of a nonexistent imaginary line down the center of the river.” Rule 9(a) provides:
(i) A vessel proceeding along the course of a narrow channel or fairway shall keep as near to the outer limit of the channel or fairway which lies on her starboard side as is safe and practicable.
(ii) Notwithstanding paragraph (a)(i) and Rule 14(a), a power-driven vessel operating in narrow channels or fairways on the Great Lakes, Western Rivers, 8 or waters specified by the Secretary, and proceeding downbound with a following current shall have the right-of-way over an upbound vessel, shall propose the manner and place of passage, and shall initiate the maneuvering signals prescribed by Rule 34(a)(i), as appropriate. The vessel proceeding up-bound against the current shall hold as necessary to permit safe passing.
33 U.S.C. § 2009(a) (1988). Rule 14 provides:
(a) Unless otherwise agreed, when two power-driven vessels are meeting on reciprocal or nearly reciprocal courses so as to involve risk of collision each shall alter her course to starboard so that each shall pass on the port side of the other.
(d) Notwithstanding paragraph (a) of this Rule, a power-driven vessel operating on the Great Lakes, Western Rivers, or waters specified by the Secretary, and proceeding downbound with a following current shall have the right-of-way over an upbound vessel, shall propose the manner of passage, and shall initiate the maneuvering signals prescribed by Rule 34(a)(i) as appropriate.
33 U.S.C. § 2014 (1988). Relying on Rule 9(a)(ii) and Rule 14(d), Tako Towing argues that as the downbound vessel, the Tako Invader had the right-of-way and the Marine Guardian was required to stay clear. Marine Transport, on the other hand, interprets the rules as requiring vessels to proceed up and down the Mississippi on their starboard side of the river. The court’s finding that the Tako Invader was positioned on the east side of the river is irrelevant under Tako Towing’s interpretation of the rules and conclusive under Marine Transport’s. We conclude that neither interpretation fully captures the meaning of Rules 9 and 14.
Rule 9 explicitly directs vessels to keep as near to their starboard side as “is safe and practicable.” 33 U.S.C. § 2009(a)(i). The court’s finding that the Tako Invader was proceeding down the East side of the channel (the side to the Tako Invader’s port) placed the Tako Invader in clear violation of Rule 9(a)(i). The question then becomes whether the “right-of-way” provision of Rule 9(a)(ii) allowed the downbound Tako Invader to take the course she did. This question requires us to reconcile Rule 9’s potentially contradictory subsections (a)(i) and (a)(ii): one requires vessels to stay to their starboard side of the river, and the other gives *1144 downbound vessels the right-of-way. The parties have cited no cases, and we have found none, reconciling this conflict. 9
We do not read Rule 9(a)(ii)’s right-of-way provision to allow downbound vessels absolute freedom to proceed down the Mississippi River however they choose. Instead, it gives downbound vessels the authority to deviate from the “keep to starboard” requirement of Rule 9(a)(i) provided they comply with the procedures enumerated in Rule 9(a)(ii). In other words, the downbound vessel’s right-of-way under Rule 9(a)(n) is conditional — it depends on the downbound vessel’s having proposed a manner and place of passage and initiated the maneuvering signals prescribed by Rule 34(a)(i), as appropriate. When the downbound vessel exercises its authority under Rule 9(a)(ii), the upbound vessel must give way, even “hold as necessary to permit safe passing.” 33 U.S.C. 2009(a)(ii).
The legislative history of Rule 9 supports this interpretation of the rule. Rule 9 was among the rules Congress enacted in the Inland Navigational Rules Act of 1980 (“INRA”), Pub.L. No. 96-591, 94 Stat. 3415 (codified as amended at 38 U.S.C. §§ 2001-73 (1988)). The INRA was designed to unify the rules governing navigation in the inland waters of the United States by replacing the existing Inland Rules, Western Rivers Rules, and Great Lakes Rules with a consolidated set of “Inland Navigational Rules.”
See
S.Rep. No. 979, 96th Cong., 2d Sess. 1 (1980) (“INRA Senate Report”),
reprinted in
1980 U.S.C.C.A.N. 7068; INRA § 8,
There is presently no requirement on the Western Rivers for vessels to keep to the starboard side of a channel. This new rule, however, requires compliance by all vessels and not solely steam vessels (now described as “power-driven vessels”) on all waters. The rule places a burden on a vessel which is on the port side of a channel to have a need for being there or to establish agreement for a starboard-to-starboard passage.
Rule 9(a)(ii) is not found in the 72 Col-regs[ 10 ] and is the result of a requirement for different rules because of peculiar or special operating conditions on certain inland waters. This rule is similar to existing Western Rivers Rule 19, existing Western Rivers Pilot Rule 95-11, and existing Great Lake Rule 24. It recognizes the limited maneuverability of a down-bound vessel and the occasional need to deviate from Rule 9(a)(i) as a result of river current patterns when rounding a bend in twisting, narrow channels and fairways. Giving the right-of-way and choice in passing to downbound vessels, with a following current, in the waters designed [sic] in Rule 9(a)(ii) is considered essential for the safety of navigation in narrow channels and fairways.
INRA Senate Report at 9-10, reprinted in 1980 U.S.C.C.A.N. at 7077. In effect, Congress merged the “keep to starboard” requirement of the former Inland Narrow Channel Rule, 33 U.S.C. § 210 (1976) (repealed), with the downbound vessel’s right-of-way under the former Western Rivers Narrow Channel Rule, 33 C.F.R. § 95.11 (1978) (repealed). The Senate Report clarifies that the downbound vessel’s right-of-way does not entitle her generally to ignore the “stay to starboard” rule of Rule 9(a)(i), but rather entitles the downbound vessel to deviate from the default rule of 9(a)(i) as circumstances may require. The plain language of the rule, in turn, requires downbound vessels exercising this option to propose the manner of passage and initiate any necessary maneuvering signals.
With respect to Rule 14, we agree with Tako Towing that it alone does not require *1145 “that a vessel stay on one side or the other of a non-existent imaginary line down the center of the river.” Indeed, if Rule 14 required vessels to keep to their starboard side of the river, this would render Rule 9(a)(i) redundant. 11 Nevertheless, Rule 14’s requirement that vessels pass port-to-port does make a vessel’s course and location on the river relevant to a determination whether she violated Rule 14. For example, a court could reasonably conclude that a downbound vessel’s position on the east side of the channel prevented her from being able to pass an upbound vessel port-to-port as required by the rule.
We further hold that Rule 14(d)’s right-of-way for downbound vessels modifies Rule 14(a) in the same way that Rule 9(a)(ii) modifies Rule 9(a)(i). Specifically, Rule 14(d) gives a downbound vessel on the Mississippi authority to depart from the default requirement of a port-to-port passing, provided she complies with the requirements of Rule 14(d). As with Rule 9(a)(ii), we have found no case law interpreting the interaction of Rules 14(a) and (d). However, because Rule 14(d) is nearly identical to Rule 9(a)(ii), Rule 9(a)(ii)’s legislative history is similarly relevant.
12
In addition, pre-INRA cases are more informative on the question of the interaction between Rule 14(a) and 14(d) than with respect to Rule 9. Former Western Rivers Rule 18, 33 U.S.C. § 343 (1976) (repealed) required vessels meeting end on to pass port-to-port and at the same time gave downbound vessels the right-of-way. Cases interpreting the right-of-way provision of former section 343 support our interpretation of Rule 14. In
Inland Oil & Transport Co. v. Ark-White Touting Co.,
In sum, we hold that a vessel descending the Mississippi River must adhere to the default requirements of Rules 9 and 14 (that is, stay to starboard through a narrow channel and generally pass port-to-port) unless otherwise agreed; however, downbound vessels may force a departure from these default rules provided they comply -with the requirements in Rules 9(a)(ii) and 14(d) that they propose the manner of passage and initiate maneuvering signals prescribed by Rule 34(a)(i), as appropriate. The district court in this case found that “because the Tako Invader was on the eastern side of the river, contrary to the agreed to port-to-port passage as set out in Rules 9 and 14 ..., she was in violation of the statute.” However, the Tako Invader’s position on one side or the other of the center of the river does not conclusively establish that she violated Rule 14, and the court did not make the findings necessary to support its application of Rule 9. Consequently, we remand this issue for further consideration. 13
Tako Towing’s remaining arguments regarding the court’s apportionment of fault essentially restate its position at trial: that the Marine Guardian’s failure to hold up under the bridge, radio Tako Invader, or *1146 take evasive action prior to the collision warrants more than a 25% share of the fault behind the collision. The district court concluded that the Marine Guardian violated the Inland Navigational Rules in all of these respects, 14 and Tako Towing’s sole complaint is the relative fault the court attached to these violations. If on remand the court finds that the Tako Invader violated Rules 9 and 14, we cannot say that a 75-25 apportionment of fault in favor of Marine Transport would be clearly erroneous.
Ill
For the foregoing reasons, we AFFIRM in part and REMAND in part.
Notes
. Captain Schipplein, the mate of the Tako Invader, confirmed this location in his deposition when he testified that when he saw the Luling Bridge range lights they were open, and the downriver light was positioned to the left of the upriver one. Although Captain Schipplein changed this testimony at trial, the court found his trial testimony incredible.
. Captain Schipplein testified that from the Tako Invader’s vantage point, he saw a green barge light downriver below the Luling Bridge and assumed it was a loose barge positioned sideways in the river.
. Tako Towing also argues that because the Marine Guardian was eventually able to make the voyage to Mexico for Exxon, "the voyage was never lost, but rather, was only delayed.” This argument is beside the point. The Marine Guardian missed fourteen days of earning revenue. Her ability to make a delayed voyage simply means she made one instead of possibly two voyages in that same amount of time. Furthermore, a plaintiff seeking detention damages need not prove a specific lost opportunity.
See In re M/V Nicole Trahan,
. Tako Towing does not contest the court’s finding that both vessels’ violations contributed to the collision (requiring an apportionment of liability). Tako Towing contests only the 75-25 ratio of the court’s allocation of fault.
. Rule 9 generally requires vessels to proceed through “narrow channels” staying to their starboard side of the channel. See infra at 1143-44.
. The “A Span” of the Luling Bridge, between the two main pilings, is 1200 feet wide. The actual width of the Mississippi River at that location is significantly greater. Although the court did not expressly find that the channel near the Luling Bridge is a narrow channel, its finding is implicit in its determination that the Tako Invader violated Rule 9.
. The court below appears to have assumed, without deciding, that Rule 9 applied.
. The statute defines the term “Western Rivers" to include the Mississippi River. See 33 U.S.C. § 2003(Z).
. Marine Transport cites two cases in support of its interpretation of Rules 9 and 14:
Hess Tankship Co. v. S.S. M.L. Gosney,
. Congress modeled most of the INRA on the International Regulations for Preventing Collisions at Sea, 1972 (“72 Colregs”)- See INRA Senate Report at 1.
.We also note that such a rule would be inconsistent with the point-bend custom on the Mississippi River which requires frequent departures from the port-to-port passing default rule. “According to this custom, the northbound vessel navigates upriver by going 'over the points,' that is, by navigating close to the points, while the southbound vessel ‘runs the bends,' that is, adheres as closely to the bends as safe navigation allows. This practice permits traffic proceeding upriver to avoid the strong current by taking advantage of the slack water beneath the point and allows the less maneuverable traffic proceeding downriver to run with the current into the bends.”
Canal Barge Co. v. China Ocean Shipping Co.,
. In fact, Rule 9(a)(ii) modifies both Rule 9(i) and 14(a). See 33 U.S.C. 2009(a)(ii) ("Notwithstanding paragraph (a)(i) and Rule 14(a)_"). The right of way provision of Rule 14 was added to the Rules in 1984, see Act of Oct. 30, 1984, Pub.L. No. 98-557, § 16, 98 Stat. 2860, 2867 (1984), but the reference in Rule 9(a)(ii) to Rule 14(a) was not removed, making the provisions redundant.
. We note that this question becomes all the more important if the court finds on remand that Rule 9 does not apply to the Luling Bridge channel.
. It is unclear from the court's ruling what rule the Marine Guardian violated when she failed to hold up under the bridge. The court found that the Marine Guardian violated Rule 14 (presumably 14(d)), but if failing to hold up under the bridge violated Rule 14(d), then it would also necessarily violate Rule 9(a)(ii). The court did not find the Marine Guardian in violation of Rule 9, however; we therefore instruct the district court to reconsider this issue on remand.
